Details

analyze3.0ms (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 6 computations (25% saved)

sample798.0ms (16.7%)

Results

788.0ms	8256×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

6×	`rational_best-simplify-2`
2×	`rational_best-simplify-74`
2×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	12	17
3	14	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`rational_best-simplify-2`
2×	`rational_best-simplify-74`
2×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	12	17
3	14	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	31.2b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`rational_best-5`
1736×	`rational_best-2`
1736×	`rational_best-3`
1736×	`rational_best-1`
1734×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	67	17
2	218	17
3	893	17
4	3680	17

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify178.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1886×	`rational_best-simplify-78`
1104×	`rational_best-simplify-132`
912×	`rational_best-simplify-2`
858×	`rational_best-simplify-54`
504×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	842
1	89	834
2	185	834
3	649	834
4	2317	834
5	5609	834

Stop Event

1×	node limit

Counts

32 → 39

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

eval10.0ms (0.2%)

Compiler: Compiled 847 to 501 computations (40.9% saved)

prune105.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Error

0.2b

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.7b	(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
▶	33.6b	(.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x))))
▶	29.8b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	33.2b	(*.f64 (sqrt.f64 2) x)
✓	32.5b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 61 to 41 computations (32.8% saved)

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)

rewrite69.0ms (1.4%)

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)))))))

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)))))))

simplify138.0ms (2.9%)

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))

rewrite69.0ms (1.5%)

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))))))

simplify125.0ms (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))

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x x))
✓	0.3b	(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
✓	0.3b	(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (*.f64 x x)))))
✓	31.2b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 63 to 36 computations (42.9% saved)

series128.0ms (2.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
126.0ms	x	@	-inf	(sqrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	0	(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
0.0ms	x	@	0	(.f64 2 (.f64 x x))
0.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
0.0ms	x	@	inf	(.f64 2 (.f64 x x))

rewrite237.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational_best-simplify-57`
878×	`rational_best-simplify-44`
594×	`rational_best-simplify-43`
560×	`rational_best-5`
560×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	98
1	93	98
2	304	98
3	1263	98
4	6627	98

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify237.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational_best-simplify-2`
1116×	`rational_best-simplify-49`
764×	`rational_best-simplify-132`
664×	`rational_best-simplify-44`
576×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	351	6369
1	818	6311
2	1879	6269
3	4135	6193

Stop Event

1×	node limit

Counts

201 → 244

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

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

localize109.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
✓	14.3b	(sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))
	31.2b	(sqrt.f64 (.f64 2 (.f64 x x)))
✓	31.4b	(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))

Compiler

Compiled 70 to 34 computations (51.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite109.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`rational_best-simplify-57`
692×	`rational_best-5`
692×	`rational_best-2`
692×	`rational_best-3`
692×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	124	86
2	383	46
3	1699	46
4	5993	46

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify140.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational_best-simplify-2`
1154×	`rational_best-simplify-129`
886×	`rational_best-simplify-80`
820×	`rational_best-simplify-78`
818×	`rational_best-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	2051
1	167	2051
2	298	2051
3	620	2051
4	1915	2051
5	4343	2051

Stop Event

1×	node limit

Counts

65 → 79

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

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

eval327.0ms (6.8%)

Compiler: Compiled 33755 to 14769 computations (56.2% saved)

prune291.0ms (6.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	843	3	846
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	845	6	851

Error

0.0b

Counts

851 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(*.f64 (/.f64 x (sqrt.f64 2)) -2)
▶	49.8b	(.f64 (.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (*.f64 x x))))
✓	29.8b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	33.2b	(*.f64 (sqrt.f64 2) x)
▶	33.2b	(*.f64 2 (/.f64 x (sqrt.f64 2)))
✓	32.5b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 53 to 41 computations (22.6% saved)

localize7.0ms (0.1%)

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))

rewrite184.0ms (3.8%)

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))))))))

simplify275.0ms (5.7%)

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))

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))))
	0.4b	(*.f64 (sqrt.f64 2) x)
	31.2b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 65 to 41 computations (36.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite105.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best-simplify-57`
652×	`rational_best-simplify-43`
624×	`rational_best-2`
624×	`rational_best-3`
624×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	108	39
2	344	39
3	1446	39
4	6145	39

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify165.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best-simplify-47`
1398×	`rational_best-simplify-80`
1264×	`rational_best-simplify-78`
1250×	`rational_best-simplify-82`
1234×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	363
1	44	363
2	94	363
3	264	363
4	1406	363
5	4261	363
6	6366	363

Stop Event

1×	node limit

Counts

21 → 14

Calls

Call 1

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

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

localize7.0ms (0.1%)

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)

eval357.0ms (7.4%)

Compiler: Compiled 13422 to 6832 computations (49.1% saved)

prune111.0ms (2.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	345	6	351

Error

0.0b

Counts

351 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(*.f64 (/.f64 x (sqrt.f64 2)) -2)
✓	49.8b	(.f64 (.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (*.f64 x x))))
✓	29.8b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	33.2b	(*.f64 (sqrt.f64 2) x)
✓	33.2b	(*.f64 2 (/.f64 x (sqrt.f64 2)))
✓	32.5b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes32.0ms (0.7%)

Accuracy

Total -63.1b remaining (-15094.3%)

Threshold costs -63.1b (-15094.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(.f64 (.f64 2 x) x)
10.0ms	x
9.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

Results

Error	Segments	Branch
0.4b	2	`x`
16.0b	3	`(sqrt.f64 (.f64 (.f64 2 x) x))`
16.0b	3	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 104 to 69 computations (33.7% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-1.6296325612906248e-301	2.9106417398257582e-307

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 128 to 107 computations (16.4% 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)

soundness277.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1886×	`rational_best-simplify-78`
1104×	`rational_best-simplify-132`
912×	`rational_best-simplify-2`
858×	`rational_best-simplify-54`
504×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	842
1	89	834
2	185	834
3	649	834
4	2317	834
5	5609	834

Stop Event

1×	node limit

Compiler

Compiled 24 to 20 computations (16.7% saved)

end18.0ms (0.4%)

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

Details

analyze3.0ms (0.1%)

sample798.0ms (16.7%)

preprocess6.0ms (0.1%)

simplify15.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite74.0ms (1.5%)

simplify178.0ms (3.7%)

eval10.0ms (0.2%)

prune105.0ms (2.2%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite69.0ms (1.4%)

simplify138.0ms (2.9%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite69.0ms (1.5%)

simplify125.0ms (2.6%)

localize19.0ms (0.4%)

series128.0ms (2.7%)

rewrite237.0ms (4.9%)

simplify237.0ms (4.9%)

localize109.0ms (2.3%)

series2.0ms (0%)

rewrite109.0ms (2.3%)

simplify140.0ms (2.9%)

eval327.0ms (6.8%)

prune291.0ms (6.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite184.0ms (3.8%)

simplify275.0ms (5.7%)

localize24.0ms (0.5%)

series0.0ms (0%)

rewrite105.0ms (2.2%)

simplify165.0ms (3.4%)

localize7.0ms (0.1%)

eval357.0ms (7.4%)

prune111.0ms (2.3%)

regimes32.0ms (0.7%)

bsearch15.0ms (0.3%)

simplify2.0ms (0%)

soundness277.0ms (5.8%)

end18.0ms (0.4%)

Profiling