Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.4s (20.2%)

Results

2.4s	8256×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess93.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2126×	`rational.json-simplify-35`
868×	`rational.json-simplify-51`
854×	`rational.json-simplify-2`
792×	`rational.json-simplify-1`
784×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	16	23
2	27	23
3	58	23
4	139	23
5	398	23
6	674	23
7	1489	23
8	2853	23
9	4847	23
10	7252	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2126×	`rational.json-simplify-35`
868×	`rational.json-simplify-51`
854×	`rational.json-simplify-2`
792×	`rational.json-simplify-1`
784×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	16	23
2	27	23
3	58	23
4	139	23
5	398	23
6	674	23
7	1489	23
8	2853	23
9	4847	23
10	7252	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 24 to 18 computations (25% saved)

series4.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`
1416×	`rational.json-3`
1408×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	72	51
2	182	51
3	409	51
4	1006	51
5	3909	51

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))

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

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(sqrt.f64 (+.f64 x 1))) x))))))))

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

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational.json-simplify-53`
966×	`rational.json-simplify-2`
884×	`rational.json-simplify-55`
632×	`rational.json-simplify-39`
620×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	4433
1	528	4367
2	2340	3707
3	4145	3543

Stop Event

1×	node limit

Counts

145 → 184

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2))
(.f64 4 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(*.f64 4 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x -2) (/.f64 -1 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 1/2))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/2))
(.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) 2)
(.f64 (/.f64 -1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(.f64 (/.f64 2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 x 4))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4) (*.f64 x 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(.f64 (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1/2 x))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 -1 x))
(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) 4)
(.f64 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (*.f64 x 4))
(.f64 (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x -2))
(.f64 (/.f64 1/2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 4)
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) (*.f64 x 8))
(.f64 (/.f64 -1 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (*.f64 x -2))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 1/4)
(*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 1/8)
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(/.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 8)
(/.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2) -2)
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 -2 (-.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) 16)
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 -2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(-.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 1/2 x) (+.f64 2 (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 2 (.f64 1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 2 (*.f64 -1/8 (pow.f64 x 2)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(+.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1/2))
(-.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (.f64 x (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))
(-.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1/2))
(-.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (.f64 x (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 4 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 4 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 x) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 x) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(.f64 8 (.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 8 (.f64 x (/.f64 -1/8 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 -2 (.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x -2) (/.f64 -1 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 -2 (.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
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(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))

eval226.0ms (1.9%)

Compiler: Compiled 2838 to 2295 computations (19.1% saved)

prune172.0ms (1.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	172	12	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	13	185

Error

0.0b

Counts

185 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	30.4b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
▶	30.4b	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
	20.3b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	21.0b	(/.f64 x 2)
▶	21.6b	(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
	21.7b	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
	30.4b	(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
▶	0.3b	(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
▶	0.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	21.0b	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
	21.0b	(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 x) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))))
	21.7b	(neg.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))

Compiler

Compiled 429 to 337 computations (21.4% saved)

localize163.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`rational.json-1`
1504×	`rational.json-2`
1504×	`rational.json-4`
1504×	`rational.json-3`
1486×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	79	46
2	183	46
3	385	46
4	872	46
5	2740	46
6	6465	46

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

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

Outputs

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

simplify852.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-35`
1358×	`rational.json-simplify-51`
1318×	`rational.json-simplify-2`
1182×	`rational.json-simplify-50`
1128×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2686
1	643	2686
2	1727	2674
3	5390	2674

Stop Event

1×	node limit

Counts

96 → 128

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 8 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x))
(/.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 -2 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 4)
(/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(/.f64 16 (+.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x)))
(/.f64 (.f64 x 8) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(/.f64 (.f64 x -2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(/.f64 (/.f64 (*.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(/.f64 (.f64 x 1/2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4))
(/.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8)))
(/.f64 (/.f64 (*.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 -1/2 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) 1/4)
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (.f64 x -2)) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8))) 32)
(/.f64 (+.f64 (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 16)
(/.f64 (+.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 x -2)) (neg.f64 (.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 2 x)))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 x -2))) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 4 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/4)
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)
(*.f64 1/4 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 x -1/8))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 x -1/8) (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 x -1/8) (+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 3) -5/128))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 (pow.f64 x 3) -5/128)) (*.f64 x -1/8)))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)) (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 3) -5/128)))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 3) -5/128))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 8 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 16 (+.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x 8) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x -2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x 1/2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (.f64 1/2 x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (/.f64 1/2 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1/2 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) 1/4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x -2)) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8))) 32)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 16)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (neg.f64 (.f64 x -2)) (neg.f64 (.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (.f64 x -2))) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 4 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/4)
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4)
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/4 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 1/2 (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 1/2 (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
0.0ms	x	@	0	(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))

rewrite203.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2518×	`rational.json-simplify-2`
1510×	`rational.json-simplify-35`
1296×	`rational.json-simplify-1`
1270×	`exponential.json-3`
1270×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	65	25
2	124	25
3	236	25
4	437	25
5	1016	25
6	2673	25
7	4621	25
8	5426	25
9	6584	25
10	7393	25
11	7426	25
12	7469	25

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 2) -1/2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))) 1)))))

simplify921.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

2886×	`rational.json-simplify-2`
2140×	`rational.json-simplify-43`
1990×	`rational.json-simplify-35`
1218×	`rational.json-simplify-51`
1174×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	895
1	135	895
2	218	895
3	377	895
4	778	895
5	1997	895
6	2985	895
7	3490	895
8	3651	895
9	3714	895
10	3773	895
11	3812	895
12	3850	895
13	3887	895
14	3921	895
15	3954	895
16	3987	895
17	4020	895
18	4053	895
19	4086	895
20	4119	895
21	6383	895
22	6685	895
23	6722	895
24	6755	895
25	6785	895
26	6815	895
27	7756	895
28	7793	895
29	7830	895
30	7860	895
31	7890	895
32	7920	895
33	7950	895
34	7980	895

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) 0)
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 2) -1/4)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)))
(.f64 (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))) 1)
(.f64 1 (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 1/2)
(.f64 4 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/8))
(.f64 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))) 1/4)
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4) 1/8)
(.f64 1/4 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 2) -1/2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)) 2)
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/8) 4)
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 2) -1/2)) 1/4)
(/.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) 1)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 2)
(/.f64 (.f64 2 (+.f64 x (.f64 (pow.f64 x 2) -1/4))) 4)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)))))) 256)
(pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) 0)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 2) -1/4)))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)))
(.f64 (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 1 (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 4 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/8))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))) 1/4)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4) 1/8)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 1/4 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 2) -1/4))))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 2) -1/2)))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/16) (*.f64 x 1/4)))
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 1/8) 4)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 2) -1/2)) 1/4)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 2)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 2 (+.f64 x (.f64 (pow.f64 x 2) -1/4))) 4)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 4) 8)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)) 16)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 4))) 32)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)))) 64)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) 4))))) 128)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 2) -1/4)) 4)))))) 256)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))

localize113.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite128.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`exponential.json-3`
1056×	`rational.json-1`
1056×	`rational.json-2`
1056×	`rational.json-4`
1056×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	97	24
2	234	24
3	599	24
4	2772	24

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1414×	`rational.json-simplify-2`
1410×	`rational.json-simplify-35`
1066×	`rational.json-simplify-50`
778×	`rational.json-simplify-44`
748×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	360	3731
1	1370	3599
2	5271	3599

Stop Event

1×	node limit

Counts

183 → 189

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 x 0)
(+.f64 0 x)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(*.f64 1 x)
(*.f64 x 1)
(.f64 x (.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 1 x) (.f64 x x))
(*.f64 -1 (neg.f64 x))
(*.f64 2 (/.f64 x 2))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 2 x))))
(*.f64 (+.f64 x x) 1/2)
(.f64 (/.f64 2 x) (/.f64 1 (.f64 (/.f64 1 x) (/.f64 2 x))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))
(.f64 (.f64 x x) (/.f64 1 x))
(.f64 (.f64 x 4) 1/4)
(*.f64 (neg.f64 x) -1)
(.f64 (.f64 x (/.f64 1 x)) x)
(*.f64 (/.f64 x (/.f64 (/.f64 1 x) 2)) (/.f64 (/.f64 1 x) 2))
(*.f64 1/2 (+.f64 x x))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 (/.f64 1 x) (/.f64 2 x))))
(*.f64 (/.f64 x x) x)
(.f64 (/.f64 x (/.f64 1 (.f64 x x))) (/.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (/.f64 2 x))) (/.f64 2 x))
(.f64 1/4 (.f64 x 4))
(*.f64 (/.f64 x 2) 2)
(*.f64 (/.f64 (/.f64 1 x) 2) (/.f64 x (/.f64 (/.f64 1 x) 2)))
(.f64 (/.f64 x (.f64 (/.f64 1 x) (/.f64 2 x))) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 2 x))) 2)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 1 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 1 x)))))
(/.f64 1 (-.f64 0 (*.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (/.f64 (.f64 x (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))
(/.f64 x (/.f64 (*.f64 x (/.f64 2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 x x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 x (/.f64 1 x)))
(/.f64 -1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 1 x))))
(/.f64 -1 (*.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -1 (-.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (+.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (+.f64 x x) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 x (/.f64 1 x))))
(/.f64 (+.f64 x x) (-.f64 0 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 x x) (-.f64 0 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 x) (/.f64 2 x))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (.f64 (/.f64 2 x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 x x) (/.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 x x) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 2 x))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 4 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) x))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (.f64 (/.f64 1 x) 4) (.f64 4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 x x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 -2 (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 -2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 -2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 2 x))))
(/.f64 -2 (.f64 (/.f64 1 x) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 -2 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (.f64 (/.f64 1 x) 4))
(/.f64 8 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 2 x) 4)))
(/.f64 (-.f64 (neg.f64 x) x) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (neg.f64 x) x) (/.f64 -2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (.f64 2 (.f64 x 4)) (/.f64 8 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 x (+.f64 x x)) (/.f64 (.f64 x 4) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 x)))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(/.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 x) 4))
(/.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 x x)))
(/.f64 (.f64 x (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (*.f64 x (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 -2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) 8)
(/.f64 (.f64 2 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 (.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 x) 4))
(/.f64 (.f64 2 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 2 x) 4))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 (/.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(/.f64 (/.f64 (*.f64 x 4) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)
(/.f64 (/.f64 -2 (/.f64 1 x)) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 -2 (/.f64 1 x)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 (/.f64 8 (/.f64 1 x)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 2 x)))
(/.f64 (/.f64 8 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 2 x) 4))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (/.f64 1 x)) 4)
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (.f64 x x))
(/.f64 (/.f64 (.f64 x (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (/.f64 1 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/2)
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x)) 1/2)
(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) x) (/.f64 2 (.f64 x x)))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) 2)
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 2 x))
(/.f64 (neg.f64 (.f64 x (/.f64 2 x))) (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (*.f64 (/.f64 1 x) 4)))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 x))
(/.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (neg.f64 (.f64 (/.f64 1 x) 4)))
(/.f64 (neg.f64 (.f64 2 (.f64 x 4))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 x))) (-.f64 0 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 x))) (-.f64 0 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 x))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (*.f64 x (/.f64 1 x))) (-.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 x (/.f64 1 x))))
(/.f64 (neg.f64 (.f64 2 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 (.f64 (/.f64 1 x) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (.f64 (/.f64 2 x) 4)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 (/.f64 1 x) (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 2 x))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 8 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 (/.f64 2 x) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 x (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) x)) (-.f64 0 (/.f64 2 (.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) (-.f64 0 (/.f64 2 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (/.f64 2 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 2 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (*.f64 (/.f64 1 x) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (neg.f64 (/.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 x 0)
x
(+.f64 0 x)
x
(+.f64 -1 (-.f64 1 (neg.f64 x)))
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(.f64 x (.f64 x (/.f64 1 x)))
x
(*.f64 x (/.f64 x x))
x
(.f64 (/.f64 1 x) (.f64 x x))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 2 (/.f64 x 2))
x
(.f64 2 (/.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 2 x))))
x
(*.f64 (+.f64 x x) 1/2)
x
(.f64 (/.f64 2 x) (/.f64 1 (.f64 (/.f64 1 x) (/.f64 2 x))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 1 x))
x
(.f64 (.f64 x 4) 1/4)
x
(*.f64 (neg.f64 x) -1)
x
(.f64 (.f64 x (/.f64 1 x)) x)
x
(*.f64 (/.f64 x (/.f64 (/.f64 1 x) 2)) (/.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 1/2 x)))
(*.f64 1/2 (+.f64 x x))
x
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 (/.f64 1 x) (/.f64 2 x))))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x x)) (*.f64 x (/.f64 x (/.f64 2 x))))
(*.f64 (/.f64 x x) x)
x
(.f64 (/.f64 x (/.f64 1 (.f64 x x))) (/.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (/.f64 2 x))) (/.f64 2 x))
(.f64 (/.f64 2 x) (/.f64 1 (.f64 (/.f64 1 x) (/.f64 2 x))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 2 x)))
(.f64 1/4 (.f64 x 4))
x
(*.f64 (/.f64 x 2) 2)
x
(*.f64 (/.f64 (/.f64 1 x) 2) (/.f64 x (/.f64 (/.f64 1 x) 2)))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 x (.f64 (/.f64 1 x) (/.f64 2 x))) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 (/.f64 1 x) (/.f64 2 x))))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x x)) (*.f64 x (/.f64 x (/.f64 2 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 2 x))) 2)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 0 (*.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (.f64 x (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (*.f64 x (/.f64 2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 x x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 x (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (*.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x x) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 x (/.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x x) (-.f64 0 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x x) (-.f64 0 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 x) (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (.f64 (/.f64 2 x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))
(/.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))
(/.f64 (*.f64 x x) (/.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 x x) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 4 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (/.f64 1 x) 4) (.f64 4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 x x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (.f64 (/.f64 1 x) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -2 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (.f64 (/.f64 1 x) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 8 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 2 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (neg.f64 x) x) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (neg.f64 x) x) (/.f64 -2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 x 4)) (/.f64 8 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x (+.f64 x x)) (/.f64 (.f64 x 4) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 x) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 x (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 -2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) 8)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 x) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 2 x) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 x 4) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 -2 (/.f64 1 x)) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 -2 (/.f64 1 x)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 8 (/.f64 1 x)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 8 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 2 x) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (/.f64 1 x)) 4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (*.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (.f64 x (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x)) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) x) (/.f64 2 (.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 1 (*.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 2 (*.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 1 (*.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x (/.f64 2 x))) (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (*.f64 (/.f64 1 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (neg.f64 (.f64 (/.f64 1 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (.f64 x 4))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 x))) (-.f64 0 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 x))) (-.f64 0 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 x))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (*.f64 x (/.f64 1 x))) (-.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 x (/.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 (.f64 (/.f64 1 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (.f64 (/.f64 2 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 (/.f64 1 x) (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 -1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 8 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (*.f64 (/.f64 2 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (neg.f64 (.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (.f64 x (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (neg.f64 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) x)) (-.f64 0 (/.f64 2 (.f64 x x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 -1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) (-.f64 0 (/.f64 2 (*.f64 x x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 -1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (*.f64 (/.f64 1 x) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (neg.f64 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.1b	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
✓	0.1b	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x)
✓	30.1b	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))

