Details

analyze157.0ms (1.2%)

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)

sample2.1s (15.8%)

Results

1.1s	2747×	body	1024	valid
407.0ms	3856×	body	256	valid
293.0ms	1367×	body	512	valid
164.0ms	286×	body	2048	valid
5.0ms	49×	body	256	infinite
0.0ms	5×	body	256	unsamplable

Bogosity

preprocess144.0ms (1.1%)

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)

simplify142.0ms (1.1%)

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

39.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	4.5b	(-.f64 (exp.f64 x) 1)
✓	4.7b	(-.f64 (exp.f64 (*.f64 2 x)) 1)

Compiler

Compiled 46 to 33 computations (28.3% saved)

series3.0ms (0%)

Counts

4 → 16

Calls

12 calls:

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

rewrite104.0ms (0.8%)

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	1378	98
5	5053	98

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational.json-simplify-2`
1232×	`rational.json-simplify-39`
1036×	`rational.json-simplify-55`
618×	`rational.json-simplify-41`
562×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	5562
1	717	5478
2	2779	5364
3	5376	5364

Stop Event

1×	node limit

Counts

170 → 238

Calls

Call 1

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

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

eval77.0ms (0.6%)

Compiler: Compiled 4847 to 3221 computations (33.5% saved)

prune39.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	232	6	238
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	232	7	239

Error

0.0b

Counts

239 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.3b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
	22.8b	(+.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))))))
✓	39.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶	23.5b	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
▶	22.6b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x)))
▶	23.6b	(sqrt.f64 (+.f64 2 x))
▶	19.5b	(sqrt.f64 2)

Compiler

Compiled 157 to 137 computations (12.7% 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 2 x))

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 2 x))
0.0ms	x	@	0	(sqrt.f64 (+.f64 2 x))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 2 x))

rewrite234.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2810×	`rational.json-simplify-35`
1768×	`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	760	11
6	1888	11
7	3232	11
8	3952	11
9	4820	11
10	5383	11
11	5383	11
12	5383	11
13	6533	11
14	7587	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

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

Outputs

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

simplify1.2s (9.1%)

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 2 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 1/2) (.f64 (sqrt.f64 (+.f64 2 x)) 1/2))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 2 x))) 1/2)
(.f64 4 (.f64 (sqrt.f64 (+.f64 2 x)) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 8) 1/8)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 2 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 2 x)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 1/4) 4)
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 2 x)) 8))
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 2 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 2 x)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 2 x)) 8))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)))))))) 1024)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 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 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 1/2) (.f64 (sqrt.f64 (+.f64 2 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 2 (sqrt.f64 (+.f64 2 x))) 1/2)
(sqrt.f64 (+.f64 2 x))
(.f64 4 (.f64 (sqrt.f64 (+.f64 2 x)) 1/4))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 4) 1/4)
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 8) 1/8)
(sqrt.f64 (+.f64 2 x))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 1/2) 2)
(sqrt.f64 (+.f64 2 x))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 2 x)) 4))
(sqrt.f64 (+.f64 2 x))
(.f64 (.f64 (sqrt.f64 (+.f64 2 x)) 1/4) 4)
(sqrt.f64 (+.f64 2 x))
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 2 x)) 8))
(sqrt.f64 (+.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 4) 4)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 8) 8)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)) 16)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 2 x)) 8))) 32)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)))) 64)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 2 x)) 8))))) 128)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)))))) 256)
(sqrt.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 2 x)) 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 2 x)) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 x)) 8)))))))) 1024)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 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))))
✓	0.5b	(/.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))))

rewrite179.0ms (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 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((#(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)))))

simplify106.0ms (0.8%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x))
✓	10.3b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite170.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2424×	`rational.json-simplify-2`
1540×	`rational.json-simplify-35`
1460×	`rational.json-simplify-1`
1346×	`exponential.json-3`
1346×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	73	61
2	150	61
3	299	61
4	615	61
5	1559	61
6	3617	61
7	5060	61
8	6236	61
9	7153	61
10	7153	61

