Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 5 computations (50% saved)

sample1.6s (21.1%)

Results

1.6s	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess120.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1102×	`rational_best-simplify-1`
814×	`rational_best-simplify-97`
684×	`rational_best-simplify-3`
604×	`rational_best-simplify-52`
580×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	12	17
2	24	17
3	40	17
4	88	17
5	240	17
6	973	17
7	5147	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 10 to 5 computations (50% saved)

simplify155.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational_best-simplify-1`
814×	`rational_best-simplify-97`
684×	`rational_best-simplify-3`
604×	`rational_best-simplify-52`
580×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	12	17
2	24	17
3	40	17
4	88	17
5	240	17
6	973	17
7	5147	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))

eval0.0ms (0%)

Compiler: Compiled 15 to 7 computations (53.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	27.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 16 to 4 computations (75% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite103.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational_best-4`
1356×	`rational_best-2`
1356×	`rational_best-3`
1356×	`rational_best-1`
1356×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	48	17
2	102	17
3	247	17
4	844	17
5	3983	17

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (+.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 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4) (+.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4) (/.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) -2)) 2) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 4) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)) (neg.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) -2)) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (sqrt.f64 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (sqrt.f64 (.f64 (.f64 x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 2) (sqrt.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 (+.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 2) (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x x)) 2) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x x)) 2) (.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x x)) 2) (.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x x)) 2) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x x)) 2)) (/.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x x)) 2)) (.f64 1/2 (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (.f64 1/2 (/.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (.f64 2 (sqrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 x x))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x x)) 1/2) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 4) (.f64 2 (.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x x)) 4) (.f64 2 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 2) (sqrt.f64 2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (sqrt.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 2)) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 (sqrt.f64 x) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)) (+.f64 (sqrt.f64 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)) (.f64 2 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 (sqrt.f64 (+.f64 x x)) 2)) (.f64 2 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 x x) 4)) (sqrt.f64 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 x x) 4)) (sqrt.f64 (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x 4)) (sqrt.f64 (.f64 (+.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 1/4)) (sqrt.f64 (.f64 (+.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -1) (sqrt.f64 (.f64 x (.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (.f64 x -2))) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4)) (.f64 2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x x)) 2)) (.f64 2 (.f64 (sqrt.f64 x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))))

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 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (*.f64 -3 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -3 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2)) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2)) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sqrt.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (sqrt.f64 (*.f64 (*.f64 x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (sqrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x x)) 2) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x x)) 2) (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x x)) 2) (*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 2) (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) 2)) (/.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) 2)) (*.f64 1/2 (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 2)) (*.f64 1/2 (/.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 2 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 x x))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 1/2) (*.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x x)) 1/2) (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 4) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 4) (*.f64 2 (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (sqrt.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) 2)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)) (+.f64 (sqrt.f64 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)) (*.f64 2 (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (+.f64 x x)) 2)) (*.f64 2 (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x x) 4)) (sqrt.f64 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x x) 4)) (sqrt.f64 (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 x x) 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x 4)) (sqrt.f64 (*.f64 (+.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 (*.f64 (+.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x -2))) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) 2)) (*.f64 2 (*.f64 (sqrt.f64 x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))))

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational_best-simplify-51`
1166×	`rational_best-simplify-1`
1012×	`rational_best-simplify-57`
634×	`rational_best-simplify-75`
614×	`rational_best-simplify-76`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	1545
1	361	1537
2	905	1537
3	2835	1537

Stop Event

1×	node limit

Counts

93 → 88

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

eval72.0ms (1%)

Compiler: Compiled 1038 to 511 computations (50.8% saved)

prune136.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Error

0.1b

Counts

89 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
▶	31.9b	(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x)))
▶	31.3b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	31.7b	(*.f64 (sqrt.f64 2) x)
✓	28.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (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)

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best-simplify-83`
1242×	`rational_best-simplify-51`
950×	`rational_best-simplify-57`
944×	`rational_best-simplify-63`
808×	`rational_best-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	81	11
3	184	11
4	575	11
5	2267	11

Stop Event

1×	node limit

Counts

1 → 35

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) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (.f64 (sqrt.f64 2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (.f64 (sqrt.f64 2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))))) (#(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) (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 2) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 -3 (.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))) (.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 -3/2 (neg.f64 (.f64 (sqrt.f64 2) x))) 4)) (-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 4) (.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 8)) (-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 8) (.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (.f64 x 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8) (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) 4) (.f64 (.f64 x 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 x 4) 4) (.f64 (.f64 (sqrt.f64 2) 4) 4)) 256)))) (#(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) (*.f64 x 1/2)) (*.f64 (sqrt.f64 2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)) (*.f64 (sqrt.f64 2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)))))))) (#(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) (*.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (*.f64 -3 (*.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))) (*.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 -3/2 (neg.f64 (*.f64 (sqrt.f64 2) x))) 4)) (-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 8)) (-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (*.f64 x 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 8) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 8) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) 4) (*.f64 (*.f64 x 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 4) 4) (*.f64 (*.f64 (sqrt.f64 2) 4) 4)) 256)))) (#(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)))))))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1226×	`rational_best-simplify-48`
1010×	`rational_best-simplify-52`
878×	`rational_best-simplify-51`
808×	`rational_best-simplify-63`
710×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1061
1	234	893
2	601	773
3	1762	773

Stop Event

1×	node limit

Counts

35 → 44

Calls

Call 1

Inputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (*.f64 (sqrt.f64 2) (/.f64 x 4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 -3 (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 4))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))) (.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 -3/2 (neg.f64 (.f64 (sqrt.f64 2) x))) 4)) (-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 8)) (-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) 2)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 8) 8)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 x 4) 4)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (.f64 x 4) 4)) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 x 4)) 8) 32)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8) (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8)) 64)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) 4) (.f64 (*.f64 x 4) 4)) 256)
(/.f64 (.f64 (.f64 (.f64 x 4) 4) (.f64 (*.f64 (sqrt.f64 2) 4) 4)) 256)
(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) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 x (*.f64 (sqrt.f64 2) 3)) 4))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 x (*.f64 (sqrt.f64 2) 3)) 4))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (*.f64 (sqrt.f64 2) (/.f64 x 4)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))) -4)
(.f64 (.f64 (/.f64 x 4) (neg.f64 (sqrt.f64 2))) -4)
(-.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) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 -3 (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))) -4)
(.f64 (.f64 (/.f64 x 4) (neg.f64 (sqrt.f64 2))) -4)
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 x (*.f64 (sqrt.f64 2) 3)) 4))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 x (*.f64 (sqrt.f64 2) 3)) 4))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 2))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 4))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))) (.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4))) -4)
(.f64 (.f64 (/.f64 x 4) (neg.f64 (sqrt.f64 2))) -4)
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 -3/2 (neg.f64 (.f64 (sqrt.f64 2) x))) 4)) (-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 8)) (-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 2) x) -2)))
(+.f64 (.f64 -2 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)))) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 4))))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) 2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 8) 8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 x 4) 4)) 16)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (.f64 x 4) 4)) 64)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 x 4)) 8) 32)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8) (.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8)) 64)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) 4) (.f64 (*.f64 x 4) 4)) 256)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (.f64 x 4) 4) (.f64 (*.f64 (sqrt.f64 2) 4) 4)) 256)
(*.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)

localize7.0ms (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))

rewrite119.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational_best-4`
1490×	`rational_best-2`
1490×	`rational_best-3`
1490×	`rational_best-1`
1490×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	55	15
2	114	15
3	296	15
4	1057	15
5	5522	15

Stop Event

1×	node limit

Counts

1 → 34

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) (*.f64 x -1/2)) (*.f64 (sqrt.f64 2) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (*.f64 (sqrt.f64 2) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 4))))) (#(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) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -1/2)) (*.f64 (sqrt.f64 2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (*.f64 (sqrt.f64 2) (*.f64 x -1/2))) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 2) 2) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 4) (/.f64 (*.f64 (sqrt.f64 2) x) 4))))) (#(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) x) -1)))) (#(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) (+.f64 x x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -4) (*.f64 (sqrt.f64 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 4)) -1) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x -4))) (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x -4) (*.f64 (sqrt.f64 2) 4)) (*.f64 (*.f64 x -4) (*.f64 (sqrt.f64 2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)) (*.f64 -2 (*.f64 x 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 x 4)) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 2) 4)) (*.f64 x 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) -2) (*.f64 2 (*.f64 x 4))) 16)))) (#(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))))))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1326×	`rational_best-simplify-48`
1296×	`rational_best-simplify-63`
912×	`rational_best-simplify-49`
894×	`rational_best-simplify-52`
714×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	690
1	257	690
2	626	690
3	1840	690

Stop Event

1×	node limit

Counts

46 → 37

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite183.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2094×	`rational_best-2`
2094×	`rational_best-1`
906×	`rational_best-simplify-80`
676×	`rational_best-simplify-63`
622×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	73	21
2	159	21
3	425	17
4	1559	17
5	7008	17

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 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 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)) (-.f64 0 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (*.f64 4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x -2)) 2) 4) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) 2) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) 2) 4) (*.f64 (*.f64 (sqrt.f64 (*.f64 x -2)) 2) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 4 (sqrt.f64 (*.f64 x (neg.f64 x)))) (*.f64 2 (*.f64 (sqrt.f64 -2) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 4 (sqrt.f64 (+.f64 x x))) (*.f64 2 (*.f64 (sqrt.f64 x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x -2)) 2) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) 2) (*.f64 (*.f64 (sqrt.f64 (*.f64 x -2)) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational_best-simplify-51`
968×	`rational_best-simplify-57`
748×	`rational_best-simplify-49`
734×	`rational_best-simplify-63`
720×	`rational_best-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	868
1	213	720
2	565	720
3	1889	690

Stop Event

1×	node limit

Counts

38 → 35

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational_best-4`
1498×	`rational_best-2`
1498×	`rational_best-3`
1498×	`rational_best-1`
1498×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	53	17
2	107	17
3	266	17
4	944	17
5	4396	17

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 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 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 2) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (-.f64 0 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4)) (*.f64 4 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x x)) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))))

simplify156.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational_best-simplify-51`
1182×	`rational_best-simplify-1`
1018×	`rational_best-simplify-57`
778×	`rational_best-simplify-49`
716×	`rational_best-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	604
1	163	556
2	438	556
3	1584	556
4	7738	556

Stop Event

1×	node limit

Counts

36 → 31

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

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

eval66.0ms (0.9%)

Compiler: Compiled 1950 to 1331 computations (31.7% saved)

prune19.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	144	8	152

Error

0.0b

Counts

152 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.7b	(-.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 8)) (-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4))))
▶	31.7b	(-.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (/.f64 (.f64 -3/2 (neg.f64 (.f64 (sqrt.f64 2) x))) 4)) (-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 4) (*.f64 (sqrt.f64 2) (/.f64 x 4))))
▶	31.7b	(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
✓	32.4b	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	31.9b	(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x)))
✓	31.3b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	31.7b	(*.f64 (sqrt.f64 2) x)
✓	28.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 115 to 95 computations (17.4% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
✓	0.4b	(*.f64 (sqrt.f64 2) (/.f64 x 4))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 x 3))

Compiler

Compiled 49 to 41 computations (16.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 x 3))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 x 3))
0.0ms	x	@	-inf	(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
0.0ms	x	@	0	(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 4)) (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) -1/4))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (.f64 x 3))

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`rational_best-simplify-63`
812×	`rational_best-simplify-48`
772×	`rational_best-simplify-47`
730×	`rational_best-simplify-51`
714×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	104	73
2	210	69
3	578	63
4	2165	45

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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(2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 8) (*.f64 4 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 8) (*.f64 2 (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (-.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 -3/4 (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (-.f64 (/.f64 x 8) (/.f64 (*.f64 x -3/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (-.f64 (/.f64 x 8) (*.f64 -1/4 (/.f64 (*.f64 x 12) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 2)) (-.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -3/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 16) (*.f64 (*.f64 x 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 x x)) (/.f64 (sqrt.f64 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (/.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 1/4)))) (#(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) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (sqrt.f64 2) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (sqrt.f64 2) (*.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 (sqrt.f64 2) x)) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (*.f64 (sqrt.f64 2) (*.f64 x 4))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 -2 (*.f64 (sqrt.f64 2) x)) 2) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify189.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

992×	`rational_best-simplify-1`
950×	`rational_best-simplify-80`
688×	`rational_best-simplify-63`
582×	`rational_best-simplify-48`
574×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	308	5066
1	731	3296
2	1956	3154
3	7049	3152

