Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
60%	37.5%	25%	0%	0%	37.5%	0%	4
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	5
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	6
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	7
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	8
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	9
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	10
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	11
99.8%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (23.5%)

Results

915.0ms	4911×	body	256	valid
730.0ms	2094×	body	1024	valid
308.0ms	1037×	body	512	valid
89.0ms	214×	body	2048	valid
1.0ms	12×	body	256	invalid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite111.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational.json-simplify-35`
1312×	`exponential.json-3`
1312×	`rational.json-1`
1312×	`rational.json-2`
1312×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	66	21
2	145	21
3	282	21
4	526	21
5	1164	21
6	2734	21
7	4450	21
8	6289	21

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

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

Outputs

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

simplify625.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

2802×	`rational.json-simplify-35`
1718×	`rational.json-simplify-1`
1436×	`rational.json-simplify-2`
890×	`rational.json-simplify-51`
764×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1749
1	220	1749
2	824	1349
3	1797	1149
4	3313	1149
5	4517	1149
6	5292	1149
7	6122	1149
8	6504	1149
9	6684	1149
10	6849	1149
11	7299	1149
12	7482	1149
13	7652	1149
14	7659	1149
15	7670	1149
16	7672	1149
17	7675	1149
18	7829	1149
19	7983	1149

Stop Event

1×	node limit

Counts

53 → 58

Calls

Call 1

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

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

eval12.0ms (0.1%)

Compiler: Compiled 664 to 480 computations (27.7% saved)

prune9.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

31.9b

Counts

59 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	32.9b	(+.f64 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) -1))
▶	32.9b	(+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
	33.9b	1

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (sqrt.f64 x))
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	4.1b	(+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series2.0ms (0%)

Counts

3 → 6

Calls

9 calls:

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

rewrite125.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`rational.json-simplify-35`
1632×	`rational.json-1`
1632×	`rational.json-2`
1632×	`rational.json-4`
1632×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	90	61
2	188	61
3	369	55
4	764	53
5	1917	53
6	4008	53
7	5361	53
8	7134	53

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 -1 (sqrt.f64 x))

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

Outputs

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

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

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

simplify476.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

2248×	`rational.json-simplify-35`
1770×	`rational.json-simplify-2`
1606×	`rational.json-simplify-1`
1250×	`rational.json-simplify-51`
824×	`rational.json-simplify-52`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	172	1764
1	369	1592
2	906	1592
3	1959	1592
4	3233	1592
5	4020	1592
6	4866	1580
7	5425	1580
8	6193	1580
9	6402	1580
10	6582	1580
11	7101	1580
12	7157	1580
13	7617	1580
14	7748	1580
15	7783	1580
16	7802	1580

Stop Event

1×	node limit

Counts

92 → 109

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) -1)
✓	2.6b	(+.f64 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) -1))
	4.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

New

Error

Program

✓

0.0b

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

✓

2.6b

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

4.0b

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 85 to 60 computations (29.4% saved)

series5.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

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

rewrite131.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`rational.json-1`
1668×	`rational.json-2`
1148×	`rational.json-simplify-35`
1052×	`exponential.json-3`
1052×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	125	104
2	257	104
3	510	98
4	1047	96
5	2212	54
6	3990	54
7	5714	54
8	7617	54

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify557.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

3434×	`rational.json-simplify-42`
2396×	`rational.json-simplify-35`
1442×	`rational.json-simplify-2`
1092×	`rational.json-simplify-1`
1066×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2777
1	416	2585
2	1277	2585
3	3033	2393
4	4899	2393
5	5810	2393
6	6179	2393
7	6334	2393
8	6472	2393
9	6610	2393
10	6741	2393
11	6782	2393
12	6836	2393
13	6842	2393
14	6845	2393
15	6845	2393
16	6976	2393
17	7107	2393

Stop Event

1×	node limit

Counts

95 → 100

Calls

Call 1

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

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

eval177.0ms (2%)

Compiler: Compiled 6638 to 5079 computations (23.5% saved)

prune223.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	319	6	325
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	321	8	329

Error

31.9b

Counts

329 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	32.2b	(+.f64 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (-.f64 (.f64 (sqrt.f64 x) 1/2) -1)))
▶	33.9b	(+.f64 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) -1/2)
	32.9b	(+.f64 (-.f64 1 (/.f64 (+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2)) (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) -1))
▶	33.9b	(+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 (*.f64 1/2 x) 2))
▶	35.2b	(+.f64 (-.f64 -1 (sqrt.f64 x)) 2)
▶	32.9b	(*.f64 1/2 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
	33.9b	1

Compiler

Compiled 226 to 184 computations (18.6% saved)

localize57.0ms (0.7%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

2.6b

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

4.0b

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

✓

4.7b

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

Compiler

Compiled 103 to 74 computations (28.2% saved)

series5.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

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

rewrite113.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-1`
1606×	`rational.json-2`
1606×	`rational.json-4`
1606×	`rational.json-3`
1414×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	150	104
2	289	104
3	577	104
4	1131	54
5	2794	54
6	5141	54
7	6923	54