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

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

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

simplify184.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-50`
1226×	`rational.json-simplify-53`
912×	`rational.json-simplify-2`
832×	`rational.json-simplify-46`
654×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2617
1	423	2597
2	1343	2585
3	3840	2585
4	4809	2585
5	5490	2585
6	6088	2585
7	6923	2585

Stop Event

1×	node limit

Counts

105 → 131

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
✓	0.1b	(*.f64 (pow.f64 x 3) 1/6)
✓	11.0b	(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6)))

Compiler

Compiled 65 to 51 computations (21.5% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 1/6)
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/6)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 1/6)

rewrite175.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2488×	`rational.json-simplify-2`
1802×	`rational.json-simplify-35`
1550×	`rational.json-simplify-1`
1380×	`exponential.json-3`
1380×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	103
1	105	103
2	201	103
3	421	103
4	977	103
5	2079	103
6	3540	103
7	5105	103
8	6241	103
9	7200	103
10	7200	103

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/2 (+.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 3) 1/12) (pow.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (*.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (pow.f64 x 2) (*.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (+.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 3) 1/12) (pow.f64 (*.f64 x 1/2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (pow.f64 x 2) (*.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (pow.f64 x 2) (*.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 2/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/6) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))) (*.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 1)))))

simplify516.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2534×	`rational.json-simplify-35`
1846×	`rational.json-simplify-2`
1060×	`rational.json-simplify-51`
960×	`rational.json-simplify-46`
878×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	3228
1	377	3216
2	780	3210
3	2285	3210
4	4186	3210
5	4674	3210
6	4965	3210
7	5217	3210
8	5241	3210
9	5261	3210
10	5635	3210
11	5699	3210
12	6049	3210
13	7944	3210

Stop Event

1×	node limit

Counts

90 → 101

Calls

Call 1

Inputs
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)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.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 2 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.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 2 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.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 (.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 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 0)
(.f64 2 (+.f64 (.f64 1/2 (+.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (pow.f64 (.f64 x 1/2) 2))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))))
(.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 1)
(.f64 1 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))
(.f64 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))) 1/2)
(.f64 4 (/.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 4))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6)))))) 1/4)
(.f64 (+.f64 (.f64 1/2 (+.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (pow.f64 (.f64 x 1/2) 2))) 2)
(.f64 1/4 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6)))))))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6))) 4)))
(.f64 (/.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 4) 4)
(.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6))) 4)) 1/4)
(.f64 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 1/2)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)
(/.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 1)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6))))) 2)
(/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))))) 4)
(/.f64 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8))))) 128)
(pow.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 1)
(+.f64 (*.f64 (pow.f64 x 3) 1/6) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 1/6))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(-.f64 (*.f64 (pow.f64 x 3) 1/6) 0)
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 2/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 2/3)))))) 128)
(pow.f64 (*.f64 (pow.f64 x 3) 1/6) 1)
(+.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))))
(+.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))) (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))))
(-.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 0)
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))))
(.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 1)
(.f64 1 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))) 1/2)
(.f64 4 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 4) 1/4)
(.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 4))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 4)
(/.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 4)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8))))) 128)
(pow.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 1)