Stop Event

1×	node limit

Counts

172 → 183

Calls

Call 1

Inputs
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (+.f64 x x)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 3)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x 4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (.f64 (.f64 (sqrt.f64 2) x) 7/4))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (.f64 (sqrt.f64 2) x) 5/4))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (sqrt.f64 2) (.f64 x 3/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 8) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 8) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x -3/4))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (/.f64 (.f64 (sqrt.f64 2) x) -4)) (.f64 (sqrt.f64 2) (.f64 x 3/4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2)) (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 0 (.f64 (.f64 (sqrt.f64 2) x) 7/4))) (.f64 (sqrt.f64 2) (*.f64 x -3/4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 x -3/4) (/.f64 x -8)))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8)))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 (*.f64 (sqrt.f64 2) x) 7/4))))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 -2 (*.f64 (sqrt.f64 2) x)))
(-.f64 0 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -2 (*.f64 (sqrt.f64 2) x))))
(-.f64 0 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) x) -5/4)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) x) -3/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (-.f64 0 (.f64 (.f64 (sqrt.f64 2) x) 7/4)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4) (.f64 (.f64 (sqrt.f64 2) x) -3/2))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (.f64 (sqrt.f64 2) x) -5/4))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8))) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 0)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/2) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (.f64 (sqrt.f64 2) x) -3/2))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (*.f64 x -3/4)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (*.f64 (sqrt.f64 2) x) -1/2))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 (.f64 (sqrt.f64 2) x) -4))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) 4)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 12))) 8)
(/.f64 (.f64 (.f64 x 12) (*.f64 (sqrt.f64 2) 4)) 16)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (sqrt.f64 2) (/.f64 x 8)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (*.f64 (sqrt.f64 2) (/.f64 x 8))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 0)
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 8))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 1)
(/.f64 (*.f64 (sqrt.f64 2) x) 4)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 8)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 8) 32)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 64)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 1)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (sqrt.f64 2) (.f64 x 3/4)))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (/.f64 (*.f64 (sqrt.f64 2) x) -4))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (.f64 (*.f64 (sqrt.f64 2) x) 5/4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (sqrt.f64 2) (-.f64 (/.f64 x 8) (*.f64 x -3/4))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (/.f64 x 8))) (.f64 (sqrt.f64 2) (.f64 1/8 (*.f64 x 5))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (*.f64 x 3/4)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (*.f64 (sqrt.f64 2) x) -1/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (.f64 (sqrt.f64 2) (.f64 1/8 (*.f64 x 5))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (*.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/4)) 2))
(+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4)) (.f64 (sqrt.f64 2) (*.f64 x 3/4)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (.f64 x 3/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (.f64 (sqrt.f64 2) (-.f64 (/.f64 x 8) (.f64 x -3/4)))))
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) 2) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (/.f64 x 8) (.f64 x -3/4))) (*.f64 (sqrt.f64 2) (/.f64 x 8)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (/.f64 x 8) (.f64 x -3/4))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/4))) (.f64 (sqrt.f64 2) (.f64 x 3/4)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (/.f64 x 8))) (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 x 8) (*.f64 x -3/4)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2)) (neg.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2))))
(+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2)) (neg.f64 (.f64 3 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/4)) 2))))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (.f64 x -3/4))))
(*.f64 x (sqrt.f64 2))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 -1/4 (.f64 (sqrt.f64 2) 3))))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 3 (.f64 (sqrt.f64 2) -1/4))))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(.f64 4 (.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(.f64 (.f64 x 1/4) (*.f64 (sqrt.f64 2) 4))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/4)) 4)
(.f64 (.f64 (sqrt.f64 2) x) 1)
(.f64 1 (.f64 (sqrt.f64 2) x))
(.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 x 4))
(.f64 (+.f64 x x) (.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(.f64 (/.f64 (sqrt.f64 2) 8) (.f64 4 (+.f64 x x)))
(.f64 (/.f64 x 8) (.f64 2 (*.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(.f64 (.f64 x 1/2) (-.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 -3/4 (*.f64 2 (sqrt.f64 2)))))
(.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))
(.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (/.f64 x 8) (/.f64 (*.f64 x -3/4) 2)))
(.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (/.f64 x 8) (.f64 -1/4 (/.f64 (.f64 x 12) 8))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 x x))
(.f64 (.f64 1/2 (sqrt.f64 2)) (-.f64 (.f64 x 1/2) (.f64 (*.f64 x -3/4) 2)))
(.f64 (/.f64 (sqrt.f64 2) 16) (.f64 (*.f64 x 4) 4))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 x 4)))
(.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x 1/4))
(.f64 (.f64 4 (+.f64 x x)) (/.f64 (sqrt.f64 2) 8))
(.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) 8)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 4)) 1/4)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(/.f64 (.f64 -2 (.f64 (sqrt.f64 2) x)) -2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 8) 8)
(/.f64 (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 4))) -4)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)
(/.f64 (.f64 (.f64 -2 (*.f64 (sqrt.f64 2) x)) 2) -4)
(/.f64 (/.f64 (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 4))) -1) 4)
(/.f64 (/.f64 (.f64 (.f64 -2 (*.f64 (sqrt.f64 2) x)) 2) -1) 4)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 1/4 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -3/4 (sqrt.f64 2))) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 3/4 (sqrt.f64 2))) x))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 3)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x 4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (*.f64 (sqrt.f64 2) x)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (.f64 (.f64 (sqrt.f64 2) x) 7/4))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (.f64 (sqrt.f64 2) x) 5/4))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 0)
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (sqrt.f64 2) (.f64 x 3/2)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 8) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 8) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x -3/4))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (/.f64 (.f64 (sqrt.f64 2) x) -4)) (.f64 (sqrt.f64 2) (.f64 x 3/4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2)) (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -5/2)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/4)) 2))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -5/2)) (.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) -8)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 0 (.f64 (.f64 (sqrt.f64 2) x) 7/4))) (.f64 (sqrt.f64 2) (*.f64 x -3/4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 x -3/4) (/.f64 x -8)))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 x -3/4) (/.f64 x -8))) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 x x) (+.f64 (.f64 x -3/4) (/.f64 x -8)))) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 8)) 0))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (sqrt.f64 2) (+.f64 (-.f64 x (/.f64 x -8)) (-.f64 x (*.f64 x -3/4)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (sqrt.f64 2) (+.f64 (.f64 -17 (/.f64 x -8)) (neg.f64 (.f64 x -3/4)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8)))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -5/2)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/4)) 2))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -5/2)) (.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) -8)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 (*.f64 (sqrt.f64 2) x) 7/4))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 -2 (*.f64 (sqrt.f64 2) x)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 0 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -2 (*.f64 (sqrt.f64 2) x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 0 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) x) -5/4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) x) -3/2)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (-.f64 0 (.f64 (.f64 (sqrt.f64 2) x) 7/4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 4) (.f64 (.f64 (sqrt.f64 2) x) -3/2))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (.f64 (sqrt.f64 2) x) -5/4))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (/.f64 x 8))) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (/.f64 x 8)))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 x x) (/.f64 x 8))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/4)) 2)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) 2) (.f64 (.f64 (sqrt.f64 2) x) -5/2)) (*.f64 (sqrt.f64 2) (/.f64 x 8)))
(+.f64 (-.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) -8)) (.f64 (.f64 (sqrt.f64 2) x) -5/2)) (*.f64 (sqrt.f64 2) (/.f64 x 8)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 0)
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 2)) (.f64 (*.f64 (sqrt.f64 2) x) -5/2))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (-.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/2) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (.f64 (sqrt.f64 2) x) -3/2))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (*.f64 x -3/4)))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (*.f64 (sqrt.f64 2) x) -1/2))
(.f64 3 (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 (.f64 (sqrt.f64 2) x) -4))
(.f64 3 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) 2)
(.f64 3 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) 4)
(.f64 3 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1)
(.f64 3 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 12))) 8)
(.f64 3 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 (.f64 x 12) (*.f64 (sqrt.f64 2) 4)) 16)
(.f64 3 (.f64 (sqrt.f64 2) x))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1)
(.f64 3 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 0)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (.f64 (sqrt.f64 2) (/.f64 x 8)))
(*.f64 (/.f64 x 8) (+.f64 (sqrt.f64 2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 2) 8) (+.f64 x x))
(*.f64 (sqrt.f64 2) (/.f64 (+.f64 x x) 8))
(.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 8)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (*.f64 (sqrt.f64 2) (/.f64 x 8))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 16) (/.f64 (*.f64 (sqrt.f64 2) x) 16)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 16))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (/.f64 (.f64 (sqrt.f64 2) x) 8))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 0)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (/.f64 x 8))))
(*.f64 (/.f64 x 8) (+.f64 (sqrt.f64 2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 2) 8) (+.f64 x x))
(*.f64 (sqrt.f64 2) (/.f64 (+.f64 x x) 8))
(.f64 2 (.f64 (sqrt.f64 2) (/.f64 x 8)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 1)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(/.f64 (*.f64 (sqrt.f64 2) x) 4)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 8)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 2)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 16)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 8) 32)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 64)
(.f64 (sqrt.f64 2) (.f64 x 1/4))
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(*.f64 (sqrt.f64 2) x)
(/.f64 (/.f64 (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 4))) -1) 4)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (/.f64 (.f64 (.f64 -2 (*.f64 (sqrt.f64 2) x)) 2) -1) 4)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) -3/4)))
(*.f64 (sqrt.f64 2) x)

localize55.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 -3/2 (neg.f64 (.f64 (sqrt.f64 2) x)))
✓	0.3b	(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 4) (.f64 (sqrt.f64 2) (/.f64 x 4)))
	0.4b	(*.f64 (sqrt.f64 2) (/.f64 x 4))
	0.4b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 119 to 102 computations (14.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational_best-4`
944×	`rational_best-2`
944×	`rational_best-3`
944×	`rational_best-1`
942×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	128	56
2	297	56
3	844	44
4	3822	34

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) 4) (.f64 (sqrt.f64 2) (/.f64 x 4)))
(.f64 -3/2 (neg.f64 (.f64 (sqrt.f64 2) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/2) (*.f64 (sqrt.f64 2) (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/8) (*.f64 (*.f64 (sqrt.f64 2) x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4) (*.f64 (*.f64 (sqrt.f64 2) x) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -16) (*.f64 5 (/.f64 (*.f64 (sqrt.f64 2) x) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/8)) (*.f64 (*.f64 (sqrt.f64 2) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)) (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -32) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -32) (*.f64 5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5 (/.f64 (*.f64 (sqrt.f64 2) x) -16)) (/.f64 (*.f64 (sqrt.f64 2) x) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -32) (*.f64 5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))) (/.f64 (*.f64 (sqrt.f64 2) x) -32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))) (-.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))) (-.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) x) 16)) (-.f64 1 (*.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/8)) 2)) (-.f64 1 (*.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -2)) -16)) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4) -2)) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/2) -4)) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -8)) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))) (-.f64 1 (neg.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/2)) 8)) (-.f64 1 (neg.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) -8)) (-.f64 1 (neg.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) -16))) (-.f64 1 (neg.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))) (-.f64 1 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) -3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/8) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) -3/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) x) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (*.f64 (sqrt.f64 2) x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 (sqrt.f64 2) x) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8))))))

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

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best-simplify-47`
1154×	`rational_best-simplify-57`
1046×	`rational_best-simplify-49`
952×	`rational_best-simplify-1`
558×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3150
1	411	2270
2	840	2238
3	2754	2238

Stop Event

1×	node limit

Counts

104 → 106

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (.f64 x 1/8)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/8) (.f64 (.f64 (sqrt.f64 2) x) -1/4))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 0)
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) x) -3/8))
(+.f64 -1 (-.f64 1 (.f64 (.f64 (sqrt.f64 2) x) 3/8)))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 8)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/4) (.f64 (.f64 (sqrt.f64 2) x) -1/8))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 5 (/.f64 (*.f64 (sqrt.f64 2) x) -16)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) (.f64 (.f64 (sqrt.f64 2) x) -1/2))
(+.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -32) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -32) (.f64 5 (/.f64 (.f64 (sqrt.f64 2) x) -16))))
(+.f64 (.f64 5 (/.f64 (.f64 (sqrt.f64 2) x) -16)) (/.f64 (*.f64 (sqrt.f64 2) x) -16))
(+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -32) (.f64 5 (/.f64 (.f64 (sqrt.f64 2) x) -16))) (/.f64 (.f64 (sqrt.f64 2) x) -32))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (-.f64 1 (.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) 2)) (-.f64 1 (.f64 -5 (/.f64 (.f64 (sqrt.f64 2) x) -16))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -16)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/4) -2)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) -4)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -8)) (-.f64 1 (.f64 (sqrt.f64 2) (*.f64 x 1/4))))
(+.f64 (-.f64 -1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 8)) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) -8)) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(+.f64 (-.f64 -1 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) -16))) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(+.f64 (-.f64 -1 (.f64 -5 (/.f64 (.f64 (sqrt.f64 2) x) -16))) (-.f64 1 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) 3/8)) 1)
(.f64 (.f64 (sqrt.f64 2) x) -3/8)
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -1/8) 3)
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 1 (.f64 (*.f64 (sqrt.f64 2) x) -3/8))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) x) 3/8))
(.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)) -3/16)
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)
(.f64 3/2 (.f64 (*.f64 (sqrt.f64 2) x) -1/4))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -3/4) 1/2)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) -3/4)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/2)) 1/4)
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) -3/4))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(.f64 1/8 (.f64 (sqrt.f64 2) (*.f64 x -3)))
(.f64 1/16 (.f64 (*.f64 (sqrt.f64 2) x) -6))
(.f64 -3 (.f64 (sqrt.f64 2) (*.f64 x 1/8)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/4)) -3/2)
(.f64 3 (.f64 (*.f64 (sqrt.f64 2) x) -1/8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/8) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/4) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) 4)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 8)
(pow.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 1)
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/8))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 3/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 0)
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/4) (.f64 (.f64 (sqrt.f64 2) x) 3/4))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (.f64 (sqrt.f64 2) x) 5/4))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (-.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 1 (.f64 (*.f64 (sqrt.f64 2) x) -1/2)))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -3/4)) (-.f64 1 (.f64 (.f64 (sqrt.f64 2) x) -3/4)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (*.f64 (sqrt.f64 2) x) -1/2))
(-.f64 0 (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 0)
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/4) (.f64 (.f64 (sqrt.f64 2) x) -3/4))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (.f64 (sqrt.f64 2) x) -5/4))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/4) -1/2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 6) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/4) 1/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) x) 6) (.f64 (.f64 (sqrt.f64 2) x) 6)) 8)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 1)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)))

Outputs
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (.f64 x 1/8)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/8) (.f64 (.f64 (sqrt.f64 2) x) -1/4))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 0)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) x) -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 -1 (-.f64 1 (.f64 (.f64 (sqrt.f64 2) x) 3/8)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 8)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/4) (.f64 (.f64 (sqrt.f64 2) x) -1/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 5 (/.f64 (*.f64 (sqrt.f64 2) x) -16)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) (.f64 (.f64 (sqrt.f64 2) x) -1/2))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -32) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -32) (.f64 5 (/.f64 (.f64 (sqrt.f64 2) x) -16))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 5 (/.f64 (.f64 (sqrt.f64 2) x) -16)) (/.f64 (*.f64 (sqrt.f64 2) x) -16))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -32) (.f64 5 (/.f64 (.f64 (sqrt.f64 2) x) -16))) (/.f64 (.f64 (sqrt.f64 2) x) -32))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (-.f64 1 (.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) -16))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (-.f64 1 (.f64 (*.f64 (sqrt.f64 2) x) 5/16)))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (-.f64 1 (.f64 (sqrt.f64 2) (*.f64 x 5/16))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/16))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 5/16))))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) 2)) (-.f64 1 (.f64 -5 (/.f64 (.f64 (sqrt.f64 2) x) -16))))
(+.f64 (-.f64 1 (.f64 (.f64 (sqrt.f64 2) x) 5/16)) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) 2)))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 5/16))) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) 2)))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -16)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -16)))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) x) 8)))
(+.f64 (-.f64 -1 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/4) -2)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -16)))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) x) 8)))
(+.f64 (-.f64 -1 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) -4)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -16)))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) x) 8)))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -8)) (-.f64 1 (.f64 (sqrt.f64 2) (*.f64 x 1/4))))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -16)))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) x) 8)))
(+.f64 (-.f64 -1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 8)) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) -8)) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (-.f64 -1 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) -16))) (-.f64 1 (neg.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) x) 16)))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (-.f64 -1 (.f64 -5 (/.f64 (.f64 (sqrt.f64 2) x) -16))) (-.f64 1 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) 5/16)) (-.f64 1 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 5/16))) (-.f64 1 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 5/16))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/16))))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) 3/8)) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) x) -3/8)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -1/8) 3)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1 (.f64 (*.f64 (sqrt.f64 2) x) -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) x) 3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)) -3/16)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 3/2 (.f64 (*.f64 (sqrt.f64 2) x) -1/4))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -3/4) 1/2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) -3/4)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/2)) 1/4)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) -3/4))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/8 (.f64 (sqrt.f64 2) (*.f64 x -3)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/16 (.f64 (*.f64 (sqrt.f64 2) x) -6))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -3 (.f64 (sqrt.f64 2) (*.f64 x 1/8)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/4)) -3/2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 3 (.f64 (*.f64 (sqrt.f64 2) x) -1/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/8) -1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/4) 2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) 4)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 8)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(pow.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 3/2)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 0)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/4) (.f64 (.f64 (sqrt.f64 2) x) 3/4))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (.f64 (sqrt.f64 2) x) 5/4))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 5/4) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -1/2)) (-.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x -1/2))) (-.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x -1/2))) (-.f64 (*.f64 (sqrt.f64 2) x) -1))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x -1/2))) (+.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 1 (.f64 (*.f64 (sqrt.f64 2) x) -1/2)))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 1 (.f64 (sqrt.f64 2) (*.f64 x -1/2))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) x) 1) (-.f64 1 (.f64 (sqrt.f64 2) (*.f64 x -1/2))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) x) -1) (-.f64 1 (.f64 (sqrt.f64 2) (*.f64 x -1/2))))
(+.f64 (-.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -3/4)) (-.f64 1 (.f64 (.f64 (sqrt.f64 2) x) -3/4)))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x -3/4))) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x -3/4))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4)) (+.f64 1 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x -3/4)))))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (*.f64 (sqrt.f64 2) x) -1/2))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(-.f64 0 (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 0)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/4) (.f64 (.f64 (sqrt.f64 2) x) -3/4))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (.f64 (sqrt.f64 2) x) -5/4))
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/4) -1/2)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 2)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) -1)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 1)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 6) 4)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/4) 1/2)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) x) 6) (.f64 (.f64 (sqrt.f64 2) x) 6)) 8)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 1)
(.f64 (sqrt.f64 2) (.f64 x 3/2))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(.f64 (sqrt.f64 2) (.f64 x 3/2))

localize93.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 8) (.f64 (sqrt.f64 2) (/.f64 x 4)))
	0.4b	(*.f64 (sqrt.f64 2) (/.f64 x 4))
	0.4b	(.f64 (sqrt.f64 2) (.f64 x 3))
	0.4b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 109 to 92 computations (15.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4)))

0.0ms

-inf

(-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4)))

0.0ms

inf

(-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 8) (*.f64 (sqrt.f64 2) (/.f64 x 4)))

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best-simplify-56`
928×	`rational_best-simplify-63`
836×	`rational_best-4`
836×	`rational_best-2`
836×	`rational_best-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	101	39
2	226	39
3	721	39
4	3685	17

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) 8) (.f64 (sqrt.f64 2) (/.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/8) (*.f64 (*.f64 (sqrt.f64 2) x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/8)) (*.f64 (*.f64 (sqrt.f64 2) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -16) (*.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4) (*.f64 (*.f64 (sqrt.f64 2) x) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 16) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/2) (*.f64 (sqrt.f64 2) (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) 16)) (/.f64 (*.f64 (sqrt.f64 2) x) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))) (+.f64 1 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4)) (-.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4)) (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/8))) (+.f64 -1 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (-.f64 (*.f64 x 1/8) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) -3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/8) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x -2)) 3/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/8)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 8) (-.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/8) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -4) (sqrt.f64 2)) 3/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 2)) (-.f64 (*.f64 x 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 16) (-.f64 (+.f64 x x) (*.f64 2 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (*.f64 (sqrt.f64 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (+.f64 (*.f64 (*.f64 x -4) (sqrt.f64 2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 8)) (*.f64 (*.f64 x -4) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 16) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (*.f64 (sqrt.f64 2) x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 (sqrt.f64 2) x) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x -3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 8)) (*.f64 (sqrt.f64 2) (*.f64 x 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (*.f64 (sqrt.f64 2) (+.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3)) (*.f64 (sqrt.f64 2) (*.f64 x 3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 3/8))))))

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational_best-simplify-63`
858×	`rational_best-simplify-1`
664×	`rational_best-simplify-67`
664×	`rational_best-simplify-48`
654×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2197
1	318	1285
2	658	1255
3	1956	1255

