Details

analyze5.0ms (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 8 to 7 computations (12.5% saved)

sample1.7s (34.7%)

Results

1.7s	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess58.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	9	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	9	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% 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

28.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize205.0ms (4.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (pow.f64 x 2))
✓	27.3b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite105.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational_best-5`
1764×	`rational_best-2`
1764×	`rational_best-3`
1764×	`rational_best-1`
1762×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	66	30
2	217	30
3	875	30
4	3628	30

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

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

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

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

simplify181.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-132`
918×	`rational_best-simplify-2`
886×	`rational_best-simplify-54`
540×	`rational_best-simplify-80`
466×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	630
1	102	616
2	224	616
3	732	616
4	2487	616
5	5931	616

Stop Event

1×	node limit

Counts

40 → 37

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

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 (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 (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))) 1)
(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))) (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))) (.f64 (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 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (/.f64 1 (/.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 (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))) (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 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (*.f64 x x) 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 x x) 2)))) (/.f64 1 (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))) (/.f64 1 (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 1 (/.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))) (.f64 (/.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))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 x x) 2))))) (sqrt.f64 (.f64 2 (.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 x x) 2))) (.f64 2 (pow.f64 (.f64 x x) 2))))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (/.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)))) (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (*.f64 x x) 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (.f64 (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)))) (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 x 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 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (/.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 (.f64 2 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(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 2 (pow.f64 x 2))
(+.f64 0 (*.f64 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)) 1)
(*.f64 2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (/.f64 2 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 2 (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) 4) 2)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))

eval11.0ms (0.2%)

Compiler: Compiled 517 to 429 computations (17% saved)

prune156.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

0.2b

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.3b	(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (*.f64 x x) 2)))))
▶	30.9b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	32.0b	(*.f64 (sqrt.f64 2) x)
▶	47.3b	(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (/.f64 2 (pow.f64 x 2))))
✓	28.3b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 51 to 42 computations (17.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 x x) 2)
✓	0.4b	(/.f64 2 (pow.f64 x 2))
✓	27.3b	(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (/.f64 2 (pow.f64 x 2))))
✓	42.4b	(.f64 (pow.f64 (.f64 x x) 2) (/.f64 2 (pow.f64 x 2)))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series1.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite118.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`rational_best-simplify-57`
640×	`rational_best-simplify-44`
566×	`rational_best-simplify-43`
548×	`rational_best-5`
546×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	92
1	91	92
2	297	92
3	1232	56
4	5787	56

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify160.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1610×	`rational_best-simplify-54`
1544×	`rational_best-simplify-129`
1050×	`rational_best-simplify-135`
724×	`rational_best-simplify-49`
636×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	2858
1	425	2796
2	890	2796
3	4868	2790

Stop Event

1×	node limit

Counts

148 → 137

Calls

Call 1

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

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

localize4.0ms (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)

rewrite102.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best-2`
1432×	`rational_best-3`
1432×	`rational_best-1`
1430×	`rational_best-4`
1430×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	58	11
2	184	11
3	754	11
4	2981	11

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify131.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational_best-simplify-132`
1338×	`rational_best-simplify-80`
1212×	`rational_best-simplify-78`
998×	`rational_best-simplify-82`
718×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	36	99
2	75	99
3	205	99
4	967	99
5	2641	99
6	5361	99

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

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

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

rewrite115.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational_best-2`
1656×	`rational_best-1`
1650×	`rational_best-3`
1648×	`rational_best-4`
1648×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	70	15
2	226	15
3	876	15
4	3511	15

Stop Event

1×	node limit

Counts

1 → 9

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

simplify128.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-132`
1292×	`rational_best-simplify-80`
1160×	`rational_best-simplify-78`
1124×	`rational_best-simplify-2`
1016×	`rational_best-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	315
1	45	315
2	89	315
3	229	315
4	1179	315
5	2748	315
6	5464	315

Stop Event

1×	node limit

Counts

21 → 11

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

localize34.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
✓	16.9b	(sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (*.f64 x x) 2))))
	27.3b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
✓	27.4b	(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (.f64 2 (pow.f64 (*.f64 x x) 2)))))

Compiler

Compiled 79 to 56 computations (29.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite120.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`rational_best-2`
728×	`rational_best-3`
728×	`rational_best-1`
724×	`rational_best-5`
722×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	109
1	131	97
2	419	97
3	1756	63
4	7207	63

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

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

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

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

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

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

simplify183.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1084×	`rational_best-simplify-2`
786×	`rational_best-simplify-132`
774×	`rational_best-simplify-78`
768×	`rational_best-simplify-80`
638×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	3433
1	260	3433
2	464	3367
3	1404	3367
4	2980	3367
5	5412	3367