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.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 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.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)) x))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.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)) x))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.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 (.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 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 (.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 (.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 (.f64 1/2 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (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 x (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 (-.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 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 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 0)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (pow.f64 (.f64 x 1/2) 2))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 2 x)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 2) 1/4))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 1/2 (+.f64 2 x)) (.f64 (pow.f64 x 3) 1/12))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 1/2 (+.f64 2 x)) (pow.f64 (.f64 x 1/2) 2))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 4)))))
(.f64 1/2 (+.f64 x (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 4)))))
(.f64 1/2 (+.f64 x (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 1)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(.f64 1 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))))) 1/2)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))))
(.f64 4 (/.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 4))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6)))))) 1/4)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))))
(.f64 (+.f64 (.f64 1/2 (+.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (pow.f64 (.f64 x 1/2) 2))) 2)
(.f64 2 (+.f64 (.f64 1/2 (+.f64 2 x)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 2) 1/4))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 1/2 (+.f64 2 x)) (.f64 (pow.f64 x 3) 1/12))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 1/2 (+.f64 2 x)) (pow.f64 (.f64 x 1/2) 2))))
(.f64 1/4 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6)))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6))) 4)))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 2 (+.f64 x (.f64 1/6 (pow.f64 x 3)))) 4)))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) 4)))
(.f64 (/.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 4) 4)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6))) 4)) 1/4)
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 2 (+.f64 x (.f64 1/6 (pow.f64 x 3)))) 4)))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) 4)))
(.f64 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 1/2)
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 4)))))
(.f64 1/2 (+.f64 x (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 4)))))
(.f64 1/2 (+.f64 x (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 1/2 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))
(/.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 1)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (.f64 (pow.f64 x 3) 1/6))))) 2)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 2 (+.f64 x (.f64 1/6 (pow.f64 x 3)))))) 2)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))) 2)
(/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 x (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))))) 4)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))))
(/.f64 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8) 8)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 8)) 16)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8))) 32)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 8)))) 64)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))) 8))))) 128)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(pow.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))) 1)
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 x 3) 1/6) 0)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) 1/6))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) 1/6) 0)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 2/3)) 8)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 2/3))) 16)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 2/3)))) 32)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 2/3))))) 64)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 2/3)))))) 128)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/6) 1)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 0)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(+.f64 0 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))) (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(-.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 0)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 1)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 1 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))) 1/2)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 4 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 4) 1/4)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))))) 2)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 4))
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 4)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 1)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6)))))) 2)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 4) 4)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8) 8)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 8)) 16)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8))) 32)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 8)))) 64)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))) 8))))) 128)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))
(pow.f64 (sqrt.f64 (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/6))))) 1)
(sqrt.f64 (+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))))

eval176.0ms (1.4%)

Compiler: Compiled 7690 to 6719 computations (12.6% saved)

prune135.0ms (1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	434	10	444

Error

Counts

444 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.3b	(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
▶	22.8b	(+.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))))))
▶	62.2b	(*.f64 (sqrt.f64 1/2) x)
✓	39.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	23.5b	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
✓	22.6b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x)))
✓	23.6b	(sqrt.f64 (+.f64 2 x))
▶	23.5b	(sqrt.f64 (.f64 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 1/2))
▶	62.7b	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
✓	19.5b	(sqrt.f64 2)

Compiler

Compiled 116 to 99 computations (14.7% saved)

localize80.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	17.3b	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
1.0ms	x	@	0	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
0.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))

rewrite268.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3368×	`rational.json-simplify-35`
2056×	`rational.json-simplify-2`
1100×	`exponential.json-3`
1100×	`rational.json-1`
1100×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	57	30
2	115	30
3	220	30
4	387	30
5	836	30
6	2025	30
7	3354	30
8	3914	30
9	4663	30
10	5554	30
11	6027	30
12	6027	30
13	6657	30
14	6813	30
15	7312	30

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2) (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 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 1/6 (pow.f64 x 3))) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 4/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))))

simplify280.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3958×	`rational.json-simplify-51`
3292×	`rational.json-simplify-41`
2008×	`rational.json-simplify-35`
1472×	`rational.json-simplify-2`
676×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	714
1	233	714
2	640	714
3	1832	714
4	3341	714
5	4071	714
6	4227	714
7	4340	714
8	4446	714
9	4527	714
10	4608	714
11	4735	714
12	4816	714
13	4897	714
14	4978	714
15	4978	714

Stop Event

1×	node limit

Counts

46 → 48

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 0)
(+.f64 0 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 1/2) (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 1/2))
(-.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 0)
(.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 1)
(.f64 1 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))))
(.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2) 1/2)
(.f64 4 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/4))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8) 1/8)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/4) 4)
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8))
(/.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 4) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))))))) 1024)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))))))))) 2048)
(pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))))) 1024)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))))))) 2048)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)