Stop Event

1×	node limit

Counts

65 → 66

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) x)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (-.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/8) (.f64 (.f64 (sqrt.f64 2) x) -1/4))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 0)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) x) -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/8)) (.f64 (.f64 (sqrt.f64 2) x) -1/2))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 -5 (/.f64 (*.f64 (sqrt.f64 2) x) 16)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 (*.f64 (sqrt.f64 2) x) -5/16))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 (sqrt.f64 2) (*.f64 x -5/16)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/4) (.f64 (.f64 (sqrt.f64 2) x) -1/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 16) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 16))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (.f64 x 1/8)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (.f64 -5 (/.f64 (.f64 (sqrt.f64 2) x) 16)) (/.f64 (*.f64 (sqrt.f64 2) x) -16))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 (*.f64 (sqrt.f64 2) x) -5/16))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -16) (.f64 (sqrt.f64 2) (*.f64 x -5/16)))
(+.f64 (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (+.f64 1 (.f64 (.f64 (sqrt.f64 2) x) -1/4)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 2) x) -1/4)) (-.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (+.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -1/4)) (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(+.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/8))) (+.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -1/4)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/8) (*.f64 x 1/2)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) x) -3/8)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -1/8) 3)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1 (.f64 (*.f64 (sqrt.f64 2) x) -3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) x) 3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -2)) 3/16)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/8)) -3)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) 3/8) -1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (/.f64 (sqrt.f64 2) 8) (-.f64 x (.f64 x 4)))
(.f64 (sqrt.f64 2) (/.f64 (-.f64 x (.f64 x 4)) 8))
(.f64 (.f64 x 1/8) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 4)))
(.f64 x (.f64 1/8 (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 4))))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/4))) 1/2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 (sqrt.f64 2) x) -1/4) 3/2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (*.f64 x -4) (sqrt.f64 2)) 3/32)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/2 (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/4))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/8 (.f64 (sqrt.f64 2) (*.f64 x -3)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/16 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -3))))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 1/2 (sqrt.f64 2)) (-.f64 (*.f64 x 1/4) x))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (/.f64 (sqrt.f64 2) 16) (-.f64 (+.f64 x x) (.f64 2 (*.f64 x 4))))
(.f64 (/.f64 (sqrt.f64 2) 8) (-.f64 x (.f64 x 4)))
(.f64 (sqrt.f64 2) (/.f64 (-.f64 x (.f64 x 4)) 8))
(.f64 -1/8 (.f64 (sqrt.f64 2) (*.f64 x 3)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 1/32 (+.f64 (.f64 (.f64 x -4) (sqrt.f64 2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) x) 8))))
(.f64 1/32 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) x) 8))))
(.f64 1/32 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 8)))))
(.f64 1/32 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (*.f64 (sqrt.f64 2) x) -8)))
(.f64 1/32 (+.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 8)) (.f64 (*.f64 x -4) (sqrt.f64 2))))
(.f64 1/32 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) x) 8))))
(.f64 1/32 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 8)))))
(.f64 1/32 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (*.f64 (sqrt.f64 2) x) -8)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x -3)) 16) 2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 -3 (.f64 (sqrt.f64 2) (*.f64 x 1/8)))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/2)) 1/4)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 3/2 (.f64 (*.f64 (sqrt.f64 2) x) -1/4))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(.f64 3 (.f64 (*.f64 (sqrt.f64 2) x) -1/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/8) -1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3/4))) 2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 8)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -3))) 16)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) 4)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 8)) (.f64 (sqrt.f64 2) (.f64 x 4))) 32)
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 8))) (.f64 (sqrt.f64 2) (.f64 x 4))) 32)
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 12)) 32)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (*.f64 (sqrt.f64 2) x)) 2)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (+.f64 x x))) 4)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x 3))) 16)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(pow.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/8) 1)
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 3/8))
(.f64 (-.f64 (.f64 -1/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4)) x)
(.f64 (sqrt.f64 2) (.f64 x -3/8))

eval795.0ms (10.7%)

Compiler: Compiled 19914 to 17235 computations (13.5% saved)

prune177.0ms (2.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	636	4	640
Fresh	0	0	0
Picked	1	0	1
Done	2	5	7
Total	639	9	648

Error

0.0b

Counts

648 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.8b	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
▶	31.8b	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (.f64 x 3/2)))
✓	32.4b	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	31.9b	(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x)))
▶	31.8b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (.f64 x -3/4))))
▶	31.7b	(.f64 (sqrt.f64 2) (+.f64 (.f64 x 3/8) (*.f64 x 5/8)))
✓	31.3b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	31.7b	(*.f64 (sqrt.f64 2) x)
✓	28.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 89 to 70 computations (21.3% saved)

localize61.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 x 3/8) (.f64 x 5/8))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (.f64 x 3/8) (*.f64 x 5/8)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (+.f64 (.f64 x 3/8) (*.f64 x 5/8)))
0.0ms	x	@	inf	(+.f64 (.f64 x 3/8) (.f64 x 5/8))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (+.f64 (.f64 x 3/8) (*.f64 x 5/8)))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (+.f64 (.f64 x 3/8) (*.f64 x 5/8)))
0.0ms	x	@	-inf	(+.f64 (.f64 x 3/8) (.f64 x 5/8))

rewrite162.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`rational_best-simplify-1`
724×	`rational_best-simplify-83`
624×	`rational_best-simplify-47`
530×	`rational_best-simplify-52`
522×	`rational_best-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	80	12
2	147	12
3	340	12
4	1181	12
5	7192	12

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 3/8) (*.f64 x 5/8)))
(+.f64 (.f64 x 3/8) (.f64 x 5/8))

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) (*.f64 x 1/2)) (*.f64 (sqrt.f64 2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4))))) (#(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) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 4) (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 2) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4))) (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 4)) (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)) (*.f64 2 (*.f64 x 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)) (*.f64 2 (*.f64 (sqrt.f64 2) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -1/2) (*.f64 (sqrt.f64 2) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -1/2) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -1/2) (sqrt.f64 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -1/2) (*.f64 2 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -1/2) (*.f64 (sqrt.f64 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -2) (*.f64 2 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -2) (*.f64 (sqrt.f64 2) 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -2) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x -2) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)) (*.f64 2 (*.f64 (sqrt.f64 2) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (*.f64 (sqrt.f64 2) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (/.f64 x -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 2 (*.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 x -1/2) (/.f64 x -1/2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (*.f64 x 3/2)) (neg.f64 (*.f64 x 5/2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (neg.f64 (*.f64 x 3/2)) (*.f64 x 5/2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (neg.f64 (*.f64 x 5/2)) (*.f64 x 3/2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (neg.f64 (*.f64 x 3/2)) (+.f64 (*.f64 x 5/4) (*.f64 x -3/4)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (/.f64 (sqrt.f64 2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 (sqrt.f64 2) -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) (neg.f64 (sqrt.f64 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 (/.f64 x -2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/8) (*.f64 x -5/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/8) (-.f64 (*.f64 x 5/8) (*.f64 x 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/8) (+.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)) (*.f64 x -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5/8) (*.f64 x -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5/8) (-.f64 (*.f64 x 5/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5/8) (+.f64 (-.f64 (*.f64 x 5/8) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5/8) (+.f64 (/.f64 x -2) (/.f64 (-.f64 (*.f64 x 5/4) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)) (*.f64 x -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (*.f64 x 5/4) x) (neg.f64 (*.f64 x 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/4) (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/4) (+.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/4) (/.f64 (neg.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/4) (/.f64 (/.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5/4) (-.f64 (*.f64 x 5/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 13/8) (*.f64 x 5/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5/2) (+.f64 (-.f64 (*.f64 x 5/4) x) (*.f64 x 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3/8) 2) (neg.f64 (/.f64 (*.f64 x 13/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3/8) 2) (+.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)) (neg.f64 (/.f64 (*.f64 x 9/8) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3/8) 2) (+.f64 (/.f64 (*.f64 x 3/4) -4) (*.f64 x -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3/8) 2) (/.f64 (neg.f64 (*.f64 x 13/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 5/8) 2) (neg.f64 (/.f64 (*.f64 x 11/4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 5/8) 2) (+.f64 (/.f64 (*.f64 x 5/8) -2) (*.f64 x -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 5/8) 2) (+.f64 (-.f64 (*.f64 x 5/8) x) (/.f64 (*.f64 x 5/8) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 5/8) 2) (/.f64 (*.f64 (neg.f64 x) 11/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 5/4) x) (*.f64 x -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 9/8) 2) (+.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)) (/.f64 (*.f64 x 3/4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 15/8) 2) (-.f64 (*.f64 x 5/8) (/.f64 (*.f64 x 11/4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 11/4) 4) (/.f64 (*.f64 x 5/8) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 11/4) 4) (-.f64 (/.f64 (*.f64 x 5/8) 2) (*.f64 x 5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 13/8) 2) (/.f64 (*.f64 x 3/4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 9/4) 2) (/.f64 (-.f64 (*.f64 x 5/4) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 9/4) 2) (-.f64 (*.f64 x 5/8) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (*.f64 x -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (*.f64 -3 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 x 3/8) 4) (/.f64 (*.f64 x 3/8) 2)) (-.f64 (*.f64 x -5/8) (/.f64 (*.f64 x 3/8) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 x 5/8) 4) (/.f64 (*.f64 x 5/8) 2)) (-.f64 (*.f64 x -3/8) (/.f64 (*.f64 x 5/8) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 4) (*.f64 x 1/2)) (neg.f64 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 x 5/8) 2) (-.f64 (*.f64 x 5/8) x)) (/.f64 (*.f64 x 5/8) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 3/8) (+.f64 (*.f64 x 3/8) (*.f64 x -5/8))) (*.f64 x -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8))) (*.f64 x -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 x 3/8) 2) (+.f64 (*.f64 x 3/8) (*.f64 x -5/8))) (neg.f64 (/.f64 (*.f64 x 9/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 x 9/8) 2) (+.f64 (*.f64 x 3/8) (*.f64 x -5/8))) (/.f64 (*.f64 x 3/4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 x 15/8) 2) (-.f64 (*.f64 x 5/4) x)) (/.f64 (*.f64 x 5/8) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 5/8) (/.f64 x -2)) (/.f64 (-.f64 (*.f64 x 5/4) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 x 5/8) 2) (/.f64 x -2)) (/.f64 (*.f64 x 3/4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (-.f64 (*.f64 x 5/4) x)) (neg.f64 (*.f64 x 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 x 3/8) (*.f64 x 1/2)) 2) (/.f64 (neg.f64 (/.f64 (*.f64 x 9/4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 x 9/4) 2) 2) (/.f64 (+.f64 (*.f64 x -3/8) (/.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 x 5/4) (*.f64 x 1/2)) 2) (/.f64 (-.f64 (-.f64 (*.f64 x 5/4) x) (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 4) (*.f64 x 5/8)) (-.f64 (/.f64 (-.f64 (*.f64 x 5/4) x) 2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 4) (/.f64 (*.f64 x 3/8) 2)) (-.f64 (/.f64 (*.f64 x 5/8) -2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x 4) (/.f64 (*.f64 x 5/8) 2)) (-.f64 (/.f64 (*.f64 x 3/4) -4) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 3) (*.f64 5/4 (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 5/4 (*.f64 x 4)) (*.f64 x 3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 5/2) (neg.f64 (*.f64 x 3/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 3/2) (neg.f64 (*.f64 x 5/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (*.f64 x 3/8) (*.f64 x -5/8)) (*.f64 x -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (-.f64 (*.f64 x 5/4) x) (neg.f64 (*.f64 x 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational_best-simplify-48`
1188×	`rational_best-simplify-52`
1164×	`rational_best-simplify-55`
950×	`rational_best-simplify-1`
856×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	2572
1	878	2290
2	2757	2168

