Details

analyze20.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.8%	87.2%	0%	0%	0%	0
0%	0%	12.8%	87.2%	0%	0%	0%	1
0%	0%	12.8%	87.2%	0%	0%	0%	2
50%	6.4%	6.4%	87.2%	0%	0%	0%	3
57.1%	6.4%	4.8%	87.2%	0%	1.6%	0%	4
69.2%	7.2%	3.2%	87.2%	0%	2.4%	0%	5
75%	7.2%	2.4%	87.2%	0%	3.2%	0%	6
82.6%	7.6%	1.6%	87.2%	0%	3.6%	0%	7
86.4%	7.6%	1.2%	87.2%	0%	4%	0%	8
90.7%	7.8%	0.8%	87.2%	0%	4.2%	0%	9
92.6%	7.8%	0.6%	87.2%	0%	4.4%	0%	10
95%	7.9%	0.4%	87.2%	0%	4.5%	0%	11
96.3%	8%	0.3%	87.2%	0%	4.5%	0%	12

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.4s (12.7%)

Results

772.0ms	5886×	body	256	valid
327.0ms	1110×	body	1024	valid
236.0ms	1225×	body	512	valid
18.0ms	163×	body	256	invalid
13.0ms	35×	body	2048	valid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-22`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	15	46
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-22`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	10	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% 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

25.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	0.0b	(-.f64 (*.f64 x x) eps)
✓	5.7b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series7.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	x	@	inf	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	eps	@	inf	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	x	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms	eps	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) eps))

rewrite125.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`rational_best-2`
1534×	`rational_best-3`
1534×	`rational_best-1`
1372×	`rational_best-4`
1370×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	57	53
2	105	53
3	189	53
4	328	53
5	636	53
6	1153	53
7	2119	53
8	3943	53
9	5982	53

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))

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

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

simplify405.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational_best-simplify-43`
1208×	`rational_best-simplify-2`
1046×	`rational_best-simplify-1`
898×	`rational_best-simplify-49`
816×	`rational_best-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	719	17486
1	1570	16566
2	3301	15376
3	4140	14934
4	5519	14934
5	5844	14902
6	6209	14902
7	6662	14902
8	7494	14902

Stop Event

1×	node limit

Counts

282 → 541

Calls

Call 1

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

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

eval185.0ms (1.7%)

Compiler: Compiled 17198 to 7771 computations (54.8% saved)

prune102.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	532	9	541
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	532	10	542

Error

0.2b

Counts

542 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	59.9b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	25.8b	(-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)))
	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.2b	(-.f64 x x)
	45.2b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
▶	61.7b	(+.f64 x x)
▶	34.3b	(*.f64 1/2 (/.f64 eps x))
▶	26.0b	(.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x -3))))
▶	28.8b	(neg.f64 (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 210 to 148 computations (29.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps))
✓	0.0b	(+.f64 (.f64 x x) (.f64 eps -2))
✓	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)
✓	5.7b	(-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)))

Compiler

Compiled 49 to 24 computations (51% saved)

series5.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite237.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`rational_best-2`
1670×	`rational_best-3`
1670×	`rational_best-1`
1522×	`rational_best-4`
1522×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	108
1	78	108
2	126	90
3	189	84
4	271	84
5	432	84
6	697	84
7	1181	84
8	2152	84
9	3439	84
10	5873	84

Stop Event

1×	node limit

Counts

4 → 278

Calls

Call 1

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

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

simplify520.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2124×	`rational_best-simplify-1`
1092×	`rational_best-simplify-2`
938×	`rational_best-simplify-50`
812×	`rational_best-simplify-43`
794×	`rational_best-simplify-51`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	732	23454
1	1392	21952
2	2490	20830
3	2942	20762
4	3533	20482
5	4573	20466
6	5994	20226
7	6823	19726

Stop Event

1×	node limit

Counts

358 → 503

Calls

Call 1

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

Outputs
(.f64 -1 (sqrt.f64 (+.f64 (.f64 -2 eps) eps)))
(.f64 -1 (sqrt.f64 (+.f64 eps (.f64 -2 eps))))
(neg.f64 (sqrt.f64 (+.f64 eps (*.f64 -2 eps))))
(+.f64 (.f64 -1 (sqrt.f64 (+.f64 (.f64 -2 eps) eps))) x)
(+.f64 (.f64 -1 (sqrt.f64 (+.f64 eps (.f64 -2 eps)))) x)
(+.f64 (neg.f64 (sqrt.f64 (+.f64 eps (*.f64 -2 eps)))) x)
(+.f64 (.f64 -1 (sqrt.f64 (+.f64 (.f64 -2 eps) eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (*.f64 -2 eps)))) (pow.f64 x 2))) x))
(+.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (.f64 -1/2 (pow.f64 x 2))) (.f64 -1 (sqrt.f64 (+.f64 eps (*.f64 -2 eps))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 eps (.f64 -2 eps)))) (+.f64 x (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (/.f64 (pow.f64 x 4) (+.f64 (.f64 -2 eps) eps)))) (+.f64 (.f64 -1 (sqrt.f64 (+.f64 (.f64 -2 eps) eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (*.f64 -2 eps)))) (pow.f64 x 2))) x)))
(+.f64 (+.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (.f64 -1/2 (pow.f64 x 2))) (.f64 -1 (sqrt.f64 (+.f64 eps (.f64 -2 eps)))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (.f64 1/8 (/.f64 (pow.f64 x 4) (+.f64 eps (*.f64 -2 eps))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 eps (.f64 -2 eps)))) (+.f64 x (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 eps (.f64 -2 eps)))) (.f64 1/8 (/.f64 (pow.f64 x 4) (+.f64 eps (.f64 -2 eps))))))
(.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -2 eps) eps) 2) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (+.f64 (.f64 -2 eps) eps)) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -2 eps) eps) 2) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 3))) (.f64 -1/16 (.f64 (+.f64 eps (.f64 -2 eps)) (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 5))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 3))) (.f64 (+.f64 eps (.f64 -2 eps)) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 5))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 5)) (.f64 -1/16 (+.f64 eps (.f64 -2 eps))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 5)) (.f64 (+.f64 eps (.f64 -2 eps)) -1/16))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (+.f64 (.f64 -2 eps) eps)) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -2 eps) eps) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2)) 2) (.f64 1/16 (.f64 (+.f64 eps (.f64 -2 eps)) (pow.f64 (+.f64 (*.f64 -2 eps) eps) 3)))) (pow.f64 x 7))))))
(+.f64 (.f64 -1/16 (.f64 (+.f64 eps (.f64 -2 eps)) (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) -1/8) 2) (.f64 (+.f64 eps (.f64 -2 eps)) (.f64 1/16 (pow.f64 (+.f64 eps (.f64 -2 eps)) 3)))) (pow.f64 x 7))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (*.f64 -2 eps)) 2) (pow.f64 x 3))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 eps (.f64 -2 eps)) x)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 eps (.f64 -2 eps)) 2) -1/8) 2) (.f64 (+.f64 eps (.f64 -2 eps)) (.f64 1/16 (pow.f64 (+.f64 eps (.f64 -2 eps)) 3)))) (pow.f64 x 7)))) (.f64 (+.f64 eps (.f64 -2 eps)) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 eps (*.f64 -2 eps)) 2) (pow.f64 x 5))))))
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x
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x
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(+.f64 (.f64 x 6) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x (*.f64 x 3))))))
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(-.f64 (.f64 x 12) (+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x x)) (*.f64 x 9)))
(.f64 -1 (-.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 x -4) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 x -2)))) (+.f64 (.f64 x -2) (neg.f64 (+.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3)))))))
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(+.f64 (.f64 x 6) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x (*.f64 x 3))))))
(+.f64 (.f64 x 6) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 x)))
(-.f64 (.f64 x 12) (+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x x)) (*.f64 x 9)))
(.f64 -1 (-.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 x -4) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 x -2)))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 x -3)))))
(+.f64 (.f64 x 6) (neg.f64 (+.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (*.f64 x 3)))))
(+.f64 (.f64 x 6) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x (*.f64 x 3))))))
(+.f64 (.f64 x 6) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 x)))
(-.f64 (.f64 x 12) (+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x x)) (*.f64 x 9)))
(.f64 -1 (-.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 x -4) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 x -2)))) (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 x -2))))))
(+.f64 (.f64 x 6) (neg.f64 (+.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (*.f64 x 3)))))
(+.f64 (.f64 x 6) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x (*.f64 x 3))))))
(+.f64 (.f64 x 6) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 x)))
(-.f64 (.f64 x 12) (+.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 x x)) (*.f64 x 9)))
(.f64 -1 (-.f64 (+.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 x -2)) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(.f64 -1 (-.f64 (+.f64 (.f64 x -3) (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(.f64 -1 (-.f64 (+.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))))) (+.f64 (.f64 x -2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(.f64 -1 (-.f64 (+.f64 (.f64 x -2) (neg.f64 (+.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(.f64 -1 (-.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 x -3))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(.f64 -1 (-.f64 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 x -2)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) (.f64 x 3))) (.f64 -2 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(.f64 -1 (-.f64 (.f64 x -6) (+.f64 (.f64 x -3) (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (*.f64 x -2)))))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(/.f64 (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))) 1)
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) x) -1)
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(pow.f64 (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))) 1)
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) x))
(+.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(-.f64 (+.f64 (*.f64 x x) (neg.f64 eps)) 0)
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 0 (+.f64 eps (*.f64 x (neg.f64 x))))
(neg.f64 (+.f64 eps (*.f64 x (neg.f64 x))))
(.f64 (+.f64 (.f64 x x) (neg.f64 eps)) 1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(.f64 1 (+.f64 (.f64 x x) (neg.f64 eps)))
(+.f64 (*.f64 x x) (neg.f64 eps))
(.f64 -1 (+.f64 eps (.f64 x (neg.f64 x))))
(neg.f64 (+.f64 eps (*.f64 x (neg.f64 x))))
(.f64 (+.f64 eps (.f64 x (neg.f64 x))) -1)
(neg.f64 (+.f64 eps (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 (*.f64 x x) (neg.f64 eps)) 1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(/.f64 (+.f64 eps (*.f64 x (neg.f64 x))) -1)
(neg.f64 (+.f64 eps (*.f64 x (neg.f64 x))))
(pow.f64 (+.f64 (*.f64 x x) (neg.f64 eps)) 1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(neg.f64 (+.f64 eps (*.f64 x (neg.f64 x))))
(-.f64 (+.f64 (.f64 x x) (.f64 eps -2)) 0)
(+.f64 (.f64 -2 eps) (.f64 x x))
(.f64 (+.f64 (.f64 x x) (*.f64 eps -2)) 1)
(+.f64 (.f64 -2 eps) (.f64 x x))
(.f64 1 (+.f64 (.f64 x x) (*.f64 eps -2)))
(+.f64 (.f64 -2 eps) (.f64 x x))
(/.f64 (+.f64 (.f64 x x) (.f64 eps -2)) 1)
(+.f64 (.f64 -2 eps) (.f64 x x))
(pow.f64 (+.f64 (.f64 x x) (.f64 eps -2)) 1)
(+.f64 (.f64 -2 eps) (.f64 x x))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) 0)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) 2))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) 2) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) 0)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))) 1)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps))))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (neg.f64 eps)))) -1)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) 1)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))) -1)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps))) 1)
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 eps)))

localize3.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize5.0ms (0%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize5.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.8b	(+.f64 (.f64 x 4) (.f64 x -3))
✓	5.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (*.f64 x -3)))