Compiler

Compiled 58 to 44 computations (24.1% saved)

series4.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
0.0ms	x	@	inf	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
0.0ms	x	@	inf	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
0.0ms	x	@	-inf	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-simplify-50`
1226×	`exponential.json-3`
1226×	`rational.json-1`
1226×	`rational.json-2`
1226×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	111
1	110	111
2	342	99
3	1492	87
4	4746	87

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-51`
1186×	`rational.json-simplify-53`
1154×	`rational.json-simplify-49`
1096×	`rational.json-simplify-46`
936×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4837
1	816	4777
2	2415	4717
3	5519	4717

Stop Event

1×	node limit

Counts

137 → 176

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(-.f64 (+.f64 (.f64 1/32 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) 1/16)
(/.f64 1 x)
(+.f64 1/4 (/.f64 1 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (.f64 -1/16 x) (+.f64 (.f64 1/32 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 x))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(.f64 (.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(.f64 (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(.f64 (.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 x x))
(.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 x 4))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(-.f64 0 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 1 (.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 (.f64 x x)))
(.f64 (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 x))
(.f64 (.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 1/2)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 4)))
(.f64 (/.f64 2 x) (.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (neg.f64 (.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) -1)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (*.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) 4)))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 x x)) (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))
(.f64 (.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 4)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))
(.f64 (.f64 1/2 (/.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(neg.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))
(/.f64 x (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (neg.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (.f64 x 4) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x (*.f64 x 4))))
(/.f64 1 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 x (.f64 x 4)) (+.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 0 (neg.f64 (+.f64 x x))))
(/.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(/.f64 (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (-.f64 0 (.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (/.f64 1 x))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) (/.f64 2 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)
(/.f64 2 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (.f64 x 4))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) (.f64 2 (/.f64 2 x)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) -1)
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (*.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 4)
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 2 (*.f64 x 4)))
(/.f64 (.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (.f64 2 (*.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 8)
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) x)
(/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) (*.f64 x (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (neg.f64 (.f64 x 4)))
(/.f64 -2 (-.f64 0 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) (.f64 2 (neg.f64 x)))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (+.f64 x x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 x x)) 1/2)
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (-.f64 0 (.f64 2 (*.f64 x 4))))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) (-.f64 0 (.f64 2 (/.f64 2 x))))
(/.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) x)
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))) (neg.f64 (*.f64 x (+.f64 x x))))
(/.f64 (neg.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (-.f64 0 (.f64 2 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) x)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 1/4 (/.f64 1 x)) 1/16))
(-.f64 (+.f64 (.f64 1/32 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) 1/16)
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/4 (/.f64 1 x))) (-.f64 (.f64 x 1/32) 1/16))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (-.f64 (.f64 1/4 (/.f64 1 x)) 1/16) (.f64 x 1/32)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 x 1/32) (-.f64 (.f64 1/4 (/.f64 1 x)) 1/16)))
(/.f64 1 x)
(+.f64 1/4 (/.f64 1 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (/.f64 1 x) (*.f64 x -1/16)))
(+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))
(+.f64 1/4 (+.f64 (.f64 -1/16 x) (+.f64 (.f64 1/32 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1/4 (+.f64 (.f64 x -1/16) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 2) 1/32))))
(+.f64 (.f64 (pow.f64 x 2) 1/32) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (*.f64 x x))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1 x) (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (+.f64 x x)))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 2 (/.f64 x x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (*.f64 x x))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
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(/.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (-.f64 0 (.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (/.f64 1 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) (/.f64 2 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 2 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (.f64 x 4))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x 4))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) (.f64 2 (/.f64 2 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) -1)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (*.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) (neg.f64 (/.f64 1 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 4)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 2 (*.f64 x 4)))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (.f64 2 (*.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 8)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (neg.f64 (+.f64 x x))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)) (neg.f64 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) (*.f64 x (+.f64 x x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (/.f64 2 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (neg.f64 (.f64 x 4)))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x 4))
(/.f64 -2 (-.f64 0 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) (.f64 2 (neg.f64 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (+.f64 x x))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 x x)) 1/2)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (-.f64 0 (.f64 2 (*.f64 x 4))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) (-.f64 0 (.f64 2 (/.f64 2 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) x)
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))) (neg.f64 (*.f64 x (+.f64 x x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (-.f64 0 (.f64 2 (neg.f64 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (neg.f64 (+.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (neg.f64 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))

eval358.0ms (3%)

Compiler: Compiled 12279 to 9776 computations (20.4% saved)

prune251.0ms (2.1%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	718	16	734
Fresh	5	2	7
Picked	0	1	1
Done	1	4	5
Total	724	23	747

Error

0.0b

Counts

747 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	21.7b	(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
	44.0b	(/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))
	30.4b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
	0.3b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
	43.1b	(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) x))
	42.5b	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
▶	41.8b	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
✓	30.4b	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
	34.5b	(/.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
	21.8b	(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
	20.3b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	21.0b	(/.f64 x 2)
▶	0.3b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
	20.4b	(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 (.f64 1/2 x) 2)))
✓	0.3b	(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
	20.3b	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	0.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	30.4b	(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
▶	21.2b	(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)
▶	21.6b	(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)
▶	0.3b	(.f64 (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)

Compiler

Compiled 580 to 445 computations (23.3% saved)

localize74.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 39 computations (26.4% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite137.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1946×	`rational.json-1`
1946×	`rational.json-2`
1468×	`rational.json-simplify-35`
884×	`exponential.json-3`
884×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	94	64
2	229	64
3	601	64
4	2201	46
5	7088	46

Stop Event

1×	node limit

Counts

2 → 330

Calls

Call 1

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

Outputs

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

simplify250.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-50`
1344×	`rational.json-simplify-49`
996×	`rational.json-simplify-46`
914×	`rational.json-simplify-35`
838×	`rational.json-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	13342
1	2783	12418
2	5613	12266

Stop Event

1×	node limit

Counts

338 → 503

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 0 x))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 0 (/.f64 1 x)))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (.f64 -1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (-.f64 0 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x)))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(/.f64 (+.f64 x x) (.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (+.f64 x x) (+.f64 (.f64 -1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 -1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)
(/.f64 (/.f64 2 x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 4 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (.f64 x 4) (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (.f64 x 4) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (/.f64 1 x)))
(/.f64 (.f64 x 4) (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) (.f64 (.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x))
(/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 (/.f64 1 x)))
(/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 x x))
(/.f64 (neg.f64 x) (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)))
(/.f64 (neg.f64 x) (-.f64 0 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 8 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 -2 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (.f64 (/.f64 1 x) 4) (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (.f64 (+.f64 x x) 4) (.f64 x (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)))
(/.f64 (.f64 (+.f64 x x) 4) (+.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (/.f64 1 x)) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (/.f64 1 x))))
(/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (.f64 x 4))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (+.f64 (/.f64 2 (/.f64 1 x)) (/.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) x))
(/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(/.f64 (.f64 x -2) (.f64 x (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 x -2) (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))))
(/.f64 (.f64 x -2) (-.f64 0 (.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))))
(/.f64 16 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)))
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(/.f64 (.f64 2 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) 8)
(/.f64 (.f64 2 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 x -2))
(/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (+.f64 (.f64 x (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) (.f64 x (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4))))
(/.f64 -4 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -4 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (.f64 2 (.f64 x -2)) (+.f64 (.f64 x (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 x (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (.f64 2 (.f64 x -2)) (+.f64 (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))))
(/.f64 (.f64 2 (.f64 (/.f64 1 x) 4)) (+.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 x (+.f64 x x)))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (*.f64 (+.f64 x x) 4))
(/.f64 (/.f64 (.f64 x 4) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 4)
(/.f64 (/.f64 8 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (*.f64 (+.f64 x x) 4))
(/.f64 (/.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (*.f64 x -2))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) 4) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 4)
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) x) (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) x) 4)
(/.f64 (/.f64 (.f64 x -2) x) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -1)
(/.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)))
(/.f64 (/.f64 2 (/.f64 1 x)) (.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 x -2)) 1/2)
(/.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) x) -1)
(/.f64 (/.f64 -1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 x -2))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (neg.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (/.f64 4 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) x))
(/.f64 (+.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 x -2)) (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 x -2))) 1)
(/.f64 (+.f64 (.f64 (/.f64 1 x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x)) (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 2 x))
(/.f64 -8 (+.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 -8 (-.f64 0 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)))
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(/.f64 (/.f64 x (*.f64 x -2)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (+.f64 x x)))
(/.f64 (/.f64 x 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -2)
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) -4)
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (.f64 x -2)) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x) (/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) x))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x) (/.f64 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (+.f64 x x)))
(/.f64 (/.f64 4 x) (/.f64 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) x))
(/.f64 (/.f64 4 x) (/.f64 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) x) x))
(/.f64 (/.f64 (.f64 x 4) (neg.f64 x)) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (neg.f64 x)))
(/.f64 (/.f64 (.f64 x 4) (neg.f64 x)) (/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) x))
(/.f64 (+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (.f64 2 (.f64 (+.f64 x x) 4))) (+.f64 (.f64 2 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) (.f64 2 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4))))
(/.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (+.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (+.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 x x) 4) x) (/.f64 (.f64 (+.f64 x x) 4) x)) (+.f64 (/.f64 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4) x) (/.f64 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4) x)))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) x) (/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) x)) (+.f64 (/.f64 4 x) (/.f64 4 x)))
(/.f64 (+.f64 (/.f64 (.f64 x -2) x) (/.f64 (.f64 x -2) x)) (+.f64 (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) x)))
(/.f64 (+.f64 (/.f64 x (/.f64 1 x)) (/.f64 x (/.f64 1 x))) (.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (+.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 -1 (/.f64 1 x))) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (/.f64 2 (/.f64 1 x)) (/.f64 2 (/.f64 1 x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (+.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 (+.f64 x x) (/.f64 1 x))) (.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (+.f64 (/.f64 4 (/.f64 1 x)) (/.f64 4 (/.f64 1 x))) (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 1 x)) (/.f64 (.f64 x 4) (/.f64 1 x))) (.f64 x (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))) (*.f64 x 4))
(/.f64 (+.f64 (/.f64 x (neg.f64 (/.f64 1 x))) (/.f64 x (neg.f64 (/.f64 1 x)))) (.f64 x (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (/.f64 1 x)) (/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (/.f64 1 x))) (*.f64 (+.f64 x x) 4))
(/.f64 (+.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))) (*.f64 x -2))
(/.f64 (+.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (+.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (/.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 x -2)) (neg.f64 (.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 x (/.f64 1 x))) (-.f64 0 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 x))) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1 x))) (-.f64 0 (.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))))
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 x))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 1 x))) (-.f64 0 (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))) (*.f64 x -2))
(/.f64 (neg.f64 (/.f64 x (neg.f64 (/.f64 1 x)))) (-.f64 0 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (/.f64 1 x))) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 x))
(/.f64 (neg.f64 (.f64 (+.f64 x x) 4)) (-.f64 0 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1/2 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 2 (neg.f64 x)) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (neg.f64 x)) (/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 x)))
(/.f64 (/.f64 4 (neg.f64 x)) (/.f64 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 x)))
(/.f64 (/.f64 4 (neg.f64 x)) (/.f64 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) x) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (neg.f64 x)) (/.f64 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) (/.f64 2 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 (/.f64 1 x) (+.f64 x x)))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) (/.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (neg.f64 x)) (/.f64 4 (neg.f64 x)))
(/.f64 (/.f64 (.f64 x -2) (/.f64 1 x)) (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 (/.f64 -1 (+.f64 x x)) (/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 x x)))
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 1 x)) (/.f64 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4) (/.f64 1 x)))
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) (neg.f64 x)) (/.f64 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4) (neg.f64 x)))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) (/.f64 (/.f64 1/2 x) (/.f64 1 x)))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) (/.f64 (/.f64 1/2 x) (neg.f64 x)))
(/.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 -1 (+.f64 x x)))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) x) (/.f64 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) x))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (/.f64 1 x)) (/.f64 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) (/.f64 1 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (neg.f64 x)) (/.f64 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) (neg.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) x) (/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) x))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) (/.f64 1 x)) (/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) (neg.f64 x)) (/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) x) (/.f64 8 x))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (/.f64 1 x)) (/.f64 8 (/.f64 1 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (neg.f64 x)) (/.f64 8 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)) (/.f64 1/2 (/.f64 1 x)))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 x x)) (/.f64 1/2 (+.f64 x x)))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x)) (/.f64 1/2 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 x 4)) (/.f64 1 x)) (/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) (/.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (.f64 x 4)) (+.f64 x x)) (/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) (+.f64 x x)))
(/.f64 (/.f64 (neg.f64 (.f64 x -2)) (/.f64 1 x)) (.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 x -2)) (+.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))

Outputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 -5/128 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 3))) (*.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 -5/128 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 0 x))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 0 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (.f64 -1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (-.f64 0 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x)))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 2 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 2 (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x x) (.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (+.f64 x x) (.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (/.f64 2 (.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (+.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 x) (*.f64 x x))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1/2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 2 (neg.f64 x)) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (neg.f64 x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (neg.f64 x)) (/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (neg.f64 x))))))
(/.f64 (/.f64 4 (neg.f64 x)) (/.f64 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 x)))
(/.f64 4 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 4 (neg.f64 x)))))
(/.f64 4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (neg.f64 x) (/.f64 4 (neg.f64 x)))))
(/.f64 (/.f64 -4 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 -4 x)))
(/.f64 (/.f64 4 (neg.f64 x)) (/.f64 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) x) (neg.f64 x)))
(/.f64 4 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 4 (neg.f64 x)))))
(/.f64 4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (neg.f64 x) (/.f64 4 (neg.f64 x)))))
(/.f64 (/.f64 -4 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 -4 x)))
(/.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (neg.f64 x)) (/.f64 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 2 (neg.f64 x)))) (neg.f64 x))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 2 (neg.f64 x)))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 -2 x) x)) (.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -2 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) (/.f64 2 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) (/.f64 2 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 x) (/.f64 2 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 x (/.f64 -2 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -2 x))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 (/.f64 1 x) (+.f64 x x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) (/.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 -1 x) x))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (neg.f64 x)) (/.f64 4 (neg.f64 x)))
(/.f64 4 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 4 (neg.f64 x)))))
(/.f64 4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (neg.f64 x) (/.f64 4 (neg.f64 x)))))
(/.f64 (/.f64 -4 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 -4 x)))
(/.f64 (/.f64 (.f64 x -2) (/.f64 1 x)) (/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 -1 (+.f64 x x)) (/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 x x)))
(/.f64 (+.f64 x x) (/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 (+.f64 x x))))
(/.f64 -1 (*.f64 (+.f64 x x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) (+.f64 x x))))
(/.f64 -1 (.f64 -2 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)) x)))
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 1 x)) (/.f64 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (/.f64 (.f64 4 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 4 (/.f64 x (/.f64 1/2 x)))))
(/.f64 (.f64 x 8) (.f64 (/.f64 1 x) (.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 1/4))))
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) (neg.f64 x)) (/.f64 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4) (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (.f64 4 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 4 (/.f64 (+.f64 x x) (neg.f64 x)))))
(/.f64 (neg.f64 x) (.f64 4 (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (/.f64 (*.f64 x 8) x)))))
(/.f64 (/.f64 (.f64 x -8) x) (.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 -4 x)))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)) (/.f64 (/.f64 1/2 x) (/.f64 1 x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) (/.f64 (/.f64 1/2 x) (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (/.f64 1/2 x) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))))
(/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 x) (/.f64 (/.f64 1/2 x) (neg.f64 x))))
(/.f64 (/.f64 (/.f64 1/2 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 -1/2 x) x))
(/.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x)) (/.f64 -1 (+.f64 x x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) x) (/.f64 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) x))
(/.f64 x (/.f64 (.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) 8) (/.f64 (*.f64 (+.f64 x x) 8) x)))
(.f64 (/.f64 2 x) (/.f64 (.f64 x 8) (.f64 8 (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) x))))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (/.f64 1 x)) (/.f64 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) (/.f64 1 x)))
(/.f64 (.f64 (.f64 4 (+.f64 x x)) (/.f64 x 1/2)) (/.f64 (.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) 8) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (.f64 8 (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 x 1/2) (.f64 x 8)))))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (neg.f64 x)) (/.f64 (.f64 2 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) 4)) (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) 8) (/.f64 (*.f64 (+.f64 x x) 8) (neg.f64 x))))
(/.f64 (neg.f64 x) (.f64 8 (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (neg.f64 (/.f64 (.f64 x 8) x))))))
(/.f64 (neg.f64 x) (.f64 8 (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 8 (.f64 x (/.f64 -2 x))))))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) x) (/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) x))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) (/.f64 1 x)) (/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(/.f64 (.f64 (.f64 x -2) (/.f64 x 1/2)) (.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 x (/.f64 x 1/4))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4) (/.f64 1 x)))
(/.f64 (/.f64 x (neg.f64 (/.f64 1/4 x))) (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4) (/.f64 1 x)))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) (neg.f64 x)) (/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x)))
(/.f64 (/.f64 (.f64 x -4) (neg.f64 x)) (.f64 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 (neg.f64 x))))
(/.f64 (neg.f64 x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 -4 (/.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 x (/.f64 4 x))))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) x) (/.f64 8 x))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (/.f64 1 x)) (/.f64 8 (/.f64 1 x)))
(/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 8) (.f64 (/.f64 1 x) (/.f64 x 1/8)))
(.f64 8 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 1 x) (/.f64 x 1/8))))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) (neg.f64 x)) (/.f64 8 (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 8 (/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 8) (neg.f64 x))))
(/.f64 (*.f64 8 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))) (/.f64 8 (neg.f64 x)))
(/.f64 (*.f64 8 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))) (/.f64 -8 x))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x) (/.f64 1/2 x))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)) (/.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 x x)) (/.f64 1/2 (+.f64 x x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x)) (/.f64 1/2 (neg.f64 x)))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (neg.f64 (.f64 x 4)) (/.f64 1 x)) (/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (/.f64 1 (neg.f64 (.f64 x 4))))))
(/.f64 (/.f64 1 x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -4) (neg.f64 (.f64 x (/.f64 x 1/4)))))
(/.f64 (/.f64 x (neg.f64 (/.f64 1/4 x))) (/.f64 x (neg.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 (neg.f64 (.f64 x 4)) (+.f64 x x)) (/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) (+.f64 x x)))
(/.f64 (neg.f64 (.f64 x 4)) (.f64 (+.f64 x x) (/.f64 (neg.f64 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))))
(/.f64 (.f64 x (/.f64 -2 x)) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -4) (+.f64 x x)))
(/.f64 (.f64 x -4) (.f64 -2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (/.f64 2 x)))))
(/.f64 (/.f64 (neg.f64 (.f64 x -2)) (/.f64 1 x)) (.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (/.f64 x (/.f64 1/2 x)) (.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 x x) (.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 x x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x -2)) (+.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 (/.f64 0 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)
0.0ms	x	@	0	(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)

rewrite204.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`exponential.json-3`
1366×	`rational.json-1`
1366×	`rational.json-2`
1366×	`rational.json-4`
1366×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	53	19
2	107	19
3	213	19
4	393	19
5	869	19
6	2209	19
7	3886	19
8	5032	19
9	6477	19
10	7269	19
11	7379	19
12	7671	19

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 1/2)) (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 x -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 x) 1/2) (*.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)))))

simplify588.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

3304×	`rational.json-simplify-35`
2930×	`rational.json-simplify-2`
1836×	`rational.json-simplify-53`
990×	`exponential.json-simplify-26`
814×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	530
1	135	530
2	247	530
3	520	530
4	1821	530
5	3687	530
6	4735	530
7	4971	530
8	5121	530
9	5267	530
10	5408	530
11	6293	530
12	6583	530
13	6590	530
14	6590	530
15	6730	530
16	6893	530
17	7033	530
18	7173	530
19	7313	530
20	7741	530

Stop Event

1×	node limit

Counts

26 → 21

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 0)
(+.f64 0 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 1/2)) (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 1/2)))
(-.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 0)
(/.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 1)
(/.f64 (.f64 x (+.f64 1 (.f64 x -1/4))) 2)
(/.f64 (.f64 x (.f64 (+.f64 (*.f64 -1/8 x) 1/2) 4)) 4)
(/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (*.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (*.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (*.f64 x 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 8))))))) 256)
(pow.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 0)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(+.f64 0 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)))
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 1/2)) (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 1/2)))
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(-.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 0)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 1)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 x (+.f64 1 (.f64 x -1/4))) 2)
(.f64 (+.f64 1 (.f64 x -1/4)) (/.f64 x 2))
(.f64 x (/.f64 (+.f64 1 (.f64 x -1/4)) 2))
(.f64 1/2 (.f64 x (+.f64 1 (*.f64 x -1/4))))
(/.f64 (.f64 x (.f64 (+.f64 (*.f64 -1/8 x) 1/2) 4)) 4)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (*.f64 x 8)) 8)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 8))) 16)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (*.f64 x 8)))) 32)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 8))))) 64)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (*.f64 x 8)))))) 128)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/8 x) 1/2) (.f64 x 8))))))) 256)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(pow.f64 (.f64 x (+.f64 (.f64 -1/8 x) 1/2)) 1)
(.f64 x (+.f64 1/2 (.f64 x -1/8)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1/4 (/.f64 1 x)) x)
✓	21.5b	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) x))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 1/4 (/.f64 1 x)) x)
0.0ms	x	@	0	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
0.0ms	x	@	inf	(/.f64 (+.f64 1/4 (/.f64 1 x)) x)
0.0ms	x	@	inf	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
0.0ms	x	@	0	(/.f64 (+.f64 1/4 (/.f64 1 x)) x)

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`rational.json-simplify-35`
1190×	`rational.json-simplify-50`
1030×	`exponential.json-3`
1030×	`rational.json-1`
1030×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	95	50
2	292	50
3	1126	38
4	3833	38

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
(/.f64 (+.f64 1/4 (/.f64 1 x)) x)

Outputs

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

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational.json-simplify-2`
930×	`rational.json-simplify-53`
866×	`rational.json-simplify-55`
820×	`rational.json-simplify-44`
778×	`rational.json-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	2588
1	414	2588
2	1046	2588
3	4203	2588