Stop Event

1×	node limit

Counts

160 → 194

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 2) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (.f64 (sqrt.f64 2) (.f64 x 1/2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 4))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) 2)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 1/2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) -2)
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) 4)) -4)
(/.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4)))) -8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 (.f64 x 4) (.f64 (sqrt.f64 2) 4)) (.f64 (.f64 x 4) (.f64 (sqrt.f64 2) 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 x 4))) 64)
(/.f64 (.f64 (neg.f64 x) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 (sqrt.f64 2) 4)))) -16)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 (sqrt.f64 2) 4)) -8)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 2 (*.f64 (sqrt.f64 2) 4))) -16)
(/.f64 (*.f64 (/.f64 x -1/2) (sqrt.f64 2)) -2)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 2 (sqrt.f64 2))) -4)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 (sqrt.f64 2) 1/2)) -1)
(/.f64 (.f64 (/.f64 x -2) (.f64 2 (sqrt.f64 2))) -1)
(/.f64 (.f64 (/.f64 x -2) (.f64 (sqrt.f64 2) 4)) -2)
(/.f64 (.f64 (/.f64 x -2) (.f64 2 (*.f64 (sqrt.f64 2) 4))) -4)
(/.f64 (.f64 (/.f64 x -2) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 (sqrt.f64 2) 4)))) -8)
(/.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) -2)
(/.f64 (.f64 x (neg.f64 (.f64 (sqrt.f64 2) 4))) -4)
(/.f64 (.f64 x (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4)))) -8)
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 x -1/2)) -2)
(/.f64 (.f64 (sqrt.f64 2) (neg.f64 (.f64 x 4))) -4)
(/.f64 (.f64 (sqrt.f64 2) (neg.f64 (.f64 2 (*.f64 x 4)))) -8)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 x -1/2) (/.f64 x -1/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (.f64 x 3/2)) (neg.f64 (*.f64 x 5/2)))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 3/2)) (*.f64 x 5/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 5/2)) (*.f64 x 3/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 3/2)) (+.f64 (.f64 x 5/4) (.f64 x -3/4)))) -2)
(/.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 2))) -2)
(/.f64 (*.f64 (+.f64 x x) (/.f64 (sqrt.f64 2) -2)) -1)
(/.f64 (.f64 (+.f64 x x) (.f64 (sqrt.f64 2) -2)) -4)
(/.f64 (.f64 (.f64 x 1/2) (neg.f64 (sqrt.f64 2))) -1/2)
(/.f64 (.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) -2)) -1)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 x 0)
(-.f64 x (+.f64 (/.f64 x -2) (*.f64 x 1/2)))
(-.f64 (.f64 x 3/8) (.f64 x -5/8))
(-.f64 (.f64 x 3/8) (-.f64 (.f64 x 5/8) (*.f64 x 5/4)))
(-.f64 (.f64 x 3/8) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (.f64 x -3/8)))
(-.f64 (.f64 x 5/8) (.f64 x -3/8))
(-.f64 (.f64 x 5/8) (-.f64 (.f64 x 5/8) x))
(-.f64 (.f64 x 5/8) (+.f64 (-.f64 (.f64 x 5/8) x) 0))
(-.f64 (.f64 x 5/8) (+.f64 (/.f64 x -2) (/.f64 (-.f64 (.f64 x 5/4) x) 2)))
(-.f64 0 (neg.f64 x))
(-.f64 0 (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (*.f64 x -3/4)))
(-.f64 0 (+.f64 (-.f64 (.f64 x 5/4) x) (neg.f64 (.f64 x 5/4))))
(-.f64 (.f64 x 3/4) (+.f64 (.f64 x 3/8) (*.f64 x -5/8)))
(-.f64 (.f64 x 3/4) (+.f64 (+.f64 (.f64 x 3/8) (*.f64 x -5/8)) 0))
(-.f64 (*.f64 x 3/4) (/.f64 (neg.f64 x) 4))
(-.f64 (*.f64 x 3/4) (/.f64 (/.f64 x -2) 2))
(-.f64 (.f64 x 5/4) (-.f64 (.f64 x 5/4) x))
(-.f64 (.f64 x 13/8) (.f64 x 5/8))
(-.f64 (*.f64 x 1/2) (/.f64 x -2))
(-.f64 (.f64 x 5/2) (+.f64 (-.f64 (.f64 x 5/4) x) (*.f64 x 5/4)))
(-.f64 (/.f64 (.f64 x 3/8) 2) (neg.f64 (/.f64 (.f64 x 13/8) 2)))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (neg.f64 (/.f64 (.f64 x 9/8) 2))))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (/.f64 (.f64 x 3/4) -4) (*.f64 x -5/8)))
(-.f64 (/.f64 (.f64 x 3/8) 2) (/.f64 (neg.f64 (.f64 x 13/8)) 2))
(-.f64 (/.f64 (.f64 x 5/8) 2) (neg.f64 (/.f64 (.f64 x 11/4) 4)))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (/.f64 (.f64 x 5/8) -2) (*.f64 x -3/8)))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (-.f64 (.f64 x 5/8) x) (/.f64 (*.f64 x 5/8) -2)))
(-.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 (.f64 (neg.f64 x) 11/8) 2))
(-.f64 (-.f64 (.f64 x 5/4) x) (.f64 x -3/4))
(-.f64 (/.f64 (.f64 x 9/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (/.f64 (.f64 x 3/4) -4)))
(-.f64 (/.f64 (.f64 x 15/8) 2) (-.f64 (.f64 x 5/8) (/.f64 (*.f64 x 11/4) 4)))
(-.f64 (/.f64 (.f64 x 11/4) 4) (/.f64 (.f64 x 5/8) -2))
(-.f64 (/.f64 (.f64 x 11/4) 4) (-.f64 (/.f64 (.f64 x 5/8) 2) (*.f64 x 5/8)))
(-.f64 (/.f64 (.f64 x 13/8) 2) (/.f64 (.f64 x 3/4) -4))
(-.f64 (/.f64 (.f64 x 9/4) 2) (/.f64 (-.f64 (.f64 x 5/4) x) 2))
(-.f64 (/.f64 (.f64 x 9/4) 2) (-.f64 (.f64 x 5/8) (*.f64 x 1/2)))
(-.f64 (/.f64 x 4) (*.f64 x -3/4))
(-.f64 (/.f64 x 4) (*.f64 -3 (/.f64 x 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 3/8) 4) (/.f64 (.f64 x 3/8) 2)) (-.f64 (.f64 x -5/8) (/.f64 (.f64 x 3/8) 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 5/8) 4) (/.f64 (.f64 x 5/8) 2)) (-.f64 (.f64 x -3/8) (/.f64 (.f64 x 5/8) 4)))
(-.f64 (+.f64 (/.f64 x 4) (*.f64 x 1/2)) (neg.f64 (/.f64 x 4)))
(-.f64 (-.f64 (/.f64 (.f64 x 5/8) 2) (-.f64 (.f64 x 5/8) x)) (/.f64 (*.f64 x 5/8) -2))
(-.f64 (-.f64 (.f64 x 3/8) (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (.f64 x -3/8))
(-.f64 (neg.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (*.f64 x -3/4))
(-.f64 (-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (neg.f64 (/.f64 (.f64 x 9/8) 2)))
(-.f64 (-.f64 (/.f64 (.f64 x 9/8) 2) (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (/.f64 (.f64 x 3/4) -4))
(-.f64 (-.f64 (/.f64 (.f64 x 15/8) 2) (-.f64 (.f64 x 5/4) x)) (/.f64 (*.f64 x 5/8) -2))
(-.f64 (-.f64 (.f64 x 5/8) (/.f64 x -2)) (/.f64 (-.f64 (.f64 x 5/4) x) 2))
(-.f64 (-.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 x -2)) (/.f64 (.f64 x 3/4) -4))
(-.f64 (neg.f64 (-.f64 (.f64 x 5/4) x)) (neg.f64 (.f64 x 5/4)))
(-.f64 (/.f64 (+.f64 (.f64 x 3/8) (.f64 x 1/2)) 2) (/.f64 (neg.f64 (/.f64 (*.f64 x 9/4) 2)) 2))
(-.f64 (/.f64 (/.f64 (.f64 x 9/4) 2) 2) (/.f64 (+.f64 (.f64 x -3/8) (/.f64 x -2)) 2))
(-.f64 (/.f64 (+.f64 (.f64 x 5/4) (.f64 x 1/2)) 2) (/.f64 (-.f64 (-.f64 (.f64 x 5/4) x) (.f64 x 1/2)) 2))
(-.f64 (+.f64 (/.f64 x 4) (.f64 x 5/8)) (-.f64 (/.f64 (-.f64 (.f64 x 5/4) x) 2) (/.f64 x 4)))
(-.f64 (+.f64 (/.f64 x 4) (/.f64 (.f64 x 3/8) 2)) (-.f64 (/.f64 (.f64 x 5/8) -2) (/.f64 x 4)))
(-.f64 (+.f64 (/.f64 x 4) (/.f64 (.f64 x 5/8) 2)) (-.f64 (/.f64 (.f64 x 3/4) -4) (/.f64 x 4)))
(.f64 2 (.f64 x 1/2))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (+.f64 x x) 1/2)
(*.f64 -2 (/.f64 x -2))
(*.f64 1/2 (+.f64 x x))
(.f64 (.f64 x 1/2) 2)
(*.f64 (neg.f64 x) -1)
(.f64 (.f64 x 4) 1/4)
(.f64 1/4 (.f64 x 4))
(.f64 (.f64 2 (*.f64 x 4)) 1/8)
(.f64 1/8 (.f64 2 (*.f64 x 4)))
(/.f64 x 1)
(/.f64 (+.f64 x x) 2)
(/.f64 (neg.f64 x) -1)
(/.f64 (*.f64 x 4) 4)
(/.f64 (.f64 2 (.f64 x 4)) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 5/4 (*.f64 x 4))) 8)
(/.f64 (+.f64 (.f64 5/4 (.f64 x 4)) (*.f64 x 3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) 16)
(/.f64 (-.f64 (.f64 x 5/2) (neg.f64 (.f64 x 3/2))) 4)
(/.f64 (-.f64 (.f64 x 3/2) (neg.f64 (.f64 x 5/2))) 4)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(neg.f64 (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (*.f64 x -3/4)))
(neg.f64 (+.f64 (-.f64 (.f64 x 5/4) x) (neg.f64 (.f64 x 5/4))))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
x
x
x
x
x
x
x
x
x
x
x
x
(+.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) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (.f64 (sqrt.f64 2) x) 4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 2) 2))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3))) 4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) 4)
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3)) 4))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3))) 4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) 4)
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (.f64 (sqrt.f64 2) (.f64 x 1/2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) 2))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3))) 4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) 4)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 4))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3))) 4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) 4)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) 2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 1/2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) 4)) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4)))) -8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4)))) 16)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (.f64 (.f64 x 4) (.f64 (sqrt.f64 2) 4)) (.f64 (.f64 x 4) (.f64 (sqrt.f64 2) 4))) 32)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 x 4))) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (*.f64 x 8)) 64)
(/.f64 (.f64 (neg.f64 x) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 (sqrt.f64 2) 4)))) -16)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 (sqrt.f64 2) 4)) -8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 2 (*.f64 (sqrt.f64 2) 4))) -16)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (/.f64 x -1/2) (sqrt.f64 2)) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 2 (sqrt.f64 2))) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -1/2) (.f64 (sqrt.f64 2) 1/2)) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -2) (.f64 2 (sqrt.f64 2))) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -2) (.f64 (sqrt.f64 2) 4)) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -2) (.f64 2 (*.f64 (sqrt.f64 2) 4))) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (/.f64 x -2) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 (sqrt.f64 2) 4)))) -8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 x (neg.f64 (.f64 (sqrt.f64 2) 4))) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 x (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4)))) -8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 x -1/2)) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (neg.f64 (.f64 x 4))) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (neg.f64 (.f64 2 (*.f64 x 4)))) -8)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 x -1/2) (/.f64 x -1/2))) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (.f64 x 3/2)) (neg.f64 (*.f64 x 5/2)))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 3/2)) (*.f64 x 5/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 3/2)) (*.f64 x 5/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (.f64 x 3/2)) (neg.f64 (*.f64 x 5/2)))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 5/2)) (*.f64 x 3/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (.f64 x 3/2)) (neg.f64 (*.f64 x 5/2)))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 3/2)) (*.f64 x 5/2))) -4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (neg.f64 (.f64 x 3/2)) (+.f64 (.f64 x 5/4) (.f64 x -3/4)))) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 2))) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (+.f64 x x) (/.f64 (sqrt.f64 2) -2)) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (+.f64 x x) (.f64 (sqrt.f64 2) -2)) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 x 1/2) (neg.f64 (sqrt.f64 2))) -1/2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) -2)) -1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 x 0)
x
(-.f64 x (+.f64 (/.f64 x -2) (*.f64 x 1/2)))
x
(-.f64 (.f64 x 3/8) (.f64 x -5/8))
x
(-.f64 (.f64 x 3/8) (-.f64 (.f64 x 5/8) (*.f64 x 5/4)))
x
(-.f64 (.f64 x 3/8) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (.f64 x -3/8)))
x
(-.f64 (.f64 x 5/8) (.f64 x -3/8))
x
(-.f64 (.f64 x 5/8) (-.f64 (.f64 x 5/8) x))
x
(-.f64 (.f64 x 5/8) (+.f64 (-.f64 (.f64 x 5/8) x) 0))
x
(-.f64 (.f64 x 5/8) (+.f64 (/.f64 x -2) (/.f64 (-.f64 (.f64 x 5/4) x) 2)))
(-.f64 (-.f64 (.f64 x 5/8) (/.f64 x -2)) (/.f64 (-.f64 (.f64 x 5/4) x) 2))
(-.f64 (-.f64 (.f64 x 5/8) (/.f64 x -2)) (/.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 5/8) (/.f64 x 8)))
(-.f64 0 (neg.f64 x))
x
(-.f64 0 (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (*.f64 x -3/4)))
x
(-.f64 0 (+.f64 (-.f64 (.f64 x 5/4) x) (neg.f64 (.f64 x 5/4))))
x
(-.f64 (.f64 x 3/4) (+.f64 (.f64 x 3/8) (*.f64 x -5/8)))
x
(-.f64 (.f64 x 3/4) (+.f64 (+.f64 (.f64 x 3/8) (*.f64 x -5/8)) 0))
x
(-.f64 (*.f64 x 3/4) (/.f64 (neg.f64 x) 4))
x
(-.f64 (*.f64 x 3/4) (/.f64 (/.f64 x -2) 2))
x
(-.f64 (.f64 x 5/4) (-.f64 (.f64 x 5/4) x))
x
(-.f64 (.f64 x 13/8) (.f64 x 5/8))
x
(-.f64 (*.f64 x 1/2) (/.f64 x -2))
x
(-.f64 (.f64 x 5/2) (+.f64 (-.f64 (.f64 x 5/4) x) (*.f64 x 5/4)))
(-.f64 (.f64 x 5/2) (+.f64 (.f64 x 5/4) (-.f64 (*.f64 x 5/4) x)))
(-.f64 (.f64 x 5/2) (+.f64 (.f64 x 5/4) (*.f64 x 1/4)))
(-.f64 (.f64 x 5/2) (.f64 x 3/2))
(-.f64 (/.f64 (.f64 x 3/8) 2) (neg.f64 (/.f64 (.f64 x 13/8) 2)))
(/.f64 (-.f64 (.f64 x 3/8) (neg.f64 (.f64 x 13/8))) 2)
(/.f64 (-.f64 (.f64 x 13/8) (.f64 x -3/8)) 2)
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (neg.f64 (/.f64 (.f64 x 9/8) 2))))
(-.f64 (/.f64 (.f64 x 3/2) 8) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x 9/4) -4)))
(-.f64 (/.f64 (.f64 x 7/8) 2) (.f64 (*.f64 x 9/8) -1/2))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (/.f64 (.f64 x 3/4) -4) (*.f64 x -5/8)))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (.f64 x -5/8) (/.f64 (*.f64 x 3/4) -4)))
(-.f64 (/.f64 (.f64 x 3/2) 8) (+.f64 (.f64 x -5/8) (/.f64 (*.f64 x 3/4) -4)))
(+.f64 (/.f64 (.f64 x 3/2) 8) (-.f64 (/.f64 (.f64 x 3/2) 8) (*.f64 x -5/8)))
(-.f64 (/.f64 (.f64 x 3/8) 2) (/.f64 (neg.f64 (.f64 x 13/8)) 2))
(-.f64 (/.f64 (.f64 x 3/8) 2) (neg.f64 (/.f64 (.f64 x 13/8) 2)))
(/.f64 (-.f64 (.f64 x 3/8) (neg.f64 (.f64 x 13/8))) 2)
(/.f64 (-.f64 (.f64 x 13/8) (.f64 x -3/8)) 2)
(-.f64 (/.f64 (.f64 x 5/8) 2) (neg.f64 (/.f64 (.f64 x 11/4) 4)))
(-.f64 (/.f64 (.f64 x 5/4) 4) (/.f64 (.f64 x 11/4) -4))
(-.f64 (/.f64 (.f64 x 5/8) 2) (.f64 (*.f64 x 11/4) -1/4))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (/.f64 (.f64 x 5/8) -2) (*.f64 x -3/8)))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (.f64 x -3/8) (/.f64 (*.f64 x 5/8) -2)))
(-.f64 (/.f64 (.f64 x 5/4) 4) (+.f64 (.f64 x -3/8) (/.f64 (*.f64 x 5/4) -4)))
(-.f64 x (-.f64 (/.f64 (.f64 x 5/8) -2) (.f64 -1/2 (*.f64 x 5/8))))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (-.f64 (.f64 x 5/8) x) (/.f64 (*.f64 x 5/8) -2)))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (.f64 x -3/8) (/.f64 (*.f64 x 5/8) -2)))
(-.f64 (/.f64 (.f64 x 5/4) 4) (+.f64 (.f64 x -3/8) (/.f64 (*.f64 x 5/4) -4)))
(-.f64 x (-.f64 (/.f64 (.f64 x 5/8) -2) (.f64 -1/2 (*.f64 x 5/8))))
(-.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 (.f64 (neg.f64 x) 11/8) 2))
(/.f64 (-.f64 (.f64 x 5/8) (.f64 (neg.f64 x) 11/8)) 2)
(/.f64 (-.f64 (.f64 x 5/8) (.f64 x -11/8)) 2)
(-.f64 (-.f64 (.f64 x 5/4) x) (.f64 x -3/4))
x
(-.f64 (/.f64 (.f64 x 9/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (/.f64 (.f64 x 3/4) -4)))
(-.f64 (-.f64 (/.f64 (.f64 x 9/8) 2) (/.f64 (.f64 x 3/4) -4)) (+.f64 (.f64 x 3/8) (.f64 x -5/8)))
(-.f64 (/.f64 (.f64 x 9/8) 2) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x 3/4) -4)))
(+.f64 (/.f64 x 4) (-.f64 (/.f64 (.f64 x 9/8) 2) (/.f64 (.f64 x 3/2) -8)))
(-.f64 (/.f64 (.f64 x 15/8) 2) (-.f64 (.f64 x 5/8) (/.f64 (*.f64 x 11/4) 4)))
(-.f64 (/.f64 (.f64 x 11/4) 4) (-.f64 (.f64 x 5/8) (/.f64 (*.f64 x 15/8) 2)))
(-.f64 (/.f64 (.f64 x 11/4) 4) (/.f64 (.f64 x 5/8) -2))
(-.f64 (/.f64 (.f64 x 11/4) 4) (/.f64 (.f64 x 5/4) -4))
(-.f64 (/.f64 (.f64 x 11/4) 4) (-.f64 (/.f64 (.f64 x 5/8) 2) (*.f64 x 5/8)))
(-.f64 (/.f64 (.f64 x 5/8) 2) (neg.f64 (/.f64 (.f64 x 11/4) 4)))
(-.f64 (/.f64 (.f64 x 5/4) 4) (/.f64 (.f64 x 11/4) -4))
(-.f64 (/.f64 (.f64 x 5/8) 2) (.f64 (*.f64 x 11/4) -1/4))
(-.f64 (/.f64 (.f64 x 13/8) 2) (/.f64 (.f64 x 3/4) -4))
(-.f64 (/.f64 (.f64 x 13/4) 4) (/.f64 (.f64 x 3/4) -4))
(-.f64 (/.f64 (.f64 x 13/4) 4) (/.f64 (.f64 x 3/2) -8))
(-.f64 (/.f64 (.f64 x 9/4) 2) (/.f64 (-.f64 (.f64 x 5/4) x) 2))
x
(-.f64 (/.f64 (.f64 x 9/4) 2) (-.f64 (.f64 x 5/8) (*.f64 x 1/2)))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 x 5/8) (/.f64 (*.f64 x 9/4) 2)))
(-.f64 (/.f64 (.f64 x 9/4) 2) (.f64 x 1/8))
(-.f64 (/.f64 x 4) (*.f64 x -3/4))
x
(-.f64 (/.f64 x 4) (*.f64 -3 (/.f64 x 4)))
x
(-.f64 (+.f64 (/.f64 (.f64 x 3/8) 4) (/.f64 (.f64 x 3/8) 2)) (-.f64 (.f64 x -5/8) (/.f64 (.f64 x 3/8) 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 3/8) 2) (/.f64 (.f64 x 3/8) 4)) (-.f64 (.f64 x -5/8) (/.f64 (.f64 x 3/8) 4)))
(-.f64 (/.f64 (.f64 x 3/4) 8) (-.f64 (.f64 x -5/8) (/.f64 (+.f64 (.f64 x 3/8) (.f64 x 3/4)) 4)))
(-.f64 (/.f64 (.f64 x 3/2) 16) (-.f64 (.f64 x -5/8) (/.f64 (+.f64 (.f64 x 3/8) (.f64 x 3/4)) 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 5/8) 4) (/.f64 (.f64 x 5/8) 2)) (-.f64 (.f64 x -3/8) (/.f64 (.f64 x 5/8) 4)))
(-.f64 (/.f64 (.f64 x 5/8) 4) (-.f64 (.f64 x -3/8) (+.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 (.f64 x 5/8) 4))))
(-.f64 (/.f64 (.f64 x 5/4) 8) (-.f64 (.f64 x -3/8) (/.f64 (+.f64 (.f64 x 5/4) (.f64 x 5/8)) 4)))
(-.f64 (/.f64 (.f64 x 5/8) 4) (-.f64 (.f64 x -3/8) (/.f64 (+.f64 (.f64 x 5/4) (.f64 x 5/8)) 4)))
(-.f64 (+.f64 (/.f64 x 4) (*.f64 x 1/2)) (neg.f64 (/.f64 x 4)))
x
(-.f64 (-.f64 (/.f64 (.f64 x 5/8) 2) (-.f64 (.f64 x 5/8) x)) (/.f64 (*.f64 x 5/8) -2))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (.f64 x -3/8) (/.f64 (*.f64 x 5/8) -2)))
(-.f64 (/.f64 (.f64 x 5/4) 4) (+.f64 (.f64 x -3/8) (/.f64 (*.f64 x 5/4) -4)))
(-.f64 x (-.f64 (/.f64 (.f64 x 5/8) -2) (.f64 -1/2 (*.f64 x 5/8))))
(-.f64 (-.f64 (.f64 x 3/8) (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (.f64 x -3/8))
x
(-.f64 (neg.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (*.f64 x -3/4))
x
(-.f64 (-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (neg.f64 (/.f64 (.f64 x 9/8) 2)))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (neg.f64 (/.f64 (.f64 x 9/8) 2))))
(-.f64 (/.f64 (.f64 x 3/2) 8) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x 9/4) -4)))
(-.f64 (/.f64 (.f64 x 7/8) 2) (.f64 (*.f64 x 9/8) -1/2))
(-.f64 (-.f64 (/.f64 (.f64 x 9/8) 2) (+.f64 (.f64 x 3/8) (.f64 x -5/8))) (/.f64 (.f64 x 3/4) -4))
(-.f64 (-.f64 (/.f64 (.f64 x 9/8) 2) (/.f64 (.f64 x 3/4) -4)) (+.f64 (.f64 x 3/8) (.f64 x -5/8)))
(-.f64 (/.f64 (.f64 x 9/8) 2) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x 3/4) -4)))
(+.f64 (/.f64 x 4) (-.f64 (/.f64 (.f64 x 9/8) 2) (/.f64 (.f64 x 3/2) -8)))
(-.f64 (-.f64 (/.f64 (.f64 x 15/8) 2) (-.f64 (.f64 x 5/4) x)) (/.f64 (*.f64 x 5/8) -2))
(-.f64 (/.f64 (.f64 x 15/8) 2) (+.f64 (/.f64 (.f64 x 5/8) -2) (-.f64 (*.f64 x 5/4) x)))
(-.f64 (-.f64 (/.f64 (.f64 x 15/8) 2) (.f64 x 1/4)) (/.f64 (*.f64 x 5/4) -4))
(+.f64 (.f64 x -1/4) (-.f64 (/.f64 (.f64 x 15/8) 2) (/.f64 (*.f64 x 5/8) -2)))
(-.f64 (-.f64 (.f64 x 5/8) (/.f64 x -2)) (/.f64 (-.f64 (.f64 x 5/4) x) 2))
(-.f64 (-.f64 (.f64 x 5/8) (/.f64 x -2)) (/.f64 (.f64 x 1/4) 2))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 5/8) (/.f64 x 8)))
(-.f64 (-.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 x -2)) (/.f64 (.f64 x 3/4) -4))
(-.f64 (/.f64 (.f64 x 5/8) 2) (+.f64 (/.f64 (.f64 x 3/4) -4) (/.f64 x -2)))
(+.f64 (-.f64 (/.f64 (.f64 x 5/4) 4) (/.f64 (.f64 x 3/4) -4)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (-.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 (*.f64 x 3/2) -8)))
(-.f64 (neg.f64 (-.f64 (.f64 x 5/4) x)) (neg.f64 (.f64 x 5/4)))
x
(-.f64 (/.f64 (+.f64 (.f64 x 3/8) (.f64 x 1/2)) 2) (/.f64 (neg.f64 (/.f64 (*.f64 x 9/4) 2)) 2))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (neg.f64 (/.f64 (.f64 x 9/8) 2))))
(-.f64 (/.f64 (.f64 x 3/2) 8) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x 9/4) -4)))
(-.f64 (/.f64 (.f64 x 7/8) 2) (.f64 (*.f64 x 9/8) -1/2))
(-.f64 (/.f64 (/.f64 (.f64 x 9/4) 2) 2) (/.f64 (+.f64 (.f64 x -3/8) (/.f64 x -2)) 2))
(-.f64 (/.f64 (.f64 x 3/8) 2) (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (neg.f64 (/.f64 (.f64 x 9/8) 2))))
(-.f64 (/.f64 (.f64 x 3/2) 8) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x 9/4) -4)))
(-.f64 (/.f64 (.f64 x 7/8) 2) (.f64 (*.f64 x 9/8) -1/2))
(-.f64 (/.f64 (+.f64 (.f64 x 5/4) (.f64 x 1/2)) 2) (/.f64 (-.f64 (-.f64 (.f64 x 5/4) x) (.f64 x 1/2)) 2))
x
(-.f64 (+.f64 (/.f64 x 4) (.f64 x 5/8)) (-.f64 (/.f64 (-.f64 (.f64 x 5/4) x) 2) (/.f64 x 4)))
(-.f64 (/.f64 x 4) (-.f64 (/.f64 (-.f64 (.f64 x 5/4) x) 2) (+.f64 (.f64 x 5/8) (/.f64 x 4))))
(-.f64 (/.f64 x 4) (+.f64 (-.f64 (/.f64 (.f64 x 1/4) 2) (.f64 x 5/8)) (/.f64 x -4)))
(-.f64 (.f64 x 5/8) (+.f64 (.f64 x -1/4) (/.f64 x -8)))
(-.f64 (+.f64 (/.f64 x 4) (/.f64 (.f64 x 3/8) 2)) (-.f64 (/.f64 (.f64 x 5/8) -2) (/.f64 x 4)))
(-.f64 (/.f64 x 4) (-.f64 (/.f64 (.f64 x 5/8) -2) (+.f64 (/.f64 (.f64 x 3/8) 2) (/.f64 x 4))))
(-.f64 (/.f64 (+.f64 (.f64 x 3/4) x) 4) (-.f64 (/.f64 (.f64 x 5/4) -4) (/.f64 x 4)))
(-.f64 (/.f64 x 4) (-.f64 (/.f64 (.f64 x 5/8) -2) (/.f64 (.f64 x 7/8) 2)))
(-.f64 (+.f64 (/.f64 x 4) (/.f64 (.f64 x 5/8) 2)) (-.f64 (/.f64 (.f64 x 3/4) -4) (/.f64 x 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 5/8) 2) (/.f64 x 4)) (-.f64 (/.f64 (.f64 x 3/4) -4) (/.f64 x 4)))
(-.f64 (/.f64 (.f64 x 9/8) 2) (-.f64 (/.f64 (.f64 x 3/4) -4) (/.f64 x 4)))
(-.f64 (/.f64 x 4) (-.f64 (/.f64 (.f64 x 3/2) -8) (/.f64 (.f64 x 9/8) 2)))
(.f64 2 (.f64 x 1/2))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 -2 (/.f64 x -2))
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 (.f64 x 1/2) 2)
x
(*.f64 (neg.f64 x) -1)
x
(.f64 (.f64 x 4) 1/4)
x
(.f64 1/4 (.f64 x 4))
x
(.f64 (.f64 2 (*.f64 x 4)) 1/8)
x
(.f64 1/8 (.f64 2 (*.f64 x 4)))
x
(/.f64 x 1)
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (*.f64 x 4) 4)
x
(/.f64 (.f64 2 (.f64 x 4)) 8)
x
(/.f64 (+.f64 (.f64 x 3) (.f64 5/4 (*.f64 x 4))) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 (*.f64 x 4) 5/4)) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 x 5)) 8)
(/.f64 (+.f64 (.f64 5/4 (.f64 x 4)) (*.f64 x 3)) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 (*.f64 x 4) 5/4)) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 x 5)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) 16)
x
(/.f64 (-.f64 (.f64 x 5/2) (neg.f64 (.f64 x 3/2))) 4)
(/.f64 (-.f64 (.f64 x 3/2) (neg.f64 (.f64 x 5/2))) 4)
(/.f64 (-.f64 (.f64 x 3/2) (neg.f64 (.f64 x 5/2))) 4)
(/.f64 (-.f64 (.f64 x 5/2) (neg.f64 (.f64 x 3/2))) 4)
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (+.f64 (+.f64 (.f64 x 3/8) (.f64 x -5/8)) (*.f64 x -3/4)))
x
(neg.f64 (+.f64 (-.f64 (.f64 x 5/4) x) (neg.f64 (.f64 x 5/4))))
x