Compiler

Compiled 64 to 31 computations (51.6% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (*.f64 x -3)))
0.0ms	eps	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (*.f64 x -3)))
0.0ms	x	@	0	(+.f64 (.f64 x 4) (.f64 x -3))
0.0ms	x	@	0	(-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (*.f64 x -3)))
0.0ms	eps	@	0	(-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (*.f64 x -3)))

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`rational_best-2`
1814×	`rational_best-3`
1814×	`rational_best-1`
1724×	`rational_best-4`
996×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	90	24
2	150	24
3	240	24
4	399	24
5	746	24
6	1420	24
7	2592	24
8	4189	24
9	6875	24

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (*.f64 x -3)))
(+.f64 (.f64 x 4) (.f64 x -3))

Outputs

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

simplify310.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational_best-simplify-49`
1120×	`rational_best-simplify-46`
946×	`rational_best-simplify-2`
842×	`rational_best-simplify-50`
832×	`rational_best-simplify-43`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	488	16352
1	961	14832
2	2038	13510
3	2513	13146
4	3356	13090
5	4423	12436
6	7049	12398

Stop Event

1×	node limit

Counts

196 → 502

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 -1 x) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -2 x) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -2 x) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(-.f64 x (+.f64 (.f64 -3 x) (.f64 4 x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 -3 x) (*.f64 4 x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) (+.f64 (.f64 -3 x) (.f64 4 x)))
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(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) 2) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) 2) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) 2))))
(+.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3)))) (-.f64 0 (+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 3))))))
(+.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3)))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 3))))))
(+.f64 (+.f64 (.f64 x 10) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 0 (+.f64 (.f64 x 10) (.f64 x 10))))
(+.f64 (+.f64 (.f64 x 10) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5)))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 1)
(.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1)
(.f64 -1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 1)
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)
(pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 1)
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(/.f64 x 1)
(/.f64 (neg.f64 x) -1)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))

Outputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(sqrt.f64 (*.f64 eps -1))
(sqrt.f64 (neg.f64 eps))
(+.f64 (.f64 -1 x) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (sqrt.f64 (*.f64 eps -1)) (neg.f64 x))
(+.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (sqrt.f64 (.f64 eps -1)) (+.f64 (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (neg.f64 x)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (neg.f64 x))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(+.f64 (+.f64 (sqrt.f64 (.f64 eps -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (+.f64 (neg.f64 x) (.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))))
(+.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (neg.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (neg.f64 x)))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 -1/2 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 x -2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -2 x) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 x -2) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (*.f64 x -2)))
(+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 x -2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -2 x) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 x -2))))
(+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 x -2) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16))))
(-.f64 x (+.f64 (.f64 -3 x) (.f64 4 x)))
(-.f64 x (+.f64 (.f64 x 4) (.f64 x -3)))
(-.f64 x x)
0
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 -3 x) (*.f64 4 x)))
(-.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) (+.f64 (.f64 x 4) (*.f64 x -3)))
(-.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) x)
(+.f64 0 (*.f64 -1/2 (/.f64 eps x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) (+.f64 (.f64 -3 x) (.f64 4 x)))
(-.f64 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (+.f64 (.f64 x 4) (.f64 x -3)))
(-.f64 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) x)
(+.f64 (+.f64 0 (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) 0)
(+.f64 0 (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) (+.f64 (.f64 -3 x) (*.f64 4 x)))
(-.f64 (+.f64 (+.f64 x (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 -1/2 (/.f64 eps x)))) (+.f64 (.f64 x 4) (*.f64 x -3)))
(-.f64 (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) x)
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 x (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 x 4) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -3)) (.f64 x -2)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 x 4) (-.f64 0 (neg.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -3)) (.f64 x -2)))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 x 4) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 3))))
(+.f64 (.f64 x 4) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 3))))
(+.f64 (.f64 x -3) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x -2)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 0)
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 2)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 2))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 2) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x -2))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (*.f64 x -5))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -3)) (+.f64 x x))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -3)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 x x) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (+.f64 x x) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (+.f64 x (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 2) (neg.f64 x)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 x -2) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) -2) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 2 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 x (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (.f64 -2 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (.f64 x -2)))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (neg.f64 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))))
(+.f64 (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3)) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2))
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(+.f64 (.f64 x -3) (-.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 3)) x))
(+.f64 (.f64 x -3) (+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (*.f64 x 3)))
(+.f64 (+.f64 (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2) (+.f64 (.f64 x -3) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (.f64 (+.f64 (.f64 x -3) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
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(+.f64 (.f64 x -3) (-.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 3)) x))
(+.f64 (.f64 x -3) (+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (*.f64 x 3)))
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(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 9))))))
(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) 2))))
(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (.f64 -2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)))))
(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) 2) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) 2) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) 2))))
(+.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (+.f64 (.f64 x 5) (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 4)) 4)))
(+.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 4 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)))))
(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (.f64 2 (-.f64 (+.f64 (.f64 x -5) (.f64 x -5)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (.f64 2 (+.f64 x (-.f64 (+.f64 (.f64 x -5) (.f64 x -5)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (.f64 2 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x 8) (neg.f64 x))))))
(+.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (.f64 2 (+.f64 x (-.f64 (.f64 2 (.f64 x -5)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(+.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3)))) (-.f64 0 (+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 3))))))
(+.f64 (+.f64 (+.f64 (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (neg.f64 (+.f64 (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(+.f64 (+.f64 x (+.f64 (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (.f64 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))) 4))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 7)) (+.f64 (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 4 (neg.f64 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(+.f64 (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 (+.f64 x (.f64 7 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))) -4)))
(+.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3)))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 3))) (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 4) (+.f64 x (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 3))))))
(+.f64 (+.f64 (+.f64 (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (+.f64 (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(+.f64 (+.f64 x (+.f64 (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (.f64 4 (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x (+.f64 (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 4 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 7)) (+.f64 (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (+.f64 x (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 7)) (+.f64 x (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 7))))))
(+.f64 (+.f64 (+.f64 x (.f64 7 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (+.f64 x (.f64 7 (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)))
(+.f64 (+.f64 (+.f64 x (.f64 7 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 2 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 2 (+.f64 x (.f64 7 (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(+.f64 (+.f64 (+.f64 x (.f64 3 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 2 (+.f64 x (.f64 5 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 2 (-.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (+.f64 x (.f64 7 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(+.f64 (+.f64 (.f64 x 10) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 0 (+.f64 (.f64 x 10) (.f64 x 10))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 (+.f64 (.f64 x 10) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5))) (-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 2) (+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5)))))
(+.f64 (+.f64 (.f64 x 5) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 10))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 5)))))
(+.f64 (.f64 x 10) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x 5))) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x 5))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x 5)))))))
(+.f64 (.f64 x 10) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 9))))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 15)) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)) 2)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 15)) (-.f64 (.f64 2 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 9)))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x 4)) (.f64 x 15)) (.f64 2 (-.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (*.f64 x 9)))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) 1)
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1)
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(.f64 -1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 1)
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) 1)
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x -2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(/.f64 x 1)
x
(/.f64 (neg.f64 x) -1)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x

eval492.0ms (4.5%)

Compiler: Compiled 48162 to 21516 computations (55.3% saved)

prune311.0ms (2.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1283	2	1285
Fresh	1	3	4
Picked	0	1	1
Done	0	5	5
Total	1284	11	1295

Error

0.2b

Counts

1295 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.9b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	25.8b	(-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)))
▶	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.2b	(-.f64 x x)
▶	45.2b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
✓	61.7b	(+.f64 x x)
✓	34.3b	(*.f64 1/2 (/.f64 eps x))
▶	60.0b	(.f64 -1 (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 x 4) (.f64 x -3))))
✓	26.0b	(.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x -3))))
✓	28.8b	(neg.f64 (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 198 to 141 computations (28.8% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`rational_best-2`
1700×	`rational_best-3`
1700×	`rational_best-1`
1386×	`rational_best-4`
1386×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	96	15
3	128	15
4	197	15
5	348	15
6	614	15
7	1096	15
8	2394	15
9	4057	15
10	5804	15
11	7656	15

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 x 3) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x x)) (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 3) (*.f64 (sqrt.f64 (neg.f64 eps)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 (*.f64 x 3) (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 2)) (*.f64 (sqrt.f64 (neg.f64 eps)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (+.f64 (+.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (+.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (sqrt.f64 (neg.f64 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (+.f64 (+.f64 x x) (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 2) (*.f64 (sqrt.f64 (neg.f64 eps)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 2) (+.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (sqrt.f64 (neg.f64 eps)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) -2) (+.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) -2) (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) -2) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) (+.f64 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 4) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 3) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) -2) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) -4) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (neg.f64 eps)) -3)) (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3))) (neg.f64 (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 2) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 7)) (*.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 8) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) -3) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) -3) (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (neg.f64 eps)) -2)) (+.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (*.f64 x -2)) (+.f64 (neg.f64 x) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x x))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x x)) (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 3)) -2) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x 5)) (*.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 4) (neg.f64 (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 3) (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 2) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 3))) (neg.f64 (+.f64 x (+.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) 4) (*.f64 (sqrt.f64 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simplify263.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2012×	`rational_best-simplify-1`
1368×	`rational_best-simplify-2`
1104×	`rational_best-simplify-43`
968×	`rational_best-simplify-47`
794×	`rational_best-simplify-51`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	290	5040
1	640	4152
2	1194	4050
3	2304	3968
4	2795	3916
5	3805	3916
6	3969	3916
7	4282	3916
8	4649	3916
9	5194	3916
10	5555	3916
11	6868	3916
12	7404	3898