Stop Event

1×	node limit

Counts

122 → 123

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(/.f64 1/4 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(/.f64 1/4 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 0 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(+.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 0)
(+.f64 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))))
(-.f64 0 (/.f64 -1/2 (+.f64 1/4 (/.f64 1 x))))
(-.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 0)
(*.f64 1/2 (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(*.f64 x (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))))
(*.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1/4 (/.f64 1 x))))
(*.f64 1 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x)))))
(*.f64 2 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) (*.f64 x 4))))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x))))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))))
(.f64 (+.f64 x x) (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))))
(.f64 (.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x)))) (/.f64 1 x))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) 8))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (*.f64 x x) 8))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))))
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 1/2 (*.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))))
(*.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 -1 (/.f64 (+.f64 1/4 (/.f64 1 x)) x)))
(*.f64 (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2) (/.f64 -1 x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))))
(*.f64 -1 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x))))
(*.f64 -1 (/.f64 (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2) x))
(*.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 1)
(*.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) (/.f64 x x))
(*.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) (/.f64 1 (/.f64 x x)))
(*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))) x)
(*.f64 (/.f64 x x) (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(.f64 (.f64 x (/.f64 2 x)) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))))
(*.f64 (/.f64 -1/2 (+.f64 1/4 (/.f64 1 x))) -1)
(.f64 (.f64 x (/.f64 1/2 x)) (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) 1/2)
(.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) (.f64 x (/.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) (/.f64 x (+.f64 x x)))
(.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) (/.f64 1 (.f64 x (/.f64 2 x))))
(*.f64 (/.f64 -1 (/.f64 (+.f64 1/4 (/.f64 1 x)) x)) (neg.f64 (/.f64 1/2 x)))
(*.f64 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))) 2)
(.f64 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))) (.f64 x (/.f64 2 x)))
(.f64 (.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x)))) (+.f64 x x))
(.f64 (.f64 (/.f64 1 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))) (+.f64 x x))
(*.f64 (/.f64 x (+.f64 x x)) (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(.f64 (/.f64 (/.f64 1/2 x) (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))) 2)
(*.f64 (/.f64 1 (/.f64 x x)) (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(.f64 (/.f64 1 (.f64 x (/.f64 2 x))) (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(*.f64 (/.f64 -1 x) (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2))
(.f64 (/.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) (*.f64 x 4))) 2)
(.f64 (/.f64 1 (.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) 8))) (.f64 x 4))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (*.f64 x 4))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (+.f64 x x))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))) (*.f64 (/.f64 1/2 x) 4))
(*.f64 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x))) -1)
(*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2) x) -1)
(.f64 (/.f64 -1 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))) (neg.f64 x))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x))))) 2)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))) (*.f64 x 4))
(pow.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 1)
(neg.f64 (/.f64 -1/2 (+.f64 1/4 (/.f64 1 x))))
(+.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 0)
(+.f64 0 (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
(-.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 0)
(-.f64 0 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)))
(.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (+.f64 1/2 (.f64 (/.f64 1/2 x) 4)))
(.f64 1/4 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 4))
(*.f64 1 (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
(*.f64 (/.f64 1 x) (+.f64 1/4 (/.f64 1 x)))
(*.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 1)
(.f64 (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x)) 1/2)
(*.f64 2 (/.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 2))
(.f64 2 (.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))))
(.f64 4 (/.f64 (+.f64 1/4 (/.f64 1 x)) (.f64 x 4)))
(.f64 (+.f64 1/2 (.f64 (/.f64 1/2 x) 4)) (/.f64 1/2 x))
(.f64 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 4) 1/4)
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 (+.f64 1/4 (/.f64 1 x)) 2))
(.f64 (.f64 (/.f64 1/2 x) 4) (*.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(.f64 (.f64 (+.f64 1/4 (/.f64 1 x)) 4) (/.f64 1/2 (+.f64 x x)))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)) -1)
(*.f64 -1 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)))
(*.f64 (neg.f64 (+.f64 1/4 (/.f64 1 x))) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x)) 2)
(.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) 2) (.f64 (/.f64 1/2 x) 4))
(*.f64 (/.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 2) 2)
(.f64 (/.f64 1/2 (+.f64 x x)) (.f64 (+.f64 1/4 (/.f64 1 x)) 4))
(.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (.f64 x 4)) 4)
(*.f64 (/.f64 -1 x) (neg.f64 (+.f64 1/4 (/.f64 1 x))))
(.f64 (.f64 1/2 (+.f64 1/4 (/.f64 1 x))) (*.f64 (/.f64 1/2 x) 4))
(.f64 (.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 1)
(neg.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 8 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 8 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(/.f64 1/4 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(/.f64 1/4 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 x) 1/4))
(+.f64 0 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 0)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(-.f64 0 (/.f64 -1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(-.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 0)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 1/2 (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 x (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 1 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x)))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 2 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 2 (/.f64 (/.f64 1/2 x) (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 2 (/.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) (*.f64 x 4))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x))))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x)))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (+.f64 x x) (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x)))) (/.f64 1 x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) 8))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (*.f64 x x) 8))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 1/2 (*.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 -1 (/.f64 (+.f64 1/4 (/.f64 1 x)) x)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2) (/.f64 -1 x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 -1 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 -1 (/.f64 (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2) x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) (/.f64 1/2 x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) (/.f64 x x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) (/.f64 1 (/.f64 x x)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))) x)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 x x) (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 x (/.f64 2 x)) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 -1/2 (+.f64 1/4 (/.f64 1 x))) -1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 x (/.f64 1/2 x)) (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))) (+.f64 x x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) 1/2)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) (.f64 x (/.f64 1/2 x)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) (/.f64 x (+.f64 x x)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1 (+.f64 1/4 (/.f64 1 x))) (/.f64 1 (.f64 x (/.f64 2 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 -1 (/.f64 (+.f64 1/4 (/.f64 1 x)) x)) (neg.f64 (/.f64 1/2 x)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))) 2)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1/4 (+.f64 1/4 (/.f64 1 x))) (.f64 x (/.f64 2 x)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x)))) (+.f64 x x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (/.f64 1 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))) (+.f64 x x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 x (+.f64 x x)) (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 (/.f64 1/2 x) (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))) 2)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1 (/.f64 x x)) (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1 (.f64 x (/.f64 2 x))) (/.f64 1 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 -1 x) (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) (*.f64 x 4))) 2)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1 (.f64 x (.f64 (+.f64 1/4 (/.f64 1 x)) 8))) (.f64 x 4))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (*.f64 x 4))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (+.f64 x x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x))) (*.f64 (/.f64 1/2 x) 4))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x))) -1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 1/4 (/.f64 1 x))) -2) x) -1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 -1 (.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x))) (neg.f64 x))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 x (+.f64 1/4 (/.f64 1 x))))) 2)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/4 (+.f64 1/4 (/.f64 1 x)))) (*.f64 x 4))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(pow.f64 (/.f64 1/2 (+.f64 1/4 (/.f64 1 x))) 1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(neg.f64 (/.f64 -1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 0)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(+.f64 0 (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(-.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 0)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(-.f64 0 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 1/2 (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (/.f64 1/2 x) (+.f64 1/2 (.f64 (/.f64 1/2 x) 4)))
(.f64 (/.f64 1/2 x) (+.f64 1/2 (.f64 4 (/.f64 1/2 x))))
(.f64 1/4 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 4))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 1 (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (/.f64 1 x) (+.f64 1/4 (/.f64 1 x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 1)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (.f64 (+.f64 1/4 (/.f64 1 x)) (/.f64 2 x)) 1/2)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 2 (/.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 2 (/.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 2))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 2 (.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 4 (/.f64 (+.f64 1/4 (/.f64 1 x)) (.f64 x 4)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (+.f64 1/2 (.f64 (/.f64 1/2 x) 4)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (+.f64 1/2 (.f64 4 (/.f64 1/2 x))))
(.f64 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 4) 1/4)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 (+.f64 1/4 (/.f64 1 x)) 2))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (.f64 (/.f64 1/2 x) 4) (*.f64 1/2 (+.f64 1/4 (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (.f64 (+.f64 1/4 (/.f64 1 x)) 4) (/.f64 1/2 (+.f64 x x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)) -1)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 -1 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (neg.f64 (+.f64 1/4 (/.f64 1 x))) (/.f64 -1 x))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (+.f64 x x)) 2)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) 2) (.f64 (/.f64 1/2 x) 4))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (/.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 2) 2)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (/.f64 1/2 (+.f64 x x)) (.f64 (+.f64 1/4 (/.f64 1 x)) 4))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (.f64 x 4)) 4)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(*.f64 (/.f64 -1 x) (neg.f64 (+.f64 1/4 (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (.f64 1/2 (+.f64 1/4 (/.f64 1 x))) (*.f64 (/.f64 1/2 x) 4))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(.f64 (.f64 (/.f64 1/2 x) (+.f64 1/4 (/.f64 1 x))) 2)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(pow.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) 1)
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)
(neg.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) (neg.f64 x)))
(/.f64 (+.f64 (/.f64 1 x) 1/4) x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
✓	0.1b	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))
✓	0.2b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

series7.0ms (0.1%)

Counts

4 → 16

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
1.0ms	x	@	inf	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))
0.0ms	x	@	-inf	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
0.0ms	x	@	0	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-1`
1528×	`rational.json-2`
1528×	`rational.json-4`
1528×	`rational.json-3`
1518×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	92
1	96	92
2	240	80
3	689	80
4	2409	80
5	5642	80

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

Inputs
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1608×	`rational.json-simplify-44`
1572×	`rational.json-simplify-2`
1496×	`rational.json-simplify-47`
1002×	`rational.json-simplify-61`
962×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	5580
1	1109	5456
2	6138	5312

Stop Event

1×	node limit

Counts

204 → 272

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 4 x)
(+.f64 1 (*.f64 4 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 -1/4 x) (.f64 4 (/.f64 1 x))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/4 x) (*.f64 4 (/.f64 1 x)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 (/.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))) (/.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(*.f64 -1 (/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (*.f64 x 1/2) 1/2))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/4))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 (.f64 (/.f64 2 x) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))
(*.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -1 (/.f64 2 x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) x)
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))
(.f64 (.f64 (*.f64 x 1/2) 1/2) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 2)
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 x)) -1)
(.f64 (.f64 x 1/4) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)
(.f64 (/.f64 2 (.f64 (/.f64 2 x) 4)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 x 4))
(*.f64 (/.f64 -1 (/.f64 2 x)) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(neg.f64 (/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 x)))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 0)
(+.f64 0 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 0)
(-.f64 0 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))
(/.f64 2 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 2 x) 4)) (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 2 x) 4))))
(/.f64 1 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 1 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 (/.f64 2 x) 4)))
(/.f64 1 (+.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))))
(/.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x (.f64 (.f64 x 1/2) 1/2))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (*.f64 x 1/2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 (.f64 (.f64 x 1/2) 1/2) (.f64 (.f64 x 1/2) 1/2)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 (.f64 x 1/4) (.f64 x 1/4)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 (/.f64 2 (.f64 (/.f64 2 x) 4)) (/.f64 2 (.f64 (/.f64 2 x) 4))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 (neg.f64 (*.f64 x 1/2)) -1))
(/.f64 (/.f64 2 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4) -1))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 1)
(/.f64 -1 (/.f64 x (neg.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 4 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (+.f64 x x) (+.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x (.f64 (.f64 x 1/2) 1/2))) (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x (.f64 (.f64 x 1/2) 1/2)))))
(/.f64 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 2)
(/.f64 8 (*.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 2 x) 4)) 4)
(/.f64 (*.f64 2 (/.f64 2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (.f64 2 (/.f64 2 x)) (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1)))) x)
(/.f64 -2 (.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2)))
(/.f64 -2 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 -2 (+.f64 (/.f64 x (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))))) (/.f64 x (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1))))))))
(/.f64 (neg.f64 (/.f64 2 x)) (/.f64 -4 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (*.f64 x -1/2))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (neg.f64 (*.f64 x 1/2)))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (/.f64 -4 (*.f64 (/.f64 2 x) 4)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1/2)
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) (.f64 (*.f64 x 1/2) 1/2))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) (.f64 x 1/4))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) (/.f64 2 (.f64 (/.f64 2 x) 4)))
(/.f64 16 (.f64 2 (.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 (.f64 4 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))) 8)
(/.f64 (*.f64 (/.f64 2 x) 4) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 -4 (*.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 -4 (+.f64 (.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2)) (.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2))))
(/.f64 -4 (-.f64 0 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (.f64 2 (neg.f64 (/.f64 2 x))) (+.f64 (/.f64 -4 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (/.f64 -4 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (+.f64 x x))
(/.f64 (*.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (+.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (+.f64 (.f64 x -1/2) (*.f64 x -1/2)))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (+.f64 (/.f64 -4 (.f64 (/.f64 2 x) 4)) (/.f64 -4 (*.f64 (/.f64 2 x) 4))))
(/.f64 (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -1)
(/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (+.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 1/2 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))
(/.f64 (/.f64 1 x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(/.f64 -8 (+.f64 (.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))) (.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 -8 (-.f64 0 (*.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 x 4))
(/.f64 (.f64 (/.f64 2 x) (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))) -2)
(/.f64 (.f64 2 (.f64 4 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)))) 16)
(/.f64 (.f64 2 (.f64 (/.f64 2 x) 4)) (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))) (*.f64 2 (neg.f64 x)))
(/.f64 (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 x (.f64 (*.f64 x 1/2) 1/2)))
(/.f64 (/.f64 8 x) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (/.f64 -4 x) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (/.f64 4 x) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x) -1/2)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) 1/4)
(/.f64 (neg.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (+.f64 (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1))))) (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))))) (*.f64 2 (neg.f64 x)))
(/.f64 (+.f64 (/.f64 4 x) (/.f64 4 x)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)) -1)
(/.f64 (+.f64 (neg.f64 (.f64 2 (/.f64 2 x))) (neg.f64 (.f64 2 (/.f64 2 x)))) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (+.f64 (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (.f64 x (.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 8 x) (/.f64 8 x)) (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (+.f64 (/.f64 -4 x) (/.f64 -4 x)) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (neg.f64 (*.f64 (/.f64 2 x) 4)) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (neg.f64 (/.f64 4 x)) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x)))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1)))))) x)
(/.f64 (neg.f64 (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (-.f64 0 (.f64 x (.f64 (*.f64 x 1/2) 1/2))))
(/.f64 (neg.f64 (/.f64 8 x)) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (neg.f64 (/.f64 -4 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(pow.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 1)
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))
(neg.f64 (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(-.f64 (sqrt.f64 (-.f64 x -1)) -1)
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 0)
(-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(*.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))) 1/2)
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) 2)
(.f64 1/2 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(/.f64 -1 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4))
(/.f64 -1 (-.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 4 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 4 (-.f64 0 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 8 (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1)))) 2)
(/.f64 -2 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 -2 (+.f64 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4) (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4)))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) 1/2)
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) 1/2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(/.f64 16 (.f64 2 (.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 -4 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 4)
(/.f64 (*.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -2)
(/.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 -1/2 (-.f64 0 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 -8 (*.f64 2 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 -8 (-.f64 0 (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2)) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))) -4)
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) 2) -1/2)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 1/4)
(/.f64 (+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 (+.f64 (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (.f64 (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (*.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(/.f64 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) 2)) -1)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))) 16)
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(neg.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 (sqrt.f64 (-.f64 x -1)) 0)
(+.f64 0 (sqrt.f64 (-.f64 x -1)))
(-.f64 (sqrt.f64 (-.f64 x -1)) 0)
(*.f64 2 (/.f64 (sqrt.f64 (-.f64 x -1)) 2))
(*.f64 1 (sqrt.f64 (-.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x -1)) 1)
(.f64 (.f64 2 (sqrt.f64 (-.f64 x -1))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(/.f64 (sqrt.f64 (-.f64 x -1)) 1)
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 x -1))) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) 16)
(pow.f64 (sqrt.f64 (-.f64 x -1)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))))
(/.f64 4 x)
(+.f64 1 (*.f64 4 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 -1/4 x) (.f64 4 (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 x -1/4)))
(+.f64 (.f64 4 (/.f64 1 x)) (+.f64 (.f64 x -1/4) 1))
(+.f64 (.f64 4 (/.f64 1 x)) (+.f64 1 (.f64 x -1/4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/4 x) (*.f64 4 (/.f64 1 x)))))
(+.f64 1 (+.f64 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 x -1/4)) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (.f64 x -1/4) (+.f64 (+.f64 1 (.f64 4 (/.f64 1 x))) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (.f64 4 (/.f64 1 x)) (+.f64 (+.f64 1 (.f64 x -1/4)) (*.f64 (pow.f64 x 2) 1/8)))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 2 (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 1/2 x) (+.f64 2 (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 2 (.f64 1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) 1) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) 1) (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))) (/.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))
(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(+.f64 (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(+.f64 (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (*.f64 x 1/2) 1/2))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 1/2 (*.f64 1/2 x)))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/4))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/4))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 1/2 (*.f64 1/2 x)))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/4))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 (.f64 (/.f64 2 x) 4)))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 (.f64 4 (/.f64 2 x))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x 1) 4))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 4 (.f64 x (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -1 (/.f64 2 x)))
(*.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x -2))
(*.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x -2))
(.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 x -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (*.f64 x 1/2) 1/2) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 1/2 (*.f64 1/2 x)))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/4))
(.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 x)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 1/4) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 1/2 (*.f64 1/2 x)))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/4))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)
(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(+.f64 (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 2 (.f64 (/.f64 2 x) 4)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 (.f64 4 (/.f64 2 x))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x 1) 4))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 4))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 4 (.f64 x (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 (/.f64 2 x)) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x -2))
(*.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x -2))
(.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 x -1/2))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 0)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(+.f64 0 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 0)
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(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (neg.f64 (+.f64 x x)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1))))) (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))))) (*.f64 2 (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 1 x)))))) (*.f64 2 (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))))) (*.f64 x -2))
(/.f64 (/.f64 (neg.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (.f64 x -1/2)) 2)
(/.f64 (+.f64 (/.f64 4 x) (/.f64 4 x)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)) -1)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 (neg.f64 (.f64 2 (/.f64 2 x))) (neg.f64 (.f64 2 (/.f64 2 x)))) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (.f64 x (.f64 x 1/2)))
(/.f64 (/.f64 x (.f64 x (.f64 1/2 (*.f64 1/2 x)))) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (/.f64 (/.f64 x x) (*.f64 x 1/4))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 (/.f64 8 x) (/.f64 8 x)) (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 (/.f64 -4 x) (/.f64 -4 x)) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (*.f64 (/.f64 2 x) 4)) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 -1 x) (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (/.f64 4 x)) (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x)))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (neg.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1)))))) x)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (/.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (-.f64 0 (.f64 x (.f64 (*.f64 x 1/2) 1/2))))
(/.f64 (/.f64 x (.f64 x (.f64 1/2 (*.f64 1/2 x)))) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (/.f64 (/.f64 x x) (*.f64 x 1/4))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4))))
(/.f64 (neg.f64 (/.f64 8 x)) (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (/.f64 -4 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(pow.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 1)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(neg.f64 (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(-.f64 (sqrt.f64 (-.f64 x -1)) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 0)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) 2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/2 (+.f64 2 (.f64 2 (sqrt.f64 (-.f64 x -1)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1 (-.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 4 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 4 (-.f64 0 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 8 (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (-.f64 x -1)))) 2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -2 (/.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -2 (+.f64 (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4) (/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -4)))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2) 1/2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 16 (.f64 2 (.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -4 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 4)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1/2 (-.f64 0 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -8 (*.f64 2 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -8 (-.f64 0 (*.f64 2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2)) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) 8)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 2 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))) -4)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) 2) -1/2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 1/4)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) (.f64 (.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (*.f64 4 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) 2)) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))) 16)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (-.f64 x -1)) 0)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(+.f64 0 (sqrt.f64 (-.f64 x -1)))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(-.f64 (sqrt.f64 (-.f64 x -1)) 0)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 2 (/.f64 (sqrt.f64 (-.f64 x -1)) 2))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (-.f64 x -1)))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 2 (sqrt.f64 (-.f64 x -1))) 1/2)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 x -1))))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 x -1))) 2)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 4) 4)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) 8)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) 16)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 x 2) 1/16)
✓	0.0b	(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
✓	0.0b	(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)

