Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample888.0ms (11.4%)

Results

876.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

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

28.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x 2) (pow.f64 x 2))
✓	27.8b	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+.f64 (pow.f64 x 2) (pow.f64 x 2))
0.0ms	x	@	0	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
0.0ms	x	@	inf	(+.f64 (pow.f64 x 2) (pow.f64 x 2))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
0.0ms	x	@	0	(+.f64 (pow.f64 x 2) (pow.f64 x 2))

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`rational.json-1`
758×	`rational.json-simplify-29`
642×	`rational.json-2`
642×	`rational.json-4`
642×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	42
1	42	42
2	102	30
3	377	30
4	2212	30
5	7622	30

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))

Outputs
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Outputs

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

simplify181.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-1`
1438×	`rational.json-simplify-63`
1232×	`rational.json-simplify-67`
1102×	`rational.json-simplify-50`
916×	`rational.json-simplify-37`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	214	2175
1	625	2133
2	3276	2133
3	5892	2133
4	7402	2133
5	7600	2133
6	7696	2133
7	7765	2133
8	7765	2133

Stop Event

1×	node limit

Counts

141 → 129

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -1/2) (.f64 -1/2 (.f64 3 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) 2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) -2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (+.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2) (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2)) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (neg.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) 2) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 5))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) 2) (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2)) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2)) (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2))) (+.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2)) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))) (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2) (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 2 (-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) -2) -1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 4) 1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) -2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2) 2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 4)) -1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (/.f64 1/2 (/.f64 -1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 2 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1 (-.f64 0 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2) -2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1/2 (/.f64 -1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 4) 2)) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (pow.f64 x 2)) 0)
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 0))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (pow.f64 x 2)) (.f64 (*.f64 (pow.f64 x 2) 0) 2))
(*.f64 2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 2)) 3))
(-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 3 (neg.f64 (pow.f64 x 2))))
(-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) -3))
(-.f64 (.f64 (pow.f64 x 2) -2) (neg.f64 (.f64 (pow.f64 x 2) 4)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (.f64 (pow.f64 x 2) 0) 2)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 0) (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (*.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(-.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) (.f64 3 (*.f64 (pow.f64 x 2) -2)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (.f64 2 (pow.f64 x 2)) 4) (.f64 2 (.f64 (pow.f64 x 2) 3)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3))
(*.f64 2 (pow.f64 x 2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (neg.f64 (.f64 (pow.f64 x 2) 4))) (.f64 2 (.f64 (pow.f64 x 2) 3)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 3 (.f64 (pow.f64 x 2) -2)) (neg.f64 (.f64 (.f64 2 (pow.f64 x 2)) 4)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) 2) (.f64 (*.f64 2 (pow.f64 x 2)) 5))
(-.f64 (.f64 2 (.f64 (pow.f64 x 2) 6)) (.f64 (.f64 2 (pow.f64 x 2)) 5))
(-.f64 (.f64 (pow.f64 x 2) 12) (.f64 (pow.f64 x 2) 10))
(-.f64 (.f64 (.f64 (.f64 2 (pow.f64 x 2)) 4) 2) (+.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (.f64 (*.f64 2 (pow.f64 x 2)) 4)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 0) 2) (*.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 1/2)) (*.f64 (pow.f64 x 2) 3/2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 3/2)) (*.f64 (pow.f64 x 2) 1/2))
(-.f64 (.f64 (pow.f64 x 2) 7/2) (.f64 (pow.f64 x 2) 3/2))
(-.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (neg.f64 (.f64 (pow.f64 x 2) 4))) (-.f64 (.f64 (pow.f64 x 2) 4) (neg.f64 (.f64 (pow.f64 x 2) 4)))) (+.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (neg.f64 (.f64 (pow.f64 x 2) 4))) (.f64 2 (.f64 (pow.f64 x 2) 3))))
(*.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 5)) (+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 (.f64 (.f64 2 (pow.f64 x 2)) 4) 2) (.f64 (.f64 (.f64 2 (pow.f64 x 2)) 4) 2)) (+.f64 (.f64 (.f64 (.f64 2 (pow.f64 x 2)) 4) 2) (+.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (.f64 (*.f64 2 (pow.f64 x 2)) 4))))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 2)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(.f64 1 (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -2)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) -2) -1)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 4) 1/2)
(*.f64 2 (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) -1/2)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (*.f64 2 (pow.f64 x 2)) 4) 1/4)
(*.f64 2 (pow.f64 x 2))
(.f64 -1/2 (neg.f64 (.f64 (pow.f64 x 2) 4)))
(*.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (*.f64 2 (pow.f64 x 2)) 4)) -1/4)
(*.f64 2 (pow.f64 x 2))
(*.f64 -2 (neg.f64 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(.f64 4 (.f64 (pow.f64 x 2) 1/2))
(*.f64 2 (pow.f64 x 2))
(/.f64 2 (/.f64 1 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) 1/2)
(*.f64 2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(/.f64 1 (/.f64 1/2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 -1 (/.f64 -1/2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 -1 (-.f64 0 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) -1/2)
(*.f64 2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) -1)
(*.f64 2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) 2)
(*.f64 2 (pow.f64 x 2))
(/.f64 1/2 (/.f64 1/4 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 4)) -2)
(*.f64 2 (pow.f64 x 2))
(/.f64 -1/2 (/.f64 1/4 (neg.f64 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(/.f64 -2 (/.f64 -1 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 -2 (-.f64 0 (/.f64 1 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (-.f64 (.f64 (pow.f64 x 2) 4) (neg.f64 (.f64 (pow.f64 x 2) 4)))) -1)
(*.f64 2 (pow.f64 x 2))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (.f64 (.f64 2 (pow.f64 x 2)) 4)) (.f64 (.f64 (*.f64 2 (pow.f64 x 2)) 4) 2)) -1)
(*.f64 2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))

eval67.0ms (0.9%)

Compiler: Compiled 1817 to 1593 computations (12.3% saved)

prune43.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	6	130

Error

0.2b

Counts

130 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
▶	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	30.2b	(*.f64 (sqrt.f64 2) x)
▶	28.7b	(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))
▶	28.9b	(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
▶	28.8b	(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))

Compiler

Compiled 120 to 102 computations (15% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 x 2) 1/2)
✓	27.8b	(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`rational.json-simplify-29`
690×	`rational.json-simplify-13`
672×	`rational.json-1`
672×	`rational.json-2`
672×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	50	30
2	115	30
3	408	30
4	2379	30

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))
(/.f64 (pow.f64 x 2) 1/2)

Outputs
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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 3) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 0) (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) 1/8) (*.f64 (*.f64 (pow.f64 x 2) 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 3)) (*.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -4) (*.f64 2 (*.f64 (pow.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 2) 3) -2) (/.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 3/2) (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 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5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 1/2)) (*.f64 (pow.f64 x 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 5) (*.f64 (pow.f64 x 2) 5)) (+.f64 (*.f64 (pow.f64 x 2) 5) (*.f64 (pow.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) 1/8)) (*.f64 2 (/.f64 (pow.f64 x 2) 1/8))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) 1/8)) (+.f64 (/.f64 (pow.f64 x 2) 1/8) (*.f64 2 (*.f64 (pow.f64 x 2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) 1/8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 (pow.f64 x 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) -1/8) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) -2))))))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-3`
1250×	`rational.json-simplify-6`
1230×	`rational.json-simplify-2`
1004×	`rational.json-simplify-12`
980×	`rational.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	191	2003
1	457	1977
2	2309	1977

Stop Event

1×	node limit

Counts

133 → 116

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -1/2) (.f64 -1/2 (.f64 3 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) 2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) -2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (+.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2) (.f64 3 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0)) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) 2) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 5))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) 2) (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0)) (-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0))) (+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0)) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))) (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2) (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) 2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 2 (-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) -2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) -2) -1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 4) 1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (/.f64 1/2 (/.f64 -1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 4)) -1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 2 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1 (-.f64 0 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1/2 (/.f64 -1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) -2) -2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) 0)
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 0))
(*.f64 2 (pow.f64 x 2))
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 3))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 3) (neg.f64 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 0) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 3) -2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (*.f64 (pow.f64 x 2) -4))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -4) (.f64 2 (*.f64 (pow.f64 x 2) 3)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 3) -2) (/.f64 (pow.f64 x 2) 1/8))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) 3/2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 3/2) (.f64 (pow.f64 x 2) 1/2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))
(-.f64 (*.f64 2 (pow.f64 x 2)) 0)
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 0))
(*.f64 2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 2)) 3))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 2) -4))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 0) (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (/.f64 (pow.f64 x 2) 1/8) (.f64 2 (.f64 (pow.f64 x 2) 3)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (.f64 (pow.f64 x 2) 3)) (*.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) -4) (.f64 (*.f64 (pow.f64 x 2) 3) -2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) 1/8)) (+.f64 (/.f64 (pow.f64 x 2) 1/8) (.f64 2 (*.f64 (pow.f64 x 2) 3))))
(*.f64 2 (pow.f64 x 2))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 4) 3) (.f64 (.f64 2 (pow.f64 x 2)) 5))
(*.f64 2 (pow.f64 x 2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 1/2)) (*.f64 (pow.f64 x 2) 3/2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) 3/2)) (*.f64 (pow.f64 x 2) 1/2))
(-.f64 (.f64 (pow.f64 x 2) 7/2) (.f64 (pow.f64 x 2) 3/2))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 5)) (+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
(*.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) 1/8)) (.f64 2 (/.f64 (pow.f64 x 2) 1/8))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) 1/8)) (+.f64 (/.f64 (pow.f64 x 2) 1/8) (.f64 2 (*.f64 (pow.f64 x 2) 3)))))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 2)
(*.f64 2 (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(.f64 1 (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -2)
(*.f64 2 (pow.f64 x 2))
(.f64 -1/2 (.f64 (pow.f64 x 2) -4))
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) -2) -1)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 4) 1/2)
(*.f64 2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) 1/8) 1/4)
(*.f64 2 (pow.f64 x 2))
(*.f64 1/4 (/.f64 (pow.f64 x 2) 1/8))
(*.f64 2 (pow.f64 x 2))
(*.f64 -1/4 (/.f64 (pow.f64 x 2) -1/8))
(*.f64 2 (pow.f64 x 2))
(*.f64 -2 (neg.f64 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) -1/8) -1/4)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) -4) -1/2)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/2) 4)
(*.f64 2 (pow.f64 x 2))
(.f64 4 (.f64 (pow.f64 x 2) 1/2))
(*.f64 2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) x)

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-1`
1542×	`rational.json-2`
1542×	`rational.json-3`
1514×	`rational.json-4`
714×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	38	11
2	106	11
3	474	11
4	3604	11
5	6653	11

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (*.f64 x 3))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 2) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 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simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-21`
1376×	`rational.json-simplify-23`
1236×	`rational.json-simplify-1`
982×	`rational.json-simplify-29`
480×	`rational.json-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	2695
1	934	2317
2	4497	2309

Stop Event

1×	node limit

Counts

123 → 138

Calls

Call 1

Inputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) 0))))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
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(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
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(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) x))
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(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 (.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
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(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
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(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
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(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
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(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))
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(-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
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(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 (*.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 0 (-.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x))) (+.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 x) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 1/2)))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 -1 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(/.f64 (-.f64 (*.f64 x 3) (-.f64 (+.f64 x x) (-.f64 (neg.f64 x) x))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (+.f64 (+.f64 x (.f64 x 3)) (+.f64 x (.f64 x 3)))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 x 3)) (neg.f64 (+.f64 x (.f64 x 3)))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 1 x))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) (neg.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (neg.f64 x))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`rational.json-1`
964×	`rational.json-2`
964×	`rational.json-3`
960×	`rational.json-4`
826×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	47	15
2	142	15
3	647	15
4	4537	15

Stop Event

1×	node limit

Counts

1 → 138

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (neg.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 0 (+.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (+.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (*.f64 0 (+.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (*.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (*.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 (/.f64 -1 x) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -2)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 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simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-63`
1320×	`rational.json-simplify-1`
1228×	`rational.json-simplify-37`
1126×	`rational.json-simplify-50`
486×	`rational.json-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3268
1	1155	2966
2	5429	2858

Stop Event

1×	node limit

Counts

150 → 154

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
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(+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (neg.f64 x)))
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(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
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(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
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(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))))
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(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
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(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))))
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(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
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(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -2)))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 2 (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(-.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x))) (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x)))) (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2))))) (+.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x)))) (+.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))) (+.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 x (/.f64 -1 (sqrt.f64 2)))
(/.f64 x (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(/.f64 1 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))
(/.f64 -1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(/.f64 -1 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 x)))
(/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) 1/2)))
(/.f64 (*.f64 (sqrt.f64 2) x) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -1 x) 1/2))
(/.f64 (*.f64 x -2) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 -1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x -2)))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 x -2))))
(/.f64 1/2 (/.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(/.f64 -1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 (*.f64 x -1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/2 x))
(/.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 1/2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -2))) (/.f64 1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 1 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 1 x))
(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 (neg.f64 x) -1/2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 -1 (.f64 x -3)) (*.f64 2 (+.f64 x x))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 2 (+.f64 x x)) (.f64 x 3)) (+.f64 (.f64 2 (+.f64 x x)) (.f64 2 (+.f64 x x)))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 x -1/2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 1/2 (*.f64 x -3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 -1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)) (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (*.f64 x -2)))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (neg.f64 x) -1/2) (.f64 -1/2 (*.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))

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

localize43.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 x 2) 3)
✓	11.8b	(-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2))
✓	27.8b	(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 3)
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))
0.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 2) 3)

