Details

analyze156.0ms (1.8%)

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
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.0s (24.1%)

Results

1.1s	2757×	body	1024	valid
415.0ms	3897×	body	256	valid
307.0ms	1306×	body	512	valid
227.0ms	296×	body	2048	valid
5.0ms	49×	body	256	infinite
1.0ms	6×	body	256	unsamplable

Bogosity

preprocess145.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1004×	`rational.json-simplify-35`
916×	`rational.json-simplify-2`
900×	`rational.json-simplify-51`
814×	`rational.json-simplify-55`
792×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	23	37
2	41	37
3	87	37
4	209	37
5	624	37
6	1547	37
7	2852	37
8	4942	37
9	7130	37
10	7868	37
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs

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

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

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify139.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational.json-simplify-35`
916×	`rational.json-simplify-2`
900×	`rational.json-simplify-51`
814×	`rational.json-simplify-55`
792×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	23	37
2	41	37
3	87	37
4	209	37
5	624	37
6	1547	37
7	2852	37
8	4942	37
9	7130	37
10	7868	37

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

39.9b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.9b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓	4.3b	(-.f64 (exp.f64 (*.f64 2 x)) 1)
✓	4.3b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 46 to 33 computations (28.3% saved)

series5.0ms (0.1%)

Counts

4 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
0.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0ms	x	@	0	(-.f64 (exp.f64 x) 1)

rewrite101.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`rational.json-1`
1704×	`rational.json-2`
1704×	`rational.json-4`
1704×	`rational.json-3`
1696×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	98
1	98	98
2	235	98
3	542	98
4	1379	98
5	5062	98

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify165.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational.json-simplify-55`
772×	`exponential.json-simplify-26`
706×	`rational.json-simplify-51`
652×	`rational.json-simplify-41`
636×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	319	5814
1	719	5752
2	3011	5582
3	5388	5534
4	7402	5530