Stop Event

1×	node limit

Counts

134 → 190

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(.f64 -1 (sqrt.f64 (.f64 -1 eps)))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
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(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
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(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
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(-.f64 x (sqrt.f64 (neg.f64 eps)))
x
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(+.f64 (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 x 3))) (+.f64 (.f64 x 3) x))
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(+.f64 (neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 x 3))) (.f64 x 4))
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(+.f64 (.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 4) (+.f64 (+.f64 (.f64 x 3) (.f64 (sqrt.f64 (neg.f64 eps)) 5)) (.f64 (+.f64 (.f64 x 3) (.f64 (sqrt.f64 (neg.f64 eps)) 5)) -2)))
(+.f64 (.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 4) (+.f64 (+.f64 (.f64 x 3) (.f64 (sqrt.f64 (neg.f64 eps)) 5)) (.f64 -2 (+.f64 (.f64 x 3) (.f64 (sqrt.f64 (neg.f64 eps)) 5)))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 (sqrt.f64 (neg.f64 eps)) 4) (.f64 (sqrt.f64 (neg.f64 eps)) 3))) (.f64 2 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 3)))) (neg.f64 (.f64 (+.f64 x (+.f64 (.f64 (sqrt.f64 (neg.f64 eps)) 4) (*.f64 (sqrt.f64 (neg.f64 eps)) 3))) 2)))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 3))) (+.f64 x (+.f64 (.f64 (sqrt.f64 (neg.f64 eps)) 3) (.f64 (sqrt.f64 (neg.f64 eps)) 4)))) (neg.f64 (.f64 2 (+.f64 x (+.f64 (.f64 (sqrt.f64 (neg.f64 eps)) 3) (*.f64 (sqrt.f64 (neg.f64 eps)) 4))))))
(+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 3))) (+.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 7)) (.f64 (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 7)) -2)))
(+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 3))) (+.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 7)) (.f64 -2 (+.f64 x (*.f64 (sqrt.f64 (neg.f64 eps)) 7)))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 7)) (.f64 2 (+.f64 (neg.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 7))) (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 3)))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 7)) (.f64 2 (+.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 3)) (neg.f64 (+.f64 x (.f64 (sqrt.f64 (neg.f64 eps)) 7))))))
(*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 -1 (-.f64 (sqrt.f64 (neg.f64 eps)) x))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) -1)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) -1)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(neg.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 eps))) x)
(-.f64 x (sqrt.f64 (neg.f64 eps)))

localize3.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	5.7b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

12 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-1`
1230×	`rational_best-4`
1230×	`rational_best-2`
1230×	`rational_best-3`
1208×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	58	44
2	97	38
3	160	36
4	295	32
5	679	32
6	2440	32
7	6047	32

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

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

simplify326.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2060×	`rational_best-simplify-2`
1152×	`rational_best-simplify-1`
970×	`rational_best-simplify-55`
804×	`rational_best-simplify-47`
694×	`rational_best-simplify-39`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	218	2918
1	382	2918
2	733	2918
3	1408	2886
4	2142	2864
5	4089	2864
6	5328	2864
7	6177	2860
8	6552	2860
9	6758	2860
10	7277	2860

Stop Event

1×	node limit

Counts

156 → 163

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
x
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
x
x
(+.f64 x (-.f64 (*.f64 (/.f64 eps x) 1/2) x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (/.f64 eps x))
(+.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) (-.f64 (/.f64 eps x) x))
(+.f64 (*.f64 (/.f64 eps x) 1/2) 0)
(+.f64 0 (*.f64 (/.f64 eps x) 1/2))
(+.f64 (+.f64 x x) (+.f64 (.f64 (/.f64 eps x) 1/2) (.f64 x -2)))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)) (+.f64 (/.f64 eps x) (.f64 x -2)))
(+.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x)
(+.f64 (neg.f64 x) (+.f64 x (*.f64 (/.f64 eps x) 1/2)))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (-.f64 (/.f64 eps x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 x x))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) (/.f64 eps x)))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (/.f64 eps x) (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(+.f64 (/.f64 eps x) (*.f64 -1/2 (/.f64 eps x)))
(+.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)))
(+.f64 (.f64 x -2) (-.f64 (+.f64 x x) (.f64 -1/2 (/.f64 eps x))))
(+.f64 (.f64 x -2) (+.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)) (/.f64 eps x)))
(+.f64 (.f64 2 (/.f64 eps x)) (.f64 (/.f64 eps x) -3/2))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 1/2) (.f64 x -2)) (+.f64 x x))
(+.f64 (.f64 x 4) (neg.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4))))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 x 4)) (-.f64 (/.f64 eps x) (*.f64 x 4)))
(+.f64 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x))) (+.f64 (neg.f64 x) (+.f64 (/.f64 eps x) (.f64 x -2))))
(+.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) (neg.f64 x))
(+.f64 (-.f64 (+.f64 x x) (.f64 -1/2 (/.f64 eps x))) (.f64 x -2))
(+.f64 (-.f64 (/.f64 eps x) x) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)) (/.f64 eps x)) (-.f64 (.f64 2 (/.f64 eps x)) (+.f64 x x)))
(+.f64 (.f64 x -4) (+.f64 (/.f64 eps x) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4))))
(+.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (neg.f64 x)) (+.f64 x (/.f64 eps x)))
(+.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (neg.f64 x)) (-.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 (neg.f64 (-.f64 (+.f64 x x) (*.f64 -1/2 (/.f64 eps x)))) (+.f64 (+.f64 x x) (/.f64 eps x)))
(+.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps (neg.f64 x)))
(+.f64 (-.f64 (/.f64 eps x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 x x))) (-.f64 (+.f64 x x) (/.f64 eps x)))
(+.f64 (neg.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 x 4))) (*.f64 x 4))
(+.f64 (-.f64 (.f64 x 4) (/.f64 eps x)) (-.f64 (/.f64 eps x) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4))))
(+.f64 (+.f64 x (.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) 3)) (.f64 2 (+.f64 (/.f64 eps x) (.f64 x -2))))
(+.f64 (+.f64 x (.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) 3)) (-.f64 (/.f64 eps x) (-.f64 (*.f64 x 4) (/.f64 eps x))))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
(+.f64 (+.f64 x (/.f64 eps x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (neg.f64 x)))
(+.f64 (+.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (-.f64 (+.f64 x x) (*.f64 -1/2 (/.f64 eps x)))))
(+.f64 (+.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)) (/.f64 eps x)) (.f64 x -2))
(+.f64 (+.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) (/.f64 eps x)) (-.f64 x (/.f64 eps x)))
(+.f64 (+.f64 (/.f64 eps x) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 x 4))) (*.f64 x -4))
(+.f64 (+.f64 (neg.f64 x) (+.f64 (/.f64 eps x) (.f64 x -2))) (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x))))
(+.f64 (-.f64 (/.f64 eps x) (.f64 x 4)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4)))
(+.f64 (.f64 2 (+.f64 (/.f64 eps x) (.f64 x -2))) (+.f64 x (.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) 3)))
(+.f64 (-.f64 (/.f64 eps x) (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) (-.f64 x (/.f64 eps x)))
(+.f64 (-.f64 x (/.f64 eps (neg.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (neg.f64 x)))
(+.f64 (-.f64 (.f64 2 (/.f64 eps x)) (+.f64 x x)) (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)) (/.f64 eps x)))
(+.f64 (-.f64 (/.f64 eps x) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 x 4))) (-.f64 (*.f64 x 4) (/.f64 eps x)))
(+.f64 (-.f64 (/.f64 eps x) (-.f64 (.f64 x 4) (/.f64 eps x))) (+.f64 x (.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) 3)))
(*.f64 -1/2 (/.f64 eps (neg.f64 x)))
(.f64 eps (.f64 (/.f64 1 x) 1/2))
(.f64 eps (+.f64 (/.f64 1 x) (.f64 -1/2 (/.f64 1 x))))
(.f64 (.f64 -1/2 (/.f64 eps x)) -1)
(.f64 (.f64 (/.f64 eps x) 1/2) 1)
(.f64 1 (.f64 (/.f64 eps x) 1/2))
(.f64 (/.f64 1 x) (.f64 eps 1/2))
(.f64 (/.f64 1 x) (+.f64 eps (.f64 -1/2 eps)))
(.f64 -1 (.f64 -1/2 (/.f64 eps x)))
(.f64 (.f64 -1/2 (/.f64 1 x)) (neg.f64 eps))
(.f64 (.f64 -1/2 (/.f64 1 x)) (.f64 1/2 (.f64 eps -2)))
(.f64 (.f64 -1/2 (/.f64 1 x)) (+.f64 eps (*.f64 eps -2)))
(.f64 2 (.f64 -1/2 (*.f64 -1/2 (/.f64 eps x))))
(.f64 2 (.f64 (*.f64 (/.f64 eps x) 1/2) 1/2))
(.f64 (neg.f64 eps) (.f64 -1/2 (/.f64 1 x)))
(.f64 (neg.f64 eps) (.f64 1/2 (/.f64 -1 x)))
(.f64 (neg.f64 eps) (+.f64 (/.f64 -1 x) (.f64 (/.f64 1 x) 1/2)))
(*.f64 (/.f64 eps (neg.f64 x)) -1/2)
(.f64 (.f64 -1/2 eps) (/.f64 -1 x))
(.f64 (.f64 -1/2 eps) (.f64 1/2 (.f64 (/.f64 1 x) -2)))
(.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) -2)))
(*.f64 (/.f64 eps x) 1/2)
(.f64 (.f64 2 (/.f64 eps x)) 1/4)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 -1 x) (.f64 -1/2 eps))
(.f64 (/.f64 -1 x) (.f64 -1 (*.f64 eps 1/2)))
(.f64 (/.f64 -1 x) (.f64 (neg.f64 eps) 1/2))
(.f64 (/.f64 -1 x) (+.f64 (neg.f64 eps) (.f64 eps 1/2)))
(.f64 (.f64 (/.f64 1 x) 1/2) eps)
(.f64 (.f64 (/.f64 1 x) 1/2) (+.f64 (neg.f64 eps) (+.f64 eps eps)))
(.f64 (+.f64 eps eps) (.f64 -1/2 (*.f64 -1/2 (/.f64 1 x))))
(.f64 (+.f64 eps eps) (.f64 1/2 (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 eps 1/2) (/.f64 1 x))
(.f64 (.f64 -1 (*.f64 eps 1/2)) (/.f64 -1 x))
(.f64 (.f64 1/2 (/.f64 -1 x)) (neg.f64 eps))
(.f64 (.f64 (neg.f64 eps) 1/2) (/.f64 -1 x))
(.f64 (.f64 -1/2 (*.f64 -1/2 (/.f64 eps x))) 2)
(.f64 1/4 (.f64 2 (/.f64 eps x)))
(.f64 (.f64 -1/2 (*.f64 -1/2 (/.f64 1 x))) (+.f64 eps eps))
(.f64 (.f64 1/2 (.f64 eps -2)) (.f64 -1/2 (/.f64 1 x)))
(.f64 (.f64 (*.f64 (/.f64 eps x) 1/2) 1/2) 2)
(.f64 (.f64 1/2 (.f64 (/.f64 1 x) -2)) (.f64 -1/2 eps))
(.f64 (.f64 1/2 (*.f64 (/.f64 1 x) 1/2)) (+.f64 eps eps))
(.f64 (+.f64 eps (.f64 -1/2 eps)) (/.f64 1 x))
(.f64 (+.f64 (neg.f64 eps) (+.f64 eps eps)) (.f64 (/.f64 1 x) 1/2))
(.f64 (+.f64 (/.f64 1 x) (.f64 -1/2 (/.f64 1 x))) eps)
(.f64 (+.f64 (/.f64 -1 x) (.f64 (/.f64 1 x) 1/2)) (neg.f64 eps))
(.f64 (+.f64 (neg.f64 eps) (.f64 eps 1/2)) (/.f64 -1 x))
(.f64 (+.f64 eps (.f64 eps -2)) (*.f64 -1/2 (/.f64 1 x)))
(.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) -2)) (*.f64 -1/2 eps))
(/.f64 (*.f64 -1/2 (/.f64 eps x)) -1)
(/.f64 (*.f64 (/.f64 eps x) 1/2) 1)
(/.f64 (*.f64 -1/2 eps) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 eps x) 1/2) 1)
(neg.f64 (*.f64 -1/2 (/.f64 eps x)))
(-.f64 x (*.f64 (/.f64 eps x) 1/2))
(-.f64 (*.f64 -1/2 (/.f64 eps x)) (neg.f64 x))
(-.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) 0)
(-.f64 0 (-.f64 (*.f64 (/.f64 eps x) 1/2) x))
(-.f64 (+.f64 x x) (+.f64 x (*.f64 (/.f64 eps x) 1/2)))
(-.f64 (/.f64 eps (neg.f64 x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (neg.f64 x)))
(-.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(-.f64 (.f64 x -2) (+.f64 (neg.f64 x) (+.f64 (.f64 (/.f64 eps x) 1/2) (*.f64 x -2))))
(-.f64 (.f64 x 4) (+.f64 (+.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))))
(.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) 1)
(.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x))))
(.f64 -1 (-.f64 (.f64 (/.f64 eps x) 1/2) x))
(.f64 -1 (+.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (/.f64 eps x) x)))
(.f64 -1 (+.f64 (.f64 x -2) (+.f64 x (*.f64 (/.f64 eps x) 1/2))))
(.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) x) -1)
(.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (/.f64 eps x) x)) -1)
(.f64 (+.f64 (.f64 x -2) (+.f64 x (*.f64 (/.f64 eps x) 1/2))) -1)
(/.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) 1)
(/.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) -1)
(pow.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) 1)
(neg.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x))