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational.json-1`
1160×	`rational.json-2`
1160×	`rational.json-3`
1158×	`rational.json-4`
1080×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	56	43
2	158	43
3	680	43
4	4785	43

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))
(-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 3)

Outputs

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

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational.json-simplify-21`
1226×	`rational.json-simplify-23`
996×	`rational.json-simplify-37`
946×	`rational.json-simplify-44`
742×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	346	3335
1	875	3327
2	3367	3327

Stop Event

1×	node limit

Counts

243 → 215

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 x 2) 5)
	0.2b	(*.f64 (pow.f64 x 2) 3)
✓	11.8b	(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3))
✓	27.8b	(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))

Compiler

Compiled 41 to 33 computations (19.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 5)
0.0ms	x	@	inf	(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`rational.json-1`
1650×	`rational.json-2`
1650×	`rational.json-3`
800×	`rational.json-simplify-6`
776×	`rational.json-simplify-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	67	43
2	181	43
3	765	43
4	6329	43

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3))
(*.f64 (pow.f64 x 2) 5)

Outputs

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simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-21`
1158×	`rational.json-simplify-23`
1068×	`rational.json-simplify-37`
928×	`rational.json-simplify-44`
720×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	292	2595
1	846	2587
2	3149	2587

Stop Event

1×	node limit

Counts

187 → 159

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(+.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(+.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (-.f64 0 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(-.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(-.f64 0 (.f64 -1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (-.f64 0 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 -1 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))
(-.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0)) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) 1/2) (.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2)) (+.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3)))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) -1)
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1/2)
(.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)))
(.f64 -1/2 (-.f64 0 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1)
(/.f64 1/2 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) -3))
(+.f64 (*.f64 (pow.f64 x 2) 3) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 3) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) -5)))
(+.f64 (.f64 (pow.f64 x 2) 3) (-.f64 (.f64 (pow.f64 x 2) -5) (neg.f64 (*.f64 (pow.f64 x 2) 4))))
(+.f64 (.f64 (pow.f64 x 2) 3) (-.f64 (.f64 (pow.f64 x 2) 15) (*.f64 (pow.f64 x 2) 16)))
(+.f64 (*.f64 2 (pow.f64 x 2)) 0)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 0))
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 10) (.f64 (pow.f64 x 2) -8))
(+.f64 (.f64 (pow.f64 x 2) 10) (-.f64 (.f64 (pow.f64 x 2) 0) (*.f64 (pow.f64 x 2) 8)))
(+.f64 (.f64 (pow.f64 x 2) 10) (-.f64 (.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 0)))
(+.f64 (.f64 (pow.f64 x 2) 10) (-.f64 (.f64 (pow.f64 x 2) -6) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 2) 10) (.f64 1/2 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 15))))
(+.f64 (.f64 (pow.f64 x 2) 8) (.f64 (pow.f64 x 2) -6))
(+.f64 (.f64 (pow.f64 x 2) 8) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) -10)))
(+.f64 (.f64 (pow.f64 x 2) 8) (-.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 10)))
(+.f64 (.f64 (pow.f64 x 2) 8) (-.f64 (.f64 (pow.f64 x 2) -10) (neg.f64 (*.f64 (pow.f64 x 2) 4))))
(+.f64 (.f64 (pow.f64 x 2) 8) (-.f64 (.f64 (pow.f64 x 2) 10) (*.f64 (pow.f64 x 2) 16)))
(+.f64 (.f64 (pow.f64 x 2) -3) (.f64 (pow.f64 x 2) 5))
(+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 2) 4))
(+.f64 (.f64 (pow.f64 x 2) -5) (.f64 (pow.f64 x 2) 7))
(+.f64 (.f64 (pow.f64 x 2) -5) (.f64 -1 (*.f64 (pow.f64 x 2) -7)))
(+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 (pow.f64 x 2) 20) (neg.f64 (.f64 (pow.f64 x 2) 18)))
(+.f64 (.f64 (pow.f64 x 2) 20) (+.f64 0 (neg.f64 (.f64 (pow.f64 x 2) 18))))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (.f64 (pow.f64 x 2) -3) (*.f64 (pow.f64 x 2) 15)))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (neg.f64 (.f64 (pow.f64 x 2) 18)) (*.f64 (pow.f64 x 2) 0)))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 15)) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (.f64 (pow.f64 x 2) 20) (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 18))))
(+.f64 (.f64 (pow.f64 x 2) 20) (.f64 1 (neg.f64 (*.f64 (pow.f64 x 2) 18))))
(+.f64 (.f64 (pow.f64 x 2) 18) (-.f64 0 (.f64 (pow.f64 x 2) 16)))
(+.f64 (.f64 (pow.f64 x 2) 18) (-.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 20)))
(+.f64 (.f64 (pow.f64 x 2) 6) (neg.f64 (.f64 (pow.f64 x 2) 4)))
(+.f64 (.f64 (pow.f64 x 2) 6) (-.f64 (.f64 (pow.f64 x 2) -3) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 0) (.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -8) (.f64 (pow.f64 x 2) 10))
(+.f64 (neg.f64 (.f64 (pow.f64 x 2) 18)) (.f64 (pow.f64 x 2) 20))
(+.f64 (.f64 (pow.f64 x 2) 7) (.f64 (pow.f64 x 2) -5))
(+.f64 (.f64 (pow.f64 x 2) 16) (-.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 18)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 20)) (-.f64 0 (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 18))))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 5) 1/2) (*.f64 1/2 (neg.f64 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 2)
(.f64 (.f64 2 (pow.f64 x 2)) 1)
(.f64 1 (.f64 2 (pow.f64 x 2)))
(.f64 -1 (.f64 (pow.f64 x 2) -2))
(.f64 (.f64 (pow.f64 x 2) -2) -1)
(*.f64 (neg.f64 (pow.f64 x 2)) -2)
(.f64 (.f64 (pow.f64 x 2) 4) 1/2)
(.f64 1/2 (.f64 (pow.f64 x 2) 4))
(.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) -1/2)
(*.f64 -2 (neg.f64 (pow.f64 x 2)))
(.f64 -1/2 (neg.f64 (.f64 (pow.f64 x 2) 4)))
(.f64 4 (.f64 1/2 (pow.f64 x 2)))
(/.f64 2 (/.f64 1 (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 2 (pow.f64 x 2)) 1)
(/.f64 1 (/.f64 1/2 (pow.f64 x 2)))
(/.f64 -1 (/.f64 (/.f64 1 (pow.f64 x 2)) -2))
(/.f64 -1 (/.f64 1 (*.f64 (pow.f64 x 2) -2)))
(/.f64 -1 (/.f64 -1 (*.f64 2 (pow.f64 x 2))))
(/.f64 (*.f64 (pow.f64 x 2) -2) -1)
(/.f64 (neg.f64 (pow.f64 x 2)) -1/2)
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 x 2)) 2))
(/.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) 4)))
(/.f64 1/2 (/.f64 -1 (neg.f64 (*.f64 (pow.f64 x 2) 4))))
(/.f64 -2 (*.f64 (/.f64 1 (pow.f64 x 2)) -1))
(/.f64 -2 (-.f64 0 (/.f64 1 (pow.f64 x 2))))
(neg.f64 (*.f64 (pow.f64 x 2) -2))
(+.f64 (*.f64 (pow.f64 x 2) 5) 0)
(+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 0))
(+.f64 0 (*.f64 (pow.f64 x 2) 5))
(+.f64 (.f64 (pow.f64 x 2) 10) (.f64 (pow.f64 x 2) -5))
(+.f64 (.f64 (pow.f64 x 2) -5) (.f64 (pow.f64 x 2) 10))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 0 (.f64 (pow.f64 x 2) 15)))
(+.f64 (.f64 (pow.f64 x 2) 0) (.f64 (pow.f64 x 2) 5))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 5) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) 5)))
(-.f64 (*.f64 (pow.f64 x 2) 5) 0)
(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 0))
(-.f64 (.f64 (pow.f64 x 2) 5) (+.f64 (.f64 (pow.f64 x 2) 0) (*.f64 (pow.f64 x 2) 0)))
(-.f64 0 (*.f64 (pow.f64 x 2) -5))
(-.f64 (.f64 (pow.f64 x 2) 10) (.f64 (pow.f64 x 2) 5))
(-.f64 (.f64 (pow.f64 x 2) -5) (.f64 (pow.f64 x 2) -10))
(-.f64 (.f64 (pow.f64 x 2) -5) (.f64 -5 (*.f64 2 (pow.f64 x 2))))
(-.f64 (.f64 (pow.f64 x 2) -5) (.f64 -1 (*.f64 (pow.f64 x 2) 10)))
(-.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 15))
(-.f64 (.f64 (pow.f64 x 2) 15) (.f64 (pow.f64 x 2) 10))
(-.f64 (.f64 (pow.f64 x 2) 0) (.f64 (pow.f64 x 2) -5))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 20)) (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 15)))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 0)) (*.f64 (pow.f64 x 2) 15))
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 4) 1/5) (/.f64 (.f64 (pow.f64 x 2) 3) 1/5))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 4) 5) (*.f64 (pow.f64 x 2) 15))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 15) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) 5)))
(/.f64 (pow.f64 x 2) 1/5)
(/.f64 5 (/.f64 1 (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) 5) 1)
(/.f64 1 (/.f64 1/5 (pow.f64 x 2)))
(/.f64 -1 (/.f64 1 (*.f64 (pow.f64 x 2) -5)))
(/.f64 (*.f64 (pow.f64 x 2) -5) -1)
(/.f64 (neg.f64 (pow.f64 x 2)) -1/5)
(/.f64 10 (/.f64 (/.f64 1 (pow.f64 x 2)) 1/2))
(/.f64 -5 (-.f64 0 (/.f64 1 (pow.f64 x 2))))
(/.f64 -5 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 x 2)) 5))
(/.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) 10))
(/.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) 10)))
(/.f64 1/2 (/.f64 -1 (*.f64 (pow.f64 x 2) -10)))
(/.f64 5/2 (/.f64 1/2 (pow.f64 x 2)))
(neg.f64 (*.f64 (pow.f64 x 2) -5))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(*.f64 5 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 5)
(+.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (-.f64 0 (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1/2) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 0 (.f64 -1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (-.f64 0 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 -1 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 0)) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3) 1/2) (.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2)) (+.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 -1/2 (-.f64 0 (.f64 2 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) -1)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1/2 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) -3))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 3) (neg.f64 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 3) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) -5)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 3) (-.f64 (.f64 (pow.f64 x 2) -5) (neg.f64 (*.f64 (pow.f64 x 2) 4))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 3) (-.f64 (.f64 (pow.f64 x 2) 15) (*.f64 (pow.f64 x 2) 16)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) 0)
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 0))
(*.f64 2 (pow.f64 x 2))
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 10) (.f64 (pow.f64 x 2) -8))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 10) (-.f64 (.f64 (pow.f64 x 2) 0) (*.f64 (pow.f64 x 2) 8)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 10) (-.f64 (.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 0)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 10) (-.f64 (.f64 (pow.f64 x 2) -6) (*.f64 2 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 10) (.f64 1/2 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 15))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 8) (.f64 (pow.f64 x 2) -6))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 8) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) -10)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 8) (-.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 10)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 8) (-.f64 (.f64 (pow.f64 x 2) -10) (neg.f64 (*.f64 (pow.f64 x 2) 4))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 8) (-.f64 (.f64 (pow.f64 x 2) 10) (*.f64 (pow.f64 x 2) 16)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -3) (.f64 (pow.f64 x 2) 5))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -5) (.f64 (pow.f64 x 2) 7))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -5) (.f64 -1 (*.f64 (pow.f64 x 2) -7)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 4) (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (neg.f64 (.f64 (pow.f64 x 2) 18)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (+.f64 0 (neg.f64 (.f64 (pow.f64 x 2) 18))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (.f64 (pow.f64 x 2) -3) (*.f64 (pow.f64 x 2) 15)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (neg.f64 (.f64 (pow.f64 x 2) 18)) (*.f64 (pow.f64 x 2) 0)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 15)) (*.f64 2 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 (.f64 (pow.f64 x 2) 20) (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 18))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 20) (.f64 1 (neg.f64 (*.f64 (pow.f64 x 2) 18))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 18) (-.f64 0 (.f64 (pow.f64 x 2) 16)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 18) (-.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 20)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 6) (neg.f64 (.f64 (pow.f64 x 2) 4)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 6) (-.f64 (.f64 (pow.f64 x 2) -3) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 0) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -8) (.f64 (pow.f64 x 2) 10))
(*.f64 2 (pow.f64 x 2))
(+.f64 (neg.f64 (.f64 (pow.f64 x 2) 18)) (.f64 (pow.f64 x 2) 20))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 7) (.f64 (pow.f64 x 2) -5))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 16) (-.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 2) 18)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 20)) (-.f64 0 (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 18))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 5) 1/2) (*.f64 1/2 (neg.f64 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 2)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(.f64 1 (.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) -2) -1)
(*.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -2)
(*.f64 2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 4) 1/2)
(*.f64 2 (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 4))
(*.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) -1/2)
(*.f64 2 (pow.f64 x 2))
(*.f64 -2 (neg.f64 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(.f64 -1/2 (neg.f64 (.f64 (pow.f64 x 2) 4)))
(*.f64 2 (pow.f64 x 2))
(.f64 4 (.f64 1/2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 2 (/.f64 1 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) 1/2)
(*.f64 2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(/.f64 1 (/.f64 1/2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 -1 (/.f64 (/.f64 1 (pow.f64 x 2)) -2))
(*.f64 2 (pow.f64 x 2))
(/.f64 -1 (/.f64 1 (*.f64 (pow.f64 x 2) -2)))
(*.f64 2 (pow.f64 x 2))
(/.f64 -1 (/.f64 -1 (*.f64 2 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) -1)
(*.f64 2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) -1/2)
(*.f64 2 (pow.f64 x 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 x 2)) 2))
(*.f64 2 (pow.f64 x 2))
(/.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) 4)))
(*.f64 2 (pow.f64 x 2))
(/.f64 1/2 (/.f64 -1 (neg.f64 (*.f64 (pow.f64 x 2) 4))))
(*.f64 2 (pow.f64 x 2))
(/.f64 -2 (*.f64 (/.f64 1 (pow.f64 x 2)) -1))
(*.f64 2 (pow.f64 x 2))
(/.f64 -2 (-.f64 0 (/.f64 1 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) -2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 5) 0)
(*.f64 (pow.f64 x 2) 5)
(+.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 0))
(*.f64 (pow.f64 x 2) 5)
(+.f64 0 (*.f64 (pow.f64 x 2) 5))
(*.f64 (pow.f64 x 2) 5)
(+.f64 (.f64 (pow.f64 x 2) 10) (.f64 (pow.f64 x 2) -5))
(*.f64 (pow.f64 x 2) 5)
(+.f64 (.f64 (pow.f64 x 2) -5) (.f64 (pow.f64 x 2) 10))
(*.f64 (pow.f64 x 2) 5)
(+.f64 (.f64 (pow.f64 x 2) 20) (-.f64 0 (.f64 (pow.f64 x 2) 15)))
(*.f64 (pow.f64 x 2) 5)
(+.f64 (.f64 (pow.f64 x 2) 0) (.f64 (pow.f64 x 2) 5))
(*.f64 (pow.f64 x 2) 5)
(+.f64 (.f64 (.f64 (pow.f64 x 2) 5) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) 5)))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (*.f64 (pow.f64 x 2) 5) 0)
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 0))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) 5) (+.f64 (.f64 (pow.f64 x 2) 0) (*.f64 (pow.f64 x 2) 0)))
(*.f64 (pow.f64 x 2) 5)
(-.f64 0 (*.f64 (pow.f64 x 2) -5))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) 10) (.f64 (pow.f64 x 2) 5))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) -5) (.f64 (pow.f64 x 2) -10))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) -5) (.f64 -5 (*.f64 2 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) -5) (.f64 -1 (*.f64 (pow.f64 x 2) 10)))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 15))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) 15) (.f64 (pow.f64 x 2) 10))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (pow.f64 x 2) 0) (.f64 (pow.f64 x 2) -5))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 20)) (+.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 15)))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (-.f64 (.f64 (pow.f64 x 2) 20) (.f64 (pow.f64 x 2) 0)) (*.f64 (pow.f64 x 2) 15))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 4) 1/5) (/.f64 (.f64 (pow.f64 x 2) 3) 1/5))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (.f64 (pow.f64 x 2) 4) 5) (*.f64 (pow.f64 x 2) 15))
(*.f64 (pow.f64 x 2) 5)
(-.f64 (.f64 (.f64 (pow.f64 x 2) 15) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) 5)))
(*.f64 (pow.f64 x 2) 5)
(/.f64 (pow.f64 x 2) 1/5)
(*.f64 (pow.f64 x 2) 5)
(/.f64 5 (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 5)
(/.f64 (*.f64 (pow.f64 x 2) 5) 1)
(*.f64 (pow.f64 x 2) 5)
(/.f64 1 (/.f64 1/5 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 5)
(/.f64 -1 (/.f64 1 (*.f64 (pow.f64 x 2) -5)))
(*.f64 (pow.f64 x 2) 5)
(/.f64 (*.f64 (pow.f64 x 2) -5) -1)
(*.f64 (pow.f64 x 2) 5)
(/.f64 (neg.f64 (pow.f64 x 2)) -1/5)
(*.f64 (pow.f64 x 2) 5)
(/.f64 10 (/.f64 (/.f64 1 (pow.f64 x 2)) 1/2))
(*.f64 (pow.f64 x 2) 5)
(/.f64 -5 (-.f64 0 (/.f64 1 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 5)
(/.f64 -5 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 5)
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 x 2)) 5))
(*.f64 (pow.f64 x 2) 5)
(/.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) 10))
(*.f64 (pow.f64 x 2) 5)
(/.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) 10)))
(*.f64 (pow.f64 x 2) 5)
(/.f64 1/2 (/.f64 -1 (*.f64 (pow.f64 x 2) -10)))
(*.f64 (pow.f64 x 2) 5)
(/.f64 5/2 (/.f64 1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 5)
(neg.f64 (*.f64 (pow.f64 x 2) -5))
(*.f64 (pow.f64 x 2) 5)