Outputs
(+.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 0)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 0 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 1/2) (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 1/2))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 0)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 1)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 1 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2) 1/2)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 4 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/4))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4) 1/4)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8) 1/8)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/2) 2)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 4))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1/4) 4)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 2) 2)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 4) 4)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8) 8)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)) 16)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))) 32)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))) 64)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))))) 128)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))))) 256)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))))))) 512)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 8)))))))) 1024)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 3))) 8))))))))) 2048)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 1)
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 8)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 16)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 32)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 64)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 128)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 256)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))))) 512)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))))) 1024)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))))))) 2048)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (+.f64 (+.f64 x (+.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 1/2))
✓	0.0b	(+.f64 x (+.f64 x 4))
✓	0.1b	(*.f64 (pow.f64 x 3) 1/3)
✓	11.0b	(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))

Compiler

Compiled 85 to 64 computations (24.7% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite278.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2264×	`rational.json-simplify-35`
2026×	`rational.json-simplify-2`
1554×	`rational.json-simplify-1`
1382×	`rational.json-1`
1382×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	118	104
2	223	104
3	481	104
4	1171	104
5	2638	104
6	3993	104
7	5292	104
8	6101	104
9	6101	104
10	6101	104
11	7606	104

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 x (+.f64 x 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 x (+.f64 x 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 x (+.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 x (+.f64 x 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 x (+.f64 x 4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 4 (+.f64 x (+.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (+.f64 x 4)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (+.f64 x 4)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 x (+.f64 x 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 x (+.f64 x 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 x 4)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)))))

simplify612.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2958×	`rational.json-simplify-35`
2912×	`rational.json-simplify-2`
2566×	`rational.json-simplify-51`
1696×	`rational.json-simplify-1`
886×	`rational.json-simplify-41`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	159	2888
1	337	2858
2	798	2838
3	2156	2838
4	3428	2838
5	3668	2838
6	3819	2838
7	3903	2838
8	3986	2838
9	4069	2838
10	4591	2838
11	4683	2838
12	4775	2838
13	4856	2838
14	4937	2838
15	4937	2828
16	6652	2828
17	6747	2828
18	6822	2828
19	6897	2828
20	6972	2828
21	7047	2828