Stop Event

1×	node limit

Counts

111 → 100

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 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 2 (pow.f64 x 2))
(/.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 (*.f64 2 (pow.f64 x 2))) 0)
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(-.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (/.f64 (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)
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) 0)
(+.f64 0 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))))
(.f64 1 (sqrt.f64 (.f64 (pow.f64 (*.f64 x x) 2) 4)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 (.f64 x x) 2) 4))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 x x) 2) 4)) 1)
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (/.f64 1 (/.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))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 (pow.f64 (*.f64 x x) 2) 4)))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (*.f64 x x) 2) 16))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x x) 2) 16))) (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (*.f64 x x) 2) 4))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (fabs.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 (.f64 x x) 2) 4))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x x) 2) 16)))) (sqrt.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x x) 2) 16)) (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x x) 2) 16)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (*.f64 x x) 2) 16))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))) (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x x) 2) 16))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) 1)
(/.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (pow.f64 (*.f64 x x) 2) 4))) 2)
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))))
(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.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)))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))) (fabs.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))))
(fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (/.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))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (fabs.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (fabs.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4))) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (neg.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2)))))))
(fabs.f64 (-.f64 0 (/.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 4)) (fabs.f64 (/.f64 (sqrt.f64 (.f64 2 (pow.f64 x 2))) (sqrt.f64 (.f64 2 (pow.f64 x 2))))))))
(+.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(-.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(.f64 1 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))) (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2)))) (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 x 2))))))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2)))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))))

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

eval345.0ms (7.1%)

Compiler: Compiled 6628 to 5136 computations (22.5% saved)

prune132.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	284	5	289

Error

0.0b

Counts

289 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(*.f64 (/.f64 x (sqrt.f64 2)) -2)
✓	30.9b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	32.0b	(*.f64 (sqrt.f64 2) x)
▶	32.1b	(*.f64 2 (/.f64 x (sqrt.f64 2)))
✓	28.3b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 32 to 27 computations (15.6% saved)

localize29.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 12 computations (20% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`rational_best-2`
1384×	`rational_best-3`
1384×	`rational_best-1`
1382×	`rational_best-4`
1380×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	183	11
3	745	11
4	2889	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify147.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best-simplify-80`
1176×	`rational_best-simplify-78`
818×	`rational_best-simplify-54`
810×	`rational_best-simplify-2`
656×	`rational_best-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	341
1	112	341
2	277	341
3	883	341
4	2315	341
5	4788	341

Stop Event

1×	node limit

Counts

31 → 32

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval201.0ms (4.2%)

Compiler: Compiled 1687 to 1383 computations (18% saved)

prune9.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	64	5	69

Error

0.0b

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(*.f64 (/.f64 x (sqrt.f64 2)) -2)
✓	30.9b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	32.0b	(*.f64 (sqrt.f64 2) x)
✓	32.1b	(*.f64 2 (/.f64 x (sqrt.f64 2)))
✓	28.3b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes47.0ms (1%)

Accuracy

Total -63.1b remaining (-15988.7%)

Threshold costs -63.1b (-15988.7%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
11.0ms	x
11.0ms	(pow.f64 x 2)
10.0ms	(*.f64 2 (pow.f64 x 2))

Results

Error	Segments	Branch
0.4b	2	`x`
11.4b	3	`(sqrt.f64 (*.f64 2 (pow.f64 x 2)))`
11.4b	3	`(*.f64 2 (pow.f64 x 2))`
11.4b	3	`(pow.f64 x 2)`

Compiler

Compiled 78 to 62 computations (20.5% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-1.635127462965333e-306	8.806479124310309e-301

Results

16.0ms

160×

body

256

valid

Compiler

Compiled 141 to 119 computations (15.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))

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

Outputs

(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

soundness265.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-132`
918×	`rational_best-simplify-2`
886×	`rational_best-simplify-54`
540×	`rational_best-simplify-80`
466×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	630
1	102	616
2	224	616
3	732	616
4	2487	616
5	5931	616

Stop Event

1×	node limit

Compiler

Compiled 24 to 20 computations (16.7% saved)

end19.0ms (0.4%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

Details

analyze5.0ms (0.1%)

sample1.7s (34.7%)

preprocess58.0ms (1.2%)

simplify13.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize205.0ms (4.3%)

series2.0ms (0%)

rewrite105.0ms (2.2%)

simplify181.0ms (3.7%)

eval11.0ms (0.2%)

prune156.0ms (3.2%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite118.0ms (2.4%)

simplify160.0ms (3.3%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite102.0ms (2.1%)

simplify131.0ms (2.7%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite115.0ms (2.4%)

simplify128.0ms (2.6%)

localize34.0ms (0.7%)

series2.0ms (0%)

rewrite120.0ms (2.5%)

simplify183.0ms (3.8%)

eval345.0ms (7.1%)

prune132.0ms (2.7%)

localize29.0ms (0.6%)

series1.0ms (0%)

rewrite69.0ms (1.4%)

simplify147.0ms (3%)

localize8.0ms (0.2%)

eval201.0ms (4.2%)

prune9.0ms (0.2%)

regimes47.0ms (1%)

bsearch18.0ms (0.4%)

simplify2.0ms (0%)

soundness265.0ms (5.5%)

end19.0ms (0.4%)

Profiling