eval478.0ms (6.2%)

Compiler: Compiled 13078 to 10846 computations (17.1% saved)

prune271.0ms (3.5%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	852	19	871
Fresh	1	0	1
Picked	1	0	1
Done	1	3	4
Total	855	22	877

Error

0.0b

Counts

877 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
	32.9b	(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
	30.4b	(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
	32.8b	(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
▶	30.2b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
▶	32.7b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))
	30.2b	(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
▶	30.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
	30.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
	32.7b	(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
	32.7b	(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
	32.7b	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
	33.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
	32.7b	(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
	30.4b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
▶	30.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
	32.8b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -2)))
	32.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
✓	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.2b	(*.f64 (sqrt.f64 2) x)
	30.3b	(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
✓	28.7b	(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))

Compiler

Compiled 468 to 399 computations (14.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) (/.f64 1 x))

Compiler

Compiled 15 to 12 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`rational.json-1`
1602×	`rational.json-2`
710×	`rational.json-simplify-13`
586×	`rational.json-simplify-5`
550×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	56	11
2	188	11
3	964	11
4	7182	11

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational.json-simplify-42`
912×	`rational.json-simplify-45`
842×	`rational.json-simplify-1`
752×	`rational.json-simplify-33`
726×	`rational.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	251	2220
1	838	1882
2	3699	1882

Stop Event

1×	node limit

Counts

140 → 134

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))

Compiler

Compiled 15 to 12 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`rational.json-1`
858×	`rational.json-simplify-13`
620×	`rational.json-simplify-5`
600×	`rational.json-simplify-43`
580×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	59	15
2	216	15
3	1061	15
4	7706	15

Stop Event

1×	node limit

Counts

1 → 112

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (/.f64 -1 x))

Outputs

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

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-13`
996×	`rational.json-simplify-43`
872×	`rational.json-simplify-14`
820×	`rational.json-simplify-28`
732×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2318
1	697	2290
2	2737	2084

Stop Event

1×	node limit

Counts

124 → 123

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
✓	0.5b	(/.f64 (/.f64 1 x) (sqrt.f64 2))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational.json-simplify-24`
838×	`rational.json-simplify-21`
700×	`rational.json-simplify-5`
642×	`rational.json-simplify-6`
628×	`rational.json-simplify-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	66	28
2	241	28
3	1399	28

Stop Event

1×	node limit

Counts

2 → 290

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-1`
824×	`rational.json-simplify-24`
648×	`rational.json-simplify-41`
590×	`rational.json-simplify-50`
544×	`rational.json-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	5086
1	1705	4910
2	7424	4908

Stop Event

1×	node limit

Counts

314 → 314

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 0)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 x) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 x) (/.f64 0 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2) 2))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1 (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
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(*.f64 (sqrt.f64 2) x)
(*.f64 x (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 1 (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 (/.f64 1 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 1/2 (.f64 x (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 2 (/.f64 1/2 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (/.f64 x -2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (neg.f64 x) (.f64 2 (*.f64 (sqrt.f64 2) -1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 (*.f64 (sqrt.f64 2) 2) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 2 (*.f64 (sqrt.f64 2) 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 2 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (+.f64 (.f64 (sqrt.f64 2) 2) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (/.f64 1 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 1 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (+.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (.f64 2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) 2) (*.f64 x 1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) 1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 1 (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 2 (/.f64 1/2 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 x x) (-.f64 (sqrt.f64 2) (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 4 (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 4 (.f64 1 (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 4 (-.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 4) (/.f64 2 (/.f64 2 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 4 (.f64 (sqrt.f64 2) (.f64 x 1/2))) (.f64 (sqrt.f64 2) x))
(.f64 -2 (/.f64 (.f64 x (sqrt.f64 2)) -2))
(*.f64 (sqrt.f64 2) x)
(.f64 -2 (/.f64 1/2 (/.f64 -1 (.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 -2 (.f64 1 (/.f64 (*.f64 x (sqrt.f64 2)) -2)))
(*.f64 (sqrt.f64 2) x)
(.f64 -2 (.f64 1 (/.f64 1/2 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 1/2 (/.f64 -1 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 1 (/.f64 1/2 (/.f64 -1 x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x -1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2))) -1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (neg.f64 x) x) (.f64 (sqrt.f64 2) -1/2))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
✓	0.8b	(-.f64 (.f64 x 3) (.f64 2 x))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (.f64 x 3) (.f64 2 x))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
0.0ms	x	@	-inf	(-.f64 (.f64 x 3) (.f64 2 x))
0.0ms	x	@	inf	(-.f64 (.f64 x 3) (.f64 2 x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational.json-simplify-2`
1006×	`rational.json-simplify-29`
986×	`rational.json-simplify-24`
720×	`rational.json-simplify-21`
658×	`rational.json-simplify-23`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	69	12
2	254	12
3	1367	12

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

Inputs
(-.f64 (.f64 x 3) (.f64 2 x))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (+.f64 (+.f64 x x) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 1/2 (-.f64 x (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 5) (+.f64 (+.f64 x x) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (neg.f64 (*.f64 x 11)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (+.f64 0 (neg.f64 (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (*.f64 1 (neg.f64 (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -5) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 11)) (*.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1/2) (*.f64 1/2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) (+.f64 (*.f64 x -2) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) (+.f64 (*.f64 x -2) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -4) 1/2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x 6) (*.f64 x -4)) (*.f64 x 11)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 11)) (+.f64 (*.f64 x 12) (*.f64 x 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 9) (*.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 11) (*.f64 x 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 x (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 x (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) (*.f64 x (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) (+.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (+.f64 x x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (*.f64 (sqrt.f64 2) (*.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (+.f64 0 (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (+.f64 (-.f64 x x) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (/.f64 (*.f64 x -5) (/.f64 1 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(*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 12)) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 12)) (/.f64 (neg.f64 (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -5)) (*.f64 x (*.f64 (sqrt.f64 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x x) 1/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sqrt.f64 2)) 1/2) (*.f64 1/2 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 0) 1/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (-.f64 x (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) (*.f64 (+.f64 x x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (*.f64 x (*.f64 (sqrt.f64 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 x (*.f64 (sqrt.f64 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -3)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 x -2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -3)) (*.f64 (sqrt.f64 2) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)) (*.f64 x (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 11)) (/.f64 (-.f64 (*.f64 x 6) (*.f64 x -4)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 4)) (*.f64 3 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 12)) (*.f64 (sqrt.f64 2) (*.f64 x 11)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -4)) (*.f64 (sqrt.f64 2) (*.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -5)) (*.f64 (sqrt.f64 2) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 x -6) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -4) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 x 12) (*.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 x 12) (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 11) (/.f64 -1 (sqrt.f64 2))) (/.f64 (*.f64 x 12) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 8) (/.f64 -1 (sqrt.f64 2))) (/.f64 (*.f64 x 9) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 10) (/.f64 -1 (sqrt.f64 2))) (/.f64 (*.f64 x 11) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (+.f64 x x) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 -1/2 x) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (*.f64 x (*.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x 6) (*.f64 x -4)) (*.f64 x 11)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 11)) (+.f64 (*.f64 x 12) (*.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 9) (*.f64 x 8)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 9) (*.f64 x 8)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 11) (*.f64 x 10)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 11) (*.f64 x 10)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 x -2) (+.f64 x x))) (*.f64 x (*.f64 (sqrt.f64 2) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-24`
1020×	`rational.json-simplify-1`
522×	`rational.json-simplify-43`
512×	`rational.json-simplify-48`
488×	`rational.json-simplify-28`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	1970
1	1172	1900
2	7493	1900