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

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
	0.8b	(+.f64 (.f64 x 4) (.f64 x -3))
✓	5.7b	(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 x 4) (*.f64 x -3)))

Compiler

Compiled 68 to 41 computations (39.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`rational_best-1`
1574×	`rational_best-4`
1574×	`rational_best-2`
1574×	`rational_best-3`
884×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	91	25
2	142	23
3	217	13
4	415	13
5	969	13
6	2831	13
7	6333	13

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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

simplify173.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational_best-simplify-46`
1336×	`rational_best-simplify-49`
1084×	`rational_best-simplify-55`
1076×	`rational_best-simplify-50`
1012×	`rational_best-simplify-2`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	208	5609
1	348	4301
2	570	4265
3	1011	3605
4	1449	3593
5	2094	2297
6	3288	2273
7	6750	2249

Stop Event

1×	node limit

Counts

125 → 135

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
✓	16.8b	(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
✓	27.2b	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
✓	34.6b	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))

Compiler

Compiled 106 to 76 computations (28.3% saved)

series10.0ms (0.1%)

Counts

4 → 30

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
1.0ms	eps	@	0	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
1.0ms	x	@	0	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
1.0ms	eps	@	0	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
1.0ms	eps	@	inf	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best-1`
1226×	`rational_best-4`
1226×	`rational_best-2`
1226×	`rational_best-3`
1226×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	166
1	141	166
2	208	166
3	269	166
4	394	166
5	696	166
6	1639	166
7	5697	166

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

Inputs
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))

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

simplify189.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational_best-simplify-2`
1020×	`rational_best-simplify-52`
874×	`rational_best-simplify-53`
866×	`rational_best-simplify-39`
860×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	3556
1	242	3556
2	385	3556
3	926	3556
4	2702	3556
5	4695	3556
6	6722	3556
7	7507	3556

Stop Event

1×	node limit

Counts

118 → 101

Calls

Call 1

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

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

eval367.0ms (3.4%)

Compiler: Compiled 12074 to 6918 computations (42.7% saved)

prune129.0ms (1.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	611	18	629
Fresh	0	0	0
Picked	0	1	1
Done	2	8	10
Total	613	27	640

Error

0.2b

Counts

640 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.9b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
	60.6b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
▶	60.6b	(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
✓	25.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	25.8b	(-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)))
✓	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.2b	(-.f64 x x)
	34.6b	(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
	59.9b	(+.f64 (-.f64 (/.f64 eps x) (.f64 x 4)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4)))
	59.8b	(+.f64 (-.f64 (/.f64 eps x) x) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
	59.9b	(+.f64 (-.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x x)) (/.f64 eps x)) (-.f64 (.f64 (/.f64 eps x) 2) (+.f64 x x)))
▶	59.9b	(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
▶	59.9b	(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
	59.9b	(+.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)))
	34.6b	(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
✓	45.2b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
▶	34.4b	(.f64 (/.f64 1 x) (.f64 eps 1/2))
✓	34.3b	(*.f64 1/2 (/.f64 eps x))
✓	26.0b	(.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x -3))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (-.f64 x (.f64 eps (/.f64 1/2 x))) (/.f64 eps x))))
▶	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
	59.8b	(.f64 -1 (+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (-.f64 x (/.f64 eps x))))
	59.9b	(.f64 -1 (+.f64 (.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) 2) (neg.f64 (+.f64 x (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x))))))
	59.9b	(.f64 -1 (+.f64 (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x)) (+.f64 x (+.f64 (/.f64 eps x) (.f64 x -4)))))
	34.6b	(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
✓	28.8b	(neg.f64 (sqrt.f64 (neg.f64 eps)))
	61.7b	x

Compiler

Compiled 692 to 446 computations (35.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 x) (.f64 eps 1/2))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series10.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	-inf	(.f64 (/.f64 1 x) (.f64 eps 1/2))
0.0ms	eps	@	inf	(.f64 (/.f64 1 x) (.f64 eps 1/2))
0.0ms	x	@	0	(.f64 (/.f64 1 x) (.f64 eps 1/2))
0.0ms	eps	@	0	(.f64 (/.f64 1 x) (.f64 eps 1/2))
0.0ms	x	@	inf	(.f64 (/.f64 1 x) (.f64 eps 1/2))

rewrite104.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational_best-simplify-47`
1124×	`rational_best-1`
1116×	`rational_best-2`
1112×	`rational_best-4`
1112×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	59	19
2	89	13
3	106	13
4	124	13
5	169	13
6	341	13
7	886	13
8	3502	13
9	7140	13

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify224.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational_best-simplify-41`
1130×	`rational_best-simplify-1`
1122×	`rational_best-simplify-49`
1104×	`rational_best-simplify-46`
1002×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	1173
1	205	1173
2	348	1173
3	589	1173
4	1510	1161
5	4092	1161
6	6042	1161
7	6860	1161
8	7038	1161
9	7277	1161

Stop Event

1×	node limit

Counts

81 → 60

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 eps (/.f64 1/2 x)) 0)
(+.f64 0 (*.f64 eps (/.f64 1/2 x)))
(+.f64 (/.f64 eps x) (/.f64 (*.f64 eps -1/2) x))
(+.f64 -1 (+.f64 1 (*.f64 eps (/.f64 1/2 x))))
(+.f64 (/.f64 (*.f64 eps -1/2) x) (/.f64 eps x))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) -3/2))
(+.f64 (.f64 (/.f64 eps x) -2) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 eps (/.f64 2 x)))
(+.f64 (.f64 (/.f64 eps x) 3) (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)))
(+.f64 (.f64 (/.f64 eps x) 3) (-.f64 (.f64 (/.f64 eps x) 3/2) (*.f64 (/.f64 eps x) 4)))
(+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 4)))
(+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (/.f64 (.f64 eps -1/2) x) (*.f64 (/.f64 eps x) 3)))
(+.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 eps (neg.f64 x))) (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)))
(+.f64 (+.f64 1 (.f64 eps (/.f64 2 x))) (+.f64 -1 (.f64 (/.f64 eps x) -3/2)))
(+.f64 (+.f64 1 (/.f64 (*.f64 eps -1/2) x)) (+.f64 (/.f64 eps x) -1))
(+.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 (/.f64 eps x) -2))
(+.f64 (+.f64 1 (/.f64 eps x)) (+.f64 -1 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(+.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 3 (/.f64 eps (neg.f64 x))))
(+.f64 (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)) (.f64 (/.f64 eps x) 3))
(+.f64 (.f64 4 (/.f64 eps (neg.f64 x))) (+.f64 (.f64 (/.f64 eps x) 3) (*.f64 (/.f64 eps x) 3/2)))
(+.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (+.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 3)))
(+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 4))
(+.f64 (+.f64 (/.f64 eps x) -1) (+.f64 1 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (+.f64 -1 (/.f64 (*.f64 eps -1/2) x)) (+.f64 1 (/.f64 eps x)))
(+.f64 (+.f64 -1 (.f64 (/.f64 eps x) -3/2)) (+.f64 1 (.f64 eps (/.f64 2 x))))
(+.f64 (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)) (+.f64 1 (/.f64 eps (neg.f64 x))))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (/.f64 eps x) 3/2)) (*.f64 4 (/.f64 eps (neg.f64 x))))
(+.f64 (-.f64 (.f64 (/.f64 eps x) 3/2) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 3))
(+.f64 (-.f64 (/.f64 (.f64 eps -1/2) x) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 4))
(-.f64 (*.f64 eps (/.f64 1/2 x)) 0)
(-.f64 0 (/.f64 (*.f64 eps -1/2) x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(-.f64 (/.f64 (*.f64 eps -1/2) x) (/.f64 eps (neg.f64 x)))
(-.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) -3/2))
(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
(-.f64 (.f64 (/.f64 eps x) -2) (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (.f64 (/.f64 eps x) -3/2) (.f64 (/.f64 eps x) -2))
(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (.f64 (/.f64 eps x) 4) (+.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 3)))
(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
(-.f64 (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)) (.f64 3 (/.f64 eps (neg.f64 x))))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (-.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 4)))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (+.f64 (.f64 (/.f64 eps x) -2) (*.f64 (/.f64 eps x) -3/2)))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (-.f64 (.f64 4 (/.f64 eps (neg.f64 x))) (/.f64 (*.f64 eps -1/2) x)))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (-.f64 (.f64 (/.f64 eps x) -2) (*.f64 (/.f64 eps x) 3/2)))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) x) -1)
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(neg.f64 (/.f64 (*.f64 eps -1/2) x))

Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 eps (/.f64 1/2 x)) 0)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 0 (*.f64 eps (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (/.f64 eps x) (/.f64 (*.f64 eps -1/2) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 -1 (+.f64 1 (*.f64 eps (/.f64 1/2 x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (/.f64 (*.f64 eps -1/2) x) (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) -3/2))
(+.f64 (.f64 (/.f64 eps x) -2) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 eps (/.f64 2 x)))
(+.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) -3/2))
(+.f64 (.f64 (/.f64 eps x) 3) (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 (/.f64 eps x) 3) (-.f64 (.f64 (/.f64 eps x) 3/2) (*.f64 (/.f64 eps x) 4)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 4)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (/.f64 (.f64 eps -1/2) x) (*.f64 (/.f64 eps x) 3)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps (neg.f64 x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 1 (/.f64 eps (neg.f64 x))) (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 1 (.f64 eps (/.f64 2 x))) (+.f64 -1 (.f64 (/.f64 eps x) -3/2)))
(+.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) -3/2))
(+.f64 (+.f64 1 (/.f64 (*.f64 eps -1/2) x)) (+.f64 (/.f64 eps x) -1))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 (/.f64 eps x) -2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 1 (/.f64 eps x)) (+.f64 -1 (/.f64 (*.f64 eps -1/2) x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 3 (/.f64 eps (neg.f64 x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)) (.f64 (/.f64 eps x) 3))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 4 (/.f64 eps (neg.f64 x))) (+.f64 (.f64 (/.f64 eps x) 3) (*.f64 (/.f64 eps x) 3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (+.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 3)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 4))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 (/.f64 eps x) -1) (+.f64 1 (/.f64 (*.f64 eps -1/2) x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 -1 (/.f64 (*.f64 eps -1/2) x)) (+.f64 1 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 -1 (.f64 (/.f64 eps x) -3/2)) (+.f64 1 (.f64 eps (/.f64 2 x))))
(+.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) -3/2))
(+.f64 (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)) (+.f64 1 (/.f64 eps (neg.f64 x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (/.f64 eps x) 3/2)) (*.f64 4 (/.f64 eps (neg.f64 x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (-.f64 (.f64 (/.f64 eps x) 3/2) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 3))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 (.f64 eps -1/2) x) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 4))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (*.f64 eps (/.f64 1/2 x)) 0)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 0 (/.f64 (*.f64 eps -1/2) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (/.f64 (*.f64 eps -1/2) x) (/.f64 eps (neg.f64 x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) -3/2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
(-.f64 (.f64 (/.f64 eps x) -2) (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 (/.f64 eps x) -3/2) (.f64 (/.f64 eps x) -2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 (/.f64 eps x) 4) (+.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 3)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(-.f64 (.f64 (/.f64 eps x) 5/2) (.f64 eps (/.f64 2 x)))
(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (+.f64 (/.f64 eps (neg.f64 x)) (.f64 (/.f64 eps x) -3/2)) (.f64 3 (/.f64 eps (neg.f64 x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (-.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 eps x) 4)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (+.f64 (.f64 (/.f64 eps x) -2) (*.f64 (/.f64 eps x) -3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (-.f64 (.f64 4 (/.f64 eps (neg.f64 x))) (/.f64 (*.f64 eps -1/2) x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (.f64 3 (/.f64 eps (neg.f64 x))) (-.f64 (.f64 (/.f64 eps x) -2) (*.f64 (/.f64 eps x) 3/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 eps -1/2) x) -1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (/.f64 (*.f64 eps -1/2) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite300.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`rational_best-simplify-49`
1082×	`rational_best-simplify-46`
1034×	`rational_best-4`
1034×	`rational_best-2`
1034×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	51	32
2	84	32
3	126	32
4	208	32
5	399	32
6	734	32
7	1415	32
8	2768	32
9	4313	32

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

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

simplify369.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1872×	`rational_best-simplify-1`
1058×	`rational_best-simplify-2`
1048×	`rational_best-simplify-46`
1028×	`rational_best-simplify-49`
902×	`rational_best-simplify-53`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	307	8109
1	662	7781
2	1494	7507
3	1793	7369
4	2255	7027
5	3071	6809
6	4556	6705
7	5719	6669
8	7497	6645
9	7957	6645

Stop Event

1×	node limit

Counts

163 → 309

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
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x
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(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
x
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x
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(.f64 -1 (-.f64 (.f64 eps (/.f64 -1/2 x)) x))
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(pow.f64 (+.f64 x (*.f64 eps (/.f64 1/2 x))) 1)
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Outputs
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
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(*.f64 (/.f64 eps x) -1/2)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
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(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
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(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) (.f64 x 10)) (neg.f64 (+.f64 (+.f64 x x) (+.f64 (.f64 x 4) (+.f64 (.f64 x 4) (neg.f64 (/.f64 eps x)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) (.f64 x 10)) (neg.f64 (+.f64 (+.f64 x x) (+.f64 (.f64 x 4) (+.f64 (/.f64 eps (neg.f64 x)) (.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 4)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3)))) (-.f64 0 (+.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3))) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (*.f64 x 3))))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3))) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3)))) (neg.f64 (+.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 eps (/.f64 -1/2 x)) (*.f64 x 3)))))))
(+.f64 (+.f64 (.f64 x 3) (.f64 (/.f64 -1/2 x) (+.f64 eps eps))) (+.f64 (+.f64 x (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3))) (neg.f64 (+.f64 (+.f64 (.f64 x 3) (.f64 (/.f64 -1/2 x) (+.f64 eps eps))) (+.f64 (.f64 x 3) (.f64 (/.f64 -1/2 x) (+.f64 eps eps)))))))
(+.f64 (+.f64 (.f64 x 3) (.f64 (/.f64 eps x) -1)) (+.f64 (+.f64 x (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3))) (neg.f64 (+.f64 (+.f64 (.f64 x 3) (.f64 (/.f64 eps x) -1)) (+.f64 (.f64 x 3) (.f64 (/.f64 eps x) -1))))))
(+.f64 (+.f64 (.f64 x 3) (neg.f64 (/.f64 eps x))) (+.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 4)) (neg.f64 (+.f64 (+.f64 (.f64 x 3) (neg.f64 (/.f64 eps x))) (+.f64 (*.f64 x 3) (neg.f64 (/.f64 eps x)))))))
(+.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (/.f64 eps x)) (.f64 x 3)) (+.f64 (neg.f64 (/.f64 eps x)) (.f64 x 3)))) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 x 4) (+.f64 (neg.f64 (/.f64 eps x)) (*.f64 x 3)))))
(+.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 4)) (+.f64 (+.f64 (/.f64 eps (neg.f64 x)) (.f64 x 3)) (neg.f64 (+.f64 (+.f64 (/.f64 eps (neg.f64 x)) (.f64 x 3)) (+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 3))))))
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(+.f64 (.f64 x 7) (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 x -3)) 2)))
(+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 (.f64 x 7) (.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (*.f64 x -3)) 2)))
(+.f64 (+.f64 (.f64 x 6) (+.f64 (.f64 x 3) (+.f64 x (+.f64 x (.f64 eps (/.f64 -1/2 x)))))) (-.f64 0 (+.f64 (+.f64 (.f64 x 3) (+.f64 x (+.f64 x (.f64 eps (/.f64 -1/2 x))))) (+.f64 (.f64 x 3) (+.f64 x (+.f64 x (*.f64 eps (/.f64 -1/2 x))))))))
(+.f64 (+.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3)) (+.f64 (+.f64 x x) (.f64 x 6))) (neg.f64 (+.f64 (+.f64 (+.f64 x x) (+.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x 3))) (+.f64 (+.f64 x x) (+.f64 (.f64 eps (/.f64 -1/2 x)) (*.f64 x 3))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (.f64 eps (/.f64 -1/2 x)))) (.f64 x 9)) (neg.f64 (+.f64 (+.f64 x (.f64 x 3)) (+.f64 (+.f64 x x) (+.f64 x (+.f64 (.f64 x 3) (*.f64 (/.f64 -1/2 x) (+.f64 eps eps))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (.f64 eps (/.f64 -1/2 x)))) (.f64 x 9)) (neg.f64 (+.f64 (+.f64 x (+.f64 x (.f64 eps (/.f64 -1/2 x)))) (+.f64 (+.f64 x x) (+.f64 (.f64 eps (/.f64 -1/2 x)) (*.f64 x 6))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (.f64 eps (/.f64 -1/2 x)))) (.f64 x 9)) (neg.f64 (+.f64 (+.f64 x (.f64 x 3)) (+.f64 (+.f64 x x) (+.f64 x (+.f64 (.f64 x 3) (*.f64 (/.f64 eps x) -1)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) (.f64 x 10)) (neg.f64 (+.f64 (+.f64 x x) (+.f64 (.f64 x 4) (+.f64 (.f64 x 4) (neg.f64 (/.f64 eps x)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) (.f64 x 10)) (neg.f64 (+.f64 (+.f64 x x) (+.f64 (.f64 x 4) (+.f64 (/.f64 eps (neg.f64 x)) (.f64 x 4))))))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))))) (-.f64 0 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (*.f64 eps 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 4)))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 4 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))
(+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) -4)))
(+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))))) (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) -4)))
(+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) -3)) (+.f64 x (+.f64 x (neg.f64 (/.f64 eps x)))))) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 1/2 x) -3))) -2))
(+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) -2))
(+.f64 (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) -2))
(+.f64 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (.f64 (/.f64 eps (neg.f64 x)) 4)) (-.f64 0 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
(+.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (/.f64 eps (neg.f64 x)) 4)) (neg.f64 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
(+.f64 (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (.f64 eps (/.f64 -2 x)))) (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (neg.f64 (*.f64 (/.f64 eps (neg.f64 x)) 8))))
(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) -8)))
(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps x) 8)))
(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (*.f64 (neg.f64 (/.f64 eps x)) -4))
(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (*.f64 (/.f64 eps (neg.f64 x)) -4))
(+.f64 (+.f64 x (.f64 eps (+.f64 (.f64 (/.f64 -1/2 x) 3) (/.f64 -2 x)))) (*.f64 (/.f64 eps (neg.f64 x)) -4))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))))))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))))))))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) -3)) (+.f64 x (+.f64 x (neg.f64 (/.f64 eps x)))))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (neg.f64 (/.f64 eps x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) -3)) (+.f64 x (+.f64 x (neg.f64 (/.f64 eps x)))))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
(.f64 (+.f64 x (.f64 eps (/.f64 1/2 x))) 1)
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(.f64 1 (+.f64 x (.f64 eps (/.f64 1/2 x))))
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(.f64 (-.f64 (.f64 eps (/.f64 -1/2 x)) x) -1)
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(.f64 -1 (-.f64 (.f64 eps (/.f64 -1/2 x)) x))
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(/.f64 (+.f64 x (*.f64 eps (/.f64 1/2 x))) 1)
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(/.f64 (+.f64 x (*.f64 eps (/.f64 1/2 x))) (/.f64 x x))
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 eps (/.f64 -1/2 x)) x) -1)
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(/.f64 (-.f64 (.f64 eps (/.f64 -1/2 x)) x) (.f64 -1 (/.f64 x x)))
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(pow.f64 (+.f64 x (*.f64 eps (/.f64 1/2 x))) 1)
(+.f64 x (*.f64 eps (/.f64 1/2 x)))
(neg.f64 (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(+.f64 x (*.f64 eps (/.f64 1/2 x)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 eps (/.f64 3/2 x)) x)
✓	0.0b	(-.f64 x (/.f64 eps x))
✓	0.2b	(*.f64 eps (/.f64 3/2 x))
✓	6.2b	(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))