Compiler

Compiled 46 to 36 computations (21.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)
0.0ms	x	@	0	(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 1/16)
0.0ms	x	@	0	(*.f64 (pow.f64 x 2) 1/16)
0.0ms	x	@	inf	(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)

rewrite239.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-1`
1452×	`rational.json-1`
1452×	`rational.json-2`
1452×	`rational.json-3`
1432×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	85	81
2	157	81
3	315	81
4	646	81
5	1644	81
6	3285	81
7	4862	81
8	6215	81
9	7309	81
10	7663	81
11	7871	81
12	7894	81

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(*.f64 (pow.f64 x 2) 1/16)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) (*.f64 1/2 x)) (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x 4) (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) (*.f64 (/.f64 x 4) (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) (+.f64 x x)) (*.f64 (/.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 x)) (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) (*.f64 (*.f64 1/2 (*.f64 1/2 x)) (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) (+.f64 x x)) (*.f64 (*.f64 1/2 (*.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (*.f64 1/2 x)) (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)) (*.f64 (*.f64 1/4 (*.f64 1/2 x)) (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (*.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) (*.f64 x 4)) (*.f64 (*.f64 1/4 (*.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 x)) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4))))) (*.f64 (*.f64 1/2 (*.f64 1/2 x)) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (/.f64 x 4)) (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)) (*.f64 (*.f64 1/2 (/.f64 x 4)) (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)) (*.f64 x 4)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 16 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/32) (*.f64 (pow.f64 x 2) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/16) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 2) 1/16) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 2) 1/16) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 2) 1/16) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 2) 1/16) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) 1/16) 1)))))

simplify396.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3060×	`rational.json-simplify-35`
2766×	`rational.json-simplify-2`
1362×	`rational.json-simplify-53`
1286×	`rational.json-simplify-1`
806×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2577
1	341	2505
2	855	2493
3	2094	2493
4	3958	2493
5	4931	2493
6	5404	2493
7	5659	2493
8	5698	2493
9	6560	2493
10	6655	2493
11	6697	2493
12	7390	2493
13	7556	2493
14	7722	2493
15	7888	2493

Stop Event

1×	node limit

Counts

93 → 86

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 0)
(+.f64 0 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))
(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) (.f64 1/2 x)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) (.f64 1/2 x)))
(+.f64 (.f64 (/.f64 x 4) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 (/.f64 x 4) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))))
(+.f64 (.f64 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4) (+.f64 x x)) (.f64 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4) (+.f64 x x)))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 x)) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 (.f64 1/2 (.f64 1/2 x)) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (+.f64 x x)) (.f64 (.f64 1/2 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (+.f64 x x)))
(+.f64 (.f64 (.f64 1/4 (.f64 1/2 x)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 (.f64 1/4 (.f64 1/2 x)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)))
(+.f64 (.f64 (.f64 1/4 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 x 4)) (.f64 (.f64 1/4 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 x 4)))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 x)) (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (.f64 x -1/4))))) (.f64 (.f64 1/2 (.f64 1/2 x)) (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (.f64 x -1/4))))))
(+.f64 (.f64 (.f64 1/2 (/.f64 x 4)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 (.f64 1/2 (/.f64 x 4)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)))
(+.f64 (.f64 (.f64 1/2 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 x 4)) (.f64 (.f64 1/2 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 x 4)))
(-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 0)
(/.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1)
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) (+.f64 x x)) 2)
(/.f64 (.f64 x (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) 4)
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) (.f64 x 8)) 8)
(/.f64 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) 16)
(/.f64 (.f64 2 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))))) 128)
(pow.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1)
(-.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 0)
(.f64 1/2 (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4)))))
(.f64 2 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))))
(.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 1)
(.f64 1 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))) 1/2)
(.f64 4 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4))
(.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))) 2)
(.f64 1/4 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4))
(.f64 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 4)
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4)))) 1/2)
(/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 1)
(/.f64 (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 2)
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 4)
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8))))) 128)
(pow.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 1)
(+.f64 (*.f64 (pow.f64 x 2) 1/16) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/16))
(+.f64 (.f64 (pow.f64 x 2) 1/32) (.f64 (pow.f64 x 2) 1/32))
(-.f64 (*.f64 (pow.f64 x 2) 1/16) 0)
(/.f64 (*.f64 (pow.f64 x 2) 1/16) 1)
(/.f64 (*.f64 (pow.f64 x 2) 1/8) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/4) 4)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 1/16) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 2) 1/16) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 2) 1/16) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 2) 1/16) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 2) 1/16) 8))))) 128)
(pow.f64 (*.f64 (pow.f64 x 2) 1/16) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 x -1/8))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2)))
(+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (.f64 x -1/8) (pow.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2)))
(+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (.f64 x -1/8) (pow.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(+.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 0)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 0 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) (.f64 1/2 x)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) (.f64 1/2 x)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (/.f64 x 4) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 (/.f64 x 4) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4) (+.f64 x x)) (.f64 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4) (+.f64 x x)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 x)) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 (.f64 1/2 (.f64 1/2 x)) (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (+.f64 x x)) (.f64 (.f64 1/2 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (+.f64 x x)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (.f64 1/4 (.f64 1/2 x)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 (.f64 1/4 (.f64 1/2 x)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (.f64 1/4 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 x 4)) (.f64 (.f64 1/4 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) (.f64 x 4)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 x)) (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (.f64 x -1/4))))) (.f64 (.f64 1/2 (.f64 1/2 x)) (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (.f64 x -1/4))))))
(+.f64 (.f64 (.f64 1/2 (.f64 1/2 x)) (+.f64 1/2 (+.f64 (+.f64 1/2 (.f64 x -1/4)) (.f64 (pow.f64 x 2) 1/8)))) (.f64 (.f64 1/2 (.f64 1/2 x)) (+.f64 1/2 (+.f64 (+.f64 1/2 (.f64 x -1/4)) (.f64 (pow.f64 x 2) 1/8)))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (.f64 x -1/4) 1)) (+.f64 (.f64 x 1/4) (*.f64 x 1/4)))
(.f64 (.f64 1/2 x) (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (.f64 x -1/4) 1)))
(.f64 1/2 (.f64 x (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (.f64 x -1/4) 1))))
(+.f64 (.f64 (.f64 1/2 (/.f64 x 4)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 (.f64 1/2 (/.f64 x 4)) (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(+.f64 (.f64 (.f64 1/2 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 x 4)) (.f64 (.f64 1/2 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) (.f64 x 4)))
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(-.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 0)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) (+.f64 x x)) 2)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 x (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4)) 4)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) (.f64 x 8)) 8)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))) 16)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 2 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))) 32)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))))))) 64)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))))))) 128)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(pow.f64 (.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 1)
(.f64 x (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 x (+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (*.f64 x 1/4) 2)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 0)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 1/2 (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4)))))
(.f64 1/2 (+.f64 1/2 (+.f64 (+.f64 1/2 (.f64 x -1/4)) (*.f64 (pow.f64 x 2) 1/8))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (*.f64 x -1/4) 1)))
(.f64 2 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 1)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 1 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))) 1/2)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 4 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4) 1/4)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 (.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))) 2)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 1/4 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 4))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 (/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 4)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (+.f64 1/2 (*.f64 x -1/4)))) 1/2)
(.f64 1/2 (+.f64 1/2 (+.f64 (+.f64 1/2 (.f64 x -1/4)) (*.f64 (pow.f64 x 2) 1/8))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (*.f64 x -1/4) 1)))
(/.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 1)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 2 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16)))) 2)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 4) 4)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8) 8)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 8)) 16)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8))) 32)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 8)))) 64)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (*.f64 (pow.f64 x 2) 1/16))) 8))))) 128)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(pow.f64 (+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16))) 1)
(+.f64 1/2 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (pow.f64 (.f64 x 1/4) 2))
(+.f64 (*.f64 (pow.f64 x 2) 1/16) 0)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/16))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(+.f64 (.f64 (pow.f64 x 2) 1/32) (.f64 (pow.f64 x 2) 1/32))
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(-.f64 (*.f64 (pow.f64 x 2) 1/16) 0)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/16) 1)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/8) 2)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/4) 4)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 1/16) 8) 8)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 2) 1/16) 8)) 16)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 2) 1/16) 8))) 32)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 2) 1/16) 8)))) 64)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 2) 1/16) 8))))) 128)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/16) 1)
(*.f64 (pow.f64 x 2) 1/16)
(pow.f64 (*.f64 x 1/4) 2)

eval541.0ms (4.5%)

Compiler: Compiled 21250 to 16573 computations (22% saved)

prune555.0ms (4.6%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1143	12	1155
Fresh	6	7	13
Picked	0	1	1
Done	5	4	9
Total	1154	24	1178

Error

0.0b

Counts

1178 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	(/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))
	0.3b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
	30.4b	(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x))
	43.1b	(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) x))
▶	42.5b	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
▶	0.3b	(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
	21.8b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
	21.8b	(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	21.0b	(/.f64 x 2)
	0.4b	(/.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
	21.2b	(/.f64 2 (+.f64 (.f64 4 (/.f64 1 x)) (+.f64 (.f64 x -1/4) 1)))
	20.4b	(/.f64 2 (.f64 (+.f64 (.f64 1/2 x) 2) (/.f64 2 x)))
✓	0.3b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
▶	20.4b	(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
▶	0.3b	(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x))) x)
▶	0.2b	(*.f64 (/.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) x)
	9.4b	(.f64 (/.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
	43.8b	(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (+.f64 x x))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	30.4b	(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
✓	21.2b	(.f64 (+.f64 (+.f64 1/2 (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/16)) x)
	60.9b	2

Compiler

Compiled 653 to 505 computations (22.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 39 computations (26.4% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational.json-simplify-50`
1192×	`exponential.json-3`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	99
1	103	87
2	300	87
3	1049	69
4	3909	69

Stop Event

1×	node limit

Counts

3 → 261

Calls

Call 1

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

Outputs

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

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-35`
1026×	`rational.json-simplify-44`
926×	`rational.json-simplify-47`
818×	`rational.json-simplify-51`
606×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	7721
1	1742	7443
2	6466	7407