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (*.f64 x -3/4)))
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (.f64 x -3/4))))
✓	0.7b	(+.f64 (.f64 x 1/4) (.f64 x -3/4))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (.f64 x -3/4))))
0.0ms	x	@	0	(+.f64 (.f64 x 1/4) (.f64 x -3/4))
0.0ms	x	@	inf	(+.f64 (.f64 x 1/4) (.f64 x -3/4))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (.f64 x -3/4))))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/4) (.f64 x -3/4))))

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational_best-1`
926×	`rational_best-4`
926×	`rational_best-2`
926×	`rational_best-3`
926×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	102	55
2	205	19
3	666	19
4	3405	19

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 x) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3/4 x) (*.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3/4) (*.f64 x 5/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1/4) (*.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -5/4) (*.f64 -3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -3/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 8) (-.f64 (*.f64 x 3/4) (/.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3/4 x) 2) (-.f64 (*.f64 x 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(2) ((x +.f64 (-.f64 (*.f64 x 5/4) (+.f64 (*.f64 1/4 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/4 x) -1)) (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 -3/4 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -3/4 x) -2) (-.f64 (*.f64 1/4 x) (/.f64 (*.f64 -3/4 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -3/4 x) -2) (/.f64 (*.f64 x 5/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 5/2) 4) (/.f64 (*.f64 -3/4 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 7/4) 2) (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 9/4) 2) (/.f64 x -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x 8) (*.f64 -3/4 x)) (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 -3/4 x) 1)) (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/4 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/4 x) 1)) (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 -3/4 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 -3/4 x) -1)) (-.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/4 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 -3/4 x)) (+.f64 (*.f64 1/4 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -3/4 x)) (+.f64 (*.f64 1/4 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x -5/4)) (+.f64 (*.f64 x -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x -5/4)) (+.f64 1 (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (neg.f64 x) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (neg.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 x) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

884×	`rational_best-simplify-55`
872×	`rational_best-simplify-1`
744×	`rational_best-simplify-3`
694×	`rational_best-simplify-63`
636×	`rational_best-simplify-75`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	1732
1	826	1732
2	2837	1706