Stop Event

1×	node limit

Counts

170 → 250

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 x))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 -1 (-.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(.f64 (+.f64 -2 (.f64 (exp.f64 x) 2)) 1/2)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) -2) -1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(.f64 1/2 (+.f64 -2 (.f64 (exp.f64 x) 2)))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) 2)
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 2 (*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(/.f64 2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(/.f64 -1 (-.f64 0 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 -2 (*.f64 (exp.f64 x) 2)) 2)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -2) -2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8) 8)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -4) -4)
(/.f64 1/2 (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(/.f64 (neg.f64 (+.f64 -2 (*.f64 (exp.f64 x) 2))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 8)) 16)
(/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -4) -1) 4)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 (+.f64 x x)) -1)
(+.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 0)
(+.f64 0 (+.f64 (exp.f64 (+.f64 x x)) -1))
(+.f64 -1 (exp.f64 (+.f64 x x)))
(*.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))
(.f64 2 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1/2))
(.f64 2 (.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -1/2) -1))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(*.f64 -1 (-.f64 1 (exp.f64 (+.f64 x x))))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 (+.f64 x x)))) 1/2)
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) -1)
(*.f64 4 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4) 1/4)
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 8) 1/8)
(.f64 -2 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -1/2))
(.f64 1/2 (+.f64 -2 (.f64 2 (exp.f64 (+.f64 x x)))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) -1/2)
(.f64 -1/2 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2))
(.f64 1/4 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -1/2) -2)
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1/2) 2)
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 (+.f64 x x)))) 2)
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 8) 8)
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -4) -4)
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 8)) 16)
(/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -4) -1) 4)
(pow.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 (+.f64 x x))))
(+.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)
(+.f64 0 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 1 (exp.f64 x)))))
(+.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 -2 (.f64 (exp.f64 x) 2))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 -2 (.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)
(-.f64 0 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 1 (exp.f64 x))))
(*.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 -2 (.f64 (exp.f64 x) 2))))
(.f64 2 (.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -1/2) (/.f64 1 (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) -1))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (.f64 (*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) -1))) 1/2))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) 1/2))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (.f64 -1 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)
(*.f64 -1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 1 (exp.f64 x))))
(.f64 -1 (/.f64 (+.f64 -2 (.f64 2 (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 -2 (*.f64 (exp.f64 x) 2)))))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 (+.f64 x x)))) (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 (+.f64 x x)))) (*.f64 -1/2 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (.f64 -1 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (.f64 (*.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x)))) 1/2))
(.f64 4 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (.f64 (+.f64 (exp.f64 x) -1) 4)))
(*.f64 4 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1/2)
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) -1) 4)))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4) (.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) 4)) 1))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4) (*.f64 1/4 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4) (*.f64 1/2 (/.f64 1/2 (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 (+.f64 x x)) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 2 (.f64 2 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x)))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 2 (+.f64 (exp.f64 (+.f64 x x)) -1))) (/.f64 1 (*.f64 2 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x)))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 2 (+.f64 (exp.f64 (+.f64 x x)) -1))) (/.f64 1/2 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 4) 1/4)
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 8) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) -1) 8)))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -4) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) -1) -4)))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -4) (/.f64 1 (.f64 2 (neg.f64 (+.f64 -2 (.f64 (exp.f64 x) 2))))))
(.f64 -2 (.f64 -1/2 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(.f64 -2 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (.f64 (+.f64 (exp.f64 x) -1) -2)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 1 (exp.f64 x))) -1)
(.f64 1/2 (.f64 2 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 1/2 (+.f64 (exp.f64 x) -1)) (+.f64 -2 (.f64 2 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (-.f64 1 (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (+.f64 -2 (.f64 (exp.f64 x) 2)) (*.f64 2 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x)))))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) (/.f64 1/2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) (*.f64 (/.f64 1/2 (-.f64 1 (exp.f64 x))) 1))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) (*.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) (/.f64 2 (.f64 2 (neg.f64 (+.f64 -2 (.f64 (exp.f64 x) 2))))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2) (/.f64 1 (neg.f64 (+.f64 -2 (*.f64 (exp.f64 x) 2)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1/2))
(.f64 (.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -1/2))
(.f64 -1/2 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 2 (-.f64 1 (exp.f64 x)))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 2 (-.f64 1 (exp.f64 x)))) -1/2)
(.f64 (/.f64 1/2 (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (+.f64 -2 (.f64 (exp.f64 x) 2)) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 -1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1/2 (+.f64 (exp.f64 (+.f64 x x)) -1))) (/.f64 2 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1/2))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 -2 (.f64 (exp.f64 x) 2))) 2)
(.f64 1/4 (.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -1/2) (/.f64 2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1/2) (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 2 (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (.f64 2 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 (+.f64 x x)))))))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) 4)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 4))
(.f64 (/.f64 1/2 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) -2))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)
(neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 1 (exp.f64 x))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 0)
(+.f64 0 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(-.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 0)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1/2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4))
(.f64 (.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) 1/2)
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4) 1/4)
(.f64 1/2 (.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1/2) 2)
(/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4)) (.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4))) 16)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 x 2) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) 4/3)))
(+.f64 (.f64 2 (+.f64 (pow.f64 x 2) x)) (.f64 (pow.f64 x 3) 4/3))
(+.f64 (.f64 2 (+.f64 x (pow.f64 x 2))) (.f64 (pow.f64 x 3) 4/3))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 4/3)) (.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 (pow.f64 x 3) 4/3) (+.f64 (.f64 2 (+.f64 (pow.f64 x 2) x)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 2 (+.f64 x (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 3) 4/3) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 (pow.f64 x 3) 4/3) (+.f64 (.f64 2 (+.f64 x (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 2/3)))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 2 (.f64 1/6 (pow.f64 x 3)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))) (.f64 1/2 (.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))) (.f64 1/2 (.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (-.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(+.f64 (exp.f64 x) -1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 -2 (.f64 (exp.f64 x) 2)) 1/2)
(.f64 1/2 (+.f64 -2 (.f64 2 (exp.f64 x))))
(*.f64 (-.f64 1 (exp.f64 x)) -1)
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(.f64 (.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) 1/2)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4) 1/4)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(.f64 1/2 (.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1/2) 2)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) 2)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4) 4)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4)) 8)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4)) (.f64 2 (.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 4))) 16)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))

eval73.0ms (0.9%)

Compiler: Compiled 5050 to 3356 computations (33.5% saved)

prune99.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	245	5	250
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	6	251

Error

0.1b

Counts

251 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.6b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
▶	22.5b	(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))))
✓	39.9b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶	21.8b	(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
▶	22.9b	(sqrt.f64 (+.f64 x 2))
▶	18.4b	(sqrt.f64 2)

Compiler

Compiled 167 to 151 computations (9.6% saved)