Stop Event

1×	node limit

Counts

273 → 354

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 0 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 -1 (/.f64 (/.f64 1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(*.f64 -1 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)))
(*.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 1 x) 2) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(.f64 (.f64 (/.f64 1 x) 2) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (.f64 2 (/.f64 x x))))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4)))
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1/2 x))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 -1 x))
(.f64 (neg.f64 x) (/.f64 1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 x x)))
(.f64 (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x)
(*.f64 (/.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 x)))
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 2 (/.f64 x x)) (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 x x))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2)
(.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 2 (/.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (*.f64 (/.f64 1 x) 2))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) 2)
(.f64 (/.f64 x (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4)) (*.f64 (/.f64 1 x) 4))
(.f64 (/.f64 1 (.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))) (.f64 x 4))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)) -1)
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)) -1)
(.f64 (/.f64 1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 x x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 1 (.f64 2 (/.f64 x x))) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(-.f64 0 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (neg.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (neg.f64 x))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (-.f64 0 (/.f64 1 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x))
(/.f64 (/.f64 1 x) (-.f64 0 (*.f64 (/.f64 1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 2 (-.f64 0 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 2 (-.f64 0 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 (+.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (.f64 (/.f64 1 x) 2) (.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x)))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x x))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (-.f64 0 (*.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 x) 2))
(/.f64 (.f64 (/.f64 1 x) 4) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 1 x) 4)))
(/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (/.f64 x x)))
(/.f64 4 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4))
(/.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (*.f64 x 4) (/.f64 4 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x)))
(/.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)
(/.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (.f64 x x)))
(/.f64 8 (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 4))
(/.f64 (.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 x) 4))
(/.f64 (.f64 2 (.f64 (/.f64 1 x) 4)) (.f64 (/.f64 1 x) (.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 4)))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) (.f64 x (*.f64 (/.f64 1 x) 4)))
(/.f64 (-.f64 (neg.f64 x) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (-.f64 (neg.f64 x) x) (*.f64 2 (/.f64 1 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 -2 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (.f64 (+.f64 x x) 4) (.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (.f64 (+.f64 x x) 4) (.f64 2 (/.f64 4 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (.f64 x (+.f64 x x)) (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 (/.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 (/.f64 x 1/2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (+.f64 x x))
(/.f64 (neg.f64 (/.f64 x x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (neg.f64 x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) x)
(/.f64 (.f64 2 (/.f64 x x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (.f64 x (.f64 (/.f64 1 x) 4)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4))
(/.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 1/2)
(/.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 x))
(/.f64 (.f64 (/.f64 1 x) -2) (.f64 (/.f64 1 x) (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (.f64 (/.f64 1 x) -2) (-.f64 0 (.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x))))
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(/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -2) (neg.f64 (.f64 2 (/.f64 x x))))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 1 x)))
(/.f64 -4 (.f64 2 (.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 -4 (.f64 2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 -4 (neg.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4)))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4)) 8)
(/.f64 (.f64 x (.f64 x 4)) (.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (.f64 (/.f64 1 x) (.f64 (+.f64 x x) 4)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 4))
(/.f64 (.f64 2 (/.f64 x 1/2)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (.f64 2 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (.f64 x 4))
(/.f64 (.f64 2 (neg.f64 (/.f64 x x))) (.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (*.f64 2 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))) (-.f64 (neg.f64 x) x))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (.f64 (/.f64 1 x) -2))
(/.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 1 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/2)
(/.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 x x))
(/.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 2 (/.f64 x x)) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (/.f64 x 2))
(/.f64 (/.f64 (/.f64 x x) (/.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) 1/2)
(/.f64 (/.f64 (/.f64 x 1/2) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (/.f64 (/.f64 x 1/2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 x x))
(/.f64 (/.f64 (/.f64 x 1/2) (+.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (/.f64 (/.f64 x 1/2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) x)
(/.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x 1/2))
(/.f64 (/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 x x)) 1/2)
(/.f64 (/.f64 (.f64 x (.f64 (/.f64 1 x) 4)) 2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) x) 2)
(/.f64 (/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2) x)
(/.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)) -1)
(/.f64 (neg.f64 (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (-.f64 0 (/.f64 1 (.f64 x x))))
(/.f64 (neg.f64 (.f64 x x)) (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (/.f64 1 x) -2))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (*.f64 x 4)) (-.f64 0 (/.f64 4 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (neg.f64 (.f64 (/.f64 1 x) 4)) (-.f64 0 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 1 x) 4))))
(/.f64 (neg.f64 (.f64 2 (/.f64 x x))) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 x 1/2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (neg.f64 (.f64 x (+.f64 x x))) (neg.f64 (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))
(/.f64 (neg.f64 (.f64 x (.f64 (/.f64 1 x) 4))) (neg.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4)))
(/.f64 (neg.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 x))
(/.f64 (neg.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1/2 x)))
(/.f64 -8 (-.f64 0 (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 (.f64 (/.f64 1 x) 4)))
(/.f64 (neg.f64 (.f64 (+.f64 x x) 4)) (-.f64 0 (.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (*.f64 (/.f64 1 x) 2))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) (neg.f64 (*.f64 (/.f64 1 x) -2)))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(/.f64 (neg.f64 (.f64 x (.f64 x 4))) (neg.f64 (.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (.f64 (/.f64 1 x) (.f64 (+.f64 x x) 4))) (-.f64 0 (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 x 1/2))) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (.f64 2 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 x x)))) (-.f64 0 (.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))) (-.f64 0 (-.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (neg.f64 (.f64 (/.f64 1 x) -2)))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 x x))) (-.f64 0 (/.f64 1 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (-.f64 0 (/.f64 1/2 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (/.f64 x x)) 2)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)) (-.f64 0 (/.f64 2 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (-.f64 0 (/.f64 x 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 x x) (/.f64 1 x))) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (/.f64 (/.f64 x 1/2) x)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 (/.f64 x 1/2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 x 1/2) (+.f64 x x))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (/.f64 (/.f64 x 1/2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 x 1/2)))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 (/.f64 1 x) 4)) 2)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 x x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 x x)))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x 1/2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 (neg.f64 (neg.f64 (/.f64 x 1/2))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (+.f64 x x)))) (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 (/.f64 1 x) 4)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (neg.f64 (neg.f64 (+.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 x x)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (neg.f64 (/.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(neg.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(-.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 x (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 x x))
(*.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (/.f64 1/2 x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (/.f64 1 x) 2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 1/2)
(.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (*.f64 x x)))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4) 1/4)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x) -1)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x))
(*.f64 (/.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (*.f64 (/.f64 1 x) 2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)) 2)
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x x)) 2)
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(neg.f64 (/.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))

Outputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 -5/128 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 3))) (*.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 -5/128 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 2)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 2 (/.f64 1 x))) (*.f64 -1/8 x)))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 2 (/.f64 1 x))) (+.f64 1/2 (*.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
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(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 0 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (/.f64 x 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 (/.f64 1 x) 4)) 2)) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (neg.f64 (.f64 (.f64 4 (/.f64 1 x)) (/.f64 x 2))) (neg.f64 (*.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (.f64 x (.f64 4 (/.f64 1 x))) -2) (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (/.f64 x 2) (.f64 -2 (/.f64 2 x))) (*.f64 (/.f64 2 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 x x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 x x)))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x 1/2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x 1/2))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (+.f64 x x)))) (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 (/.f64 1 x) 4)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4))
(/.f64 (.f64 x (.f64 4 (/.f64 1 x))) (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (.f64 x (.f64 4 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 4)
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (neg.f64 (neg.f64 (+.f64 x x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 x x)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (neg.f64 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 x x)))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(-.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 x (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x))
(.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 x x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 x x)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x x)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(*.f64 2 (/.f64 1/2 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (/.f64 1/2 x))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 x x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 x) 2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) 1/2)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (*.f64 x x)))
(.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4) 1/4)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 4 (/.f64 1 (*.f64 x 4))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 4 (/.f64 1/4 x)))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(*.f64 (/.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x) x)
(.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (*.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)) 2)
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 x x)))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x x)) 2)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(*.f64 2 (/.f64 1/2 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 4))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 4 (/.f64 1 (*.f64 x 4))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 4 (/.f64 1/4 x)))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(neg.f64 (/.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))

Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
0.0ms	x	@	inf	(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
0.0ms	x	@	-inf	(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-4`
1388×	`rational.json-3`
1366×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	73	19
2	176	19
3	388	19
4	823	19
5	2449	19
6	5811	19

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))

Outputs

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-49`
1220×	`rational.json-simplify-54`
1018×	`rational.json-simplify-1`
1010×	`rational.json-simplify-35`
890×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1246
1	167	1246
2	306	1246
3	615	1246
4	1797	1246
5	6762	1246

Stop Event

1×	node limit

Counts

40 → 56

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 0)
(+.f64 0 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)))
(+.f64 -1 (-.f64 1 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4))))
(+.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)))
(-.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 0)
(-.f64 0 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4)))
(*.f64 1/2 (/.f64 1 (+.f64 (/.f64 1 x) 1/4)))
(*.f64 1 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)))
(.f64 1/4 (.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 4))
(*.f64 (+.f64 (/.f64 1 x) 1/4) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) (+.f64 (/.f64 1 x) 1/4)))
(*.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 1)
(.f64 (+.f64 1/2 (/.f64 2 x)) (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(*.f64 2 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)))
(.f64 2 (.f64 (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (+.f64 (/.f64 1 x) 1/4)))
(.f64 (.f64 (+.f64 (/.f64 1 x) 1/4) 4) (/.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) 1/4)) 1/2)
(*.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) 2))
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 (+.f64 (/.f64 1 x) 1/4) 8))))
(.f64 (.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 4) 1/4)
(*.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) (+.f64 (/.f64 1 x) 1/4)) (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) 2) 4)
(.f64 (/.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 (+.f64 (/.f64 1 x) 1/4) 8))) 4)
(*.f64 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4)) -1)
(.f64 (/.f64 1/2 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (*.f64 (+.f64 (/.f64 1 x) 1/4) 4))
(pow.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 1)
(neg.f64 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (.f64 1/32 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1/128 (pow.f64 x 4))) (.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 8 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(+.f64 (-.f64 2 (.f64 8 (/.f64 1 x))) (.f64 32 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 8 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(+.f64 (-.f64 2 (.f64 8 (/.f64 1 x))) (.f64 32 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 0)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(+.f64 0 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(+.f64 -1 (-.f64 1 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(+.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)))
(-.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 0)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(-.f64 0 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 1/2 (/.f64 1 (+.f64 (/.f64 1 x) 1/4)))
(*.f64 1 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 1/4 (.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 4))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (+.f64 (/.f64 1 x) 1/4) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) (+.f64 (/.f64 1 x) 1/4)))
(.f64 (+.f64 (/.f64 1 x) 1/4) (/.f64 1/2 (.f64 (+.f64 (/.f64 1 x) 1/4) (+.f64 (/.f64 1 x) 1/4))))
(*.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (+.f64 1/2 (/.f64 2 x)) (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(*.f64 2 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)))
(.f64 2 (.f64 (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (+.f64 (/.f64 1 x) 1/4)))
(.f64 2 (.f64 (+.f64 (/.f64 1 x) 1/4) (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (*.f64 2 (+.f64 (/.f64 1 x) 1/4)))
(.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 2 (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (.f64 (+.f64 (/.f64 1 x) 1/4) 4) (/.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 4 (/.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (.f64 4 (+.f64 (/.f64 1 x) 1/4)) (/.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (*.f64 4 (+.f64 (/.f64 1 x) 1/4)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) 1/4)) 1/2)
(*.f64 1/2 (/.f64 1 (+.f64 (/.f64 1 x) 1/4)))
(*.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) 2))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 (+.f64 (/.f64 1 x) 1/4) 8))))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 4) 1/4)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) 2)
(*.f64 2 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)))
(.f64 (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (+.f64 1/2 (/.f64 2 x)))
(.f64 (+.f64 1/2 (/.f64 2 x)) (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) (+.f64 (/.f64 1 x) 1/4)) (+.f64 (/.f64 1 x) 1/4))
(.f64 (+.f64 (/.f64 1 x) 1/4) (/.f64 1/2 (.f64 (+.f64 (/.f64 1 x) 1/4) (+.f64 (/.f64 1 x) 1/4))))
(*.f64 (/.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/4)) 2) 4)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 (+.f64 (/.f64 1 x) 1/4) 8))) 4)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(*.f64 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4)) -1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (*.f64 (+.f64 (/.f64 1 x) 1/4) 4))
(.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 4 (/.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (.f64 4 (+.f64 (/.f64 1 x) 1/4)) (/.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (/.f64 2 x)))) (*.f64 4 (+.f64 (/.f64 1 x) 1/4)))
(pow.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) 1/4)) 1)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(neg.f64 (/.f64 -1/2 (+.f64 (/.f64 1 x) 1/4)))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))
✓	0.1b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)
✓	21.5b	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
0.0ms	x	@	0	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
0.0ms	x	@	-inf	(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
0.0ms	x	@	inf	(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)
0.0ms	x	@	0	(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`rational.json-simplify-35`
1168×	`rational.json-simplify-50`
1164×	`exponential.json-3`
1164×	`rational.json-1`
1164×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	99
1	117	99
2	336	99
3	1250	87
4	4100	87

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)
(+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))

Outputs

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

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1602×	`rational.json-simplify-44`
1496×	`rational.json-simplify-47`
906×	`rational.json-simplify-51`
898×	`rational.json-simplify-35`
782×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	8980
1	1172	8896
2	6543	8566