Stop Event

1×	node limit

Counts

206 → 194

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x 0)
(+.f64 x (-.f64 x x))
(+.f64 (.f64 x 3) (.f64 x -2))
(+.f64 (.f64 x 3) (+.f64 (+.f64 x x) (.f64 x -4)))
(+.f64 (+.f64 x x) (neg.f64 x))
(+.f64 0 x)
(+.f64 (neg.f64 x) (+.f64 x x))
(+.f64 (.f64 x 6) (.f64 x -5))
(+.f64 (.f64 x 6) (.f64 1/2 (-.f64 x (*.f64 x 11))))
(+.f64 (.f64 x 5) (+.f64 (+.f64 x x) (.f64 x -6)))
(+.f64 (.f64 x -3) (.f64 x 4))
(+.f64 (.f64 x -2) (.f64 x 3))
(+.f64 (-.f64 x x) x)
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (+.f64 0 (neg.f64 (.f64 x 11))))
(+.f64 (.f64 x 12) (.f64 1 (neg.f64 (*.f64 x 11))))
(+.f64 (.f64 x -5) (.f64 x 6))
(+.f64 (neg.f64 (.f64 x 11)) (.f64 x 12))
(+.f64 (.f64 (.f64 x 3) 1/2) (*.f64 1/2 (neg.f64 x)))
(+.f64 (.f64 x 9) (+.f64 (.f64 x -2) (*.f64 x -6)))
(+.f64 (.f64 x -6) (+.f64 (.f64 x -2) (*.f64 x 9)))
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
(+.f64 (.f64 (.f64 x -4) 1/2) (*.f64 x 3))
(*.f64 x 1)
(.f64 2 (.f64 x 1/2))
(*.f64 (+.f64 x x) 1/2)
(*.f64 1 x)
(*.f64 (neg.f64 x) -1)
(.f64 (.f64 x -2) -1/2)
(*.f64 -1 (neg.f64 x))
(.f64 -2 (.f64 1/2 (neg.f64 x)))
(.f64 (.f64 x 4) 1/4)
(*.f64 1/2 (+.f64 x x))
(.f64 -1/2 (.f64 x -2))
(.f64 4 (.f64 1/2 (*.f64 x 1/2)))
(.f64 (.f64 x -4) -1/4)
(/.f64 x 1)
(/.f64 2 (/.f64 (/.f64 1 x) 1/2))
(/.f64 (+.f64 x x) 2)
(/.f64 1 (/.f64 1 x))
(/.f64 (neg.f64 x) -1)
(/.f64 (*.f64 x -2) -2)
(/.f64 -1 (/.f64 -1 x))
(/.f64 1/2 (/.f64 1/2 x))
(/.f64 -1/2 (/.f64 -1/2 x))
(/.f64 (*.f64 x 1/2) 1/2)
(/.f64 1/4 (/.f64 1/4 x))
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) -1)
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) -1)
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) 1)
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) 1)
(/.f64 (-.f64 (-.f64 x x) x) -1)
(neg.f64 (neg.f64 x))
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(+.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 x (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 x (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) -2)))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (+.f64 x x) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 0 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (-.f64 x x) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 1 (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 3 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (/.f64 (*.f64 x -4) (/.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 (-.f64 x x)) (*.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))) (.f64 x (.f64 (sqrt.f64 2) 6)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (neg.f64 (.f64 x 11))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (/.f64 (neg.f64 (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(+.f64 (.f64 (.f64 3 (.f64 x (sqrt.f64 2))) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (.f64 (-.f64 x x) 1/2) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 0) 1/2) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 x (.f64 x -3)))))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(-.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (*.f64 (+.f64 x x) (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 x (.f64 (sqrt.f64 2) 5)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 x (.f64 (sqrt.f64 2) -3)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 11)) (/.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 4)) (.f64 3 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (.f64 x 11)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 (sqrt.f64 2) (.f64 x -6)))
(-.f64 (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x -4) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 x 12) (.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 12) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 9) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 10) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(/.f64 (*.f64 x (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 -1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 x x) (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (neg.f64 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 -1 (.f64 x (.f64 (sqrt.f64 2) -2))))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 -1/2 x))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2))) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))) (.f64 x (.f64 (sqrt.f64 2) -3))) -1)
(/.f64 (.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) -1)
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(+.f64 x 0)
x
(+.f64 x (-.f64 x x))
x
(+.f64 (.f64 x 3) (.f64 x -2))
x
(+.f64 (.f64 x 3) (+.f64 (+.f64 x x) (.f64 x -4)))
x
(+.f64 (+.f64 x x) (neg.f64 x))
x
(+.f64 0 x)
x
(+.f64 (neg.f64 x) (+.f64 x x))
x
(+.f64 (.f64 x 6) (.f64 x -5))
x
(+.f64 (.f64 x 6) (.f64 1/2 (-.f64 x (*.f64 x 11))))
x
(+.f64 (.f64 x 5) (+.f64 (+.f64 x x) (.f64 x -6)))
x
(+.f64 (.f64 x -3) (.f64 x 4))
x
(+.f64 (.f64 x -2) (.f64 x 3))
x
(+.f64 (-.f64 x x) x)
x
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 x 12) (+.f64 0 (neg.f64 (.f64 x 11))))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 x 12) (.f64 1 (neg.f64 (*.f64 x 11))))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 x -5) (.f64 x 6))
x
(+.f64 (neg.f64 (.f64 x 11)) (.f64 x 12))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 (.f64 x 3) 1/2) (*.f64 1/2 (neg.f64 x)))
x
(+.f64 (.f64 x 9) (+.f64 (.f64 x -2) (*.f64 x -6)))
x
(+.f64 (.f64 x -6) (+.f64 (.f64 x -2) (*.f64 x 9)))
x
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
x
(+.f64 (.f64 (.f64 x -4) 1/2) (*.f64 x 3))
x
(*.f64 x 1)
x
(.f64 2 (.f64 x 1/2))
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 1 x)
x
(*.f64 (neg.f64 x) -1)
x
(.f64 (.f64 x -2) -1/2)
x
(*.f64 -1 (neg.f64 x))
x
(.f64 -2 (.f64 1/2 (neg.f64 x)))
x
(.f64 (.f64 x 4) 1/4)
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 -1/2 (.f64 x -2))
x
(.f64 4 (.f64 1/2 (*.f64 x 1/2)))
x
(.f64 (.f64 x -4) -1/4)
x
(/.f64 x 1)
x
(/.f64 2 (/.f64 (/.f64 1 x) 1/2))
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (*.f64 x -2) -2)
x
(/.f64 -1 (/.f64 -1 x))
x
(/.f64 1/2 (/.f64 1/2 x))
x
(/.f64 -1/2 (/.f64 -1/2 x))
x
(/.f64 (*.f64 x 1/2) 1/2)
x
(/.f64 1/4 (/.f64 1/4 x))
x
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) -1)
x
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) -1)
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) 1)
x
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) 1)
x
(/.f64 (-.f64 (-.f64 x x) x) -1)
x
(neg.f64 (neg.f64 x))
x
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 x (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 x (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) -2)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (+.f64 (neg.f64 (-.f64 x x)) (.f64 x (.f64 (sqrt.f64 2) -2))))
(+.f64 (-.f64 x x) (.f64 x (+.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) 3))))
(+.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (+.f64 x x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 0 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (-.f64 x x) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 1 (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 3 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) -2)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -3) (*.f64 (sqrt.f64 2) 4)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (/.f64 (*.f64 x -4) (/.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -3) (*.f64 (sqrt.f64 2) 4)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (neg.f64 (-.f64 x x)) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))) (.f64 x (.f64 (sqrt.f64 2) 6)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (neg.f64 (.f64 x 11))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (/.f64 (neg.f64 (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 3 (.f64 x (sqrt.f64 2))) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 3/2) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (-.f64 x x) 1/2) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 0) 1/2) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 x (.f64 x -3)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (*.f64 (+.f64 x x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 x (.f64 (sqrt.f64 2) 5)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 x (.f64 (sqrt.f64 2) -3)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) -3)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 11)) (/.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 4)) (.f64 3 (.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (.f64 x 11)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 (sqrt.f64 2) (.f64 x -6)))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x -4) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (+.f64 (.f64 x 12) (.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 12) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 9) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x 10) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 x (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 x (sqrt.f64 2))
(/.f64 1 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 -1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 x x) (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 2))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (neg.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 -1 (.f64 x (.f64 (sqrt.f64 2) -2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 -1/2 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2))) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))) (.f64 x (.f64 (sqrt.f64 2) -3))) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
✓	0.8b	(-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2250×	`rational.json-1`
1012×	`rational.json-simplify-67`
984×	`rational.json-2`
984×	`rational.json-4`
984×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	89	47
2	372	23
3	2652	23
4	7924	23

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))

Outputs

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(*.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (*.f64 (/.f64 1/2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (/.f64 1 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -2) (*.f64 x -2)) (/.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -2) (*.f64 x -2)) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (*.f64 x 7) (+.f64 x (*.f64 x 8))) (-.f64 (*.f64 x 7) (+.f64 x (*.f64 x 8)))) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x 1/2))) (/.f64 1/2 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))))))))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-24`
744×	`rational.json-simplify-5`
706×	`rational.json-simplify-28`
636×	`rational.json-simplify-50`
546×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	3633
1	1711	3435