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite232.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2810×	`rational.json-simplify-35`
1770×	`rational.json-simplify-2`
1276×	`exponential.json-3`
1276×	`rational.json-1`
1276×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	96	11
3	186	11
4	344	11
5	758	11
6	1892	11
7	3235	11
8	3955	11
9	4823	11
10	5386	11
11	5386	11
12	5386	11
13	6536	11
14	7590	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2) (.f64 (sqrt.f64 (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (sqrt.f64 (+.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (sqrt.f64 (+.f64 x 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 1/2) (*.f64 (sqrt.f64 (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (+.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2)) 1)))))

simplify1.2s (14.5%)

Algorithm

1×	egg-herbie

Rules

4978×	`rational.json-simplify-35`
1610×	`rational.json-simplify-49`
1482×	`rational.json-simplify-2`
1308×	`rational.json-simplify-1`
890×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	478
1	178	478
2	497	478
3	1432	478
4	2350	478
5	3364	478
6	3888	478
7	3978	478
8	4038	478
9	4081	478
10	4124	478
11	4167	478
12	4210	478
13	4253	478
14	4296	478
15	4339	478
16	4382	478
17	4425	478
18	4468	478
19	5552	478
20	5923	478
21	6060	478
22	6063	478
23	6064	478
24	6064	478
25	6357	478
26	6483	478
27	6609	478
28	6735	478
29	6861	478
30	6987	478
31	7113	478
32	7239	478
33	7365	478
34	7491	478
35	7491	478
36	7491	478
37	7491	478
38	7617	478
39	7743	478
40	7869	478
41	7995	478

Stop Event

1×	node limit

Counts

32 → 39

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 (+.f64 x 2)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2) (.f64 (sqrt.f64 (+.f64 x 2)) 1/2))
(-.f64 (sqrt.f64 (+.f64 x 2)) 0)
(.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 x 2))) 1/2)
(.f64 4 (.f64 (sqrt.f64 (+.f64 x 2)) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 8) 1/8)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 x 2))))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 2)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/4) 4)
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 x 2)) 8))
(/.f64 (sqrt.f64 (+.f64 x 2)) 1)
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))))))) 1024)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8)))))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (sqrt.f64 2)))
(+.f64 (+.f64 (sqrt.f64 2) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32))))))
(+.f64 (sqrt.f64 (+.f64 x 2)) 0)
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2) (.f64 (sqrt.f64 (+.f64 x 2)) 1/2))
(sqrt.f64 (+.f64 2 x))
(-.f64 (sqrt.f64 (+.f64 x 2)) 0)
(sqrt.f64 (+.f64 2 x))
(.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 2 (sqrt.f64 (+.f64 x 2))) 1/2)
(sqrt.f64 (+.f64 2 x))
(.f64 4 (.f64 (sqrt.f64 (+.f64 x 2)) 1/4))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 4) 1/4)
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 8) 1/8)
(sqrt.f64 (+.f64 2 x))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/2) 2)
(sqrt.f64 (+.f64 2 x))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 2)) 4))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 x 2)) 1/4) 4)
(sqrt.f64 (+.f64 2 x))
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 x 2)) 8))
(sqrt.f64 (+.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 4) 4)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) 8) 8)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)) 16)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))) 32)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))) 64)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))) 128)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))))) 256)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) 512)
(sqrt.f64 (+.f64 2 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 2)) 8)))))))) 1024)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓	0.4b	(/.f64 x (sqrt.f64 2))

Compiler

Compiled 25 to 21 computations (16% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`rational.json-1`
1494×	`rational.json-2`
1494×	`rational.json-4`
1494×	`rational.json-3`
1488×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	67	38
2	148	38
3	343	38
4	911	38
5	4020	38

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-53`
994×	`rational.json-simplify-51`
972×	`rational.json-simplify-44`
930×	`rational.json-simplify-35`
912×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2268
1	431	2220
2	1181	1916
3	5104	1916

Stop Event

1×	node limit

Counts

106 → 133

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
✓	8.8b	(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite162.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2458×	`rational.json-simplify-2`
1554×	`rational.json-simplify-35`
1494×	`rational.json-simplify-1`
1360×	`exponential.json-3`
1360×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	73	54
2	150	54
3	299	54
4	612	54
5	1557	54
6	3627	54
7	5098	54
8	6284	54
9	7207	54
10	7207	54

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify182.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1652×	`rational.json-simplify-35`
1506×	`rational.json-simplify-1`
1470×	`rational.json-simplify-2`
1020×	`rational.json-simplify-41`
828×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2485
1	349	2465
2	879	2453
3	2457	2453
4	4155	2453
5	4461	2453
6	4839	2453
7	5811	2453
8	6224	2453
9	6851	2453