Compiler

Compiled 41 to 19 computations (53.7% saved)

series4.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`rational_best-1`
1520×	`rational_best-4`
1520×	`rational_best-2`
1520×	`rational_best-3`
1086×	`rational_best-simplify-46`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	70	82
2	119	82
3	209	82
4	418	82
5	1082	82
6	3524	70
7	6588	70

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

Inputs
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(*.f64 eps (/.f64 3/2 x))
(-.f64 x (/.f64 eps x))
(-.f64 (*.f64 eps (/.f64 3/2 x)) x)

Outputs
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simplify282.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1792×	`rational_best-simplify-1`
1334×	`rational_best-simplify-2`
1220×	`rational_best-simplify-47`
870×	`rational_best-simplify-55`
746×	`rational_best-simplify-43`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	331	6012
1	574	5834
2	846	5438
3	1294	5034
4	2317	4986
5	4104	4958
6	6180	4950
7	6617	4950
8	6892	4950
9	6962	4950
10	7067	4942

Stop Event

1×	node limit

Counts

252 → 226

Calls

Call 1

Inputs
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x
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(*.f64 (-.f64 x (/.f64 eps x)) 1)
(*.f64 1 (-.f64 x (/.f64 eps x)))
(*.f64 (-.f64 (/.f64 eps x) x) -1)
(*.f64 -1 (-.f64 (/.f64 eps x) x))
(/.f64 (-.f64 x (/.f64 eps x)) 1)
(/.f64 (-.f64 (/.f64 eps x) x) -1)
(pow.f64 (-.f64 x (/.f64 eps x)) 1)
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(.f64 (-.f64 (.f64 eps (/.f64 3/2 x)) x) 1)
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(/.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x) 1)
(/.f64 (+.f64 x (*.f64 eps (/.f64 -3/2 x))) -1)
(pow.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x) 1)
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Outputs
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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(.f64 -1 (/.f64 (-.f64 (.f64 -3/2 eps) (*.f64 -1 eps)) x))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
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(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
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x
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x
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x
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(/.f64 (neg.f64 eps) x)
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(*.f64 -1 x)
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(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(*.f64 3/2 (/.f64 eps x))
(*.f64 eps (/.f64 3/2 x))
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(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
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(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
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(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(*.f64 3/2 (/.f64 eps x))
(*.f64 eps (/.f64 3/2 x))
(+.f64 (.f64 -1 x) (.f64 3/2 (/.f64 eps x)))
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(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x) 0)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 0 (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (+.f64 x x) (-.f64 (+.f64 x (.f64 eps (/.f64 3/2 x))) (.f64 x 4)))
(+.f64 x (+.f64 x (-.f64 (+.f64 x (.f64 3/2 (/.f64 eps x))) (.f64 x 4))))
(+.f64 (+.f64 x x) (-.f64 (-.f64 x (.f64 eps (/.f64 -3/2 x))) (.f64 x 4)))
(+.f64 (+.f64 x (.f64 eps (/.f64 3/2 x))) (.f64 x -2))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (.f64 x -2) (+.f64 x (.f64 eps (/.f64 3/2 x))))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (+.f64 (neg.f64 x) (.f64 eps (/.f64 -3/2 x))) (.f64 (/.f64 eps x) 3))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (.f64 x 4) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3)) (.f64 x 8)))
(+.f64 (.f64 x 4) (-.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3)) (.f64 x 8)))
(+.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3)) (*.f64 x -4))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 3/2 x) 3)))))
(+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2))))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 2 (+.f64 (neg.f64 x) (.f64 eps (/.f64 -3/2 x)))))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2))
(+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 3/2 x) 3)) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (+.f64 (*.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 (*.f64 eps (/.f64 -3/2 x)) x) 2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 x (*.f64 eps (/.f64 -3/2 x))) -2)))
(+.f64 (.f64 x -4) (+.f64 (.f64 eps (/.f64 3/2 x)) (*.f64 x 3)))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (.f64 x -4) (-.f64 0 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (*.f64 x 3)))))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (-.f64 0 (.f64 2 (+.f64 (neg.f64 x) (.f64 eps (/.f64 -3/2 x))))))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (neg.f64 (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) -2))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 -2 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x))))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 (+.f64 x (.f64 3/2 (/.f64 eps x))) 2))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 (-.f64 x (.f64 eps (/.f64 -3/2 x))) 2))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (-.f64 0 (.f64 (+.f64 x (.f64 eps (/.f64 3/2 x))) -2)))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (neg.f64 (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) -2))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 -2 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x))))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 (+.f64 x (.f64 3/2 (/.f64 eps x))) 2))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 (-.f64 x (.f64 eps (/.f64 -3/2 x))) 2))
(+.f64 (neg.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (*.f64 (/.f64 eps x) 6))
(+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 3/2 x) 3)))))
(+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 3/2 x))) 2) (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (neg.f64 (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) -2))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 -2 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x))))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 (+.f64 x (.f64 3/2 (/.f64 eps x))) 2))
(+.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 eps x)) (.f64 x 3))) (.f64 (-.f64 x (.f64 eps (/.f64 -3/2 x))) 2))
(+.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x -2)) x)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (.f64 (/.f64 eps x) 3) (+.f64 (neg.f64 x) (.f64 eps (/.f64 -3/2 x))))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (.f64 2 (+.f64 (neg.f64 x) (.f64 eps (/.f64 -3/2 x)))) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2))
(+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 3/2 x) 3)) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (+.f64 (*.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 (*.f64 eps (/.f64 -3/2 x)) x) 2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 x (*.f64 eps (/.f64 -3/2 x))) -2)))
(+.f64 (+.f64 (.f64 x 4) (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (-.f64 0 (.f64 x 8)))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (-.f64 0 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) 2)))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))))))
(+.f64 (.f64 (/.f64 eps x) 6) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
(+.f64 (.f64 (/.f64 eps x) 6) (+.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2)) (.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2)) -2)))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) 21/2) (.f64 -2 (+.f64 x (*.f64 (/.f64 eps x) 9/2)))))
(+.f64 x (+.f64 (.f64 -2 (+.f64 x (.f64 (/.f64 eps x) 9/2))) (*.f64 (/.f64 eps x) 21/2)))
(.f64 (-.f64 (.f64 eps (/.f64 3/2 x)) x) 1)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(.f64 1 (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(.f64 (+.f64 x (.f64 eps (/.f64 -3/2 x))) -1)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(.f64 -1 (+.f64 x (.f64 eps (/.f64 -3/2 x))))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(/.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x) 1)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(/.f64 (+.f64 x (*.f64 eps (/.f64 -3/2 x))) -1)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(pow.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x) 1)
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)
(neg.f64 (+.f64 x (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (*.f64 3/2 (/.f64 eps x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps (/.f64 3/2 x)))
(-.f64 (*.f64 3/2 (/.f64 eps x)) x)

localize82.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (-.f64 eps (*.f64 -1/2 eps)) x))
✓	0.0b	(-.f64 (/.f64 eps x) x)
✓	0.3b	(/.f64 (-.f64 eps (*.f64 -1/2 eps)) x)
✓	6.2b	(+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (/.f64 (-.f64 eps (*.f64 -1/2 eps)) x)))

Compiler

Compiled 70 to 34 computations (51.4% saved)

series4.0ms (0%)

Counts

4 → 84

Calls

24 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational_best-1`
1518×	`rational_best-2`
1518×	`rational_best-3`
894×	`rational_best-simplify-51`
852×	`rational_best-simplify-39`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	78	100
2	151	82
3	331	82
4	914	82
5	2985	74
6	7079	74