Stop Event

1×	node limit

Counts

297 → 305

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (sqrt.f64 2)) 0)
(+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(+.f64 0 (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))
(+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 0) (/.f64 1 (sqrt.f64 2)))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(-.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(-.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(-.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 0) (.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(-.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(-.f64 0 (/.f64 -1 (sqrt.f64 2)))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(-.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(-.f64 (.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) 3))
(-.f64 (+.f64 (.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 2 (/.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(*.f64 2 (/.f64 1/2 (sqrt.f64 2)))
(*.f64 2 (+.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(*.f64 (/.f64 -1 (sqrt.f64 2)) -1)
(*.f64 1/2 (/.f64 2 (sqrt.f64 2)))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(*.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(.f64 4 (/.f64 1/2 (.f64 2 (sqrt.f64 2))))
(.f64 4 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))))
(.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 2)) -2))
(*.f64 (/.f64 2 (sqrt.f64 2)) 1/2)
(*.f64 -2 (neg.f64 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 -2 (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(*.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) -2)
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) -2) -1/2)
(.f64 (/.f64 1/2 (.f64 2 (sqrt.f64 2))) 4)
(*.f64 (/.f64 1/2 (neg.f64 (sqrt.f64 2))) -2)
(neg.f64 (/.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 3 x) (.f64 x -2))
(+.f64 (.f64 3 x) (-.f64 (.f64 x 5) (*.f64 x 7)))
(+.f64 (.f64 x 4) (.f64 x -3))
(+.f64 (*.f64 x 4) (/.f64 -1 (/.f64 1/3 x)))
(+.f64 x 0)
(+.f64 x (-.f64 x x))
(+.f64 x (.f64 (.f64 x 7) 0))
(+.f64 x (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
(+.f64 0 x)
(+.f64 (-.f64 x x) x)
(+.f64 (neg.f64 x) (+.f64 x x))
(+.f64 (.f64 x 8) (neg.f64 (.f64 x 7)))
(+.f64 (.f64 x 8) (.f64 x -7))
(+.f64 (.f64 x 8) (-.f64 (.f64 x 4) (+.f64 (.f64 3 x) (.f64 x 8))))
(+.f64 (+.f64 x x) (neg.f64 x))
(+.f64 (.f64 x -2) (.f64 3 x))
(+.f64 (.f64 x -3) (.f64 x 4))
(+.f64 (.f64 x 6) (.f64 x -5))
(+.f64 (.f64 (.f64 x 8) 2) (neg.f64 (+.f64 (.f64 x 8) (.f64 x 7))))
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
(+.f64 (neg.f64 (.f64 x 7)) (.f64 x 8))
(+.f64 (neg.f64 (+.f64 (.f64 x 8) (.f64 x 7))) (.f64 (.f64 x 8) 2))
(+.f64 (.f64 x -5) (.f64 x 6))
(+.f64 (.f64 (.f64 x 7) 0) x)
(+.f64 (-.f64 (.f64 x 5) (.f64 x 7)) (*.f64 3 x))
(+.f64 (.f64 x -7) (.f64 x 8))
(+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 3 x) (.f64 x 8))) (.f64 x 8))
(*.f64 1 x)
(.f64 2 (.f64 x 1/2))
(*.f64 x 1)
(*.f64 (neg.f64 x) -1)
(*.f64 (+.f64 x x) 1/2)
(*.f64 1/2 (+.f64 x x))
(.f64 1/2 (+.f64 x (.f64 (*.f64 x 4) 1/4)))
(.f64 (.f64 x -2) -1/2)
(*.f64 -1 (neg.f64 x))
(.f64 -1/2 (.f64 x -2))
(.f64 -1/2 (-.f64 (.f64 x 7) (+.f64 x (*.f64 x 8))))
(.f64 (.f64 x 1/2) 2)
(.f64 (-.f64 (.f64 x 7) (+.f64 x (*.f64 x 8))) -1/2)
(/.f64 1 (/.f64 1 x))
(/.f64 x 1)
(/.f64 (neg.f64 x) -1)
(/.f64 1/2 (/.f64 1/2 x))
(/.f64 (*.f64 x 1/2) 1/2)
(neg.f64 (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) 1/2) (*.f64 x -6)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (/.f64 (*.f64 x -6) (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (/.f64 -1 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 x 3/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x 4)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (/.f64 (*.f64 x -2) (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (sqrt.f64 2) (.f64 3 x)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))) (.f64 (sqrt.f64 2) (.f64 x 8)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 x 7))) (.f64 (sqrt.f64 2) (.f64 x 4)))
(+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 1/2)) (.f64 x (.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x -6)) (.f64 (sqrt.f64 2) (*.f64 x 4)))
(+.f64 (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 3 x)))
(+.f64 (/.f64 (.f64 x -2) (/.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(+.f64 (/.f64 x (/.f64 2 (sqrt.f64 2))) (/.f64 x (/.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 x -6) (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 4)))
(-.f64 (.f64 3 x) (+.f64 (.f64 3 x) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(-.f64 (.f64 3 x) (+.f64 (.f64 3 x) (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))))
(-.f64 x (+.f64 x (*.f64 (sqrt.f64 2) (neg.f64 x))))
(-.f64 x (+.f64 x (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(-.f64 (*.f64 (sqrt.f64 2) x) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(-.f64 (*.f64 (sqrt.f64 2) x) (/.f64 1 (/.f64 (/.f64 -1 (sqrt.f64 2)) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(-.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))))
(-.f64 (-.f64 x x) (/.f64 1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(-.f64 (-.f64 x x) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0)))
(-.f64 (-.f64 x x) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(-.f64 (-.f64 x x) (+.f64 (-.f64 x x) (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))))
(-.f64 (-.f64 x x) (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x)))
(-.f64 (-.f64 x x) (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (-.f64 x x)))
(-.f64 (-.f64 x x) (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (-.f64 x x) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (-.f64 x x) (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (-.f64 x x) (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (-.f64 x x) (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (-.f64 x x) (+.f64 0 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 3 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 2 (.f64 (sqrt.f64 2) x))))
(-.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (/.f64 1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x 4) (*.f64 x -2))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (-.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 (.f64 x 8) 2) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 x 8) (.f64 x 7)) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 3 x) (/.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 8) (.f64 x 7))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5)) (.f64 (.f64 3 x) (.f64 (sqrt.f64 2) 1/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8))) (.f64 (.f64 x 7) (.f64 (sqrt.f64 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) (+.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (.f64 2 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (*.f64 x 7))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (*.f64 x -4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) 0)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -4))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 2 (.f64 (sqrt.f64 2) x)))))
(-.f64 (+.f64 (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 (sqrt.f64 2) (.f64 x 7))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x 4) (*.f64 x -2)))))
(-.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (-.f64 x x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (-.f64 x x))) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (-.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x 7))))
(-.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 x x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 x x))) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x -4))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 x 8) 2) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 (.f64 x 8) 2) (/.f64 1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 (.f64 x 8) 2) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 x 8) (.f64 x 7)) (/.f64 1 (sqrt.f64 2)))))
(-.f64 (+.f64 (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2)))))
(-.f64 (+.f64 (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 3 x) (/.f64 2 (sqrt.f64 2)))))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2)))) (+.f64 (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 2 (sqrt.f64 2)))))
(-.f64 (+.f64 (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 8) (.f64 x 7)))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5)) (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5))) (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5)) (.f64 (.f64 3 x) (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8))) (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8))) (.f64 (.f64 x 7) (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2) (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (*.f64 x 7)))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2) (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (*.f64 x -4)))))
(-.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 3 x))) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) x) (.f64 3 x)) (*.f64 x -3))
(-.f64 (-.f64 (*.f64 (sqrt.f64 2) x) x) (neg.f64 x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) x) (.f64 x -3)) (*.f64 3 x))
(.f64 1 (.f64 (sqrt.f64 2) x))
(.f64 2 (/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) x))))
(.f64 2 (-.f64 (.f64 (sqrt.f64 2) x) (/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) x)))))
(.f64 2 (/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 x 1/2))))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 2 (sqrt.f64 2)) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 x 7) (.f64 x 6)) (.f64 (*.f64 x 6) 2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 x 8) (.f64 x 7)) (.f64 (*.f64 x 7) 2)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x 3/2) 2) (.f64 x -2)))
(.f64 (.f64 x 4) (/.f64 1/2 (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 x 4) (-.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 (/.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 4)) 1/4)
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(.f64 (neg.f64 x) (.f64 -2 (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (neg.f64 x) (.f64 2 (*.f64 (sqrt.f64 2) -1/2)))
(.f64 (neg.f64 x) (-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (.f64 2 (sqrt.f64 2)) 2)))
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(.f64 1/2 (.f64 2 (*.f64 (sqrt.f64 2) x)))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (.f64 x -6) (/.f64 -1 (sqrt.f64 2)))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/3 x))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (*.f64 x 6))))
(.f64 1/2 (+.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2)))))
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(.f64 (.f64 x -2) (*.f64 (sqrt.f64 2) -1/2))
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))
(.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (+.f64 x x) (/.f64 1/2 (/.f64 1/3 x))))
(.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 (/.f64 1/2 (*.f64 x 1/2))))
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 x 4) (.f64 x -2)) (.f64 x 7)))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 x 8) (.f64 x -6)) (+.f64 (.f64 x 8) (*.f64 x 7))))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 x 7) (-.f64 (+.f64 x (*.f64 x 8)) x)))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (neg.f64 (.f64 x 7)) (neg.f64 (*.f64 x 6))))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (neg.f64 (.f64 x 8)) (neg.f64 (*.f64 x 7))))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 (.f64 x 7) 1/2) (.f64 1/2 (+.f64 x (*.f64 x 8)))))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 x 8) 2) (+.f64 (.f64 x 8) (.f64 x 7))) (+.f64 (.f64 (.f64 x 8) 2) (.f64 (*.f64 x 8) 2))))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 x 3/2) (.f64 1/2 (.f64 x 5))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(.f64 -1/2 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 2))
(.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)) 1/2)
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 x 7) (+.f64 x (.f64 x 8))) (.f64 (sqrt.f64 2) -1/2))
(*.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(.f64 (.f64 (sqrt.f64 2) -1/2) (*.f64 x -2))
(.f64 (.f64 (sqrt.f64 2) -1/2) (-.f64 (.f64 x 7) (+.f64 x (.f64 x 8))))
(.f64 (.f64 -2 (*.f64 (sqrt.f64 2) 1/2)) (neg.f64 x))
(.f64 (.f64 2 (*.f64 (sqrt.f64 2) -1/2)) (neg.f64 x))
(.f64 (/.f64 1/2 (/.f64 2 (sqrt.f64 2))) (.f64 x 4))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 1/2 (neg.f64 (/.f64 1 x))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 1/2 (/.f64 -1 x)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 1/2 (/.f64 -1/2 (.f64 x 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 2) -1/2)
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (.f64 (/.f64 1/2 x) 4)))
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (/.f64 1 (.f64 x 1/2))))
(.f64 (/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) x))) 2)
(*.f64 (/.f64 1/2 (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))
(.f64 (+.f64 (.f64 x -2) (.f64 x -2)) (/.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 2)) -2)))
(.f64 (+.f64 (.f64 x -2) (*.f64 x -2)) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))
(.f64 (+.f64 (-.f64 (.f64 x 7) (+.f64 x (.f64 x 8))) (-.f64 (.f64 x 7) (+.f64 x (*.f64 x 8)))) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))) -1/2)
(.f64 (+.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (*.f64 x 1/2))) (/.f64 1/2 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(+.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(/.f64 1 (sqrt.f64 2))
(+.f64 0 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 0) (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 0) (.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(-.f64 0 (/.f64 -1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 -1/2 (sqrt.f64 2)))
(-.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) 3))
(/.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 (.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 2 (/.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(/.f64 1 (sqrt.f64 2))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 2 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 2 (+.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 -1 (sqrt.f64 2)) -1)
(/.f64 1 (sqrt.f64 2))
(*.f64 1/2 (/.f64 2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(/.f64 1 (sqrt.f64 2))
(*.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(.f64 4 (/.f64 1/2 (.f64 2 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(.f64 4 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))))
(/.f64 1 (sqrt.f64 2))
(.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 2)) -2))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 2 (sqrt.f64 2)) 1/2)
(/.f64 1 (sqrt.f64 2))
(*.f64 -2 (neg.f64 (/.f64 1/2 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(*.f64 -2 (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) -2)
(/.f64 1 (sqrt.f64 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) -2) -1/2)
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1/2 (.f64 2 (sqrt.f64 2))) 4)
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1/2 (neg.f64 (sqrt.f64 2))) -2)
(/.f64 1 (sqrt.f64 2))
(neg.f64 (/.f64 -1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (.f64 3 x) (.f64 x -2))
x
(+.f64 (.f64 3 x) (-.f64 (.f64 x 5) (*.f64 x 7)))
x
(+.f64 (.f64 x 4) (.f64 x -3))
x
(+.f64 (*.f64 x 4) (/.f64 -1 (/.f64 1/3 x)))
x
(+.f64 x 0)
x
(+.f64 x (-.f64 x x))
x
(+.f64 x (.f64 (.f64 x 7) 0))
x
(+.f64 x (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
x
(+.f64 0 x)
x
(+.f64 (-.f64 x x) x)
x
(+.f64 (neg.f64 x) (+.f64 x x))
x
(+.f64 (.f64 x 8) (neg.f64 (.f64 x 7)))
x
(+.f64 (.f64 x 8) (.f64 x -7))
x
(+.f64 (.f64 x 8) (-.f64 (.f64 x 4) (+.f64 (.f64 3 x) (.f64 x 8))))
x
(+.f64 (+.f64 x x) (neg.f64 x))
x
(+.f64 (.f64 x -2) (.f64 3 x))
x
(+.f64 (.f64 x -3) (.f64 x 4))
x
(+.f64 (.f64 x 6) (.f64 x -5))
x
(+.f64 (.f64 (.f64 x 8) 2) (neg.f64 (+.f64 (.f64 x 8) (.f64 x 7))))
x
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
x
(+.f64 (neg.f64 (.f64 x 7)) (.f64 x 8))
x
(+.f64 (neg.f64 (+.f64 (.f64 x 8) (.f64 x 7))) (.f64 (.f64 x 8) 2))
x
(+.f64 (.f64 x -5) (.f64 x 6))
x
(+.f64 (.f64 (.f64 x 7) 0) x)
x
(+.f64 (-.f64 (.f64 x 5) (.f64 x 7)) (*.f64 3 x))
x
(+.f64 (.f64 x -7) (.f64 x 8))
x
(+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 3 x) (.f64 x 8))) (.f64 x 8))
x
(*.f64 1 x)
x
(.f64 2 (.f64 x 1/2))
x
(*.f64 x 1)
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 1/2 (+.f64 x (.f64 (*.f64 x 4) 1/4)))
x
(.f64 (.f64 x -2) -1/2)
x
(*.f64 -1 (neg.f64 x))
x
(.f64 -1/2 (.f64 x -2))
x
(.f64 -1/2 (-.f64 (.f64 x 7) (+.f64 x (*.f64 x 8))))
x
(.f64 (.f64 x 1/2) 2)
x
(.f64 (-.f64 (.f64 x 7) (+.f64 x (*.f64 x 8))) -1/2)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 x 1)
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 1/2 (/.f64 1/2 x))
x
(/.f64 (*.f64 x 1/2) 1/2)
x
(neg.f64 (neg.f64 x))
x
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(-.f64 (+.f64 (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x 7) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x 5) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 3 x) (/.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2)))) (+.f64 (/.f64 (+.f64 x (.f64 x 8)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 x 7) (/.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 x 8) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 8) (.f64 x 7)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5)) (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5))) (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 x 5)) (.f64 (.f64 3 x) (.f64 (sqrt.f64 2) 1/2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8))) (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x (.f64 x 8))) (.f64 (.f64 x 7) (.f64 (sqrt.f64 2) 1/2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2) (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (*.f64 x 7)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2) (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (*.f64 x -4)))))
(-.f64 (.f64 2 (.f64 x (.f64 (sqrt.f64 2) -3))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (*.f64 (sqrt.f64 2) -4))))
(-.f64 (.f64 x (.f64 2 (.f64 (sqrt.f64 2) -3))) (.f64 (sqrt.f64 2) (+.f64 (.f64 x -3) (.f64 x -4))))
(-.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 3 x))) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 x (.f64 (sqrt.f64 2) -4)))
(-.f64 (-.f64 (-.f64 x x) (.f64 x (.f64 (sqrt.f64 2) -4))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) x) (.f64 3 x)) (*.f64 x -3))
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) -3)) (.f64 x 3))
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
(-.f64 (-.f64 (*.f64 (sqrt.f64 2) x) x) (neg.f64 x))
(*.f64 x (sqrt.f64 2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) x) (.f64 x -3)) (*.f64 3 x))
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) -3)) (.f64 x 3))
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
(.f64 1 (.f64 (sqrt.f64 2) x))
(*.f64 x (sqrt.f64 2))
(.f64 2 (/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(.f64 2 (-.f64 (.f64 (sqrt.f64 2) x) (/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) x)))))
(*.f64 x (sqrt.f64 2))
(.f64 2 (/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 x 1/2))))
(*.f64 x (sqrt.f64 2))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 2 (sqrt.f64 2)) (+.f64 x x))))
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 x 7) (.f64 x 6)) (.f64 (*.f64 x 6) 2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 x 7) (.f64 x 6)) (.f64 2 (*.f64 x 6))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 13) (*.f64 x 12)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 x 8) (.f64 x 7)) (.f64 (*.f64 x 7) 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x 3/2) 2) (.f64 x -2)))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x 4) (/.f64 1/2 (/.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x 4) (-.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 (/.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 4)) 1/4)
(*.f64 x (sqrt.f64 2))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 x) (.f64 -2 (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 x) (.f64 2 (*.f64 (sqrt.f64 2) -1/2)))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 x) (-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (.f64 2 (sqrt.f64 2)) 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(*.f64 x (sqrt.f64 2))
(.f64 1/2 (.f64 2 (*.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (.f64 x -6) (/.f64 -1 (sqrt.f64 2)))))
(.f64 -1/2 (-.f64 (.f64 (.f64 x -6) (neg.f64 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) 8))))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 6) (.f64 x 8))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/3 x))))
(.f64 -1/2 (-.f64 (.f64 (.f64 x -6) (neg.f64 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) 8))))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 6) (.f64 x 8))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (*.f64 x 6))))
(.f64 -1/2 (-.f64 (.f64 (.f64 x -6) (neg.f64 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) 8))))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 6) (.f64 x 8))))
(.f64 1/2 (+.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2)))))
(.f64 1/2 (+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (.f64 -6 (/.f64 x (/.f64 1 (sqrt.f64 2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x 8))) (/.f64 (sqrt.f64 2) (/.f64 -1/3 x)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x -2) (*.f64 (sqrt.f64 2) -1/2))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (+.f64 x x) (/.f64 1/2 (/.f64 1/3 x))))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 (/.f64 1/2 (*.f64 x 1/2))))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 x 4) (.f64 x -2)) (.f64 x 7)))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 x 8) (.f64 x -6)) (+.f64 (.f64 x 8) (*.f64 x 7))))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 x 7) (-.f64 (+.f64 x (*.f64 x 8)) x)))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (neg.f64 (.f64 x 7)) (neg.f64 (*.f64 x 6))))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (neg.f64 (.f64 x 8)) (neg.f64 (*.f64 x 7))))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 (.f64 x 7) 1/2) (.f64 1/2 (+.f64 x (*.f64 x 8)))))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 x 8) 2) (+.f64 (.f64 x 8) (.f64 x 7))) (+.f64 (.f64 (.f64 x 8) 2) (.f64 (*.f64 x 8) 2))))
(*.f64 x (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 x 3/2) (.f64 1/2 (.f64 x 5))))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 x (sqrt.f64 2))
(.f64 -1/2 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 2))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)) 1/2)
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (-.f64 (.f64 x 7) (+.f64 x (.f64 x 8))) (.f64 (sqrt.f64 2) -1/2))
(*.f64 x (sqrt.f64 2))
(*.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) -1/2) (*.f64 x -2))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) -1/2) (-.f64 (.f64 x 7) (+.f64 x (.f64 x 8))))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 -2 (*.f64 (sqrt.f64 2) 1/2)) (neg.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 2 (*.f64 (sqrt.f64 2) -1/2)) (neg.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (/.f64 1/2 (/.f64 2 (sqrt.f64 2))) (.f64 x 4))
(*.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 1/2 (neg.f64 (/.f64 1 x))))
(*.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 1/2 (/.f64 -1 x)))
(*.f64 x (sqrt.f64 2))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 1/2 (/.f64 -1/2 (.f64 x 1/2))))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 2) -1/2)
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (.f64 (/.f64 1/2 x) 4)))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (/.f64 2 x)))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (/.f64 1/2 (/.f64 1 (.f64 x 1/2))))
(*.f64 x (sqrt.f64 2))
(.f64 (/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) x))) 2)
(*.f64 x (sqrt.f64 2))
(*.f64 (/.f64 1/2 (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))
(*.f64 x (sqrt.f64 2))
(.f64 (+.f64 (.f64 x -2) (.f64 x -2)) (/.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 2)) -2)))
(*.f64 x (sqrt.f64 2))
(.f64 (+.f64 (.f64 x -2) (*.f64 x -2)) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(.f64 (+.f64 (-.f64 (.f64 x 7) (+.f64 x (.f64 x 8))) (-.f64 (.f64 x 7) (+.f64 x (*.f64 x 8)))) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))) (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x)))) -1/2)
(*.f64 x (sqrt.f64 2))
(.f64 (+.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (*.f64 x 1/2))) (/.f64 1/2 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 x))))
(*.f64 x (sqrt.f64 2))