Stop Event

1×	node limit

Counts

276 → 315

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
-1/16
(-.f64 (*.f64 1/4 (/.f64 1 x)) 1/16)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
-1/16
(-.f64 (*.f64 1/4 (/.f64 1 x)) 1/16)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(/.f64 1 x)
(+.f64 1/4 (/.f64 1 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(*.f64 -1/16 x)
(+.f64 1/4 (*.f64 -1/16 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(*.f64 -1/16 x)
(+.f64 1/4 (*.f64 -1/16 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 0 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) 0)
(+.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(-.f64 0 (/.f64 -1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(-.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) 0)
(.f64 1/2 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 x (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (/.f64 1/2 x) (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 1 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (/.f64 1 x) (/.f64 (/.f64 x 2) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (+.f64 x x))))
(.f64 (+.f64 x x) (/.f64 (/.f64 1 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(.f64 (+.f64 x x) (/.f64 2 (.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)) (.f64 x (.f64 x 4)))))
(.f64 2 (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 2 (/.f64 (/.f64 1/2 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 (/.f64 x 2) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(.f64 (/.f64 (/.f64 x 2) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1 x))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)) (.f64 x (*.f64 x 4)))))
(.f64 (.f64 x 4) (.f64 (/.f64 1/2 x) (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x))))
(.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x)))
(.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) -2) (/.f64 -1 x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (+.f64 x x))))
(.f64 -1 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x))))
(.f64 -1 (/.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) -2) x))
(.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1/2 x))
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) 1)
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 x x))
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1 (/.f64 x x)))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) x)
(.f64 (/.f64 x x) (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (.f64 x (/.f64 2 x)) (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 (/.f64 -1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) -1)
(.f64 (.f64 x (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) 2)
(.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (*.f64 x (/.f64 2 x)))
(.f64 (/.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (+.f64 x x))) (+.f64 x x))
(.f64 (/.f64 (/.f64 1 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4)) (+.f64 x x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) 1/2)
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (*.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 x (+.f64 x x)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1 (*.f64 x (/.f64 2 x))))
(.f64 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x)) (neg.f64 (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))) (+.f64 x x))
(.f64 (/.f64 x (+.f64 x x)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (/.f64 (/.f64 1/2 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x))) 2)
(.f64 (/.f64 x (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) 2)
(.f64 (/.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (*.f64 x 4))
(.f64 (/.f64 1 (.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)) (.f64 x (.f64 x 4)))) (*.f64 x 4))
(.f64 (/.f64 2 (.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)) (.f64 x (.f64 x 4)))) (+.f64 x x))
(.f64 (/.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x))) (.f64 (/.f64 1/2 x) 4))
(.f64 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x))) -1)
(.f64 (/.f64 -1 x) (/.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) -2))
(.f64 (/.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) -2) x) -1)
(.f64 (/.f64 -1 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (+.f64 x x))) (neg.f64 x))
(.f64 (/.f64 1 (/.f64 x x)) (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (/.f64 1 (.f64 x (/.f64 2 x))) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 (/.f64 x 2) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))) 2)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/4 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (.f64 x 4))
(pow.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) 1)
(neg.f64 (/.f64 -1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(+.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) 0)
(+.f64 0 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
(-.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) 0)
(-.f64 0 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (neg.f64 x)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 2))
(.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x))
(.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))
(.f64 1/4 (.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) 4))
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 1)
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x)) 1/2)
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 2) (/.f64 1/2 x))
(.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (+.f64 x x)))
(.f64 2 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 2))
(.f64 2 (.f64 (/.f64 1/2 x) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) 4) 1/4)
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (*.f64 x 4)))
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 2))
(.f64 (.f64 (/.f64 1/2 x) 4) (.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x)) -1)
(.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 -1 x))
(.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4) (/.f64 1/2 (+.f64 x x)))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (+.f64 x x)) 2)
(.f64 (/.f64 -1 x) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) (*.f64 (/.f64 1/2 x) 4))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 2) 2)
(.f64 (/.f64 1/2 (+.f64 x x)) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (*.f64 x 4)) 4)
(.f64 (.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (.f64 (/.f64 1/2 x) 4))
(.f64 (.f64 (/.f64 1/2 x) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) 2)
(pow.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) 1)
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 0)
(-.f64 0 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 2))
(.f64 x (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (+.f64 x x)))
(.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))
(.f64 (/.f64 1 x) (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 1/4 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4))
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 x x))
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 1 (/.f64 x x)))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) x)
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)) (.f64 1/2 x))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x)) (/.f64 1/2 (/.f64 1 x)))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x)) (/.f64 x 2))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)))
(.f64 (+.f64 x x) (/.f64 1 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))
(.f64 (+.f64 x x) (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 2))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 2) 1/2)
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) (.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) (/.f64 1 (.f64 x (/.f64 2 x))))
(.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2))
(.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (*.f64 x (/.f64 2 x))))
(.f64 2 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) (*.f64 (/.f64 1/2 x) 4)))
(.f64 2 (/.f64 x (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (+.f64 x x)) (/.f64 1/2 x))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (.f64 (/.f64 1 x) (.f64 x 4))))
(.f64 (.f64 (/.f64 1/2 x) 4) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (.f64 (/.f64 1/2 x) 4)))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x)) (/.f64 -1 (/.f64 1 x)))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x))))
(.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) -1)
(.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1 (*.f64 (/.f64 1 x) (neg.f64 x))))
(.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (*.f64 (/.f64 1 x) (neg.f64 x))))
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4) 1/4)
(.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4) (/.f64 1 (.f64 (/.f64 1 x) (*.f64 x 4))))
(.f64 (/.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))
(.f64 (.f64 x (/.f64 2 x)) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 2))
(.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) (/.f64 1 x))
(.f64 (.f64 1/2 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)))
(.f64 (.f64 x (/.f64 1/2 x)) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2))
(.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)) (+.f64 x x))
(.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x)))
(.f64 (/.f64 1/2 (/.f64 1 x)) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x)))
(.f64 (/.f64 x 2) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 2 x)))
(.f64 (/.f64 1 (/.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))
(.f64 (/.f64 1 (.f64 x (/.f64 2 x))) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2))
(.f64 (/.f64 1 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (+.f64 x x))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) 2)
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) (*.f64 x (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4) 4)
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (*.f64 x (/.f64 2 x))) 2)
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (.f64 (/.f64 1/2 x) 4)) (.f64 (/.f64 1/2 x) 4))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) (*.f64 (/.f64 1/2 x) 4)) 2)
(.f64 (/.f64 x (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (.f64 x 4))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 2) (+.f64 x x))
(.f64 (/.f64 1 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x))) (neg.f64 x))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (neg.f64 x))) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (*.f64 (/.f64 1 x) (neg.f64 x))) -1)
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (.f64 x 4))) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (.f64 (/.f64 1 x) (.f64 x 4))) 4)
(/.f64 x (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(/.f64 x (neg.f64 (neg.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))))
(/.f64 x (-.f64 0 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 1)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (/.f64 x x))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (-.f64 0 (.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) (/.f64 1 x))
(/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)) (*.f64 (/.f64 1/2 x) 4))
(/.f64 (+.f64 x x) (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 2) (*.f64 x (/.f64 2 x)))
(/.f64 2 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (+.f64 x x)) (+.f64 x x))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (+.f64 x x)) (-.f64 0 (*.f64 2 (neg.f64 x))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (+.f64 x x)) (-.f64 0 (neg.f64 (+.f64 x x))))
(/.f64 (.f64 x 4) (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(/.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)) (.f64 x 4))
(/.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 4) (*.f64 (/.f64 1 x) 4))
(/.f64 4 (.f64 2 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))
(/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (neg.f64 x)) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 (neg.f64 x) (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) -1)
(/.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))) (neg.f64 (/.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4) 4)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4) (.f64 (/.f64 1 x) (.f64 x 4)))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) -2)
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (.f64 2 (.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (neg.f64 (*.f64 x (/.f64 2 x))))
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))))
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))))
(/.f64 8 (+.f64 (.f64 2 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (.f64 2 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))))
(/.f64 -2 (neg.f64 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 4)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)) (.f64 2 (.f64 (/.f64 1 x) (.f64 x 4))))
(/.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x))) (*.f64 2 (neg.f64 (/.f64 1 x))))
(/.f64 (.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)) (.f64 2 (*.f64 x 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 4)) (.f64 2 (*.f64 (/.f64 1 x) 4)))
(/.f64 (/.f64 x x) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(/.f64 (.f64 x (/.f64 2 x)) (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) x)
(/.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 (/.f64 1/2 x))) (.f64 2 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) (neg.f64 (/.f64 1/2 x))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x))) (neg.f64 (*.f64 (/.f64 1/2 x) 4)))
(/.f64 (.f64 2 (.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (.f64 2 (.f64 2 (*.f64 x 4))))
(/.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 (/.f64 1/2 x)))) (.f64 2 (.f64 2 (neg.f64 x))))
(/.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 (/.f64 1/2 x)))) (*.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (.f64 2 (.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (neg.f64 x)))) (+.f64 (.f64 2 (neg.f64 (/.f64 1 x))) (*.f64 2 (neg.f64 (/.f64 1 x)))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 x))) (+.f64 (.f64 2 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x))) (.f64 2 (/.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x)))))
(/.f64 (.f64 2 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)))) (+.f64 (neg.f64 (.f64 (/.f64 1/2 x) 4)) (neg.f64 (*.f64 (/.f64 1/2 x) 4))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))) (+.f64 (.f64 2 (.f64 (/.f64 1 x) (neg.f64 x))) (.f64 2 (*.f64 (/.f64 1 x) (neg.f64 x)))))
(/.f64 (.f64 2 (.f64 2 (.f64 x 4))) (+.f64 (.f64 2 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))) (.f64 2 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (+.f64 (.f64 2 (.f64 (/.f64 1 x) (.f64 x 4))) (.f64 2 (.f64 (/.f64 1 x) (.f64 x 4)))))
(/.f64 (/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (+.f64 x x)) 1/2)
(/.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 4)) (-.f64 0 (*.f64 (/.f64 1 x) 4)))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 (neg.f64 (/.f64 x x)) (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)) (-.f64 0 (.f64 (/.f64 1 x) (.f64 x 4))))
(/.f64 (neg.f64 (.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (-.f64 0 (.f64 2 (*.f64 x 4))))
(/.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))) x)
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)))) (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))))
(/.f64 (+.f64 (/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (+.f64 x x)) (/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (+.f64 x x))) 1)
(/.f64 (+.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))) (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)))) (*.f64 (/.f64 1/2 x) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)))) (.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))) (neg.f64 x))
(pow.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 1)
(neg.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -3/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -3/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 2)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
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(/.f64 (/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (+.f64 x x)) 1/2)
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (neg.f64 (.f64 x 4)))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) x) 4)) (-.f64 0 (*.f64 (/.f64 1 x) 4)))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (/.f64 (.f64 x 4) (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (/.f64 x x)) (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))))))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)) (-.f64 0 (.f64 (/.f64 1 x) (.f64 x 4))))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (-.f64 0 (.f64 2 (*.f64 x 4))))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))) x)
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4))) (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)))) (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (+.f64 (/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (+.f64 x x)) (/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (+.f64 x x))) 1)
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (+.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))))) (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))) (+.f64 x x))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) (/.f64 2 x)))) (*.f64 (/.f64 1/2 x) 4))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))) 4)))) (.f64 x 4))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(/.f64 (neg.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))))) (neg.f64 x))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(pow.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) 1)
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))
(neg.f64 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))))
(+.f64 (*.f64 x -1/16) (+.f64 (/.f64 1 x) 1/4))
(+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.0b	(-.f64 -1 (sqrt.f64 (+.f64 1 x)))
✓	0.2b	(/.f64 -1 (/.f64 1 x))
✓	0.2b	(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`rational.json-simplify-35`
954×	`exponential.json-3`
954×	`rational.json-1`
954×	`rational.json-2`
954×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	105	49
2	310	45
3	951	45
4	3283	45

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-53`
1046×	`rational.json-simplify-44`
984×	`rational.json-simplify-47`
960×	`rational.json-simplify-49`
952×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	206	3017
1	402	2117
2	1216	2117
3	6093	2117

Stop Event

1×	node limit

Counts

127 → 137

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
-2
(-.f64 (*.f64 -1/2 x) 2)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)) 2)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3)))) 2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -1)
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(.f64 x (/.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(.f64 2 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(.f64 2 (.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1/2))
(.f64 -2 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2)))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 x -2) (*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) x)
(.f64 (.f64 x x) (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 x 1/2))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (/.f64 -2 x)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -4)))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1/2)
(.f64 (.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -1/2)
(.f64 1/2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 x -2))
(.f64 -1/2 (.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x))
(.f64 (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (*.f64 x -2))
(*.f64 (/.f64 -1 (/.f64 -2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)) 2)
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2)) -2)
(.f64 (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 x x))
(.f64 (/.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x)
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)) (*.f64 x -4))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -4)) (*.f64 x 4))
(*.f64 (+.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 x))
(+.f64 (neg.f64 x) 0)
(+.f64 0 (neg.f64 x))
(+.f64 (-.f64 1 x) -1)
(-.f64 (neg.f64 x) 0)
(-.f64 0 x)
(-.f64 (-.f64 1 x) 1)
(*.f64 -1 x)
(*.f64 1 (neg.f64 x))
(*.f64 x -1)
(*.f64 x (/.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) 1)
(*.f64 2 (/.f64 x -2))
(*.f64 (+.f64 x x) -1/2)
(*.f64 -2 (/.f64 x 2))
(.f64 (.f64 x -2) 1/2)
(.f64 (.f64 x x) (/.f64 -1 x))
(.f64 (.f64 x -4) 1/4)
(.f64 (.f64 x 4) -1/4)
(.f64 (/.f64 -1 x) (.f64 x x))
(.f64 1/2 (.f64 x -2))
(*.f64 -1/2 (+.f64 x x))
(.f64 1/4 (.f64 x -4))
(*.f64 (/.f64 x -2) 2)
(.f64 -1/4 (.f64 x 4))
(*.f64 (/.f64 x 2) -2)
(*.f64 (/.f64 x (neg.f64 x)) x)
(pow.f64 (neg.f64 x) 1)
(neg.f64 x)
(+.f64 -1 (-.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1)))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) -1)
(*.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) 1/2)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) 2)
(.f64 1/4 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 2 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) 2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 -4 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4) 4)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2) -2)
(/.f64 4 (*.f64 2 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)) 8)
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -4) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))) 16)
(pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)
(neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
-2
(-.f64 (*.f64 -1/2 x) 2)
(-.f64 (*.f64 x -1/2) 2)
(-.f64 -2 (/.f64 x 2))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)) 2)
(+.f64 (.f64 x -1/2) (-.f64 (.f64 (pow.f64 x 2) 1/8) 2))
(+.f64 (-.f64 (.f64 x -1/2) 2) (.f64 (pow.f64 x 2) 1/8))
(+.f64 (-.f64 -2 (/.f64 x 2)) (*.f64 (pow.f64 x 2) 1/8))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3)))) 2)
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/16)) (-.f64 (*.f64 (pow.f64 x 2) 1/8) 2))
(+.f64 (.f64 (pow.f64 x 2) 1/8) (-.f64 (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) -1/16)) 2))
(+.f64 (-.f64 (.f64 x -1/2) 2) (+.f64 (.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 3) -1/16)))
(+.f64 (-.f64 -2 (/.f64 x 2)) (+.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (pow.f64 x 3) -1/16)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (/.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)))
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1/2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -2 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x -2) (*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) x)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x x) (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 x 1/2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -4)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -1/2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 1/2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 x -2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -1/2 (.f64 x (/.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1/2) (+.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (*.f64 x -2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (/.f64 -2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)) 2)
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2)) -2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)) (*.f64 x -4))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -4)) (*.f64 x 4))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 x))
(neg.f64 x)
(+.f64 (neg.f64 x) 0)
(neg.f64 x)
(+.f64 0 (neg.f64 x))
(neg.f64 x)
(+.f64 (-.f64 1 x) -1)
(neg.f64 x)
(-.f64 (neg.f64 x) 0)
(neg.f64 x)
(-.f64 0 x)
(neg.f64 x)
(-.f64 (-.f64 1 x) 1)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 1 (neg.f64 x))
(neg.f64 x)
(*.f64 x -1)
(neg.f64 x)
(*.f64 x (/.f64 x (neg.f64 x)))
(neg.f64 x)
(*.f64 (neg.f64 x) 1)
(neg.f64 x)
(*.f64 2 (/.f64 x -2))
(neg.f64 x)
(*.f64 (+.f64 x x) -1/2)
(*.f64 -1/2 (+.f64 x x))
(*.f64 -2 (/.f64 x 2))
(.f64 (.f64 x -2) 1/2)
(neg.f64 x)
(.f64 (.f64 x x) (/.f64 -1 x))
(neg.f64 x)
(.f64 (.f64 x -4) 1/4)
(neg.f64 x)
(.f64 (.f64 x 4) -1/4)
(neg.f64 x)
(.f64 (/.f64 -1 x) (.f64 x x))
(neg.f64 x)
(.f64 1/2 (.f64 x -2))
(neg.f64 x)
(*.f64 -1/2 (+.f64 x x))
(.f64 1/4 (.f64 x -4))
(neg.f64 x)
(*.f64 (/.f64 x -2) 2)
(neg.f64 x)
(.f64 -1/4 (.f64 x 4))
(neg.f64 x)
(*.f64 (/.f64 x 2) -2)
(*.f64 -2 (/.f64 x 2))
(*.f64 (/.f64 x (neg.f64 x)) x)
(neg.f64 x)
(pow.f64 (neg.f64 x) 1)
(neg.f64 x)
(neg.f64 x)
(+.f64 -1 (-.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1)))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (-.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) -1)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) 1/2)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4) 1/4)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) 2)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/4 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 2 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) 2)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -4 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4) 4)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2) -2)
(/.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))) -2)
(/.f64 4 (*.f64 2 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)) 8)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) -4) -4)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))) 16)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(-.f64 -1 (sqrt.f64 (+.f64 x 1)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x)))
✓	0.1b	(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x))) x)
✓	0.2b	(/.f64 1/2 (/.f64 1/2 x))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 63 to 48 computations (23.8% saved)

series2.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	x	@	inf	(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x))) x)
0.0ms	x	@	inf	(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x)))
0.0ms	x	@	-inf	(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x))) x)