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify356.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2124×	`rational_best-simplify-41`
2082×	`rational_best-simplify-2`
1022×	`rational_best-simplify-1`
952×	`rational_best-simplify-55`
952×	`rational_best-simplify-44`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	374	5872
1	653	5698
2	1080	5690
3	1824	5668
4	3880	5008
5	5054	5008
6	5594	5002
7	5945	5002
8	6241	5002
9	6532	5002
10	7837	5002

Stop Event

1×	node limit

Counts

268 → 255

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 eps) (.f64 -1 (-.f64 eps (.f64 -1/2 eps)))) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 eps) (.f64 -1 (-.f64 eps (.f64 -1/2 eps)))) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 eps) (.f64 -1 (-.f64 eps (.f64 -1/2 eps)))) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 eps) (.f64 -1 (-.f64 eps (.f64 -1/2 eps)))) x))
(*.f64 3/2 (/.f64 eps x))
(*.f64 3/2 (/.f64 eps x))
(*.f64 3/2 (/.f64 eps x))
(*.f64 3/2 (/.f64 eps x))
(*.f64 3/2 (/.f64 eps x))
(*.f64 3/2 (/.f64 eps x))
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x
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x
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(*.f64 eps (/.f64 3/2 x))
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(*.f64 eps (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 x)) (/.f64 1 x)))
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(*.f64 (/.f64 eps x) 3/2)
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(+.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 x (/.f64 eps x)))
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(+.f64 (+.f64 x x) (+.f64 (neg.f64 x) (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (+.f64 x x) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (+.f64 x (/.f64 eps x))))
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(+.f64 (+.f64 x (/.f64 eps x)) (*.f64 (/.f64 eps x) -5/2))
(+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (neg.f64 (.f64 (-.f64 (/.f64 eps x) x) 2)))
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(+.f64 (*.f64 (/.f64 eps x) -5/2) (+.f64 x (/.f64 eps x)))
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(+.f64 (.f64 (/.f64 eps x) -2) (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (/.f64 eps x))))
(+.f64 (.f64 (/.f64 eps x) -2) (+.f64 x (.f64 eps (/.f64 1/2 x))))
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(+.f64 (-.f64 (+.f64 x (/.f64 eps x)) (.f64 (/.f64 eps x) 4)) (.f64 eps (/.f64 3/2 x)))
(.f64 (+.f64 x (.f64 eps (/.f64 -3/2 x))) 1)
(.f64 1 (+.f64 x (.f64 eps (/.f64 -3/2 x))))
(.f64 (-.f64 (.f64 eps (/.f64 3/2 x)) x) -1)
(.f64 -1 (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(/.f64 (+.f64 x (*.f64 eps (/.f64 -3/2 x))) 1)
(/.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x) -1)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 eps x) (+.f64 x (/.f64 eps x))) -1) (*.f64 eps (/.f64 3/2 x))) 1)
(/.f64 (-.f64 (-.f64 x (/.f64 (+.f64 eps eps) x)) (*.f64 eps (/.f64 -1/2 x))) 1)
(/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 eps) x) (-.f64 (/.f64 eps x) x)) (*.f64 eps (/.f64 -1/2 x))) 1)
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(/.f64 (-.f64 (-.f64 (+.f64 x (/.f64 eps x)) (*.f64 eps (/.f64 1/2 x))) (/.f64 (+.f64 eps eps) x)) 1)
(/.f64 (-.f64 (-.f64 (.f64 eps (/.f64 -1/2 x)) (.f64 x -2)) (+.f64 x (/.f64 eps x))) 1)
(/.f64 (-.f64 (-.f64 (.f64 x 4) (.f64 eps (/.f64 1/2 x))) (+.f64 (/.f64 eps x) (*.f64 x 3))) 1)
(/.f64 (-.f64 (neg.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3))) (neg.f64 (*.f64 x 4))) 1)
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(/.f64 (-.f64 (-.f64 (.f64 eps (/.f64 3/2 x)) x) (.f64 (+.f64 x (*.f64 eps (/.f64 -3/2 x))) -2)) 1)
(/.f64 (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3)) (.f64 (+.f64 x (.f64 eps (/.f64 3/2 x))) 2)) 1)
(/.f64 (-.f64 (+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (/.f64 (neg.f64 eps) x)) (.f64 (-.f64 (*.f64 eps (/.f64 1/2 x)) x) 2)) 1)
(/.f64 (-.f64 (+.f64 (+.f64 x (/.f64 eps x)) (.f64 (/.f64 eps x) 5/2)) (.f64 (/.f64 eps x) 5)) 1)
(pow.f64 (+.f64 x (*.f64 eps (/.f64 -3/2 x))) 1)
(neg.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x))

Outputs
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
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(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 eps) (.f64 -1 (-.f64 eps (.f64 -1/2 eps)))) x))
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x
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x
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x
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(*.f64 -3/2 (/.f64 eps x))
(/.f64 (-.f64 (*.f64 -1/2 eps) eps) x)
(*.f64 eps (/.f64 -3/2 x))
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(*.f64 -3/2 (/.f64 eps x))
(/.f64 (-.f64 (*.f64 -1/2 eps) eps) x)
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(-.f64 (+.f64 (neg.f64 x) (+.f64 x (*.f64 eps (/.f64 -1/2 x)))) 0)
(*.f64 -1/2 (/.f64 eps x))
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(.f64 (+.f64 (neg.f64 x) (+.f64 x (.f64 eps (/.f64 -1/2 x)))) 1)
(*.f64 -1/2 (/.f64 eps x))
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(*.f64 (/.f64 eps x) 3/2)
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(-.f64 (+.f64 x (*.f64 eps (/.f64 -1/2 x))) (/.f64 eps x))
(+.f64 x (*.f64 eps (/.f64 -3/2 x)))
(neg.f64 (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(-.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) (/.f64 eps x))
(-.f64 (+.f64 x (*.f64 eps (/.f64 -1/2 x))) (/.f64 eps x))
(+.f64 x (*.f64 eps (/.f64 -3/2 x)))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x x) (/.f64 eps x))
✓	0.2b	(*.f64 eps (/.f64 -3/2 x))
✓	6.2b	(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))

Compiler

Compiled 79 to 37 computations (53.2% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
0.0ms	eps	@	0	(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
0.0ms	x	@	0	(-.f64 (+.f64 x x) (/.f64 eps x))
0.0ms	x	@	-inf	(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
0.0ms	eps	@	0	(-.f64 (+.f64 x x) (/.f64 eps x))

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-1`
1232×	`rational_best-4`
1232×	`rational_best-2`
1232×	`rational_best-3`
1232×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	105	85
2	157	85
3	216	85
4	369	85
5	879	85
6	2895	85
7	5289	85

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
(*.f64 eps (/.f64 -3/2 x))
(-.f64 (+.f64 x x) (/.f64 eps x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (/.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 -3/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (/.f64 -3/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (/.f64 -3/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (/.f64 -3/2 x)) 1)))))

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

simplify275.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational_best-simplify-55`
1130×	`rational_best-simplify-1`
786×	`rational_best-simplify-51`
766×	`rational_best-simplify-2`
662×	`rational_best-simplify-43`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	244	5513
1	413	5131
2	698	5107
3	1141	5107
4	1858	4995
5	2624	4615
6	3863	4551
7	5723	4287
8	6714	4287
9	7176	4287
10	7967	4287