Stop Event

1×	node limit

Counts

244 → 225

Calls

Call 1

Inputs
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (.f64 1/4 x) (.f64 x 3/4))
(-.f64 (.f64 -3/4 x) (.f64 x -1/4))
(-.f64 (*.f64 1/2 x) x)
(-.f64 x (*.f64 x 3/2))
(-.f64 0 (*.f64 1/2 x))
(-.f64 (.f64 x 3/4) (.f64 x 5/4))
(-.f64 (.f64 x -1/4) (.f64 1/4 x))
(-.f64 (.f64 x -5/4) (.f64 -3/4 x))
(-.f64 (neg.f64 x) (*.f64 x -1/2))
(-.f64 (*.f64 x -3/2) (neg.f64 x))
(-.f64 (*.f64 x -1/2) 0)
(-.f64 (/.f64 x 8) (-.f64 (*.f64 x 3/4) (/.f64 x 8)))
(-.f64 (/.f64 (.f64 -3/4 x) 2) (-.f64 (.f64 x -1/4) (/.f64 (*.f64 -3/4 x) 2)))
(-.f64 (-.f64 1 (*.f64 1/2 x)) 1)
(-.f64 (+.f64 -1 (*.f64 x -1/2)) -1)
(-.f64 (+.f64 (+.f64 (.f64 x -1/4) -1) (+.f64 (.f64 x -1/4) -1)) -2)
(-.f64 (+.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)) (/.f64 (*.f64 -3/4 x) -2))
(-.f64 (+.f64 (*.f64 -3/4 x) (/.f64 x 8)) (/.f64 x -8))
(-.f64 (+.f64 (.f64 1/2 x) (/.f64 (.f64 -3/4 x) 2)) (-.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)))
(-.f64 (+.f64 (.f64 x -1/4) (/.f64 (.f64 -3/4 x) 2)) (-.f64 (.f64 x -1/2) (/.f64 (.f64 -3/4 x) 2)))
(-.f64 (-.f64 (.f64 -3/4 x) (+.f64 (.f64 x -1/4) -1)) 1)
(-.f64 (-.f64 (/.f64 x 8) (*.f64 x 3/4)) (/.f64 x -8))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (.f64 x -1/4)) (/.f64 (*.f64 -3/4 x) -2))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (.f64 1/4 x)) (-.f64 (.f64 x -1/2) (/.f64 (.f64 -3/4 x) 2)))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (+.f64 (.f64 1/4 x) 1)) (-.f64 (+.f64 -1 (.f64 x -1/2)) (/.f64 (.f64 -3/4 x) 2)))
(-.f64 (+.f64 (/.f64 (.f64 -3/4 x) 2) -1) (-.f64 (+.f64 (.f64 x -1/4) -1) (/.f64 (*.f64 -3/4 x) 2)))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (.f64 x -1/2)) (-.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (+.f64 1 (.f64 x -1/4))) (-.f64 -1 (/.f64 (*.f64 -3/4 x) 2)))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (-.f64 1 (.f64 1/2 x))) (-.f64 (+.f64 (.f64 1/4 x) -1) (/.f64 (.f64 -3/4 x) 2)))
(-.f64 (+.f64 x (/.f64 (.f64 -3/4 x) 2)) (.f64 -3 (/.f64 (*.f64 -3/4 x) 2)))
(-.f64 (+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1))) 2)
(-.f64 (+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1))) 2)
(-.f64 (+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1))) 2)
(-.f64 (+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1))) 2)
(-.f64 (+.f64 (+.f64 1 (.f64 x -1/4)) (+.f64 1 (.f64 x -1/4))) 2)
(-.f64 (+.f64 (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1))) 2)
(-.f64 (+.f64 (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1))) 2)
(-.f64 (+.f64 (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1))) 2)
(-.f64 (+.f64 (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1))) 2)
(-.f64 (+.f64 (-.f64 1 (+.f64 (.f64 1/4 x) -1)) (-.f64 -1 (+.f64 (.f64 1/4 x) -1))) 2)
(-.f64 (+.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 -1 x)) -2)
(-.f64 (+.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x -1/2))) -2)
(.f64 1/4 (.f64 x -2))
(.f64 1/4 (-.f64 x (.f64 x 3)))
(.f64 1/4 (-.f64 (.f64 x -3) (neg.f64 x)))
(.f64 (.f64 1/4 x) -2)
(.f64 2 (.f64 x -1/4))
(*.f64 1/2 (neg.f64 x))
(.f64 1/2 (-.f64 (+.f64 x x) (.f64 x 3)))
(.f64 1/2 (-.f64 (.f64 x 3/2) (*.f64 x 5/2)))
(.f64 1/2 (-.f64 (.f64 x -3) (*.f64 x -2)))
(.f64 1/2 (+.f64 (.f64 x 3/2) (*.f64 x -5/2)))
(.f64 1/2 (+.f64 (.f64 x -5/2) (*.f64 x 3/2)))
(.f64 (.f64 1/2 x) -1)
(*.f64 x -1/2)
(.f64 1 (.f64 x -1/2))
(.f64 (.f64 x -1/4) 2)
(.f64 -1 (.f64 1/2 x))
(*.f64 (neg.f64 x) 1/2)
(*.f64 -1/2 x)
(*.f64 (+.f64 x x) -1/4)
(.f64 -2 (.f64 1/4 x))
(.f64 (.f64 x -1/2) 1)
(*.f64 -1/4 (+.f64 x x))
(.f64 (.f64 x -2) 1/4)
(.f64 (.f64 x 4) -1/8)
(.f64 -1/8 (.f64 x 4))
(.f64 (.f64 2 (*.f64 x 4)) -1/16)
(.f64 (.f64 (neg.f64 x) 4) 1/8)
(/.f64 (*.f64 1/4 x) -1/2)
(/.f64 (*.f64 1/2 x) -1)
(/.f64 x -2)
(/.f64 (*.f64 x -1/4) 1/2)
(/.f64 (neg.f64 x) 2)
(/.f64 (+.f64 x x) -4)
(/.f64 (*.f64 x -1/2) 1)
(/.f64 (*.f64 x -2) 4)
(/.f64 (*.f64 x 4) -8)
(/.f64 (.f64 2 (.f64 x 4)) -16)
(/.f64 (*.f64 (neg.f64 x) 4) 8)
(/.f64 (/.f64 (*.f64 x 4) -1) 8)
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) -2) 8)
(pow.f64 (*.f64 x -1/2) 1)
(neg.f64 (*.f64 1/2 x))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(/.f64 (*.f64 x (/.f64 (sqrt.f64 2) -1/2)) -2)
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) 4)) -4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 8)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)
(/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) 4)) 2) -2)
(/.f64 (.f64 (.f64 x -1/2) (*.f64 2 (sqrt.f64 2))) -1)
(/.f64 (.f64 (.f64 x -1/2) (*.f64 (sqrt.f64 2) 4)) -2)
(/.f64 (.f64 (.f64 x -1/2) (.f64 (.f64 2 (sqrt.f64 2)) 4)) -4)
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) -8)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (neg.f64 x) 4)) -4)
(/.f64 (.f64 (.f64 2 (.f64 x 4)) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (.f64 2 (*.f64 x 4))) 64)
(/.f64 (.f64 (+.f64 x x) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 x 4))) 16)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 1/4 x) (.f64 x 3/4))
(+.f64 (.f64 -3/4 x) (.f64 x 7/4))
(+.f64 (.f64 1/2 x) (.f64 1/2 x))
(+.f64 x 0)
(+.f64 0 x)
(+.f64 1 (+.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)))
(+.f64 1 (+.f64 (.f64 x 5/4) (+.f64 (.f64 x -1/4) -1)))
(+.f64 (.f64 x 3/4) (.f64 1/4 x))
(+.f64 (.f64 x -1/4) (.f64 x 5/4))
(+.f64 -1 (-.f64 (.f64 x 3/4) (+.f64 (.f64 x -1/4) -1)))
(+.f64 -1 (-.f64 (.f64 x 5/4) (+.f64 (.f64 1/4 x) -1)))
(+.f64 (.f64 x 5/4) (.f64 x -1/4))
(+.f64 (.f64 x 7/4) (.f64 -3/4 x))
(+.f64 (.f64 x -1/2) (.f64 x 3/2))
(+.f64 (/.f64 x 8) (+.f64 (*.f64 x 3/4) (/.f64 x 8)))
(+.f64 (/.f64 x 8) (/.f64 (*.f64 x 7/4) 2))
(+.f64 (/.f64 x 8) (-.f64 (/.f64 x 8) (*.f64 -3/4 x)))
(+.f64 (.f64 x 3/2) (.f64 x -1/2))
(+.f64 (+.f64 (.f64 x -1/4) -1) (-.f64 (.f64 1/2 x) (+.f64 (*.f64 -3/4 x) -1)))
(+.f64 (+.f64 (.f64 x -1/4) -1) (-.f64 (.f64 x 3/4) (+.f64 -1 (*.f64 x -1/2))))
(+.f64 (+.f64 (.f64 x -1/4) -1) (+.f64 (.f64 x 5/4) 1))
(+.f64 (+.f64 (.f64 x -1/4) -1) (-.f64 1 (.f64 x -5/4)))
(+.f64 (+.f64 (.f64 1/4 x) -1) (+.f64 (.f64 x 3/4) 1))
(+.f64 (+.f64 (.f64 1/4 x) -1) (-.f64 1 (.f64 -3/4 x)))
(+.f64 (-.f64 1 (.f64 1/2 x)) (+.f64 (.f64 x 5/4) (+.f64 (*.f64 1/4 x) -1)))
(+.f64 (+.f64 (.f64 1/4 x) 1) (+.f64 (.f64 x 3/4) -1))
(+.f64 (+.f64 (.f64 1/4 x) 1) (+.f64 (.f64 x 5/4) (+.f64 -1 (*.f64 x -1/2))))
(+.f64 (+.f64 (.f64 1/4 x) 1) (neg.f64 (+.f64 (.f64 -3/4 x) 1)))
(+.f64 (+.f64 (.f64 1/4 x) 1) (-.f64 -1 (.f64 -3/4 x)))
(+.f64 (+.f64 1 (.f64 x -1/4)) (+.f64 -1 (.f64 x 5/4)))
(+.f64 (+.f64 1 (.f64 x -1/4)) (-.f64 -1 (.f64 x -5/4)))
(+.f64 (+.f64 (.f64 x 3/4) -1) (+.f64 (.f64 1/4 x) 1))
(+.f64 (+.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) 1)
(+.f64 (+.f64 (*.f64 x 3/4) (/.f64 x 8)) (/.f64 x 8))
(+.f64 (+.f64 -1 (.f64 x 5/4)) (+.f64 1 (.f64 x -1/4)))
(+.f64 (+.f64 (.f64 x 5/4) (+.f64 (.f64 x -1/4) -1)) 1)
(+.f64 (+.f64 (.f64 x 5/4) (+.f64 (.f64 1/4 x) -1)) (-.f64 1 (*.f64 1/2 x)))
(+.f64 (+.f64 (.f64 x 5/4) (+.f64 -1 (.f64 x -1/2))) (+.f64 (*.f64 1/4 x) 1))
(+.f64 (+.f64 (.f64 x 3/4) 1) (+.f64 (.f64 1/4 x) -1))
(+.f64 (/.f64 x -8) (-.f64 (*.f64 x 5/4) (/.f64 x 8)))
(+.f64 (/.f64 x -8) (/.f64 (*.f64 x 9/4) 2))
(+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) (neg.f64 (-.f64 1 (*.f64 1/2 x))))
(+.f64 (neg.f64 (-.f64 1 (.f64 1/2 x))) (-.f64 (.f64 x 3/4) (+.f64 (*.f64 1/4 x) -1)))
(+.f64 (-.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)) (/.f64 (*.f64 -3/4 x) -2))
(+.f64 (neg.f64 (+.f64 (.f64 -3/4 x) 1)) (+.f64 (.f64 1/4 x) 1))
(+.f64 (-.f64 (.f64 1/2 x) (+.f64 (.f64 -3/4 x) -1)) (+.f64 (*.f64 x -1/4) -1))
(+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 x -1/4) -1)) -1)
(+.f64 (-.f64 (.f64 x 3/4) (+.f64 -1 (.f64 x -1/2))) (+.f64 (*.f64 x -1/4) -1))
(+.f64 (+.f64 (.f64 x 5/4) 1) (+.f64 (.f64 x -1/4) -1))
(+.f64 (-.f64 (*.f64 x 5/4) (/.f64 x 8)) (/.f64 x -8))
(+.f64 (-.f64 (.f64 x 5/4) (+.f64 (.f64 1/4 x) -1)) -1)
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) 1)))
(+.f64 (/.f64 (.f64 -3/4 x) -2) (-.f64 (.f64 1/4 x) (/.f64 (*.f64 -3/4 x) 2)))
(+.f64 (/.f64 (.f64 -3/4 x) -2) (/.f64 (.f64 x 5/2) 4))
(+.f64 (/.f64 (.f64 x 5/2) 4) (/.f64 (.f64 -3/4 x) -2))
(+.f64 (/.f64 (*.f64 x 7/4) 2) (/.f64 x 8))
(+.f64 (/.f64 (*.f64 x 9/4) 2) (/.f64 x -8))
(+.f64 (-.f64 (/.f64 x 8) (*.f64 -3/4 x)) (/.f64 x 8))
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) 1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) -1)))
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) 1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) -1)))
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) 1)))
(+.f64 (-.f64 1 (.f64 -3/4 x)) (+.f64 (.f64 1/4 x) -1))
(+.f64 (-.f64 -1 (.f64 -3/4 x)) (+.f64 (.f64 1/4 x) 1))
(+.f64 (-.f64 1 (.f64 x -5/4)) (+.f64 (.f64 x -1/4) -1))
(+.f64 (-.f64 -1 (.f64 x -5/4)) (+.f64 1 (.f64 x -1/4)))
(.f64 1/4 (.f64 x 4))
(.f64 (.f64 1/4 x) 4)
(.f64 2 (.f64 1/2 x))
(*.f64 1/2 (+.f64 x x))
(.f64 1/2 (-.f64 (neg.f64 x) (.f64 x -3)))
(.f64 (.f64 1/2 x) 2)
(*.f64 x 1)
(*.f64 1 x)
(.f64 (.f64 x -1/4) -4)
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (+.f64 x x) 1/2)
(.f64 -2 (.f64 x -1/2))
(.f64 1/8 (.f64 2 (*.f64 x 4)))
(.f64 (.f64 x -1/2) -2)
(.f64 -1/4 (.f64 (neg.f64 x) 4))
(.f64 (.f64 x -2) -1/2)
(.f64 (.f64 x 4) 1/4)
(.f64 (.f64 2 (*.f64 x 4)) 1/8)
(.f64 (.f64 (neg.f64 x) 4) -1/4)
(/.f64 (*.f64 1/2 x) 1/2)
(/.f64 x 1)
(/.f64 (neg.f64 x) -1)
(/.f64 (+.f64 x x) 2)
(/.f64 (*.f64 x -1/2) -1/2)
(/.f64 (*.f64 x -2) -2)
(/.f64 (*.f64 x 4) 4)
(/.f64 (.f64 2 (.f64 x 4)) 8)
(/.f64 (*.f64 (neg.f64 x) 4) -4)
(/.f64 (/.f64 (*.f64 (neg.f64 x) 4) -1) 4)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))