Stop Event

1×	node limit

Counts

116 → 106

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
4
(+.f64 (*.f64 2 x) 4)
(+.f64 (*.f64 2 x) 4)
(+.f64 (*.f64 2 x) 4)
(*.f64 2 x)
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 2 x))
(*.f64 2 x)
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 2 x))
(*.f64 2 (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (*.f64 2 (sqrt.f64 1/2)))
(+.f64 (.f64 3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (*.f64 2 (sqrt.f64 1/2))))
(+.f64 (.f64 7/192 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (*.f64 2 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 0)
(.f64 2 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2))
(.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1)
(.f64 4 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))
(.f64 1/2 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 1/2)
(.f64 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2) 2)
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 4)
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1)
(/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2)
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)))))) 128)
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1)
(+.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(-.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(-.f64 (+.f64 x (+.f64 x 4)) 0)
(.f64 2 (.f64 (+.f64 x (+.f64 x 4)) 1/2))
(*.f64 4 (/.f64 (+.f64 x (+.f64 x 4)) 4))
(*.f64 (+.f64 x (+.f64 x 4)) 1)
(.f64 1/2 (.f64 2 (+.f64 x (+.f64 x 4))))
(*.f64 1 (+.f64 x (+.f64 x 4)))
(.f64 (.f64 2 (+.f64 x (+.f64 x 4))) 1/2)
(.f64 (.f64 4 (+.f64 x (+.f64 x 4))) 1/4)
(.f64 1/4 (.f64 4 (+.f64 x (+.f64 x 4))))
(.f64 (.f64 (+.f64 x (+.f64 x 4)) 1/2) 2)
(*.f64 (/.f64 (+.f64 x (+.f64 x 4)) 4) 4)
(/.f64 (+.f64 x (+.f64 x 4)) 1)
(/.f64 (*.f64 2 (+.f64 x (+.f64 x 4))) 2)
(/.f64 (*.f64 4 (+.f64 x (+.f64 x 4))) 4)
(/.f64 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 x (+.f64 x 4))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 4 (+.f64 x (+.f64 x 4))))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))))))) 128)
(pow.f64 (+.f64 x (+.f64 x 4)) 1)
(+.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 0)
(+.f64 0 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))
(+.f64 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 0)
(.f64 2 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 4))
(.f64 1/2 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(.f64 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)
(.f64 1 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))
(.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 1/2)
(.f64 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 1/4)
(.f64 1/4 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 2)
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 4) 4)
(/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 2)
(/.f64 (.f64 4 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 4)
(/.f64 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))))) 128)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
4
(+.f64 (*.f64 2 x) 4)
(+.f64 4 (*.f64 x 2))
(+.f64 (*.f64 2 x) 4)
(+.f64 4 (*.f64 x 2))
(+.f64 (*.f64 2 x) 4)
(+.f64 4 (*.f64 x 2))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 x 2))
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 x 2))
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 x 2))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 x 2))
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 x 2))
(+.f64 4 (*.f64 2 x))
(+.f64 4 (*.f64 x 2))
(*.f64 2 (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (*.f64 2 (sqrt.f64 1/2)))
(+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 1/2 (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2)))
(+.f64 (.f64 3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (*.f64 2 (sqrt.f64 1/2))))
(+.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 1/2 (.f64 x (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 3/16)))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
(+.f64 (.f64 7/192 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (*.f64 2 (sqrt.f64 1/2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 3/16)) (+.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 1/2 (.f64 x (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) 7/192))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))) (.f64 (pow.f64 x 3) (.f64 7/192 (sqrt.f64 1/2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (*.f64 (pow.f64 x 3) 7/192))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 1/2) 3/16)) (.f64 (sqrt.f64 1/2) (+.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) 7/192)))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 3) 7/192) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (.f64 x 1/2)))))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 0)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 2 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 4 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 1/2 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 1/2)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) 1/4)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 1/4 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4))
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 4)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 4)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)) 8)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))) 16)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)))) 32)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) 64)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)))))) 128)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(*.f64 1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (+.f64 x (+.f64 x 4)) 0)
(+.f64 x (+.f64 x 4))
(.f64 2 (.f64 (+.f64 x (+.f64 x 4)) 1/2))
(+.f64 x (+.f64 x 4))
(*.f64 4 (/.f64 (+.f64 x (+.f64 x 4)) 4))
(+.f64 x (+.f64 x 4))
(*.f64 (+.f64 x (+.f64 x 4)) 1)
(+.f64 x (+.f64 x 4))
(.f64 1/2 (.f64 2 (+.f64 x (+.f64 x 4))))
(+.f64 x (+.f64 x 4))
(*.f64 1 (+.f64 x (+.f64 x 4)))
(+.f64 x (+.f64 x 4))
(.f64 (.f64 2 (+.f64 x (+.f64 x 4))) 1/2)
(+.f64 x (+.f64 x 4))
(.f64 (.f64 4 (+.f64 x (+.f64 x 4))) 1/4)
(+.f64 x (+.f64 x 4))
(.f64 1/4 (.f64 4 (+.f64 x (+.f64 x 4))))
(+.f64 x (+.f64 x 4))
(.f64 (.f64 (+.f64 x (+.f64 x 4)) 1/2) 2)
(+.f64 x (+.f64 x 4))
(*.f64 (/.f64 (+.f64 x (+.f64 x 4)) 4) 4)
(+.f64 x (+.f64 x 4))
(/.f64 (+.f64 x (+.f64 x 4)) 1)
(+.f64 x (+.f64 x 4))
(/.f64 (*.f64 2 (+.f64 x (+.f64 x 4))) 2)
(+.f64 x (+.f64 x 4))
(/.f64 (*.f64 4 (+.f64 x (+.f64 x 4))) 4)
(+.f64 x (+.f64 x 4))
(/.f64 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))) 8)
(+.f64 x (+.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 x (+.f64 x 4))))) 16)
(+.f64 x (+.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))))) 32)
(+.f64 x (+.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 4 (+.f64 x (+.f64 x 4))))))) 64)
(+.f64 x (+.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 x (+.f64 x 4)))))))) 128)
(+.f64 x (+.f64 x 4))
(pow.f64 (+.f64 x (+.f64 x 4)) 1)
(+.f64 x (+.f64 x 4))
(+.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 0)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(+.f64 0 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(+.f64 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(-.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 0)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 2 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 4))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 1/2 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 1 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 1/2)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 1/4)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 1/4 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 2)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 4) 4)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 2)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (.f64 4 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))) 4)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))) 8)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))) 16)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))) 32)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) 64)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)))))))) 128)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 x 4)))) 1/2)) 1)
(sqrt.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (+.f64 x 4)) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x 4) (+.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (.f64 1/2 (+.f64 (+.f64 x (+.f64 4 (pow.f64 x 2))) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x))))))
(sqrt.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 x 4)))))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite221.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`rational.json-simplify-35`
1606×	`rational.json-1`
1606×	`rational.json-2`
1516×	`rational.json-simplify-53`
1262×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	96	11
3	189	11
4	328	11
5	705	11
6	1681	11
7	2913	11
8	3835	11
9	4978	11
10	6127	11
11	7086	11
12	7086	11
13	7717	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify679.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