eval346.0ms (4.5%)

Compiler: Compiled 14055 to 11372 computations (19.1% saved)

prune325.0ms (4.2%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1061	9	1070
Fresh	6	8	14
Picked	1	0	1
Done	1	6	7
Total	1069	23	1092

Error

0.0b

Counts

1092 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
	30.3b	(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))
	32.8b	(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
	30.5b	(/.f64 (+.f64 (.f64 x 4) (.f64 x -3)) (/.f64 1 (sqrt.f64 2)))
✓	30.2b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
✓	32.7b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))
✓	30.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
▶	30.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
	32.7b	(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
	32.7b	(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
▶	32.7b	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
▶	30.3b	(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
	30.4b	(-.f64 (.f64 x (-.f64 (sqrt.f64 2) -3)) (.f64 x 3))
	33.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
	32.7b	(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
▶	32.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
	32.8b	(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 x (*.f64 x 3)))
	30.4b	(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
▶	32.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
✓	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.2b	(*.f64 (sqrt.f64 2) x)
	30.3b	(.f64 x (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 (sqrt.f64 2) 4)))
✓	28.7b	(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))

Compiler

Compiled 445 to 381 computations (14.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
✓	0.5b	(/.f64 (/.f64 1/2 (sqrt.f64 2)) x)
✓	1.0b	(/.f64 1/2 (sqrt.f64 2))

Compiler

Compiled 24 to 21 computations (12.5% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`rational.json-simplify-21`
706×	`rational.json-simplify-28`
664×	`rational.json-simplify-24`
656×	`rational.json-simplify-6`
632×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	65	39
2	244	39
3	1311	39

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

simplify132.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational.json-simplify-63`
1152×	`rational.json-simplify-1`
692×	`rational.json-simplify-57`
642×	`rational.json-simplify-24`
430×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	3966
1	1090	3708
2	6052	3706

Stop Event

1×	node limit

Counts

238 → 235

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 x -1/2))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational.json-1`
1132×	`rational.json-2`
1132×	`rational.json-3`
1126×	`rational.json-4`
594×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	51	17
2	139	17
3	647	17
4	5350	17

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 x -1/2))

Outputs

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

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1532×	`rational.json-simplify-21`
1372×	`rational.json-simplify-23`
1056×	`rational.json-simplify-1`
814×	`rational.json-simplify-29`
586×	`rational.json-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	273	3211
1	1073	3023
2	5226	3023

Stop Event

1×	node limit

Counts

135 → 156

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
✓	0.8b	(-.f64 (.f64 x 3) (.f64 4 x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (.f64 x 3) (.f64 4 x))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
0.0ms	x	@	inf	(-.f64 (.f64 x 3) (.f64 4 x))
0.0ms	x	@	-inf	(-.f64 (.f64 x 3) (.f64 4 x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`rational.json-simplify-29`
1008×	`rational.json-simplify-24`
830×	`rational.json-simplify-21`
742×	`rational.json-simplify-23`
662×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	74	22
2	258	20
3	1401	20

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

Inputs
(-.f64 (.f64 x 3) (.f64 4 x))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 1 (*.f64 0 (-.f64 (neg.f64 x) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 x (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -8) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 x -7) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 x 12) (*.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 x 12) (*.f64 x 13)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 -1 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x -2) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 13) (*.f64 x 14)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 13) (*.f64 x 14)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 15 (/.f64 1 x)) (*.f64 (*.f64 x 8) 2)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 15 (/.f64 1 x)) (*.f64 (*.f64 x 8) 2)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x 3) (*.f64 x -5)) (*.f64 x 7)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x 6) (*.f64 x -8)) (*.f64 x 13)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 13)) (+.f64 (*.f64 x 12) (*.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 x (neg.f64 (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 (sqrt.f64 2) (*.f64 x -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 x 3) (*.f64 x -5))) (*.f64 (sqrt.f64 2) (*.f64 x 7))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -7)) (*.f64 (sqrt.f64 2) (*.f64 x -8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 4 (sqrt.f64 2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) (neg.f64 x)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (sqrt.f64 2)))))))

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational.json-simplify-63`
732×	`rational.json-simplify-1`
686×	`rational.json-simplify-69`
510×	`rational.json-simplify-67`
484×	`rational.json-simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	314	2671
1	1112	2511
2	5693	2511

Stop Event

1×	node limit

Counts

179 → 179

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 x (-.f64 (sqrt.f64 2) 3))
✓	0.5b	(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))

Compiler

Compiled 30 to 25 computations (16.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
0.0ms	x	@	0	(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
0.0ms	x	@	inf	(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
0.0ms	x	@	-inf	(*.f64 x (-.f64 (sqrt.f64 2) 3))
0.0ms	x	@	0	(*.f64 x (-.f64 (sqrt.f64 2) 3))

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`rational.json-simplify-23`
650×	`rational.json-simplify-42`
646×	`rational.json-1`
646×	`rational.json-2`
644×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	76	40
2	260	28
3	1463	28

Stop Event

1×	node limit

Counts

2 → 279

Calls

Call 1

Inputs
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
(*.f64 x (-.f64 (sqrt.f64 2) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) (/.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) (*.f64 x (-.f64 (*.f64 (sqrt.f64 2) 0) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) (-.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (*.f64 x (+.f64 (sqrt.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x 1/3) (*.f64 x (+.f64 (sqrt.f64 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 2 (+.f64 (sqrt.f64 2) -3))) (*.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 2 (+.f64 (sqrt.f64 2) -3))) (*.f64 1/2 (-.f64 (*.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)) (*.f64 x (-.f64 (sqrt.f64 2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 (*.f64 (sqrt.f64 2) 0) -3)) (*.f64 x (+.f64 (sqrt.f64 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 3 (sqrt.f64 2))) (*.f64 x (-.f64 (*.f64 2 (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 3 (sqrt.f64 2))) (*.f64 -1 (*.f64 x (-.f64 -3 (*.f64 2 (+.f64 (sqrt.f64 2) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) (*.f64 x (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 2) -3) (*.f64 (+.f64 x x) 2)) (neg.f64 (+.f64 (*.f64 x -3) (*.f64 x (*.f64 (+.f64 (sqrt.f64 2) -3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 2) -3) (*.f64 (+.f64 x x) 2)) (*.f64 1 (neg.f64 (+.f64 (*.f64 x -3) (*.f64 x (*.f64 (+.f64 (sqrt.f64 2) -3) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (sqrt.f64 2) 3)) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)) (*.f64 x (*.f64 2 (+.f64 (sqrt.f64 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 x -3) (*.f64 x (*.f64 (+.f64 (sqrt.f64 2) -3) 3)))) (*.f64 (+.f64 (sqrt.f64 2) -3) (*.f64 (+.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x -3)) (*.f64 x (+.f64 (sqrt.f64 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) 1/2) (*.f64 1/2 (*.f64 x (+.f64 (sqrt.f64 2) (-.f64 (*.f64 (sqrt.f64 2) 0) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) 1/2) (*.f64 1/2 (*.f64 x (+.f64 (sqrt.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sqrt.f64 2)) 1/2) (*.f64 1/2 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 (sqrt.f64 2) 3)) 1/2) (*.f64 1/2 (*.f64 x (+.f64 (sqrt.f64 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (*.f64 2 (+.f64 (sqrt.f64 2) -3)) (-.f64 (sqrt.f64 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (+.f64 (sqrt.f64 2) -3) (-.f64 (*.f64 (sqrt.f64 2) 0) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (-.f64 (sqrt.f64 2) 6)) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 (*.f64 x -3) (*.f64 x (*.f64 (+.f64 (sqrt.f64 2) -3) 3))) (*.f64 (*.f64 x (-.f64 (sqrt.f64 2) 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (sqrt.f64 2) -3) -3) (*.f64 2 (+.f64 (sqrt.f64 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (*.f64 (sqrt.f64 2) 3) (*.f64 (*.f64 2 (sqrt.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 3 (-.f64 (sqrt.f64 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (+.f64 (sqrt.f64 2) 3) (-.f64 (*.f64 2 (sqrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (+.f64 (sqrt.f64 2) -3) (-.f64 (*.f64 2 (+.f64 (sqrt.f64 2) -3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (+.f64 3 (*.f64 (sqrt.f64 2) 3)) (-.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 -1 (-.f64 3 (-.f64 3 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (*.f64 2 (neg.f64 (sqrt.f64 2))) (-.f64 3 (-.f64 3 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (-.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 2))))))) 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simplify896.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

776×	`rational.json-simplify-24`
618×	`rational.json-simplify-5`
558×	`rational.json-simplify-2`
516×	`rational.json-simplify-13`
510×	`rational.json-simplify-27`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	576	9271
1	2145	7981