Outputs
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (.f64 1/4 x) (.f64 x 3/4))
(*.f64 -1/2 x)
(-.f64 (.f64 -3/4 x) (.f64 x -1/4))
(*.f64 -1/2 x)
(-.f64 (*.f64 1/2 x) x)
(*.f64 -1/2 x)
(-.f64 x (*.f64 x 3/2))
(*.f64 -1/2 x)
(-.f64 0 (*.f64 1/2 x))
(*.f64 -1/2 x)
(-.f64 (.f64 x 3/4) (.f64 x 5/4))
(*.f64 -1/2 x)
(-.f64 (.f64 x -1/4) (.f64 1/4 x))
(*.f64 -1/2 x)
(-.f64 (.f64 x -5/4) (.f64 -3/4 x))
(*.f64 -1/2 x)
(-.f64 (neg.f64 x) (*.f64 x -1/2))
(*.f64 -1/2 x)
(-.f64 (*.f64 x -3/2) (neg.f64 x))
(*.f64 -1/2 x)
(-.f64 (*.f64 x -1/2) 0)
(*.f64 -1/2 x)
(-.f64 (/.f64 x 8) (-.f64 (*.f64 x 3/4) (/.f64 x 8)))
(*.f64 -1/2 x)
(-.f64 (/.f64 (.f64 -3/4 x) 2) (-.f64 (.f64 x -1/4) (/.f64 (*.f64 -3/4 x) 2)))
(-.f64 (/.f64 (.f64 x -3/4) 2) (-.f64 (.f64 x -1/4) (/.f64 (*.f64 x -3/4) 2)))
(-.f64 (/.f64 (.f64 x -3/2) 4) (/.f64 (-.f64 (neg.f64 x) (.f64 x -3/2)) 4))
(-.f64 (-.f64 1 (*.f64 1/2 x)) 1)
(*.f64 -1/2 x)
(-.f64 (+.f64 -1 (*.f64 x -1/2)) -1)
(*.f64 -1/2 x)
(-.f64 (+.f64 (+.f64 (.f64 x -1/4) -1) (+.f64 (.f64 x -1/4) -1)) -2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)) (/.f64 (*.f64 -3/4 x) -2))
(-.f64 (+.f64 (.f64 x 1/4) (/.f64 (.f64 x -3/4) 2)) (/.f64 (*.f64 x -3/4) -2))
(-.f64 (+.f64 (.f64 x 1/4) (/.f64 (.f64 x -3/2) 4)) (/.f64 (*.f64 x -3/4) -2))
(-.f64 (+.f64 (*.f64 -3/4 x) (/.f64 x 8)) (/.f64 x -8))
(-.f64 (+.f64 (*.f64 x -3/4) (/.f64 x 8)) (/.f64 x -8))
(-.f64 (+.f64 (.f64 1/2 x) (/.f64 (.f64 -3/4 x) 2)) (-.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (+.f64 (.f64 x -1/4) (/.f64 (.f64 -3/4 x) 2)) (-.f64 (.f64 x -1/2) (/.f64 (.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (-.f64 (.f64 -3/4 x) (+.f64 (.f64 x -1/4) -1)) 1)
(*.f64 -1/2 x)
(-.f64 (-.f64 (/.f64 x 8) (*.f64 x 3/4)) (/.f64 x -8))
(*.f64 -1/2 x)
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (.f64 x -1/4)) (/.f64 (*.f64 -3/4 x) -2))
(-.f64 (/.f64 (.f64 x -3/4) 2) (+.f64 (/.f64 (.f64 x -3/4) -2) (*.f64 x -1/4)))
(-.f64 (/.f64 (.f64 x -3/4) 2) (+.f64 (.f64 x -1/4) (/.f64 (*.f64 x -3/4) -2)))
(-.f64 (/.f64 x -8) (/.f64 (*.f64 x -3/4) -2))
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (.f64 1/4 x)) (-.f64 (.f64 x -1/2) (/.f64 (.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (+.f64 (.f64 1/4 x) 1)) (-.f64 (+.f64 -1 (.f64 x -1/2)) (/.f64 (.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (+.f64 (/.f64 (.f64 -3/4 x) 2) -1) (-.f64 (+.f64 (.f64 x -1/4) -1) (/.f64 (*.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (.f64 x -1/2)) (-.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (+.f64 1 (.f64 x -1/4))) (-.f64 -1 (/.f64 (*.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (-.f64 (/.f64 (.f64 -3/4 x) 2) (-.f64 1 (.f64 1/2 x))) (-.f64 (+.f64 (.f64 1/4 x) -1) (/.f64 (.f64 -3/4 x) 2)))
(*.f64 -1/2 x)
(-.f64 (+.f64 x (/.f64 (.f64 -3/4 x) 2)) (.f64 -3 (/.f64 (*.f64 -3/4 x) 2)))
(-.f64 (+.f64 x (/.f64 (.f64 x -3/4) 2)) (.f64 (*.f64 x -3/4) -3/2))
(-.f64 (/.f64 (.f64 x 5/4) 2) (.f64 -3/4 (*.f64 x -3/2)))
(-.f64 (+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (+.f64 1 (.f64 x -1/4)) (+.f64 1 (.f64 x -1/4))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 -3/4 x) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 (.f64 x -5/4) (+.f64 (.f64 x -1/4) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 x -1/4) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 1 (+.f64 (.f64 1/4 x) -1)) (-.f64 -1 (+.f64 (.f64 1/4 x) -1))) 2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 -1 x)) -2)
(*.f64 -1/2 x)
(-.f64 (+.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x -1/2))) -2)
(*.f64 -1/2 x)
(.f64 1/4 (.f64 x -2))
(*.f64 -1/2 x)
(.f64 1/4 (-.f64 x (.f64 x 3)))
(*.f64 -1/2 x)
(.f64 1/4 (-.f64 (.f64 x -3) (neg.f64 x)))
(*.f64 -1/2 x)
(.f64 (.f64 1/4 x) -2)
(*.f64 -1/2 x)
(.f64 2 (.f64 x -1/4))
(*.f64 -1/2 x)
(*.f64 1/2 (neg.f64 x))
(*.f64 -1/2 x)
(.f64 1/2 (-.f64 (+.f64 x x) (.f64 x 3)))
(*.f64 -1/2 x)
(.f64 1/2 (-.f64 (.f64 x 3/2) (*.f64 x 5/2)))
(*.f64 -1/2 x)
(.f64 1/2 (-.f64 (.f64 x -3) (*.f64 x -2)))
(*.f64 -1/2 x)
(.f64 1/2 (+.f64 (.f64 x 3/2) (*.f64 x -5/2)))
(*.f64 -1/2 x)
(.f64 1/2 (+.f64 (.f64 x -5/2) (*.f64 x 3/2)))
(*.f64 -1/2 x)
(.f64 (.f64 1/2 x) -1)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(.f64 1 (.f64 x -1/2))
(*.f64 -1/2 x)
(.f64 (.f64 x -1/4) 2)
(*.f64 -1/2 x)
(.f64 -1 (.f64 1/2 x))
(*.f64 -1/2 x)
(*.f64 (neg.f64 x) 1/2)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 (+.f64 x x) -1/4)
(*.f64 -1/2 x)
(.f64 -2 (.f64 1/4 x))
(*.f64 -1/2 x)
(.f64 (.f64 x -1/2) 1)
(*.f64 -1/2 x)
(*.f64 -1/4 (+.f64 x x))
(*.f64 -1/2 x)
(.f64 (.f64 x -2) 1/4)
(*.f64 -1/2 x)
(.f64 (.f64 x 4) -1/8)
(*.f64 -1/2 x)
(.f64 -1/8 (.f64 x 4))
(*.f64 -1/2 x)
(.f64 (.f64 2 (*.f64 x 4)) -1/16)
(*.f64 -1/2 x)
(.f64 (.f64 (neg.f64 x) 4) 1/8)
(*.f64 -1/2 x)
(/.f64 (*.f64 1/4 x) -1/2)
(*.f64 -1/2 x)
(/.f64 (*.f64 1/2 x) -1)
(*.f64 -1/2 x)
(/.f64 x -2)
(*.f64 -1/2 x)
(/.f64 (*.f64 x -1/4) 1/2)
(*.f64 -1/2 x)
(/.f64 (neg.f64 x) 2)
(*.f64 -1/2 x)
(/.f64 (+.f64 x x) -4)
(*.f64 -1/2 x)
(/.f64 (*.f64 x -1/2) 1)
(*.f64 -1/2 x)
(/.f64 (*.f64 x -2) 4)
(*.f64 -1/2 x)
(/.f64 (*.f64 x 4) -8)
(*.f64 -1/2 x)
(/.f64 (.f64 2 (.f64 x 4)) -16)
(*.f64 -1/2 x)
(/.f64 (*.f64 (neg.f64 x) 4) 8)
(*.f64 -1/2 x)
(/.f64 (/.f64 (*.f64 x 4) -1) 8)
(*.f64 -1/2 x)
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) -2) 8)
(*.f64 -1/2 x)
(pow.f64 (*.f64 x -1/2) 1)
(*.f64 -1/2 x)
(neg.f64 (*.f64 1/2 x))
(*.f64 -1/2 x)
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 x (sqrt.f64 2))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x (/.f64 (sqrt.f64 2) -1/2)) -2)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) 4)) -4)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 8)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 4)) 16)
(*.f64 x (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) 4)) 2) -2)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 x -1/2) (*.f64 2 (sqrt.f64 2))) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 x -1/2) (*.f64 (sqrt.f64 2) 4)) -2)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 x -1/2) (.f64 (.f64 2 (sqrt.f64 2)) 4)) -4)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) -8)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) -2)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (neg.f64 x) 4)) -4)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (.f64 x 4)) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 64)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (.f64 2 (*.f64 x 4))) 64)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (+.f64 x x) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 16)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 x 4))) 16)
(*.f64 x (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 x (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 1/4 x) (.f64 x 3/4))
x
(+.f64 (.f64 -3/4 x) (.f64 x 7/4))
x
(+.f64 (.f64 1/2 x) (.f64 1/2 x))
x
(+.f64 x 0)
x
(+.f64 0 x)
x
(+.f64 1 (+.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)))
x
(+.f64 1 (+.f64 (.f64 x 5/4) (+.f64 (.f64 x -1/4) -1)))
x
(+.f64 (.f64 x 3/4) (.f64 1/4 x))
x
(+.f64 (.f64 x -1/4) (.f64 x 5/4))
x
(+.f64 -1 (-.f64 (.f64 x 3/4) (+.f64 (.f64 x -1/4) -1)))
x
(+.f64 -1 (-.f64 (.f64 x 5/4) (+.f64 (.f64 1/4 x) -1)))
x
(+.f64 (.f64 x 5/4) (.f64 x -1/4))
x
(+.f64 (.f64 x 7/4) (.f64 -3/4 x))
x
(+.f64 (.f64 x -1/2) (.f64 x 3/2))
x
(+.f64 (/.f64 x 8) (+.f64 (*.f64 x 3/4) (/.f64 x 8)))
x
(+.f64 (/.f64 x 8) (/.f64 (*.f64 x 7/4) 2))
(+.f64 (/.f64 x 8) (-.f64 (/.f64 x 8) (*.f64 -3/4 x)))
(+.f64 (/.f64 x 8) (-.f64 (/.f64 x 8) (*.f64 x -3/4)))
(+.f64 (.f64 x 3/2) (.f64 x -1/2))
x
(+.f64 (+.f64 (.f64 x -1/4) -1) (-.f64 (.f64 1/2 x) (+.f64 (*.f64 -3/4 x) -1)))
x
(+.f64 (+.f64 (.f64 x -1/4) -1) (-.f64 (.f64 x 3/4) (+.f64 -1 (*.f64 x -1/2))))
x
(+.f64 (+.f64 (.f64 x -1/4) -1) (+.f64 (.f64 x 5/4) 1))
x
(+.f64 (+.f64 (.f64 x -1/4) -1) (-.f64 1 (.f64 x -5/4)))
x
(+.f64 (+.f64 (.f64 1/4 x) -1) (+.f64 (.f64 x 3/4) 1))
x
(+.f64 (+.f64 (.f64 1/4 x) -1) (-.f64 1 (.f64 -3/4 x)))
x
(+.f64 (-.f64 1 (.f64 1/2 x)) (+.f64 (.f64 x 5/4) (+.f64 (*.f64 1/4 x) -1)))
x
(+.f64 (+.f64 (.f64 1/4 x) 1) (+.f64 (.f64 x 3/4) -1))
x
(+.f64 (+.f64 (.f64 1/4 x) 1) (+.f64 (.f64 x 5/4) (+.f64 -1 (*.f64 x -1/2))))
x
(+.f64 (+.f64 (.f64 1/4 x) 1) (neg.f64 (+.f64 (.f64 -3/4 x) 1)))
x
(+.f64 (+.f64 (.f64 1/4 x) 1) (-.f64 -1 (.f64 -3/4 x)))
x
(+.f64 (+.f64 1 (.f64 x -1/4)) (+.f64 -1 (.f64 x 5/4)))
x
(+.f64 (+.f64 1 (.f64 x -1/4)) (-.f64 -1 (.f64 x -5/4)))
x
(+.f64 (+.f64 (.f64 x 3/4) -1) (+.f64 (.f64 1/4 x) 1))
x
(+.f64 (+.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) 1)
x
(+.f64 (+.f64 (*.f64 x 3/4) (/.f64 x 8)) (/.f64 x 8))
x
(+.f64 (+.f64 -1 (.f64 x 5/4)) (+.f64 1 (.f64 x -1/4)))
x
(+.f64 (+.f64 (.f64 x 5/4) (+.f64 (.f64 x -1/4) -1)) 1)
x
(+.f64 (+.f64 (.f64 x 5/4) (+.f64 (.f64 1/4 x) -1)) (-.f64 1 (*.f64 1/2 x)))
x
(+.f64 (+.f64 (.f64 x 5/4) (+.f64 -1 (.f64 x -1/2))) (+.f64 (*.f64 1/4 x) 1))
x
(+.f64 (+.f64 (.f64 x 3/4) 1) (+.f64 (.f64 1/4 x) -1))
x
(+.f64 (/.f64 x -8) (-.f64 (*.f64 x 5/4) (/.f64 x 8)))
(+.f64 (/.f64 x -8) (/.f64 (*.f64 x 9/4) 2))
(+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 1/4 x) -1)) (neg.f64 (-.f64 1 (*.f64 1/2 x))))
x
(+.f64 (neg.f64 (-.f64 1 (.f64 1/2 x))) (-.f64 (.f64 x 3/4) (+.f64 (*.f64 1/4 x) -1)))
x
(+.f64 (-.f64 (.f64 1/4 x) (/.f64 (.f64 -3/4 x) 2)) (/.f64 (*.f64 -3/4 x) -2))
(+.f64 (/.f64 (.f64 x -3/4) -2) (-.f64 (.f64 x 1/4) (/.f64 (*.f64 x -3/4) 2)))
(+.f64 (/.f64 (.f64 x -3/4) -2) (-.f64 (.f64 x 1/4) (/.f64 (*.f64 x -3/2) 4)))
(+.f64 (neg.f64 (+.f64 (.f64 -3/4 x) 1)) (+.f64 (.f64 1/4 x) 1))
x
(+.f64 (-.f64 (.f64 1/2 x) (+.f64 (.f64 -3/4 x) -1)) (+.f64 (*.f64 x -1/4) -1))
x
(+.f64 (-.f64 (.f64 x 3/4) (+.f64 (.f64 x -1/4) -1)) -1)
x
(+.f64 (-.f64 (.f64 x 3/4) (+.f64 -1 (.f64 x -1/2))) (+.f64 (*.f64 x -1/4) -1))
x
(+.f64 (+.f64 (.f64 x 5/4) 1) (+.f64 (.f64 x -1/4) -1))
x
(+.f64 (-.f64 (*.f64 x 5/4) (/.f64 x 8)) (/.f64 x -8))
(+.f64 (/.f64 x -8) (-.f64 (*.f64 x 5/4) (/.f64 x 8)))
(+.f64 (-.f64 (.f64 x 5/4) (+.f64 (.f64 1/4 x) -1)) -1)
x
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) 1)))
x
(+.f64 (/.f64 (.f64 -3/4 x) -2) (-.f64 (.f64 1/4 x) (/.f64 (*.f64 -3/4 x) 2)))
(+.f64 (/.f64 (.f64 x -3/4) -2) (-.f64 (.f64 x 1/4) (/.f64 (*.f64 x -3/4) 2)))
(+.f64 (/.f64 (.f64 x -3/4) -2) (-.f64 (.f64 x 1/4) (/.f64 (*.f64 x -3/2) 4)))
(+.f64 (/.f64 (.f64 -3/4 x) -2) (/.f64 (.f64 x 5/2) 4))
(+.f64 (/.f64 (.f64 x -3/4) -2) (/.f64 (.f64 x 5/2) 4))
(+.f64 (/.f64 (.f64 x 5/2) 4) (/.f64 (.f64 -3/4 x) -2))
(+.f64 (/.f64 (.f64 x -3/4) -2) (/.f64 (.f64 x 5/2) 4))
(+.f64 (/.f64 (*.f64 x 7/4) 2) (/.f64 x 8))
(+.f64 (/.f64 x 8) (/.f64 (*.f64 x 7/4) 2))
(+.f64 (/.f64 (*.f64 x 9/4) 2) (/.f64 x -8))
(+.f64 (/.f64 x -8) (/.f64 (*.f64 x 9/4) 2))
(+.f64 (-.f64 (/.f64 x 8) (*.f64 -3/4 x)) (/.f64 x 8))
(+.f64 (/.f64 x 8) (-.f64 (/.f64 x 8) (*.f64 x -3/4)))
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) 1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) -1)))
x
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) 1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) -1)))
x
(+.f64 (-.f64 (.f64 1/4 x) (+.f64 (.f64 -3/4 x) -1)) (-.f64 (.f64 1/4 x) (+.f64 (.f64 1/4 x) 1)))
x
(+.f64 (-.f64 1 (.f64 -3/4 x)) (+.f64 (.f64 1/4 x) -1))
x
(+.f64 (-.f64 -1 (.f64 -3/4 x)) (+.f64 (.f64 1/4 x) 1))
x
(+.f64 (-.f64 1 (.f64 x -5/4)) (+.f64 (.f64 x -1/4) -1))
x
(+.f64 (-.f64 -1 (.f64 x -5/4)) (+.f64 1 (.f64 x -1/4)))
x
(.f64 1/4 (.f64 x 4))
x
(.f64 (.f64 1/4 x) 4)
x
(.f64 2 (.f64 1/2 x))
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 1/2 (-.f64 (neg.f64 x) (.f64 x -3)))
x
(.f64 (.f64 1/2 x) 2)
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(.f64 (.f64 x -1/4) -4)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (+.f64 x x) 1/2)
x
(.f64 -2 (.f64 x -1/2))
x
(.f64 1/8 (.f64 2 (*.f64 x 4)))
x
(.f64 (.f64 x -1/2) -2)
x
(.f64 -1/4 (.f64 (neg.f64 x) 4))
x
(.f64 (.f64 x -2) -1/2)
x
(.f64 (.f64 x 4) 1/4)
x
(.f64 (.f64 2 (*.f64 x 4)) 1/8)
x
(.f64 (.f64 (neg.f64 x) 4) -1/4)
x
(/.f64 (*.f64 1/2 x) 1/2)
x
(/.f64 x 1)
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 (*.f64 x -1/2) -1/2)
x
(/.f64 (*.f64 x -2) -2)
x
(/.f64 (*.f64 x 4) 4)
x
(/.f64 (.f64 2 (.f64 x 4)) 8)
x
(/.f64 (*.f64 (neg.f64 x) 4) -4)
x
(/.f64 (/.f64 (*.f64 (neg.f64 x) 4) -1) 4)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) x) -1/2)
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 x 3/2))
	0.4b	(*.f64 (sqrt.f64 2) x)
✓	0.6b	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) (.f64 (sqrt.f64 2) (.f64 x 3/2)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`rational_best-simplify-63`
784×	`rational_best-simplify-51`
742×	`rational_best-simplify-48`
714×	`rational_best-simplify-47`
696×	`rational_best-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	88	45
2	162	45
3	411	45
4	1468	45

Stop Event

1×	node limit

Counts

3 → 268

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -1/2)) (*.f64 (*.f64 (sqrt.f64 2) x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -1/2)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/2)) (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/2)) (*.f64 (sqrt.f64 2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (*.f64 (sqrt.f64 2) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5/2)) (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) (*.f64 (sqrt.f64 2) (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/2) (-.f64 0 (*.f64 (sqrt.f64 2) (*.f64 x 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/2) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) (*.f64 (sqrt.f64 2) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5/2)) (*.f64 (sqrt.f64 2) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x 3/2) 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x 3/2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -4) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (*.f64 (*.f64 (sqrt.f64 2) x) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(*.f64 (*.f64 (sqrt.f64 2) x) -2) (/.f64 (*.f64 (sqrt.f64 2) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3))) (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 7/2) 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x 3/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 2) x) -4)) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 7/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 2) x) -4)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9/2)) 2) (*.f64 (sqrt.f64 2) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/2)) (*.f64 (sqrt.f64 2) (*.f64 x 3))) (-.f64 0 (*.f64 (sqrt.f64 2) (*.f64 x 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (*.f64 (sqrt.f64 2) x) -2)) (*.f64 (sqrt.f64 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2) (*.f64 (sqrt.f64 2) (*.f64 x -1/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x 3/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 2) x) -4)) (*.f64 (sqrt.f64 2) (*.f64 x -1/2))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9/2)) 2) (*.f64 (sqrt.f64 2) (+.f64 x x))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x 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1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -3/2))))))

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(neg.f64 x)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 4) (*.f64 (sqrt.f64 2) (+.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 6)) (*.f64 (sqrt.f64 2) (*.f64 2 (*.f64 x 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 x -1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) -1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/2)))))))

simplify148.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational_best-simplify-62`
1072×	`rational_best-simplify-63`
1062×	`rational_best-simplify-1`
792×	`rational_best-simplify-49`
784×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	6188
1	1159	5916
2	3245	5852

Stop Event

1×	node limit

Counts

304 → 341

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -1/2 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))) x)
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 3/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
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(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 6))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x 6)) 16)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) x) -2)) -2)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x 4))) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (*.f64 (sqrt.f64 2) x)) 2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) (.f64 (sqrt.f64 2) (.f64 2 (*.f64 x 4)))) 4)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 2 (*.f64 x 4)))) 8)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x 4))) (.f64 (sqrt.f64 2) (+.f64 x x))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 x 6))) 64)
(/.f64 (.f64 (.f64 2 (.f64 x 6)) (.f64 2 (*.f64 (sqrt.f64 2) 4))) 64)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 3/2)) 4)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 x 6))) 16)
(/.f64 (.f64 (.f64 x 3) (.f64 2 (.f64 (sqrt.f64 2) 4))) 16)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) 1)
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/2))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (*.f64 (sqrt.f64 2) x) -3/2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (.f64 (sqrt.f64 2) x) -2))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/2) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 5/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (/.f64 (.f64 (sqrt.f64 2) x) -4))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 5/2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2) (/.f64 (*.f64 (sqrt.f64 2) x) 4))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/2)) -2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 8) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 8) (/.f64 (*.f64 (sqrt.f64 2) x) -4)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 8) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/2)) -2) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 8) (/.f64 (.f64 (*.f64 (sqrt.f64 2) x) -3/2) 4))
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/2) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 (*.f64 x 3/2) 1/2)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (.f64 (sqrt.f64 2) (.f64 x 3))) (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (.f64 x 3))) (/.f64 (.f64 (*.f64 (sqrt.f64 2) x) 7/2) 2))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (.f64 x 5/2))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2) 2) (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 8))
(+.f64 (/.f64 (+.f64 -1 (.f64 (sqrt.f64 2) (.f64 x 1/2))) 2) (/.f64 (-.f64 1 (.f64 (sqrt.f64 2) (.f64 x 3/2))) 2))
(+.f64 (/.f64 (+.f64 -1 (.f64 (.f64 (sqrt.f64 2) x) -3/2)) 2) (/.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/2))) 2))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/2) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (*.f64 x 3/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) (.f64 (.f64 (sqrt.f64 2) x) -3/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) (/.f64 (.f64 (sqrt.f64 2) x) 4))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 9/2)) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 2) x) -4)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x 3/2) 1/2))))
(-.f64 (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 5/2))) (.f64 (.f64 (sqrt.f64 2) x) -2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2) (/.f64 (*.f64 (sqrt.f64 2) x) -4))
(-.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 5/2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) x) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/2)) -2) -1))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 8) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 3/2)) 4))
(-.f64 (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) 2)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/2) 2) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 9/2)) 2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (+.f64 x x))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 0 (/.f64 (.f64 (*.f64 (sqrt.f64 2) x) 7/2) 2)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x 3/2) 1/2)) (.f64 (sqrt.f64 2) (.f64 x 5/2))) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 5/2)) 2)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) 2) -1) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 4) 2))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -3/2) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 4))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3/2)) -2) -1) (/.f64 (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 5/2)) 2)) -1))
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (.f64 (sqrt.f64 2) x) -4)) -1) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 9/2)) 2) -1))
(/.f64 (*.f64 (sqrt.f64 2) x) -2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) -1)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 2)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) -4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) 4)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) -8)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 4) 8)
(/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) -1) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 4) (*.f64 (sqrt.f64 2) (+.f64 x x))) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 6)) (.f64 (sqrt.f64 2) (.f64 2 (*.f64 x 4)))) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x -1/2)) 4)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) -1/2)) 4)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)))