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify179.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-35`
1154×	`rational.json-simplify-52`
1100×	`rational.json-simplify-42`
1068×	`rational.json-simplify-2`
924×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	183	2682
1	397	2652
2	1032	2652
3	2382	2612
4	5188	2600
5	6998	2600
6	7581	2600
7	7838	2600

Stop Event

1×	node limit

Counts

96 → 107

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 -1 (sqrt.f64 x))
✓	0.0b	(+.f64 (-.f64 -1 (sqrt.f64 x)) 2)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite128.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`rational.json-simplify-35`
1470×	`exponential.json-3`
1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	60	17
2	125	17
3	235	17
4	428	17
5	939	15
6	2497	11
7	4505	11
8	5380	11
9	6954	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify271.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2862×	`rational.json-simplify-2`
1584×	`rational.json-simplify-52`
1482×	`rational.json-simplify-51`
1400×	`rational.json-simplify-1`
1360×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	760
1	150	562
2	423	364
3	1271	364
4	2289	364
5	2907	364
6	3330	364
7	3987	364
8	4192	364
9	4371	364
10	5440	364
11	5680	364
12	5890	364
13	6366	364
14	7032	364
15	7671	364

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite141.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`rational.json-simplify-35`
1540×	`exponential.json-3`
1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	82	29
2	167	29
3	327	29
4	652	29
5	1659	29
6	3906	29
7	5427	29
8	6829	29
9	7973	29

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify352.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2610×	`rational.json-simplify-2`
1844×	`rational.json-simplify-1`
1644×	`rational.json-simplify-49`
1562×	`rational.json-simplify-48`
1254×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	782
1	150	782
2	342	742
3	1103	736
4	1998	644
5	2446	644
6	2563	644
7	2789	644
8	3055	644
9	3222	644
10	4395	644
11	5026	644
12	5167	644
13	5284	644
14	5927	644
15	6299	644
16	6442	644
17	6599	644
18	6699	644
19	7830	644

Stop Event

1×	node limit

Counts

28 → 37

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) -1/2)
	4.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 54 to 38 computations (29.6% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

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

0.0ms

inf

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

0.0ms

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

rewrite119.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	101	39
2	213	39
3	417	39
4	808	39
5	1870	39
6	3802	39
7	5398	33
8	7161	33

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify351.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2452×	`rational.json-simplify-51`
2320×	`rational.json-simplify-48`
1800×	`rational.json-simplify-1`
1438×	`rational.json-simplify-49`
1040×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	672
1	116	672
2	210	672
3	487	672
4	1042	672
5	2306	672
6	3284	672
7	3695	672
8	4300	672
9	4377	672
10	4416	672
11	4453	672
12	4853	672
13	4890	672
14	5431	672
15	5518	672
16	5559	672
17	5595	672
18	5630	672
19	5665	672
20	5700	672

Stop Event

1×	node limit

Counts

22 → 23

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)

✓

2.6b

(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))

✓

4.0b

(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 80 to 55 computations (31.3% saved)

series4.0ms (0%)

Counts

3 → 4

Calls

9 calls:

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

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`rational.json-simplify-35`
1518×	`exponential.json-3`
1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	107
1	102	95
2	212	75
3	416	75
4	892	75
5	1798	75
6	3099	75
7	4929	75
8	6759	75

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))

(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)

Outputs

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

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

simplify737.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

1958×	`rational.json-simplify-1`
1808×	`rational.json-simplify-35`
1456×	`rational.json-simplify-2`
964×	`rational.json-simplify-52`
690×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	206	3529
1	439	2929
2	1271	2929
3	3375	2929
4	5226	2929
5	6156	2929
6	7173	2929
7	7553	2929
8	7575	2929
9	7578	2929
10	7942	2929
11	7975	2929

Stop Event

1×	node limit

Counts

121 → 128

Calls

Call 1

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

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

eval208.0ms (2.4%)

Compiler: Compiled 11196 to 8623 computations (23% saved)

prune106.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	590	4	594
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	594	8	602

Error

31.9b

Counts

602 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	35.2b	(-.f64 1 (sqrt.f64 x))
✓	33.9b	(+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 (*.f64 1/2 x) 2))
✓	35.2b	(+.f64 (-.f64 -1 (sqrt.f64 x)) 2)
▶	33.9b	(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
▶	32.9b	(*.f64 1/2 (-.f64 (-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
	33.9b	1
	56.1b	1/2

Compiler

Compiled 66 to 53 computations (19.7% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
✓	0.0b	(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
✓	4.0b	(-.f64 (-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
✓	4.0b	(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 91 to 66 computations (27.5% saved)

series8.0ms (0.1%)

Counts

4 → 7

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
1.0ms	x	@	-inf	(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
0.0ms	x	@	-inf	(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.0ms	x	@	inf	(-.f64 (-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))

rewrite119.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`rational.json-simplify-35`
1438×	`rational.json-1`
1438×	`rational.json-2`
1438×	`rational.json-3`
1386×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	152
1	108	116
2	265	100
3	652	96
4	1943	96
5	3833	96
6	5793	96