Stop Event

1×	node limit

Counts

303 → 407

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
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(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 6)) (.f64 x -3))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 1/2 (+.f64 (/.f64 x 1/3) (*.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))))))
(-.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 2 (*.f64 x (-.f64 3 (sqrt.f64 2)))))
(-.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 (neg.f64 x) (*.f64 2 (+.f64 (sqrt.f64 2) -3))))
(-.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 (-.f64 3 (sqrt.f64 2)) (+.f64 x x)))
(-.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 -1 (.f64 x (.f64 2 (+.f64 (sqrt.f64 2) -3)))))
(-.f64 (-.f64 x x) (*.f64 x (-.f64 3 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (-.f64 3 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 x (+.f64 (sqrt.f64 2) 3)))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 x (-.f64 -3 (*.f64 2 (+.f64 (sqrt.f64 2) -3)))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) 3) (/.f64 -1 x)))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 x) (-.f64 (*.f64 2 (sqrt.f64 2)) 3)))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 x x))) (/.f64 x 1/3)))
(-.f64 (.f64 x -6) (.f64 x (-.f64 -3 (sqrt.f64 2))))
(-.f64 (*.f64 x -6) (/.f64 (+.f64 -3 (neg.f64 (sqrt.f64 2))) (/.f64 1 x)))
(-.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2)) (.f64 x (.f64 (+.f64 (sqrt.f64 2) -3) 3)))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) (.f64 x (-.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 6))))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) (.f64 x 6))
(-.f64 (-.f64 (.f64 x -3) (.f64 (sqrt.f64 2) 0)) (*.f64 x (neg.f64 (sqrt.f64 2))))
(-.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3))) (/.f64 x 1/3))
(-.f64 (.f64 x (-.f64 (.f64 2 (sqrt.f64 2)) 3)) (*.f64 x (sqrt.f64 2)))
(-.f64 (.f64 x (+.f64 3 (.f64 (sqrt.f64 2) 3))) (/.f64 (-.f64 (*.f64 2 (sqrt.f64 2)) (-.f64 (-.f64 (sqrt.f64 2) 6) (sqrt.f64 2))) (/.f64 1 x)))
(-.f64 (.f64 x (+.f64 3 (.f64 (sqrt.f64 2) 3))) (.f64 x (-.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (-.f64 (sqrt.f64 2) 6) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 x x) 2)) (.f64 x (+.f64 3 (.f64 (sqrt.f64 2) 3))))
(-.f64 (.f64 x (-.f64 -3 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 x (-.f64 -3 (*.f64 2 (+.f64 (sqrt.f64 2) -3))))))
(-.f64 (.f64 x 6) (+.f64 (/.f64 x 1/3) (.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x))))
(-.f64 (.f64 (.f64 x -6) 2) (+.f64 (.f64 x -6) (.f64 x (-.f64 -3 (sqrt.f64 2)))))
(-.f64 (.f64 (.f64 x (-.f64 (sqrt.f64 2) 6)) 2) (+.f64 (.f64 x (-.f64 (sqrt.f64 2) 6)) (.f64 x -3)))
(-.f64 (.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) 2) (+.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) (.f64 x (-.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 6)))))
(-.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2)) (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2))) (+.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2)) (.f64 x (.f64 (+.f64 (sqrt.f64 2) -3) 3))))
(-.f64 (/.f64 (+.f64 -3 (neg.f64 (sqrt.f64 2))) (/.f64 1 x)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(-.f64 (/.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (.f64 2 (sqrt.f64 2)) 2)) (/.f64 1 x)) (/.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (+.f64 3 (*.f64 (sqrt.f64 2) 3))) (/.f64 1 x)))
(-.f64 (/.f64 (+.f64 3 (.f64 (sqrt.f64 2) 3)) (/.f64 -1 x)) (/.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 2) 3) 2) (/.f64 -1 x)) (/.f64 (+.f64 3 (.f64 (sqrt.f64 2) 3)) (/.f64 -1 x)))
(-.f64 (/.f64 12 (/.f64 -1 x)) (/.f64 (+.f64 (+.f64 (sqrt.f64 2) 3) 6) (/.f64 -1 x)))
(-.f64 (.f64 (.f64 x (-.f64 (sqrt.f64 2) 6)) 1/2) (.f64 1/2 (.f64 x (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 x (-.f64 3 (sqrt.f64 2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 x (-.f64 3 (sqrt.f64 2))))
(-.f64 (.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) -1) (.f64 (sqrt.f64 2) (.f64 x -2)))
(-.f64 (.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) 1/2) (*.f64 1/2 (/.f64 x 1/3)))
(-.f64 (.f64 (-.f64 (.f64 2 (sqrt.f64 2)) 3) x) (*.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (.f64 2 (+.f64 (sqrt.f64 2) -3)) 2) x) (.f64 x (*.f64 (+.f64 (sqrt.f64 2) -3) 3)))
(-.f64 (.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (.f64 2 (sqrt.f64 2)) 2)) x) (.f64 x (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (+.f64 3 (*.f64 (sqrt.f64 2) 3)))))
(-.f64 (.f64 (.f64 (+.f64 x x) 2) (+.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (+.f64 (sqrt.f64 2) -3) 3)))
(-.f64 (.f64 (+.f64 3 (.f64 (sqrt.f64 2) 3)) (neg.f64 x)) (.f64 (neg.f64 x) (.f64 (*.f64 2 (sqrt.f64 2)) 2)))
(-.f64 (.f64 (.f64 (+.f64 (sqrt.f64 2) 3) 2) (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 3 (.f64 (sqrt.f64 2) 3))))
(-.f64 (.f64 12 (neg.f64 x)) (.f64 (neg.f64 x) (+.f64 (+.f64 (sqrt.f64 2) 3) 6)))
(-.f64 (.f64 (.f64 x 6) -1) (*.f64 x (-.f64 -3 (sqrt.f64 2))))
(-.f64 (.f64 (.f64 x (.f64 (+.f64 (sqrt.f64 2) -3) 3)) 1/2) (.f64 1/2 (*.f64 x (+.f64 (sqrt.f64 2) -3))))
(-.f64 (.f64 (.f64 x (+.f64 (+.f64 (sqrt.f64 2) -3) (.f64 2 (sqrt.f64 2)))) 1/2) (.f64 1/2 (*.f64 x (+.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 x x) 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 x x) 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 x x) 2)) (.f64 x (+.f64 3 (.f64 (sqrt.f64 2) 3)))))
(-.f64 (+.f64 (-.f64 (.f64 x -3) (.f64 (sqrt.f64 2) 0)) (-.f64 (.f64 x -3) (.f64 (sqrt.f64 2) 0))) (+.f64 (-.f64 (.f64 x -3) (.f64 (sqrt.f64 2) 0)) (*.f64 x (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3))) (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3)))) (+.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3))) (/.f64 x 1/3)))
(-.f64 (+.f64 (.f64 x (-.f64 -3 (sqrt.f64 2))) (.f64 x (-.f64 -3 (sqrt.f64 2)))) (+.f64 (.f64 x (-.f64 -3 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -2))))
(/.f64 x (/.f64 1 (+.f64 (sqrt.f64 2) -3)))
(/.f64 x (neg.f64 (/.f64 1 (-.f64 3 (sqrt.f64 2)))))
(/.f64 (+.f64 (sqrt.f64 2) -3) (/.f64 1 x))
(/.f64 (+.f64 (sqrt.f64 2) -3) (neg.f64 (/.f64 -1 x)))
(/.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) 1)
(/.f64 1 (/.f64 -1 (*.f64 x (-.f64 3 (sqrt.f64 2)))))
(/.f64 (neg.f64 x) (/.f64 1 (-.f64 3 (sqrt.f64 2))))
(/.f64 (-.f64 3 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 -1 (/.f64 1 (*.f64 x (-.f64 3 (sqrt.f64 2)))))
(/.f64 (*.f64 x (-.f64 3 (sqrt.f64 2))) -1)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -3)) 1/2))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 2) -3)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (sqrt.f64 2) -3)) x))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 2) -3)))
(/.f64 1/2 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -3)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (+.f64 (sqrt.f64 2) -3))))
(/.f64 1/2 (/.f64 1 (.f64 x (.f64 2 (+.f64 (sqrt.f64 2) -3)))))
(/.f64 1/2 (/.f64 -1 (.f64 2 (.f64 x (-.f64 3 (sqrt.f64 2))))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) -3) 1/2) (/.f64 1/2 x))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (+.f64 (sqrt.f64 2) -3)))
(/.f64 (-.f64 (-.f64 (sqrt.f64 2) (*.f64 2 (+.f64 (sqrt.f64 2) -3))) 3) (/.f64 -1 x))
(/.f64 (-.f64 (-.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 6)) (+.f64 (sqrt.f64 2) 3)) (/.f64 -1 x))
(/.f64 (-.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (-.f64 (sqrt.f64 2) 6) (sqrt.f64 2))) (+.f64 3 (.f64 (sqrt.f64 2) 3))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 2) -3) 3) (.f64 (*.f64 2 (+.f64 (sqrt.f64 2) -3)) 2)) (/.f64 -1 x))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (+.f64 3 (.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (*.f64 2 (sqrt.f64 2)) 2))) (/.f64 -1 x))
(/.f64 (-.f64 (+.f64 3 (.f64 (sqrt.f64 2) 3)) (.f64 (+.f64 (sqrt.f64 2) 3) 2)) (/.f64 1 x))
(/.f64 (-.f64 (+.f64 3 (.f64 (sqrt.f64 2) 3)) (.f64 (+.f64 (sqrt.f64 2) 3) 2)) (neg.f64 (/.f64 -1 x)))
(/.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 2) 3) 6) 12) (/.f64 1 x))
(/.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 2) 3) 6) 12) (neg.f64 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 (sqrt.f64 2) -3) 3)) (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2))) -1)
(/.f64 (-.f64 (.f64 x (-.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 6))) (.f64 x (+.f64 (sqrt.f64 2) 3))) -1)
(/.f64 (-.f64 (/.f64 x 1/3) (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3)))) -1)
(/.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 2) -3) -3) -3) (/.f64 1 x))
(/.f64 (-.f64 (/.f64 x 1/3) (*.f64 (+.f64 x x) 2)) (/.f64 1 (-.f64 3 (sqrt.f64 2))))
(neg.f64 (*.f64 x (-.f64 3 (sqrt.f64 2))))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 (sqrt.f64 2) 3)) 3) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(*.f64 (-.f64 (sqrt.f64 2) 3) x)
(*.f64 x (-.f64 (sqrt.f64 2) 3))
(+.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) (/.f64 x 1/3))
(+.f64 (.f64 x (+.f64 (sqrt.f64 2) -3)) (.f64 x (-.f64 (*.f64 (sqrt.f64 2) 0) -3)))
(.f64 x (+.f64 (+.f64 (sqrt.f64 2) -3) (-.f64 (.f64 (sqrt.f64 2) 0) -3)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (+.f64 (sqrt.f64 2) -3)) (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 x -3)))
(*.f64 x (+.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 x -3) (.f64 x (+.f64 (sqrt.f64 2) 3)))
(*.f64 x (+.f64 -3 (+.f64 (sqrt.f64 2) 3)))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 0)))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 x 0)))
(+.f64 (/.f64 x 1/3) (*.f64 x (+.f64 (sqrt.f64 2) -3)))
(+.f64 (*.f64 x (+.f64 (sqrt.f64 2) -3)) (/.f64 x 1/3))
(+.f64 (.f64 x (.f64 2 (+.f64 (sqrt.f64 2) -3))) (*.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)))
(+.f64 (.f64 2 (.f64 x (+.f64 (sqrt.f64 2) -3))) (*.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)))
(+.f64 (.f64 x (+.f64 (.f64 2 (sqrt.f64 2)) -6)) (*.f64 (-.f64 6 (sqrt.f64 2)) x))
(+.f64 (.f64 x (.f64 2 (+.f64 (sqrt.f64 2) -3))) (.f64 1/2 (-.f64 (.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)) (*.f64 x (-.f64 (sqrt.f64 2) 6)))))
(+.f64 (.f64 2 (.f64 x (+.f64 (sqrt.f64 2) -3))) (.f64 1/2 (-.f64 (.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)) (*.f64 x (-.f64 (sqrt.f64 2) 6)))))
(+.f64 (.f64 x (+.f64 (.f64 2 (sqrt.f64 2)) -6)) (.f64 1/2 (.f64 (-.f64 (sqrt.f64 2) 6) (-.f64 (neg.f64 x) x))))
(+.f64 (.f64 x (-.f64 (.f64 (sqrt.f64 2) 0) -3)) (*.f64 x (+.f64 (sqrt.f64 2) -3)))
(.f64 x (+.f64 (+.f64 (sqrt.f64 2) -3) (-.f64 (.f64 (sqrt.f64 2) 0) -3)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 x (-.f64 (*.f64 2 (sqrt.f64 2)) 3)))
(+.f64 (.f64 3 x) (.f64 x (-.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 -1 (.f64 x (-.f64 -3 (.f64 2 (+.f64 (sqrt.f64 2) -3))))))
(+.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 -1 (.f64 x (-.f64 -3 (+.f64 (.f64 2 (sqrt.f64 2)) -6)))))
(.f64 x (+.f64 (-.f64 3 (sqrt.f64 2)) (-.f64 3 (+.f64 (.f64 (sqrt.f64 2) -2) 6))))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 x (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 x (-.f64 (*.f64 2 (sqrt.f64 2)) 3)))
(+.f64 (.f64 3 x) (.f64 x (-.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 x x)))
(+.f64 (.f64 x (-.f64 3 (sqrt.f64 2))) (.f64 x (-.f64 (*.f64 2 (sqrt.f64 2)) 3)))
(+.f64 (.f64 3 x) (.f64 x (-.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2)) (neg.f64 (+.f64 (.f64 x -3) (.f64 x (*.f64 (+.f64 (sqrt.f64 2) -3) 3)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 2 (+.f64 x x))) (neg.f64 (+.f64 (.f64 x -3) (.f64 (+.f64 (sqrt.f64 2) -3) (*.f64 x 3)))))
(+.f64 (.f64 (+.f64 x x) (+.f64 (.f64 2 (sqrt.f64 2)) -6)) (neg.f64 (.f64 x (+.f64 -3 (+.f64 (.f64 (sqrt.f64 2) 3) -9)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 (+.f64 x x) 2)) (.f64 1 (neg.f64 (+.f64 (.f64 x -3) (.f64 x (.f64 (+.f64 (sqrt.f64 2) -3) 3))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 2) -3) (.f64 2 (+.f64 x x))) (neg.f64 (+.f64 (.f64 x -3) (.f64 (+.f64 (sqrt.f64 2) -3) (*.f64 x 3)))))
(+.f64 (.f64 (+.f64 x x) (+.f64 (.f64 2 (sqrt.f64 2)) -6)) (neg.f64 (.f64 x (+.f64 -3 (+.f64 (.f64 (sqrt.f64 2) 3) -9)))))
(+.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) (.f64 x -3))
(+.f64 (.f64 x -3) (.f64 x (+.f64 (sqrt.f64 2) 3)))
(*.f64 x (+.f64 -3 (+.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)) (.f64 x (*.f64 2 (+.f64 (sqrt.f64 2) -3))))
(+.f64 (.f64 2 (.f64 x (+.f64 (sqrt.f64 2) -3))) (*.f64 (-.f64 (sqrt.f64 2) 6) (neg.f64 x)))
(+.f64 (.f64 x (+.f64 (.f64 2 (sqrt.f64 2)) -6)) (*.f64 (-.f64 6 (sqrt.f64 2)) x))
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(-.f64 (.f64 x (+.f64 (sqrt.f64 2) 3)) (.f64 x (-.f64 6 (-.f64 (sqrt.f64 2) (sqrt.f64 2)))))
(*.f64 x (-.f64 (-.f64 (sqrt.f64 2) (sqrt.f64 2)) (-.f64 3 (sqrt.f64 2))))
(/.f64 (-.f64 (/.f64 x 1/3) (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3)))) -1)
(-.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -3))) (.f64 x (+.f64 (sqrt.f64 2) -3))) (/.f64 x 1/3))
(-.f64 (*.f64 x (+.f64 (sqrt.f64 2) 0)) (/.f64 x 1/3))
(/.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 2) -3) -3) -3) (/.f64 1 x))
(*.f64 x (+.f64 (sqrt.f64 2) -3))
(/.f64 (-.f64 (/.f64 x 1/3) (*.f64 (+.f64 x x) 2)) (/.f64 1 (-.f64 3 (sqrt.f64 2))))
(.f64 (-.f64 (/.f64 x 1/3) (.f64 2 (+.f64 x x))) (/.f64 (-.f64 3 (sqrt.f64 2)) 1))
(/.f64 (*.f64 (+.f64 x x) 1/2) (/.f64 -1 (-.f64 3 (sqrt.f64 2))))
(neg.f64 (*.f64 x (-.f64 3 (sqrt.f64 2))))
(*.f64 x (-.f64 (sqrt.f64 2) 3))