Stop Event

1×	node limit

Counts

75 → 111

Calls

Call 1

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

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

localize114.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2)))
✓	1.0b	(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
✓	1.0b	(/.f64 1/2 (sqrt.f64 2))
✓	9.5b	(+.f64 (.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))

Compiler

Compiled 289 to 272 computations (5.9% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(+.f64 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))

1.0ms

(+.f64 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))

0.0ms

-inf

(+.f64 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))

rewrite175.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational.json-1`
1420×	`rational.json-2`
1420×	`rational.json-4`
1420×	`rational.json-3`
1400×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	198
1	165	198
2	357	186
3	869	186
4	2329	182
5	5492	182

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

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

simplify259.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1574×	`rational.json-simplify-35`
1434×	`rational.json-simplify-19`
1026×	`rational.json-simplify-46`
986×	`rational.json-simplify-2`
700×	`rational.json-simplify-40`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	147	3947
1	306	3891
2	570	3891
3	1349	3891
4	2479	3881
5	3345	3881
6	3916	3875
7	5191	3875
8	7273	3875

Stop Event

1×	node limit

Counts

77 → 100

Calls

Call 1

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

Outputs
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))) (pow.f64 x 3)) (/.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))) (pow.f64 x 3)) (/.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(.f64 (-.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (-.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))) (pow.f64 x 3))
(.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (*.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))) (pow.f64 x 3)) (/.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))) (pow.f64 x 3)) (/.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/6) (.f64 1/4 (/.f64 3/8 (sqrt.f64 2)))) (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 3)) (sqrt.f64 2))
(*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 x 3) 7/96) (sqrt.f64 2))
(*.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (/.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 3)) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 3) 7/96) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 3)) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 x 3) 7/96) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 3)) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 x 3) 7/96) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))))
(+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 0)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)))))))
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(.f64 2 (/.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 2))
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 1)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(.f64 1 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))))
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(.f64 (.f64 2 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)))))) 1/2)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 2) 2)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(/.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 1)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)))))) 2)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 4) 4)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 4)) 8)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 4))) 16)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(pow.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2))))) 1)
(+.f64 (.f64 (-.f64 1/6 (.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (/.f64 (sqrt.f64 2) 2) (+.f64 x (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(+.f64 (/.f64 1/2 (sqrt.f64 2)) 0)
(/.f64 1/2 (sqrt.f64 2))
(+.f64 0 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 1/2 (sqrt.f64 2))
(+.f64 (/.f64 1/2 (.f64 2 (sqrt.f64 2))) (/.f64 1/2 (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 1/4 (sqrt.f64 2)) (/.f64 1/4 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 8) 32)
(/.f64 (sqrt.f64 2) 4)
(-.f64 (/.f64 1/2 (sqrt.f64 2)) 0)
(/.f64 1/2 (sqrt.f64 2))
(*.f64 1/2 (/.f64 (sqrt.f64 2) 2))
(.f64 2 (/.f64 1/2 (.f64 2 (sqrt.f64 2))))
(*.f64 2 (/.f64 1/4 (sqrt.f64 2)))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) 1)
(/.f64 1/2 (sqrt.f64 2))
(*.f64 1 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 1/2 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) 2) 1/2)
(*.f64 1/2 (/.f64 (sqrt.f64 2) 2))
(.f64 (/.f64 1/2 (.f64 2 (sqrt.f64 2))) 2)
(*.f64 2 (/.f64 1/4 (sqrt.f64 2)))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 1)
(/.f64 1/2 (sqrt.f64 2))
(+.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 0)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(+.f64 0 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(+.f64 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 2) (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 2))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(-.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 0)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(.f64 1/2 (.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(*.f64 2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 2))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 1)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(*.f64 1 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(.f64 4 (pow.f64 (/.f64 1/2 (.f64 2 (sqrt.f64 2))) 2))
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(.f64 (.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/2)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 2) 2)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) 2) 2) 1/4)
(*.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 2) 2) 2))
(/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 1)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(/.f64 (*.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 4) 4)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 4)) 8)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) 4))) 16)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(+.f64 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 0)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(+.f64 0 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)))
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6)))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))
(+.f64 (-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6)) -1)
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))
(+.f64 (/.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 2) (/.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 2))
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 1/2 (.f64 2 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4))))
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 2 (/.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 2))
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 1)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 1 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)))
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 (.f64 2 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4))) 1/2)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 (.f64 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 4) 1/4)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 (+.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6) -1)
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))
(.f64 -1 (+.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))
(.f64 1/4 (.f64 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 4))
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(.f64 (/.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 2) 2)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(/.f64 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 1)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(/.f64 (.f64 2 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4))) 2)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(/.f64 (.f64 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 4) 4)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6) -1)
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))
(/.f64 (.f64 (.f64 2 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4))) 4) 8)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6)) -2)
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))
(/.f64 (.f64 2 (.f64 (.f64 2 (-.f64 1/6 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4))) 4)) 16)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(pow.f64 (-.f64 1/6 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4)) 1)
(-.f64 1/6 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))
(neg.f64 (+.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 1/4) -1/6))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6)))
(neg.f64 (+.f64 (*.f64 1/4 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) -1/6))