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(-.f64 (-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)

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

simplify203.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2112×	`rational.json-simplify-35`
1318×	`rational.json-simplify-52`
1238×	`rational.json-simplify-1`
1092×	`rational.json-simplify-2`
932×	`rational.json-simplify-44`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	401	8763
1	823	6535
2	1982	6287
3	4828	6279
4	6488	6263
5	7896	5959

Stop Event

1×	node limit

Counts

235 → 273

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 x))
0.0ms	x	@	-inf	(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
0.0ms	x	@	inf	(-.f64 1 (sqrt.f64 x))
0.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
0.0ms	x	@	0	(-.f64 1 (sqrt.f64 x))

rewrite237.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`rational.json-simplify-1`
1328×	`exponential.json-3`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	73	34
2	150	34
3	281	34
4	505	34
5	1115	34
6	2984	34
7	5270	34
8	6171	34
9	7287	34
10	7361	34
11	7454	34
12	7540	34

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify288.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1916×	`rational.json-simplify-1`
1844×	`rational.json-simplify-35`
1556×	`rational.json-simplify-2`
1304×	`rational.json-simplify-51`
756×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1086
1	280	1086
2	798	1086
3	1919	1086
4	3755	1086
5	4513	1086
6	4799	1086
7	5062	1086
8	5695	1086
9	6028	1086
10	6641	1086
11	7202	1086
12	7552	1086
13	7816	1086

Stop Event

1×	node limit

Counts

74 → 74

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (sqrt.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval122.0ms (1.4%)

Compiler: Compiled 7145 to 5258 computations (26.4% saved)

prune60.0ms (0.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	392	2	394
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	392	10	402

Error

31.9b

Counts

402 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	35.2b	(-.f64 1 (sqrt.f64 x))
✓	33.9b	(+.f64 (-.f64 -1 (sqrt.f64 x)) (+.f64 (*.f64 1/2 x) 2))
✓	35.2b	(+.f64 (-.f64 -1 (sqrt.f64 x)) 2)
✓	33.9b	(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
	33.9b	(+.f64 (*.f64 1/2 x) (+.f64 (-.f64 1 (+.f64 (sqrt.f64 x) -2)) -2))
✓	32.9b	(*.f64 1/2 (-.f64 (-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
	32.9b	(.f64 1/2 (-.f64 (+.f64 (+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (-.f64 -1 (sqrt.f64 x))) -1) (sqrt.f64 x)))
	33.9b	1
	56.1b	1/2

Compiler

Compiled 100 to 81 computations (19% saved)

regimes16.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(+.f64 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (-.f64 (.f64 (sqrt.f64 x) 1/2) -1)))

Calls

2 calls:

8.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
32.2b	1	`x`
32.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 221 to 162 computations (26.7% saved)

regimes13.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
32.9b	1	`x`
32.9b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 169 to 122 computations (27.8% saved)

regimes13.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Calls

2 calls:

6.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
32.9b	1	`x`
32.9b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 125 to 90 computations (28% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.9b	1	`x`

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes5.0ms (0.1%)

Accuracy

Total -24.1b remaining (-71%)

Threshold costs -24.1b (-71%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.9b	1	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	188

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 69 to 55 computations (20.3% saved)

soundness0.0ms (0%)

end41.0ms (0.5%)

Compiler: Compiled 64 to 47 computations (26.6% saved)

Details

analyze4.0ms (0%)

sample2.1s (23.5%)

preprocess4.0ms (0%)

simplify10.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite111.0ms (1.3%)

simplify625.0ms (7.2%)

eval12.0ms (0.1%)

prune9.0ms (0.1%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite125.0ms (1.4%)

simplify476.0ms (5.5%)

localize30.0ms (0.3%)

series5.0ms (0.1%)

rewrite131.0ms (1.5%)

simplify557.0ms (6.4%)

eval177.0ms (2%)

prune223.0ms (2.5%)

localize57.0ms (0.7%)

series5.0ms (0.1%)

rewrite113.0ms (1.3%)

simplify179.0ms (2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite128.0ms (1.5%)

simplify271.0ms (3.1%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite141.0ms (1.6%)

simplify352.0ms (4%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite119.0ms (1.4%)

simplify351.0ms (4%)

localize28.0ms (0.3%)

series4.0ms (0%)

rewrite127.0ms (1.4%)

simplify737.0ms (8.4%)

eval208.0ms (2.4%)

prune106.0ms (1.2%)

localize34.0ms (0.4%)

series8.0ms (0.1%)

rewrite119.0ms (1.4%)

simplify203.0ms (2.3%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite237.0ms (2.7%)

simplify288.0ms (3.3%)

localize4.0ms (0%)

eval122.0ms (1.4%)

prune60.0ms (0.7%)

regimes16.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end41.0ms (0.5%)

Profiling