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) (/.f64 x -2))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 x -3/2))
✓	0.7b	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
0.0ms	x	@	-inf	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
0.0ms	x	@	inf	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 x -3/2))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 x -3/2))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational.json-simplify-13`
694×	`rational.json-simplify-24`
674×	`rational.json-simplify-21`
636×	`rational.json-1`
636×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	84	63
2	278	63
3	1481	49

Stop Event

1×	node limit

Counts

3 → 357

Calls

Call 1

Inputs
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
(.f64 (sqrt.f64 2) (.f64 x -3/2))
(*.f64 (sqrt.f64 2) (/.f64 x -2))

Outputs

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

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational.json-simplify-24`
1128×	`rational.json-simplify-13`
1122×	`rational.json-simplify-27`
1100×	`rational.json-simplify-28`
468×	`rational.json-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	640	11637
1	2480	8791

Stop Event

1×	node limit

Counts

393 → 469

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -3/2 (sqrt.f64 2)) (*.f64 -1/2 (sqrt.f64 2))) x)
(.f64 -1 (.f64 (-.f64 (.f64 3/2 (sqrt.f64 2)) (.f64 1/2 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 3/2 (sqrt.f64 2)) (.f64 1/2 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 3/2 (sqrt.f64 2)) (.f64 1/2 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 3/2 (sqrt.f64 2)) (.f64 1/2 (sqrt.f64 2))) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -3/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
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(/.f64 (*.f64 x 3/2) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2/3 x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -2/3 x) 1/2))
(/.f64 (*.f64 x -3) (/.f64 2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 3) (/.f64 -2 x))
(/.f64 (*.f64 x 3) (/.f64 -2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 3/2) (/.f64 -1 x))
(/.f64 (.f64 (sqrt.f64 2) 3/2) (.f64 -1 (/.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 2) 3/2) (neg.f64 (/.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/3 x))
(/.f64 (/.f64 x -4/3) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 x x) x) (neg.f64 (/.f64 -2/3 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 x 3) (.f64 (+.f64 x x) 2)) (neg.f64 (/.f64 -2/3 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 x -9/2) (.f64 (*.f64 x -3) 2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (*.f64 2 (sqrt.f64 2)) 2)) (/.f64 2/3 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x -3/2))) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -9/2)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -3) 2))) -1)
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) -3/2) 2) (/.f64 1/2 x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 2/3 x))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) x) (.f64 x (*.f64 2 (sqrt.f64 2)))) -2)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))) -1)
(/.f64 (+.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (*.f64 2 (sqrt.f64 2)) -1)) (/.f64 2 x))
(/.f64 (+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) x)) -2)
(/.f64 (+.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) -1) (neg.f64 (sqrt.f64 2))) (/.f64 2 x))
(/.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2))) (.f64 (sqrt.f64 2) (.f64 x 1/2))) -1)
(/.f64 (-.f64 (-.f64 x x) (*.f64 x -3/2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x -3))) 1/2) -1)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 (*.f64 (sqrt.f64 2) 0) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 1 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 1 (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (.f64 (sqrt.f64 2) -1/4) 0))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) 0) -2) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (/.f64 (sqrt.f64 2) (/.f64 -4 x)) (/.f64 (sqrt.f64 2) (/.f64 -4 x)))
(+.f64 (.f64 (.f64 x -1/4) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x -1/4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/4)) (.f64 (.f64 x -1/4) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -1/2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/4) (.f64 -1/4 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -1/4)) (.f64 (.f64 (sqrt.f64 2) -1/4) x))
(+.f64 (.f64 0 (.f64 (sqrt.f64 2) -1/4)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (/.f64 (.f64 x -1/4) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -1/4) (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 (*.f64 (sqrt.f64 2) 0) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (.f64 (sqrt.f64 2) -1/4) 0))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 2 x)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (/.f64 (*.f64 (sqrt.f64 2) 3) (/.f64 -4 x)) (/.f64 (sqrt.f64 2) (/.f64 -4 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) -1/4)) (.f64 (*.f64 (sqrt.f64 2) -1/4) x))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x -1/4)) (.f64 (*.f64 x -1/4) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 -2 x))
(/.f64 x (/.f64 -2 (sqrt.f64 2)))
(/.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 2) -1/4)))
(/.f64 x (neg.f64 (/.f64 2 (sqrt.f64 2))))
(/.f64 (*.f64 x -1/2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (*.f64 x -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 2)
(/.f64 1 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) x) -2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) 4)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) -1/4))
(/.f64 (+.f64 x x) (/.f64 -4 (sqrt.f64 2)))
(/.f64 (+.f64 x x) (/.f64 1 (*.f64 (sqrt.f64 2) -1/4)))
(/.f64 (+.f64 x x) (/.f64 (/.f64 -2 (sqrt.f64 2)) 1/2))
(/.f64 1/2 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))
(/.f64 1/2 (/.f64 (/.f64 -2 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 -2 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (sqrt.f64 2)) -1)))
(/.f64 1/2 (/.f64 (*.f64 -2 (/.f64 1/2 (sqrt.f64 2))) x))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 x -1/2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (*.f64 (sqrt.f64 2) -1/2)))
(/.f64 1/2 (/.f64 (.f64 1/2 (/.f64 1/2 x)) (.f64 (sqrt.f64 2) -1/4)))
(/.f64 1/2 (/.f64 -2 (.f64 x (.f64 2 (sqrt.f64 2)))))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))))
(/.f64 -1/4 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 -1/4 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 -1/4 (*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 2))))
(/.f64 -1/4 (/.f64 1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) -1)
(/.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 (/.f64 -2 x) (neg.f64 (sqrt.f64 2))))
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(/.f64 (neg.f64 x) (/.f64 2 (sqrt.f64 2)))
(/.f64 (neg.f64 x) (/.f64 -1/2 (*.f64 (sqrt.f64 2) -1/4)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 -1 (sqrt.f64 2)) -2))
(/.f64 (*.f64 x 1/2) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 x))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 -4 x))
(/.f64 (*.f64 x -1/4) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 x (.f64 2 (sqrt.f64 2))) -4)
(/.f64 (*.f64 (sqrt.f64 2) -1/2) (/.f64 1 x))
(/.f64 (.f64 x -2) (/.f64 -1 (.f64 (sqrt.f64 2) -1/4)))
(/.f64 (*.f64 (sqrt.f64 2) -1/4) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) -1) (/.f64 (/.f64 2 x) 1/2))
(/.f64 (/.f64 (.f64 2 (sqrt.f64 2)) -1) (.f64 -1 (/.f64 -4 x)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1 x))
(/.f64 (/.f64 (sqrt.f64 2) (/.f64 -4 x)) 1/2)
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 2 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 3) (.f64 (+.f64 x x) 2)) (/.f64 2 (sqrt.f64 2)))
(/.f64 (-.f64 0 (*.f64 2 (sqrt.f64 2))) (neg.f64 (/.f64 -4 x)))
(/.f64 (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 3)) (neg.f64 (/.f64 -4 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (*.f64 2 (sqrt.f64 2)) 2)) (/.f64 2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2))) -1)
(/.f64 (.f64 -1/4 (.f64 2 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 1/2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) -1/4) 1/2) (/.f64 1 x))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2))) (.f64 (sqrt.f64 2) (.f64 x 1/2))) -1)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 2 x))
(/.f64 (-.f64 (-.f64 x x) (*.f64 x -1/2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 2 (sqrt.f64 2)) -1) 1/2) (/.f64 2 x))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2))) 1/2) -1)
(/.f64 (.f64 -1/8 (.f64 2 (sqrt.f64 2))) (/.f64 1/2 x))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)))

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

eval647.0ms (8.3%)

Compiler: Compiled 21733 to 17967 computations (17.3% saved)

prune503.0ms (6.5%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1437	9	1446
Fresh	10	2	12
Picked	1	0	1
Done	2	8	10
Total	1450	19	1469

Error

Counts

1469 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(/.f64 (-.f64 (.f64 x -3/2) (.f64 (+.f64 x x) -5/4)) (/.f64 -1 (sqrt.f64 2)))
	32.8b	(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 4 (sqrt.f64 2))) (/.f64 1 x))
	32.8b	(/.f64 (-.f64 x (*.f64 x 3)) (/.f64 2 (sqrt.f64 2)))
	30.3b	(/.f64 (-.f64 3 (-.f64 (sqrt.f64 2) -3)) (/.f64 -1 x))
✓	30.2b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
✓	32.7b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))
	32.7b	(/.f64 2 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))
✓	30.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
	32.7b	(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
	32.7b	(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
	32.8b	(.f64 (/.f64 (+.f64 (.f64 -1/2 x) (-.f64 (*.f64 x 3/2) (+.f64 x x))) (/.f64 2 (sqrt.f64 2))) 2)
	32.8b	(.f64 (+.f64 x (-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) x)) 2)
✓	32.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
✓	32.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
✓	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.2b	(*.f64 (sqrt.f64 2) x)
	30.3b	(*.f64 x (-.f64 (-.f64 (sqrt.f64 2) 6) -6))
	32.7b	(.f64 x (-.f64 (.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2) 4)))
✓	28.7b	(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))

Compiler

Compiled 193 to 163 computations (15.5% saved)

regimes194.0ms (2.5%)

Counts

44 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(*.f64 x (-.f64 (-.f64 (sqrt.f64 2) 6) -6))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 2 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -2)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 x (*.f64 x 3)))
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) -3)) (.f64 x 3))
(-.f64 (.f64 x (-.f64 (sqrt.f64 2) 3)) (.f64 x -3))
(/.f64 (-.f64 3 (-.f64 (sqrt.f64 2) -3)) (/.f64 -1 x))
(/.f64 (-.f64 x (*.f64 x 3)) (/.f64 2 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(.f64 (+.f64 x (-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) x)) 2)
(/.f64 (+.f64 (.f64 x 4) (.f64 x -3)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -3/2) (.f64 (+.f64 x x) -5/4)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (.f64 -1/2 x) (-.f64 (*.f64 x 3/2) (+.f64 x x))) (/.f64 2 (sqrt.f64 2))) 2)
(sqrt.f64 (/.f64 (pow.f64 x 2) 1/2))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2) 4)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 (sqrt.f64 2) 4)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 4 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 3) (pow.f64 x 2)))
(sqrt.f64 (-.f64 (.f64 (pow.f64 x 2) 5) (.f64 (pow.f64 x 2) 3)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 4) (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) 3))

Outputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
(/.f64 (sqrt.f64 2) (/.f64 1 x))

Calls

4 calls:

53.0ms	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
52.0ms	(pow.f64 x 2)
39.0ms	(+.f64 (pow.f64 x 2) (pow.f64 x 2))
36.0ms	x

Results

Error	Segments	Branch
0.4b	2	`x`
13.4b	3	`(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))`
13.4b	3	`(+.f64 (pow.f64 x 2) (pow.f64 x 2))`
13.4b	3	`(pow.f64 x 2)`

Compiler

Compiled 490 to 406 computations (17.1% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-2.03511748368603e-308	6.7246825924518646e-304

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 175 to 154 computations (12% saved)

regimes11.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(*.f64 x (-.f64 (-.f64 (sqrt.f64 2) 6) -6))

Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 1 x))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.4b	2	`x`

Compiler

Compiled 32 to 26 computations (18.8% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-2.03511748368603e-308	6.7246825924518646e-304

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 148 to 127 computations (14.2% saved)

regimes13.0ms (0.2%)

Accuracy

Total -62.0b remaining (-14841.4%)

Threshold costs -62.0b (-14841.4%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))

Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.4b	2	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch34.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-2.03511748368603e-308	6.7246825924518646e-304

Results

32.0ms

144×

body

256

valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Outputs
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 54 to 44 computations (18.5% saved)

soundness166.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-1`
1438×	`rational.json-simplify-63`
1232×	`rational.json-simplify-67`
1102×	`rational.json-simplify-50`
916×	`rational.json-simplify-37`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	214	2175
1	625	2133
2	3276	2133
3	5892	2133
4	7402	2133
5	7600	2133
6	7696	2133
7	7765	2133
8	7765	2133

Stop Event

1×	node limit

Compiler

Compiled 24 to 20 computations (16.7% saved)

end39.0ms (0.5%)

Compiler: Compiled 51 to 40 computations (21.6% saved)