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) x) 7/4)
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 x -3/4))
	0.4b	(*.f64 (sqrt.f64 2) x)
✓	0.5b	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
0.0ms	x	@	0	(.f64 (.f64 (sqrt.f64 2) x) 7/4)
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 x -3/4))

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`rational_best-simplify-63`
778×	`rational_best-simplify-83`
656×	`rational_best-simplify-47`
548×	`rational_best-4`
548×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	88	45
2	162	45
3	412	45
4	1460	45

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 7/4) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
(.f64 (sqrt.f64 2) (.f64 x -3/4))
(.f64 (.f64 (sqrt.f64 2) x) 7/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (*.f64 (sqrt.f64 2) (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (+.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)))) (*.f64 (*.f64 (sqrt.f64 2) x) -7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (*.f64 (*.f64 (sqrt.f64 2) x) -7/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (neg.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (+.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (*.f64 (sqrt.f64 2) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) (/.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)))) (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 x 7/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) (+.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) (*.f64 x -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) x) -2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (neg.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) -4)))))) (#(struct:change #<rule egg-rr> (2) 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(*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -7/4) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 8) (/.f64 (*.f64 -3 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 8) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x -3) 1/8)) (*.f64 (sqrt.f64 2) (*.f64 x -3/4))) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 21/4) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 21/4) 4) (/.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -7/4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -7/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 x 7/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 7) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 7)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 7)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 2 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 x 7/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (*.f64 (sqrt.f64 2) 7/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -7/4))))))

simplify124.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-63`
1124×	`rational_best-simplify-1`
1020×	`rational_best-simplify-64`
908×	`rational_best-simplify-65`
794×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	4865
1	1062	4507
2	3276	4241

Stop Event

1×	node limit

Counts

221 → 245

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(.f64 -1 (.f64 (+.f64 (.f64 3/4 (sqrt.f64 2)) (.f64 -7/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (+.f64 (.f64 3/4 (sqrt.f64 2)) (.f64 -7/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (+.f64 (.f64 3/4 (sqrt.f64 2)) (.f64 -7/4 (sqrt.f64 2))) x))
(.f64 -1 (.f64 (+.f64 (.f64 3/4 (sqrt.f64 2)) (.f64 -7/4 (sqrt.f64 2))) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 -3/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(.f64 7/4 (.f64 (sqrt.f64 2) x))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (.f64 x -3/2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))) (.f64 (.f64 (sqrt.f64 2) x) -7/4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (.f64 (sqrt.f64 2) x) -7/4))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (neg.f64 (*.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (*.f64 (sqrt.f64 2) x)) 0))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) (/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)) 2)))
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) x)))
(-.f64 0 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/2)))))
(-.f64 0 (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 x 7/2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))) 0))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (sqrt.f64 2) (.f64 x -3/4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) (.f64 (sqrt.f64 2) (*.f64 x 1/4))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2) (.f64 (*.f64 (sqrt.f64 2) x) -7/4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (/.f64 (.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 11/4) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 2) x) 8)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))) (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (/.f64 (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 2) x) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (-.f64 (.f64 -2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -3/2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (*.f64 x -3/2))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)) (.f64 (neg.f64 (sqrt.f64 2)) (*.f64 x 7/2)))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4)))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) 2) (/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)) 2))
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(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) x))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -9/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/4)) -2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))) (.f64 (.f64 (sqrt.f64 2) x) -7/4))
(-.f64 (-.f64 0 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 x 7/2)))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))) (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4)))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)) 2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4))
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(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (.f64 (sqrt.f64 2) (.f64 x 1/2))) 2) (/.f64 (-.f64 0 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) 2)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -1/2) 2) 2) (/.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) x) -2) (.f64 (sqrt.f64 2) (*.f64 x 7/4))) 2))
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(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) 4))
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2))) 2) (/.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 (sqrt.f64 2) x) -2)) 2))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4) (.f64 (sqrt.f64 2) (*.f64 x 1/4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2) (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (sqrt.f64 2) (.f64 x 1/2))) (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (*.f64 x -3/2))))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3/4) (neg.f64 (*.f64 x 7/4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -3) (*.f64 x 4)))
(*.f64 x (sqrt.f64 2))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) -3/4) (neg.f64 (*.f64 (sqrt.f64 2) 7/4))))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(.f64 1 (.f64 (sqrt.f64 2) x))
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(.f64 (+.f64 x x) (.f64 2 (/.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 (.f64 x 7/2) (.f64 x -3/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 (.f64 x -3/2) (.f64 x 7/2)))
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(.f64 (.f64 x 1/2) (+.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 (sqrt.f64 2) 7/2)))
(.f64 (.f64 x 1/2) (+.f64 (.f64 (sqrt.f64 2) 7/2) (.f64 (sqrt.f64 2) -3/2)))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) x)) -1)
(.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x 1/4))
(.f64 (.f64 x 4) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (.f64 x 4) (*.f64 1 (/.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 4)) 1/4)
(.f64 4 (.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(.f64 4 (.f64 x (/.f64 (sqrt.f64 2) 4)))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 x 4)))
(.f64 (.f64 2 (*.f64 x 4)) (/.f64 (sqrt.f64 2) 8))
(.f64 (.f64 2 (.f64 x 4)) (/.f64 (.f64 (sqrt.f64 2) 1/2) 4))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/4 (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/2 (/.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) 1/8)
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 4) (/.f64 x 8))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (/.f64 (.f64 x 1/2) 4))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (.f64 1/4 (*.f64 x 1/2)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (.f64 1/2 (*.f64 x 1/4)))
(.f64 (.f64 x 1/4) (*.f64 (sqrt.f64 2) 4))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 x 4))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 x 4)) 1/16)
(.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 x 4))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x 4)) 16)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4)))) 2)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -3))) (.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4)) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -3)))) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 x -3)) (.f64 (.f64 (sqrt.f64 2) 4) (.f64 x 4))) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 7))) 4)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2) x) 7) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3)))) 4)
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (.f64 2 (*.f64 x 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 x 4)) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 64)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 x 4))) 16)
(/.f64 (.f64 (+.f64 x x) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 16)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -3/4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 4) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 4) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -3) 1/8))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -9/4)) 2) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -9/4)) 4))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/4)) -2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 4) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/4)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -9/4)) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x -9/4)) 4) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))) 4))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 1)
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 4)
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (*.f64 x -3))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x -3)) 16)
(/.f64 (.f64 (.f64 2 (.f64 x -3)) (.f64 (*.f64 2 (sqrt.f64 2)) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 4) (.f64 2 (*.f64 x -3))) 64)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 x -3))) 16)
(/.f64 (.f64 (.f64 x -3/2) (.f64 (.f64 2 (sqrt.f64 2)) 4)) 16)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x -3/4))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (neg.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) x))))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 7/4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) x))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (*.f64 x -3/4))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 4))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))) (neg.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 x -3/4))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) 2) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))) (.f64 (sqrt.f64 2) (.f64 x 7/4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 0)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)))
(-.f64 0 (.f64 (.f64 (sqrt.f64 2) x) -7/4))
(-.f64 0 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (+.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -3) 1/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4)) 2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 x -3/4))) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4) 2))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 4) (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) 4))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) -1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 2)
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 x 7/2)) -2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 7) 4)
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 7)) -4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4) 8)
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 7)) -1) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)))) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x 7/4)) 4)
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 7/4)) 4)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 1)
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4))

Outputs
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (+.f64 (.f64 3/4 (sqrt.f64 2)) (.f64 -7/4 (sqrt.f64 2))) x))
(*.f64 (sqrt.f64 2) x)
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(.f64 (sqrt.f64 2) (.f64 7/4 x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 x -3/4))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (*.f64 -3/4 x))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -3/8) (*.f64 -3/4 x))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/8))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) 2) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))) (.f64 (sqrt.f64 2) (.f64 x 7/4)))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 0)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 0 (.f64 (.f64 (sqrt.f64 2) x) -7/4))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 0 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (+.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8))))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -3) 1/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 -3/4 x)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -3) 1/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 -3/4 x) (*.f64 x -3/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (.f64 (sqrt.f64 2) (.f64 x -3/8)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4)) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) -3/4) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 -3 (.f64 (sqrt.f64 2) (*.f64 7/4 x))) 4))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 -3/4 (.f64 (sqrt.f64 2) (*.f64 x 7/2))) 2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8) (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 4)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 8)))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x))) (/.f64 (.f64 (sqrt.f64 2) (.f64 x -3/4)) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 -3/4 x)) -2) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/8)) (+.f64 (.f64 (.f64 (sqrt.f64 2) x) -5/2) (/.f64 (.f64 (sqrt.f64 2) (.f64 -3/4 x)) -2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) 17/8) (/.f64 (.f64 (sqrt.f64 2) (.f64 -3/4 x)) -2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -3) 1/8)) (.f64 (sqrt.f64 2) (.f64 x -3/4))) (-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (*.f64 x 11/4)) 2)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (-.f64 (.f64 (sqrt.f64 2) (.f64 -3/4 x)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -3) 1/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 -3/4 x) (*.f64 x -3/8))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 11/4)) 2) (.f64 (sqrt.f64 2) (.f64 x -3/8)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) -4) 2))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) x) 21/4) 4) (/.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) 4))
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 1)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4) -1)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 7/2)) 2)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 x 7/2)) -2)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) 7) 4)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 7)) -4)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 x 7/2)) 4) 8)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) x) 7)) -1) 4)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) x)))) 2)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 2 (.f64 (*.f64 (sqrt.f64 2) x) -5/2))) 2)
(-.f64 (.f64 (sqrt.f64 2) (.f64 -3/4 x)) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -5/2))) 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (*.f64 x 7/4)) 4)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(/.f64 (.f64 (.f64 x 4) (*.f64 (sqrt.f64 2) 7/4)) 4)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 7/4)) 1)
(.f64 (sqrt.f64 2) (.f64 7/4 x))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) -7/4))
(.f64 (sqrt.f64 2) (.f64 7/4 x))

eval391.0ms (5.2%)

Compiler: Compiled 19034 to 16137 computations (15.2% saved)

prune226.0ms (3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1087	6	1093
Fresh	0	0	0
Picked	1	0	1
Done	3	5	8
Total	1091	11	1102

Error

0.0b

Counts

1102 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(.f64 (+.f64 (.f64 -3/4 (sqrt.f64 2)) (*.f64 7/4 (sqrt.f64 2))) x)
✓	32.4b	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	31.9b	(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x)))
	31.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 5/2) (*.f64 x 3/2)))
	31.8b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 13/8) (*.f64 x 5/8)))
	31.8b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3/2) (*.f64 x 1/2)))
	31.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (-.f64 (.f64 x 3/4) (.f64 x 5/4))))
	31.8b	(.f64 (sqrt.f64 2) (+.f64 (.f64 x 7/4) (*.f64 -3/4 x)))
✓	31.3b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	31.7b	(*.f64 (sqrt.f64 2) x)
✓	28.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 106 to 84 computations (20.8% saved)

regimes76.0ms (1%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	x
17.0ms	(+.f64 (.f64 x x) (.f64 x x))
17.0ms	(*.f64 x x)
17.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Results

Error	Segments	Branch
0.3b	2	`x`
12.3b	3	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
12.3b	3	`(+.f64 (.f64 x x) (.f64 x x))`
12.3b	3	`(*.f64 x x)`

Compiler

Compiled 254 to 193 computations (24% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-1.9810238432090637e-308	4.953048642671739e-293

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 203 to 147 computations (27.6% saved)

regimes53.0ms (0.7%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(+.f64 (.f64 x x) (.f64 x x))
13.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
12.0ms	x
12.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.4b	2	`x`
12.3b	3	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
12.3b	3	`(+.f64 (.f64 x x) (.f64 x x))`
12.3b	3	`(*.f64 x x)`

Compiler

Compiled 132 to 89 computations (32.6% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-1.9810238432090637e-308	4.953048642671739e-293

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 173 to 127 computations (26.6% saved)

regimes51.0ms (0.7%)

Accuracy

Total -62.2b remaining (-14346.7%)

Threshold costs -62.2b (-14346.7%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
12.0ms	(*.f64 x x)
12.0ms	x
11.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Error	Segments	Branch
0.4b	2	`x`
12.3b	3	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
12.3b	3	`(+.f64 (.f64 x x) (.f64 x x))`
12.3b	3	`(*.f64 x x)`

Compiler

Compiled 125 to 86 computations (31.2% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-1.9810238432090637e-308	4.953048642671739e-293

Results

14.0ms

160×

body

256

valid

Compiler

Compiled 143 to 117 computations (18.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	146

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Outputs
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 56 to 41 computations (26.8% saved)

soundness405.0ms (5.4%)

Algorithm

2×	egg-herbie

Rules

1102×	`rational_best-simplify-1`
1102×	`rational_best-simplify-1`
814×	`rational_best-simplify-97`
814×	`rational_best-simplify-97`
684×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	12	17
2	24	17
3	40	17
4	88	17
5	240	17
6	973	17
7	5147	17
0	7	17
1	12	17
2	24	17
3	40	17
4	88	17
5	240	17
6	973	17
7	5147	17

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 30 to 14 computations (53.3% saved)

end30.0ms (0.4%)

Compiler: Compiled 53 to 32 computations (39.6% saved)

Details

analyze3.0ms (0%)

sample1.6s (21.1%)

preprocess120.0ms (1.6%)

simplify155.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite103.0ms (1.4%)

simplify108.0ms (1.5%)

eval72.0ms (1%)

prune136.0ms (1.8%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite75.0ms (1%)

simplify71.0ms (1%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite119.0ms (1.6%)

simplify65.0ms (0.9%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite183.0ms (2.5%)

simplify65.0ms (0.9%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite100.0ms (1.3%)

simplify156.0ms (2.1%)

eval66.0ms (0.9%)

prune19.0ms (0.3%)

localize26.0ms (0.3%)

series3.0ms (0%)

rewrite91.0ms (1.2%)

simplify189.0ms (2.5%)

localize55.0ms (0.7%)

series2.0ms (0%)

rewrite97.0ms (1.3%)

simplify167.0ms (2.2%)

localize93.0ms (1.2%)

series0.0ms (0%)

rewrite99.0ms (1.3%)

simplify100.0ms (1.3%)

eval795.0ms (10.7%)

prune177.0ms (2.4%)

localize61.0ms (0.8%)

series1.0ms (0%)

rewrite162.0ms (2.2%)

simplify89.0ms (1.2%)

localize29.0ms (0.4%)

series3.0ms (0%)

rewrite104.0ms (1.4%)

simplify96.0ms (1.3%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite93.0ms (1.2%)

simplify148.0ms (2%)

localize22.0ms (0.3%)

series1.0ms (0%)

rewrite85.0ms (1.1%)

simplify124.0ms (1.7%)

eval391.0ms (5.2%)

prune226.0ms (3%)

regimes76.0ms (1%)

bsearch17.0ms (0.2%)

regimes53.0ms (0.7%)

bsearch17.0ms (0.2%)

regimes51.0ms (0.7%)

bsearch16.0ms (0.2%)

simplify4.0ms (0%)

soundness405.0ms (5.4%)

end30.0ms (0.4%)

Profiling