3868×	`rational.json-simplify-35`
3328×	`rational.json-simplify-2`
1746×	`rational.json-simplify-53`
960×	`rational.json-simplify-49`
920×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	165
1	134	165
2	296	165
3	743	165
4	2330	165
5	3843	165
6	4480	165
7	4720	165
8	4905	165
9	5066	165
10	5732	165
11	6705	165
12	6796	165
13	6796	165
14	6957	165
15	7116	165
16	7275	165
17	7434	165
18	7593	165
19	7752	165
20	7911	165

Stop Event

1×	node limit

Counts

15 → 16

Calls

Call 1

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

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

localize106.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 124 to 114 computations (8.1% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational.json-1`
1436×	`rational.json-2`
1436×	`rational.json-4`
1436×	`rational.json-3`
1428×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	86	73
2	189	73
3	453	73
4	1114	73
5	4241	73

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

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

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1466×	`rational.json-simplify-49`
1248×	`rational.json-simplify-46`
814×	`rational.json-simplify-53`
752×	`rational.json-simplify-35`
666×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2119
1	868	2061
2	2295	2049
3	5275	2049
4	7214	2049

Stop Event

1×	node limit

Counts

121 → 119

Calls

Call 1

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

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

eval511.0ms (3.9%)

Compiler: Compiled 9803 to 8787 computations (10.4% saved)

prune168.0ms (1.3%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	0	0	0
Picked	1	0	1
Done	2	7	9
Total	392	11	403

Error

Counts

403 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.8b	(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))
▶	22.8b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
▶	23.3b	(.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2)))
✓	62.2b	(*.f64 (sqrt.f64 1/2) x)
✓	39.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	23.5b	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
✓	22.6b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x)))
✓	23.6b	(sqrt.f64 (+.f64 2 x))
▶	22.6b	(sqrt.f64 (*.f64 (+.f64 (+.f64 x (+.f64 x 4)) (pow.f64 x 2)) 1/2))
✓	62.7b	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
✓	19.5b	(sqrt.f64 2)

Compiler

Compiled 116 to 98 computations (15.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (+.f64 x (+.f64 x 4)) (pow.f64 x 2))
	0.0b	(+.f64 x (+.f64 x 4))
✓	10.3b	(sqrt.f64 (*.f64 (+.f64 (+.f64 x (+.f64 x 4)) (pow.f64 x 2)) 1/2))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite214.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2370×	`rational.json-simplify-35`
2056×	`rational.json-simplify-2`
1322×	`rational.json-1`
1322×	`rational.json-2`
1322×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	84	60
2	159	60
3	323	60
4	697	60
5	1544	60
6	3084	60
7	4583	60
8	5418	60
9	6095	60
10	6095	60
11	7210	60
12	7783	60

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify322.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-35`
1480×	`rational.json-simplify-2`
1200×	`rational.json-simplify-1`
1020×	`rational.json-simplify-61`
856×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	2365
1	306	2285
2	861	2265
3	2090	2255
4	3379	2243
5	4046	2243
6	4154	2243
7	4309	2243
8	4742	2243
9	5869	2243
10	6397	2243
11	7165	2243
12	7654	2243