eval256.0ms (3%)

Compiler: Compiled 11040 to 10114 computations (8.4% saved)

prune69.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	417	1	418
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	418	6	424

Error

0.1b

Counts

424 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
▶	22.5b	(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))))
✓	39.9b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	21.8b	(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓	22.9b	(sqrt.f64 (+.f64 x 2))
✓	18.4b	(sqrt.f64 2)

Compiler

Compiled 79 to 70 computations (11.4% saved)

localize79.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8))))
✓	1.0b	(/.f64 1 (sqrt.f64 8))
✓	1.0b	(/.f64 1 (sqrt.f64 2))
✓	9.5b	(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2))))

Compiler

Compiled 211 to 194 computations (8.1% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2))))

1.0ms

(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2))))

0.0ms

-inf

(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2))))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`rational.json-simplify-2`
1248×	`rational.json-1`
1248×	`rational.json-2`
1248×	`rational.json-4`
1248×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	140
1	167	140
2	317	140
3	650	128
4	1413	124
5	4193	124

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(/.f64 1 (sqrt.f64 8))
(-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (sqrt.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (sqrt.f64 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (sqrt.f64 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sqrt.f64 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 8) 1/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8)) (.f64 (.f64 (sqrt.f64 8) 1/8) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 8) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 8) 1/8) 3/4) (.f64 1/4 (.f64 (sqrt.f64 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 8) 1/16) (.f64 (sqrt.f64 8) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 8) 1/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sqrt.f64 8) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 8) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 1/2 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 8) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 8)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 8) 1/16) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (.f64 2 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 8) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sqrt.f64 8)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8))) (.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) (/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 8) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 8) 1/16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))))))

simplify160.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1214×	`rational.json-simplify-2`
980×	`rational.json-simplify-51`
852×	`rational.json-simplify-1`
826×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3390
1	299	3382
2	771	3258
3	2228	3258
4	4339	3258
5	5301	3258
6	6276	3258
7	7350	3258