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`exponential.json-3`
1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`
1432×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	122	76
2	371	70
3	1824	70
4	5190	70

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1/2 (/.f64 1/2 x))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x))) x)
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x)))

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

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-35`
1162×	`rational.json-simplify-50`
804×	`rational.json-simplify-44`
726×	`rational.json-simplify-47`
724×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	9245
1	1509	8841
2	5500	8721

Stop Event

1×	node limit

Counts

349 → 393

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 1/2 (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2))
(.f64 1/2 (/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) x))))
(.f64 (/.f64 1/2 x) (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)))
(.f64 (/.f64 1/2 x) (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) x))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 -1 (/.f64 x (/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (+.f64 x x) (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (/.f64 (+.f64 x x) (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2) 1/2)
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (/.f64 1 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1 x) (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 2 x) x))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(.f64 2 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 2 (/.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (+.f64 x x) (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 2 (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x)))
(.f64 2 (.f64 x (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 2 x) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 2 x) x))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 4 (/.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 4 (/.f64 x (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 2))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 (/.f64 1 x) x)))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x (+.f64 x x)))
(*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 (/.f64 1/2 x) x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(.f64 (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)) (/.f64 1/2 x))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(*.f64 (/.f64 x 2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x (+.f64 x x)) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 2)
(.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) 2)
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(.f64 (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1/2 x))
(.f64 (/.f64 1 (.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (.f64 x (*.f64 x 4)))
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/2 x))
(.f64 (/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) x))) 1/2)
(.f64 (/.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 2 x) x))) (/.f64 2 x))
(.f64 (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 2 x) x))) (/.f64 1 x))
(.f64 (/.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4)
(.f64 (/.f64 1 (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 4))
(.f64 (/.f64 (+.f64 x x) (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(*.f64 (/.f64 x (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) 4)
(.f64 (/.f64 1 (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (.f64 x 4))
(*.f64 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) 2)
(*.f64 (/.f64 2 (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x)) 2)
(*.f64 (/.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (/.f64 x (/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) -1)
(*.f64 (/.f64 1 (/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x))
(.f64 (.f64 x (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 x 0)
(+.f64 0 x)
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 1/2 (+.f64 x x))
(.f64 (/.f64 1/2 x) (.f64 x (+.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 (/.f64 1 x) x)))
(*.f64 -1 (neg.f64 x))
(*.f64 (+.f64 x x) 1/2)
(.f64 (/.f64 1 x) (.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 (/.f64 1 x) x)))
(*.f64 (/.f64 1 x) (/.f64 2 (/.f64 (/.f64 2 x) x)))
(*.f64 2 (/.f64 x 2))
(*.f64 2 (/.f64 (+.f64 x x) 4))
(*.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) x)))
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 (/.f64 2 x) x)))
(.f64 (.f64 x 4) 1/4)
(.f64 (.f64 x (*.f64 x 4)) (/.f64 1/4 x))
(*.f64 4 (/.f64 x 4))
(*.f64 (neg.f64 x) -1)
(.f64 (.f64 x x) (/.f64 1 x))
(*.f64 (/.f64 x 2) 2)
(.f64 (/.f64 1/4 x) (.f64 x (*.f64 x 4)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/2 x))
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(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 1/2 x) (.f64 x x)))
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)))
(.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)) (/.f64 (/.f64 1/2 x) x))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x x) (/.f64 4 (*.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 1 x) x))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x x))
(.f64 (.f64 1/2 (/.f64 1/2 x)) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(.f64 (/.f64 1/4 x) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 4 (*.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 x (+.f64 x x)) (/.f64 2 (*.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 4))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/2 x) (.f64 x x)) (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (/.f64 2 x))
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1/2)
(.f64 (/.f64 x (.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))) 2)
(*.f64 (/.f64 x (/.f64 1 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(*.f64 (/.f64 2 (/.f64 1 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 2 x))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (/.f64 1 x) x))
(.f64 (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (/.f64 1/2 x) x))
(.f64 (/.f64 4 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (/.f64 x (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 4)
(.f64 (/.f64 1 (.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (.f64 x 4))
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(.f64 (/.f64 1 (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (.f64 x (.f64 x 4)))
(.f64 (/.f64 (+.f64 x x) (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (+.f64 x x))
(.f64 (/.f64 2 (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (*.f64 x (+.f64 x x)))
(.f64 (/.f64 4 (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (*.f64 x x))
(.f64 (/.f64 x (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) -1)
(.f64 (/.f64 1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(.f64 (/.f64 x (.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(.f64 (/.f64 1 (.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
(.f64 (/.f64 1 (neg.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x))
(*.f64 (/.f64 x (/.f64 -1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
(*.f64 (/.f64 1 (/.f64 -1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 1/2 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 (/.f64 1/2 x)))
(.f64 (/.f64 1 (neg.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) -1)
(*.f64 (/.f64 1 (/.f64 -1/2 (/.f64 1/2 x))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1/2 (/.f64 1/2 x))) -1)
(pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 x -1/8))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 x -1/8)))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 1/2 (.f64 x -1/8)))
(+.f64 (+.f64 1/2 (.f64 x -1/8)) (.f64 (pow.f64 x 2) 1/16))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 x -1/8) (+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 3) -5/128))))
(+.f64 (.f64 x -1/8) (+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 (*.f64 (pow.f64 x 3) -5/128) 1/2)))
(+.f64 (.f64 x -1/8) (+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 1/2 (*.f64 (pow.f64 x 3) -5/128))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 1/2 (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 1/2 (/.f64 (/.f64 1 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 x) (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 x) (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 1/2 x) (/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))))
(.f64 (/.f64 1/2 x) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (/.f64 (+.f64 x x) (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (/.f64 1 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (/.f64 1 x) (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 2 x) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (/.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 (+.f64 x x) (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 x (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 x) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 2 x) x))))
(.f64 (/.f64 2 x) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (*.f64 x x)))))
(.f64 (/.f64 2 x) (/.f64 (.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 4 (/.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 4 (/.f64 x (/.f64 2 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 2))
(.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 1/2 x))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 (/.f64 1 x) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x (+.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 (/.f64 1/2 x) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)) (/.f64 1/2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x 2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x 2))
(.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 1/2 x))
(.f64 (.f64 x (+.f64 x x)) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) 2)
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 x) (/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))))
(.f64 (/.f64 1 (.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (.f64 x (*.f64 x 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
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(.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 1 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))))
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(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 1/2 x) (.f64 x x)))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)))
(.f64 x (.f64 (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 (/.f64 1/2 x) x)))
(.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (*.f64 x -2) (/.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)))
(.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))))
(.f64 (.f64 x (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)) (/.f64 (/.f64 1/2 x) x))
(.f64 x (.f64 (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 (/.f64 1/2 x) x)))
(.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (*.f64 x -2) (/.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(.f64 (.f64 x x) (/.f64 4 (*.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(.f64 x (.f64 x (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 1 x) x))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 (/.f64 1 x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1/4 x) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
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(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
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(.f64 (/.f64 1/2 x) (.f64 (/.f64 1/2 x) (/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
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(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x)))
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(*.f64 (/.f64 2 x) (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1/2 x) (.f64 x x)) (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (/.f64 2 x))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x)))
(.f64 x (.f64 (/.f64 (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x) (/.f64 2 x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1/2)
(.f64 1/2 (/.f64 (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 x x) x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 (/.f64 2 (/.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 x (.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))) 2)
(.f64 2 (/.f64 (/.f64 x x) (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (/.f64 1 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 2 (/.f64 1 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 2 x))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x)))
(.f64 x (.f64 (/.f64 (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x) (/.f64 2 x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 x -2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (/.f64 1 x) x))
(.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 2 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (/.f64 1/2 x) x))
(*.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))))
(.f64 (/.f64 4 (.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1/2 x) (/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x 1/4))))
(.f64 (/.f64 x (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 4)
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 (.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (.f64 x 4))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (.f64 x (.f64 x 4)))
(.f64 x (.f64 (.f64 x 4) (/.f64 1/4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 x x))))))
(.f64 (.f64 x 4) (.f64 (/.f64 1/4 (/.f64 x (/.f64 -1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) x))
(.f64 (.f64 x 4) (.f64 (/.f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x))) x))
(.f64 (/.f64 (+.f64 x x) (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 (/.f64 x 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 (.f64 1/2 x) (/.f64 x (/.f64 -1 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (+.f64 x x) (/.f64 x (.f64 (.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))))
(.f64 (/.f64 2 (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (*.f64 x (+.f64 x x)))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (*.f64 x x))))))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (/.f64 x (/.f64 -1 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))))
(.f64 (/.f64 4 (.f64 4 (/.f64 x (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 x (/.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)))
(.f64 x (.f64 x (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))))
(.f64 (/.f64 x (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) -1)
(neg.f64 (/.f64 (/.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 (.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 x (.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(neg.f64 (/.f64 (/.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 (.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
(neg.f64 (/.f64 (/.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 (neg.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (/.f64 -1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
(neg.f64 (/.f64 (/.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (/.f64 -1 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (/.f64 1/2 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 (/.f64 1/2 x)))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 (neg.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 (/.f64 1/2 x)))
(.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 1 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))))
(.f64 (/.f64 -1/2 x) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(.f64 (/.f64 -1/2 x) (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) -1)
(neg.f64 (/.f64 (/.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (/.f64 -1/2 (/.f64 1/2 x))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (/.f64 1 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1/2 (/.f64 1/2 x))) -1)
(neg.f64 (/.f64 (/.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval453.0ms (3.7%)

Compiler: Compiled 23770 to 17999 computations (24.3% saved)

prune309.0ms (2.6%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	1334	6	1340
Fresh	4	10	14
Picked	0	1	1
Done	2	7	9
Total	1340	24	1364

Error

0.0b

Counts

1364 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	(/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))
	0.3b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 x))
	30.4b	(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) x))
	42.5b	(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 x -1/16)) (.f64 (/.f64 -1/2 x) (*.f64 x -2))) x))
	43.1b	(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) x))
✓	0.3b	(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
	21.8b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
	21.8b	(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	21.0b	(/.f64 x 2)
	0.4b	(/.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
	20.4b	(/.f64 2 (.f64 (+.f64 (.f64 1/2 x) 2) (/.f64 2 x)))
✓	0.3b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
✓	20.4b	(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
	21.2b	(/.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16)))
✓	0.3b	(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (/.f64 1/2 x))) x)
✓	0.2b	(*.f64 (/.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) x)
	41.8b	(.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1/2 x))
	9.4b	(.f64 (/.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
	43.8b	(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (+.f64 x x))
	21.1b	(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (*.f64 x (/.f64 1/2 x)))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	60.9b	2

Compiler

Compiled 364 to 282 computations (22.5% saved)

regimes57.0ms (0.5%)

Counts

47 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Calls

2 calls:

21.0ms	x
20.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 706 to 537 computations (23.9% saved)

regimes14.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) x))
(/.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) 1/4) (*.f64 x -1/16)))
(/.f64 2 (.f64 (+.f64 (.f64 1/2 x) 2) (/.f64 2 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/4 (/.f64 1 x)) x))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 (.f64 1/2 x) 2)))
(/.f64 2 (+.f64 (.f64 4 (/.f64 1 x)) (+.f64 (.f64 x -1/4) 1)))
(.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (/.f64 1/2 x))
(/.f64 (/.f64 1/2 x) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16))) x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16)))) (*.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1/4 (/.f64 1 x)) x) (.f64 (.f64 x x) 8))) (+.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 x) 1/4) (.f64 x -1/16)) (.f64 (/.f64 -1/2 x) (*.f64 x -2))) x))

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
20.3b	1	`x`

Compiler

Compiled 194 to 147 computations (24.2% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))

Outputs
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
20.4b	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes4.0ms (0%)

Accuracy

Total -41.2b remaining (-196.2%)

Threshold costs -41.2b (-196.2%)

Counts

3 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 (+.f64 (.f64 -1/8 x) 1/2) x)

Outputs
(/.f64 x 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
21.0b	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(/.f64 x 2)
2

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1/2 (+.f64 (/.f64 1 x) 1/4))
(/.f64 x 2)
2

Compiler

Compiled 31 to 25 computations (19.4% saved)

soundness0.0ms (0%)

end31.0ms (0.3%)

Compiler: Compiled 27 to 21 computations (22.2% saved)