Stop Event

1×	node limit

Counts

77 → 116

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite192.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational.json-simplify-35`
1434×	`rational.json-simplify-1`
1402×	`exponential.json-3`
1402×	`rational.json-1`
1402×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	65	23
2	125	23
3	241	23
4	438	23
5	983	23
6	2481	23
7	4335	23
8	5510	23
9	7050	23
10	7885	23
11	7885	23

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify822.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

3480×	`rational.json-simplify-35`
2712×	`rational.json-simplify-2`
2072×	`rational.json-simplify-53`
1100×	`exponential.json-simplify-26`
876×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	664
1	133	574
2	259	574
3	584	574
4	1630	574
5	2998	574
6	4111	574
7	4480	574
8	4608	574
9	4723	574
10	4836	574
11	4948	574
12	5541	574
13	5961	574
14	6138	574
15	6216	574
16	6217	574
17	6217	574
18	6329	574
19	6441	574
20	6553	574
21	6665	574
22	6777	574
23	7099	574
24	7514	574
25	7802	574

Stop Event

1×	node limit

Counts

26 → 23

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (.f64 x 1/2)))
✓	0.1b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
✓	0.2b	(*.f64 (pow.f64 x 2) 3/16)

Compiler

Compiled 48 to 39 computations (18.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 3/16)
0.0ms	x	@	0	(*.f64 (pow.f64 x 2) 3/16)
0.0ms	x	@	inf	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
0.0ms	x	@	0	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational.json-simplify-35`
1624×	`rational.json-1`
1624×	`rational.json-2`
1624×	`rational.json-3`
1596×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	93	85
2	179	85
3	354	85
4	729	85
5	1880	85
6	3896	85
7	5421	85
8	7088	85

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 2) 3/16)
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
(+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (.f64 x 1/2)))

Outputs

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

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

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

simplify483.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3294×	`rational.json-simplify-41`
3282×	`rational.json-simplify-35`
2360×	`rational.json-simplify-2`
876×	`exponential.json-simplify-26`
870×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2721
1	291	2489
2	645	2285
3	1962	2285
4	4006	2285
5	5085	2285
6	5425	2285
7	5577	2285
8	5722	2285
9	5865	2285
10	6509	2285
11	6801	2285
12	6809	2285
13	6813	2285
14	6825	2285
15	6982	2285
16	7122	2285
17	7261	2285
18	7400	2285

Stop Event

1×	node limit

Counts

85 → 81

Calls

Call 1

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

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

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))
	0.2b	(.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2)))
✓	0.2b	(.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2)))
✓	1.0b	(*.f64 3/16 (sqrt.f64 1/2))

Compiler

Compiled 55 to 47 computations (14.5% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2)))
0.0ms	x	@	inf	(.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2)))
0.0ms	x	@	-inf	(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))
0.0ms	x	@	0	(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))
0.0ms	x	@	inf	(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))

rewrite199.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`rational.json-simplify-35`
1408×	`rational.json-simplify-53`
1372×	`exponential.json-3`
1372×	`rational.json-1`
1372×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	100	85
2	192	75
3	382	75
4	742	75
5	1867	75
6	3914	75
7	5391	75
8	6511	75
9	7530	75
10	7530	75

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(*.f64 3/16 (sqrt.f64 1/2))
(.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))

Outputs

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

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

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

simplify370.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2578×	`rational.json-simplify-35`
2522×	`rational.json-simplify-2`
1324×	`rational.json-simplify-53`
1030×	`rational.json-simplify-43`
872×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	3802
1	409	3332
2	899	2860
3	2748	2860
4	4553	2860
5	5719	2860
6	6281	2860
7	6679	2860
8	6965	2860
9	7872	2860
10	7874	2860
11	7875	2860
12	7875	2860

Stop Event

1×	node limit

Counts

92 → 89

Calls

Call 1

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

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

eval293.0ms (2.2%)

Compiler: Compiled 7159 to 6153 computations (14.1% saved)

prune138.0ms (1.1%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	423	13	436