Stop Event

1×	node limit

Counts

102 → 106

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(*.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(*.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 0)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))))
(.f64 1 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))))
(.f64 1/4 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 4))
(.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 1)
(.f64 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4))
(.f64 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))) 2)
(.f64 (/.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4) 4)
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 4))) 16)
(pow.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 1)
(+.f64 (*.f64 1/2 (sqrt.f64 2)) 0)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 2) 1/4))
(+.f64 0 (*.f64 1/2 (sqrt.f64 2)))
(-.f64 (*.f64 1/2 (sqrt.f64 2)) 0)
(*.f64 1/2 (sqrt.f64 2))
(.f64 1 (.f64 1/2 (sqrt.f64 2)))
(.f64 2 (.f64 (sqrt.f64 2) 1/4))
(*.f64 (sqrt.f64 2) 1/2)
(.f64 (.f64 1/2 (sqrt.f64 2)) 1)
(.f64 (.f64 (sqrt.f64 2) 1/4) 2)
(.f64 1/4 (.f64 2 (sqrt.f64 2)))
(*.f64 1/4 (/.f64 (sqrt.f64 2) 1/2))
(.f64 (.f64 2 (sqrt.f64 2)) 1/4)
(.f64 4 (.f64 (sqrt.f64 2) 1/8))
(.f64 (.f64 (sqrt.f64 2) 4) 1/8)
(.f64 1/8 (.f64 (sqrt.f64 2) 4))
(.f64 (.f64 (sqrt.f64 2) 1/8) 4)
(*.f64 (/.f64 (sqrt.f64 2) 1/2) 1/4)
(pow.f64 (*.f64 1/2 (sqrt.f64 2)) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 2)))
(+.f64 (*.f64 (sqrt.f64 8) 1/8) 0)
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8)) (.f64 (.f64 (sqrt.f64 8) 1/8) 3/4))
(+.f64 0 (*.f64 (sqrt.f64 8) 1/8))
(+.f64 (.f64 (.f64 (sqrt.f64 8) 1/8) 3/4) (.f64 1/4 (.f64 (sqrt.f64 8) 1/8)))
(+.f64 (.f64 (sqrt.f64 8) 1/16) (.f64 (sqrt.f64 8) 1/16))
(-.f64 (*.f64 (sqrt.f64 8) 1/8) 0)
(*.f64 1/2 (/.f64 2 (sqrt.f64 8)))
(.f64 1 (.f64 (sqrt.f64 8) 1/8))
(.f64 2 (.f64 (sqrt.f64 8) 1/16))
(.f64 1/4 (.f64 1/2 (sqrt.f64 8)))
(*.f64 (sqrt.f64 8) 1/8)
(.f64 (.f64 (sqrt.f64 8) 1/8) 1)
(.f64 (.f64 1/4 (*.f64 (sqrt.f64 8) 1/8)) 4)
(.f64 (.f64 2 (sqrt.f64 8)) 1/16)
(.f64 4 (.f64 1/4 (*.f64 (sqrt.f64 8) 1/8)))
(*.f64 (/.f64 2 (sqrt.f64 8)) 1/2)
(.f64 (.f64 (sqrt.f64 8) 1/16) 2)
(*.f64 1/8 (sqrt.f64 8))
(.f64 (.f64 1/2 (sqrt.f64 8)) 1/4)
(.f64 1/16 (.f64 2 (sqrt.f64 8)))
(pow.f64 (*.f64 (sqrt.f64 8) 1/8) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 8)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 1/4 (*.f64 (sqrt.f64 8) 1/8))))
(+.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 0)
(+.f64 0 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))))
(+.f64 -1 (-.f64 1 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))))
(+.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 8) 1/8))) (*.f64 (sqrt.f64 2) 1/4))
(+.f64 (-.f64 1 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) -1)
(+.f64 (/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) (/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2))
(.f64 1/2 (.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2))
(.f64 1/2 (-.f64 (.f64 1/2 (sqrt.f64 2)) (*.f64 (sqrt.f64 8) 1/16)))
(.f64 1 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))))
(.f64 2 (/.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2))
(.f64 1/4 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))
(.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)
(.f64 (.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 1/2)
(.f64 4 (/.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))
(.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -1)
(.f64 -1 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 1/4)
(.f64 (/.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 2)
(.f64 (/.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 4)
(.f64 (-.f64 (.f64 1/2 (sqrt.f64 2)) (*.f64 (sqrt.f64 8) 1/16)) 1/2)
(/.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)
(/.f64 (.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 2)
(/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -1)
(/.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 4)
(/.f64 (.f64 2 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) -2)
(/.f64 (.f64 2 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))) 2)
(pow.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)
(neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))

Outputs
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (*.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2))
(.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (*.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(*.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(*.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) -2)) (.f64 (/.f64 -1 (sqrt.f64 8)) -1/4)) (pow.f64 x 2)) (.f64 7/96 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 0)
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 8) 1/8)) (.f64 1/4 (pow.f64 x 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 8) 1/8)) (.f64 1/4 (pow.f64 x 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(.f64 1 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 8) 1/8)) (.f64 1/4 (pow.f64 x 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 8) 1/8)) (.f64 1/4 (pow.f64 x 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(.f64 1/4 (.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192))) 4))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 8) 1/8)) (.f64 1/4 (pow.f64 x 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(.f64 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))) 1)
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 8) 1/8)) (.f64 1/4 (pow.f64 x 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
(.f64 (.f64 2 (+.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) 7/192)))) 1/2)
(+.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)) -1/4)) (.f64 (sqrt.f64 2) (*.f64 7/192 (pow.f64 x 3))))
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(.f64 (-.f64 (.f64 1/2 (sqrt.f64 2)) (*.f64 (sqrt.f64 8) 1/16)) 1/2)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -2) 2)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))) -1)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4) 4)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (.f64 2 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) -2)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (.f64 2 (.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4)) 8)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 4))) 16)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(/.f64 (neg.f64 (.f64 2 (.f64 1/4 (-.f64 (*.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))) 2)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(pow.f64 (neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2)))) 1)
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
(neg.f64 (.f64 1/4 (-.f64 (.f64 (sqrt.f64 8) 1/8) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (neg.f64 (.f64 (sqrt.f64 8) 1/32)))
(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))

eval248.0ms (2.9%)

Compiler: Compiled 3863 to 3549 computations (8.1% saved)

prune81.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	106	6	112

Error

0.1b

Counts

112 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
▶	22.5b	(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))))))
✓	39.9b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	21.8b	(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓	22.9b	(sqrt.f64 (+.f64 x 2))
✓	18.4b	(sqrt.f64 2)

Compiler

Compiled 75 to 66 computations (12% saved)

localize154.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (pow.f64 x 3) 7/192)
	0.4b	(/.f64 x (sqrt.f64 2))
✓	1.0b	(+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))
✓	9.5b	(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))

Compiler

Compiled 176 to 158 computations (10.2% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
1.0ms	x	@	0	(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 7/192)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 7/192)
0.0ms	x	@	-inf	(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))

rewrite186.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2678×	`rational.json-simplify-2`
1650×	`rational.json-simplify-35`
1220×	`rational.json-1`
1220×	`rational.json-2`
1220×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	137	107
2	243	107
3	465	107
4	883	107
5	2094	107
6	3671	107
7	4701	107
8	5831	107
9	6760	107
10	6760	107

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs

(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))

(+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))

(*.f64 (pow.f64 x 3) 7/192)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 7/192) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 7/192))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 7/384) (*.f64 (pow.f64 x 3) 7/384))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) 7/192) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 7/192) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 7/96) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 7/48) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 7/48)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 7/48))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 7/48)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 7/48))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 7/48)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 7/192) 1)))))

simplify558.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

4088×	`rational.json-simplify-41`
2212×	`rational.json-simplify-2`
1982×	`rational.json-simplify-35`
1800×	`rational.json-simplify-53`
1008×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2947
1	272	2947
2	659	2947
3	1861	2947
4	3453	2947
5	4211	2947
6	4827	2947
7	4943	2947
8	5063	2947
9	5152	2947
10	5877	2947
11	5966	2947
12	6491	2947
13	6758	2947
14	6860	2947
15	6861	2947
16	6861	2947

Stop Event

1×	node limit

Counts

79 → 67

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(.f64 7/192 (.f64 (sqrt.f64 2) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(.f64 7/192 (.f64 (sqrt.f64 2) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1/2))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4))
(.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)))))) 128)
(pow.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 0)
(.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1/2))
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4))
(.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 1)
(.f64 1 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)))
(.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 8) -1/16) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4) 4)
(.f64 (+.f64 (.f64 (sqrt.f64 8) -1/16) (*.f64 (sqrt.f64 2) 1/2)) 1/2)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) 2)
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4)))))) 128)
(pow.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1)
(+.f64 (*.f64 (pow.f64 x 3) 7/192) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 7/192))
(+.f64 (.f64 (pow.f64 x 3) 7/384) (.f64 (pow.f64 x 3) 7/384))
(-.f64 (*.f64 (pow.f64 x 3) 7/192) 0)
(/.f64 (*.f64 (pow.f64 x 3) 7/192) 1)
(/.f64 (*.f64 (pow.f64 x 3) 7/96) 2)
(/.f64 (*.f64 (pow.f64 x 3) 7/48) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 7/48)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 7/48))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 7/48)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 7/48))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 7/48)))))) 128)
(pow.f64 (*.f64 (pow.f64 x 3) 7/192) 1)

Outputs
(.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 7/192 (.f64 (sqrt.f64 2) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2)))
(.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))
(.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 7/192 (.f64 (sqrt.f64 2) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2)))
(.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192))
(.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/32 (sqrt.f64 8))) (pow.f64 x 2)) (.f64 7/192 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(*.f64 7/192 (pow.f64 x 3))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 0)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1/2))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 1)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))) 1/2)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4) 1/4)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1/2) 2)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4) 4)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192)))) 2)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4) 4)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)) 8)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4))) 16)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)))) 32)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))) 4))))) 64)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 4)))))) 128)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(pow.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))) 1)
(+.f64 (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/192)) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 7/192 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/32 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 0)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1/2))
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4))
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 1)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 1 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)))
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) 1/2)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4))
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4) 1/4)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))))
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 8) -1/16) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1/2) 2)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4) 4)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 (sqrt.f64 8) -1/16) (*.f64 (sqrt.f64 2) 1/2)) 1/2)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) 2)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4) 4)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4)) 8)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4))) 16)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4)))) 32)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32)) 4))))) 64)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 4)))))) 128)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(pow.f64 (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32)) 1)
(+.f64 (.f64 -1/32 (sqrt.f64 8)) (.f64 1/4 (sqrt.f64 2)))
(+.f64 (*.f64 (pow.f64 x 3) 7/192) 0)
(*.f64 7/192 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) 7/192))
(*.f64 7/192 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 7/384) (.f64 (pow.f64 x 3) 7/384))
(*.f64 7/192 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) 7/192) 0)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 7/192) 1)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 7/96) 2)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 7/48) 4)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 7/48)) 8)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 7/48))) 16)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 7/48)))) 32)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 7/48))))) 64)
(*.f64 7/192 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 7/48)))))) 128)
(*.f64 7/192 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 7/192) 1)
(*.f64 7/192 (pow.f64 x 3))