Error

Counts

436 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.8b	(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2))) (.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2))))
	61.5b	(.f64 (pow.f64 x 2) (.f64 3/16 (sqrt.f64 1/2)))
✓	22.8b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 2 (*.f64 x 1/2))))
	61.7b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 x 1/2) (*.f64 3/16 (pow.f64 x 2))))
✓	23.3b	(.f64 (sqrt.f64 1/2) (+.f64 2 (.f64 x 1/2)))
✓	62.2b	(*.f64 (sqrt.f64 1/2) x)
✓	39.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	23.5b	(sqrt.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (.f64 (pow.f64 x 3) 1/6))))
✓	22.6b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x)))
✓	23.6b	(sqrt.f64 (+.f64 2 x))
✓	22.6b	(sqrt.f64 (*.f64 (+.f64 (+.f64 x (+.f64 x 4)) (pow.f64 x 2)) 1/2))
✓	62.7b	(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
✓	19.5b	(sqrt.f64 2)

Compiler

Compiled 138 to 117 computations (15.2% saved)

regimes33.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
8.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
4.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

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

Compiler

Compiled 205 to 172 computations (16.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0177811889547972	1.9999992442934282

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes28.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

Calls

3 calls:

14.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
4.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

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

Compiler

Compiled 129 to 107 computations (17.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0177811889547972	1.9999992442934282

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -43.4b remaining (-222.9%)

Threshold costs -43.4b (-222.9%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 2)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
19.5b	1	`x`

Compiler

Compiled 92 to 76 computations (17.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	237

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) 1/6)))))

(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x))))

(sqrt.f64 2)

Outputs

(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) 1/6)))))

(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 2 x))))

(sqrt.f64 2)

Compiler

Compiled 83 to 68 computations (18.1% saved)

soundness189.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational.json-simplify-2`
1232×	`rational.json-simplify-39`
1036×	`rational.json-simplify-55`
618×	`rational.json-simplify-41`
562×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	5562
1	717	5478
2	2779	5364
3	5376	5364

Stop Event

1×	node limit

Compiler

Compiled 97 to 79 computations (18.6% saved)

end46.0ms (0.4%)

Compiler: Compiled 81 to 65 computations (19.8% saved)

Details

analyze157.0ms (1.2%)

sample2.1s (15.8%)

preprocess144.0ms (1.1%)

simplify142.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.1%)

series3.0ms (0%)

rewrite104.0ms (0.8%)

simplify123.0ms (0.9%)

eval77.0ms (0.6%)

prune39.0ms (0.3%)

localize2.0ms (0%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite234.0ms (1.8%)

simplify1.2s (9.1%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite179.0ms (1.4%)

simplify106.0ms (0.8%)

localize14.0ms (0.1%)

series4.0ms (0%)

rewrite170.0ms (1.3%)

simplify184.0ms (1.4%)

localize24.0ms (0.2%)

series4.0ms (0%)

rewrite175.0ms (1.3%)

simplify516.0ms (4%)

eval176.0ms (1.4%)

prune135.0ms (1%)

localize80.0ms (0.6%)

series2.0ms (0%)

rewrite268.0ms (2.1%)

simplify280.0ms (2.1%)

localize66.0ms (0.5%)

series3.0ms (0%)

rewrite278.0ms (2.1%)

simplify612.0ms (4.7%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite221.0ms (1.7%)

simplify679.0ms (5.2%)

localize106.0ms (0.8%)

series2.0ms (0%)

rewrite92.0ms (0.7%)

simplify113.0ms (0.9%)

eval511.0ms (3.9%)

prune168.0ms (1.3%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite214.0ms (1.6%)

simplify322.0ms (2.5%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite192.0ms (1.5%)

simplify822.0ms (6.3%)

localize20.0ms (0.2%)

series4.0ms (0%)

rewrite127.0ms (1%)

simplify483.0ms (3.7%)

localize54.0ms (0.4%)

series1.0ms (0%)

rewrite199.0ms (1.5%)

simplify370.0ms (2.8%)

eval293.0ms (2.2%)

prune138.0ms (1.1%)

regimes33.0ms (0.3%)

bsearch0.0ms (0%)

regimes28.0ms (0.2%)

bsearch0.0ms (0%)

regimes9.0ms (0.1%)

simplify4.0ms (0%)

soundness189.0ms (1.4%)

end46.0ms (0.4%)

Profiling