eval322.0ms (3.8%)

Compiler: Compiled 6421 to 5818 computations (9.4% saved)

prune76.0ms (0.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	171	6	177

Error

0.1b

Counts

177 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓	22.5b	(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))))))
✓	39.9b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	21.8b	(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓	22.9b	(sqrt.f64 (+.f64 x 2))
✓	18.4b	(sqrt.f64 2)

Compiler

Compiled 75 to 66 computations (12% saved)

regimes83.0ms (1%)

Counts

8 → 2

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 x 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (sqrt.f64 8) -1/32))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 7/192))))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 8)))) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) (sqrt.f64 2))) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))))

Outputs

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

(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192))))))

Calls

3 calls:

69.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

Error	Segments	Branch
0.1b	2	`x`
0.1b	2	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
0.4b	2	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 180 to 160 computations (11.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0144466123187408	1.4142135623730951

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes17.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

Error	Segments	Branch
0.3b	2	`x`
0.2b	2	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
0.4b	2	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 65 to 54 computations (16.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4158327493556915	NaN

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -4.7b remaining (-25.3%)

Threshold costs -4.7b (-25.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
18.4b	1	`x`

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	273

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) 5404319552844595/4503599627370496) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))))))

(if (<=.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) 2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 2))

(sqrt.f64 2)

Outputs

(if (<=.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) 5404319552844595/4503599627370496) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 8) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/192)))))))

(if (<=.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) 2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 2))

(sqrt.f64 2)

Compiler

Compiled 93 to 80 computations (14% saved)

soundness470.0ms (5.6%)

Algorithm

3×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1574×	`rational.json-simplify-35`
1434×	`rational.json-simplify-19`
1236×	`rational.json-simplify-55`
1214×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	5814
1	719	5752
2	3011	5582
3	5388	5534
4	7402	5530
0	147	3947
1	306	3891
2	570	3891
3	1349	3891
4	2479	3881
5	3345	3881
6	3916	3875
7	5191	3875
8	7273	3875
0	159	3390
1	299	3382
2	771	3258
3	2228	3258
4	4339	3258
5	5301	3258
6	6276	3258
7	7350	3258

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 642 to 603 computations (6.1% saved)

end54.0ms (0.6%)

Compiler: Compiled 91 to 77 computations (15.4% saved)

Details

analyze156.0ms (1.8%)

sample2.0s (24.1%)

preprocess145.0ms (1.7%)

simplify139.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.2%)

series5.0ms (0.1%)

rewrite101.0ms (1.2%)

simplify165.0ms (1.9%)

eval73.0ms (0.9%)

prune99.0ms (1.2%)

localize2.0ms (0%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite232.0ms (2.7%)

simplify1.2s (14.5%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite120.0ms (1.4%)

simplify83.0ms (1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite162.0ms (1.9%)

simplify182.0ms (2.2%)

localize114.0ms (1.4%)

series3.0ms (0%)

rewrite175.0ms (2.1%)

simplify259.0ms (3.1%)

eval256.0ms (3%)

prune69.0ms (0.8%)

localize79.0ms (0.9%)

series3.0ms (0%)

rewrite80.0ms (0.9%)

simplify160.0ms (1.9%)

eval248.0ms (2.9%)

prune81.0ms (1%)

localize154.0ms (1.8%)

series3.0ms (0%)

rewrite186.0ms (2.2%)

simplify558.0ms (6.6%)

eval322.0ms (3.8%)

prune76.0ms (0.9%)

regimes83.0ms (1%)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

regimes5.0ms (0.1%)

simplify9.0ms (0.1%)

soundness470.0ms (5.6%)

end54.0ms (0.6%)

Profiling