Stop Event

1×	node limit

Counts

185 → 164

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 -3/2 eps)) x))
(.f64 -1 (/.f64 (+.f64 eps (.f64 eps -3/2)) x))
(neg.f64 (/.f64 (+.f64 eps (*.f64 eps -3/2)) x))
(/.f64 (+.f64 eps (*.f64 eps -3/2)) (neg.f64 x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 3/2 eps)) x)
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 3/2 eps)) x)
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 3/2 eps)) x)
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 3/2 eps)) x)
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (+.f64 (.f64 -1 eps) (.f64 eps 3/2)) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -3/2 (/.f64 eps x))
(*.f64 -1 (/.f64 eps x))
(/.f64 eps (neg.f64 x))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
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(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
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(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
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(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
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(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
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(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
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(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
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(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
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(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
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(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 -1 (/.f64 eps x))
(/.f64 eps (neg.f64 x))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
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(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
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(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 -1 (/.f64 eps x))
(/.f64 eps (neg.f64 x))
(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
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(+.f64 (.f64 2 x) (.f64 -1 (/.f64 eps x)))
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(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
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(-.f64 0 (+.f64 x (+.f64 (+.f64 x (.f64 eps (/.f64 -3/2 x))) (+.f64 (/.f64 eps x) (.f64 x -2)))))
(neg.f64 (+.f64 x (+.f64 (.f64 x -2) (+.f64 (/.f64 eps x) (+.f64 x (.f64 eps (/.f64 -3/2 x)))))))
(neg.f64 (+.f64 x (+.f64 (*.f64 eps (/.f64 -3/2 x)) (+.f64 (/.f64 eps x) (neg.f64 x)))))
(neg.f64 (+.f64 (/.f64 eps x) (+.f64 (.f64 eps (/.f64 -3/2 x)) (.f64 x 0))))
(neg.f64 (+.f64 (-.f64 x x) (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x)))))
(neg.f64 (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(-.f64 (+.f64 (+.f64 x x) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x)))))) 0)
(neg.f64 (+.f64 x (+.f64 (.f64 x -2) (+.f64 (/.f64 eps x) (+.f64 x (.f64 eps (/.f64 -3/2 x)))))))
(neg.f64 (+.f64 x (+.f64 (*.f64 eps (/.f64 -3/2 x)) (+.f64 (/.f64 eps x) (neg.f64 x)))))
(neg.f64 (+.f64 (/.f64 eps x) (+.f64 (.f64 eps (/.f64 -3/2 x)) (.f64 x 0))))
(neg.f64 (+.f64 (-.f64 x x) (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x)))))
(neg.f64 (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(.f64 (+.f64 (+.f64 x x) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x)))))) 1)
(neg.f64 (+.f64 x (+.f64 (.f64 x -2) (+.f64 (/.f64 eps x) (+.f64 x (.f64 eps (/.f64 -3/2 x)))))))
(neg.f64 (+.f64 x (+.f64 (*.f64 eps (/.f64 -3/2 x)) (+.f64 (/.f64 eps x) (neg.f64 x)))))
(neg.f64 (+.f64 (/.f64 eps x) (+.f64 (.f64 eps (/.f64 -3/2 x)) (.f64 x 0))))
(neg.f64 (+.f64 (-.f64 x x) (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x)))))
(neg.f64 (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(.f64 1 (+.f64 (+.f64 x x) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x)))))))
(neg.f64 (+.f64 x (+.f64 (.f64 x -2) (+.f64 (/.f64 eps x) (+.f64 x (.f64 eps (/.f64 -3/2 x)))))))
(neg.f64 (+.f64 x (+.f64 (*.f64 eps (/.f64 -3/2 x)) (+.f64 (/.f64 eps x) (neg.f64 x)))))
(neg.f64 (+.f64 (/.f64 eps x) (+.f64 (.f64 eps (/.f64 -3/2 x)) (.f64 x 0))))
(neg.f64 (+.f64 (-.f64 x x) (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x)))))
(neg.f64 (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(.f64 -1 (+.f64 x (+.f64 (+.f64 x (.f64 eps (/.f64 -3/2 x))) (+.f64 (/.f64 eps x) (*.f64 x -2)))))
(neg.f64 (+.f64 x (+.f64 (.f64 x -2) (+.f64 (/.f64 eps x) (+.f64 x (.f64 eps (/.f64 -3/2 x)))))))
(neg.f64 (+.f64 x (+.f64 (*.f64 eps (/.f64 -3/2 x)) (+.f64 (/.f64 eps x) (neg.f64 x)))))
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(neg.f64 (+.f64 (-.f64 x x) (*.f64 eps (+.f64 (/.f64 -3/2 x) (/.f64 1 x)))))
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(+.f64 (.f64 (+.f64 x (/.f64 eps x)) -2) (+.f64 (/.f64 eps x) (.f64 x 4)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 (+.f64 x (-.f64 x (/.f64 eps x))) 1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 1 (+.f64 x (-.f64 x (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(.f64 -1 (+.f64 (/.f64 eps x) (.f64 x -2)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 -1 (+.f64 (neg.f64 x) (-.f64 (/.f64 eps x) x)))
(neg.f64 (+.f64 (neg.f64 x) (-.f64 (/.f64 eps x) x)))
(neg.f64 (+.f64 (-.f64 (/.f64 eps x) x) (neg.f64 x)))
(.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(*.f64 (+.f64 (neg.f64 x) (-.f64 (/.f64 eps x) x)) -1)
(neg.f64 (+.f64 (neg.f64 x) (-.f64 (/.f64 eps x) x)))
(neg.f64 (+.f64 (-.f64 (/.f64 eps x) x) (neg.f64 x)))
(/.f64 (+.f64 x (-.f64 x (/.f64 eps x))) 1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (+.f64 (/.f64 eps x) (*.f64 x -2)) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2) (/.f64 eps x)) (.f64 x -2)) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (-.f64 (neg.f64 (-.f64 0 (+.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) (.f64 x -4)))) (*.f64 x -4)) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (-.f64 (+.f64 (+.f64 x x) (*.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2)) (/.f64 eps x)) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (-.f64 (+.f64 (.f64 (/.f64 eps x) -2) (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2)) (-.f64 (*.f64 x -2) (/.f64 eps x))) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2)) (+.f64 x (+.f64 x (/.f64 eps x)))) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2) (+.f64 (/.f64 eps x) (.f64 x 6))) (*.f64 x -8)) -1)
(+.f64 (.f64 x 6) (+.f64 (/.f64 eps x) (-.f64 (.f64 x -8) (*.f64 -2 (+.f64 x (-.f64 x (/.f64 eps x)))))))
(+.f64 (/.f64 eps x) (+.f64 (.f64 x 6) (-.f64 (.f64 x -8) (*.f64 -2 (+.f64 x (-.f64 x (/.f64 eps x)))))))
(+.f64 (+.f64 (/.f64 eps x) (.f64 x 6)) (-.f64 (.f64 x -8) (*.f64 -2 (+.f64 x (-.f64 x (/.f64 eps x))))))
(+.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (+.f64 (+.f64 (/.f64 eps x) (.f64 x 6)) (*.f64 x -8)))
(+.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (+.f64 (.f64 x -8) (+.f64 (/.f64 eps x) (*.f64 x 6))))
(-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (-.f64 (.f64 x 16) (+.f64 (/.f64 eps x) (*.f64 x 14))))
(+.f64 (/.f64 eps x) (+.f64 (.f64 x 6) (.f64 2 (-.f64 (*.f64 x -2) (/.f64 eps x)))))
(/.f64 (-.f64 (+.f64 (.f64 x 8) (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2)) (+.f64 (/.f64 eps x) (*.f64 x 6))) -1)
(+.f64 (.f64 x 6) (+.f64 (/.f64 eps x) (-.f64 (.f64 x -8) (*.f64 -2 (+.f64 x (-.f64 x (/.f64 eps x)))))))
(+.f64 (/.f64 eps x) (+.f64 (.f64 x 6) (-.f64 (.f64 x -8) (*.f64 -2 (+.f64 x (-.f64 x (/.f64 eps x)))))))
(+.f64 (+.f64 (/.f64 eps x) (.f64 x 6)) (-.f64 (.f64 x -8) (*.f64 -2 (+.f64 x (-.f64 x (/.f64 eps x))))))
(+.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (+.f64 (+.f64 (/.f64 eps x) (.f64 x 6)) (*.f64 x -8)))
(+.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (+.f64 (.f64 x -8) (+.f64 (/.f64 eps x) (*.f64 x 6))))
(-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (-.f64 (.f64 x 16) (+.f64 (/.f64 eps x) (*.f64 x 14))))
(+.f64 (/.f64 eps x) (+.f64 (.f64 x 6) (.f64 2 (-.f64 (*.f64 x -2) (/.f64 eps x)))))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2) (.f64 (+.f64 x (+.f64 x (/.f64 eps x))) 2)) (neg.f64 (+.f64 (/.f64 eps x) (*.f64 x 6)))) -1)
(+.f64 (.f64 x 8) (neg.f64 (+.f64 (/.f64 eps x) (.f64 x 6))))
(-.f64 (.f64 x 16) (+.f64 (/.f64 eps x) (.f64 x 14)))
(/.f64 (-.f64 (.f64 (/.f64 eps x) 3) (.f64 2 (+.f64 x (/.f64 eps x)))) -1)
(+.f64 (.f64 2 (+.f64 x (/.f64 eps x))) (.f64 (/.f64 eps x) -3))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 x (-.f64 x (/.f64 eps x))) -2) (.f64 (/.f64 eps x) 4)) (neg.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 eps x) 3)))) -1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(pow.f64 (+.f64 x (-.f64 x (/.f64 eps x))) 1)
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 x -2)))
(+.f64 (.f64 -1 (/.f64 eps x)) (.f64 x 2))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 x 2))
(+.f64 x (+.f64 x (/.f64 eps (neg.f64 x))))
(+.f64 x (-.f64 x (/.f64 eps x)))

eval336.0ms (3.1%)

Compiler: Compiled 24655 to 13070 computations (47% saved)

prune302.0ms (2.8%)

Pruning

86 alts after pruning (75 fresh and 11 done)

	Pruned	Kept	Total
New	945	69	1014
Fresh	7	6	13
Picked	1	0	1
Done	2	11	13
Total	955	86	1041

Error

0.2b

Counts

1041 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	34.6b	(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
	34.4b	(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
	34.9b	(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
	34.8b	(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
	34.8b	(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
	34.9b	(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
	34.9b	(-.f64 (.f64 (/.f64 eps x) 5/2) (.f64 eps (/.f64 2 x)))
	34.6b	(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
	34.8b	(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
✓	59.9b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
	60.6b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	60.6b	(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
✓	25.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	25.8b	(-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)))
✓	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.2b	(-.f64 x x)
	60.6b	(+.f64 (/.f64 eps x) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
	59.9b	(+.f64 (-.f64 (/.f64 eps x) (.f64 x 4)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4)))
	35.0b	(+.f64 (-.f64 (.f64 (/.f64 eps x) 3/2) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 3))
	59.9b	(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 eps (/.f64 -3/2 x))) x))
✓	59.9b	(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
	59.9b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
	60.0b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3)) (*.f64 x -4)))
	59.8b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
	59.9b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2)))))
	59.9b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 3/2 x) 3))))))
	59.8b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 21/2) (.f64 -2 (+.f64 x (*.f64 (/.f64 eps x) 9/2))))))
	59.8b	(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 (*.f64 eps (/.f64 -3/2 x)) x) 2))))
	60.1b	(+.f64 (+.f64 (/.f64 eps x) (+.f64 (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (.f64 x 8)) (.f64 x 7))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
	59.9b	(+.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)))
	60.1b	(+.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (.f64 x 16)) (+.f64 (/.f64 eps x) (.f64 x 14))) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x))))))
	60.6b	(+.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (/.f64 eps (neg.f64 x)) 4)) (neg.f64 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
	60.6b	(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 4)))
	60.6b	(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
	60.6b	(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3))))
	59.9b	(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 2 x))) (.f64 (/.f64 eps x) -3)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
	60.6b	(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
	60.6b	(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (+.f64 (.f64 eps (/.f64 -2 x)) (neg.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (.f64 eps (/.f64 -2 x)))))))))
	59.9b	(+.f64 (+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (+.f64 x (.f64 (/.f64 eps x) 3)))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
	35.1b	(+.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (/.f64 eps x) 3/2)) (*.f64 4 (/.f64 eps (neg.f64 x))))
	60.6b	(+.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 -1/2 x) 3)))))))
	60.6b	(+.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) -3)))))))
	60.6b	(+.f64 (+.f64 (.f64 eps (/.f64 2 x)) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 3))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))
	60.6b	(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))))) (-.f64 0 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (*.f64 eps 3)))))))
	60.6b	(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)))))
	60.6b	(+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))))))
	60.6b	(+.f64 (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) (*.f64 x -2)))))
	60.6b	(+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (.f64 eps (.f64 (/.f64 -1/2 x) -3)))
	60.6b	(+.f64 (+.f64 x (/.f64 eps x)) (*.f64 eps (/.f64 -1/2 x)))
	59.9b	(+.f64 (+.f64 x (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (.f64 eps (/.f64 -2 x)) 2))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
	60.6b	(+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (*.f64 eps (/.f64 2 x)))
	60.6b	(+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (*.f64 (/.f64 eps x) 2))
	60.6b	(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (*.f64 (neg.f64 (/.f64 eps x)) -4))
	60.6b	(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3)) 2)))
	60.6b	(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (.f64 (/.f64 eps x) 4)))
	60.7b	(+.f64 (+.f64 1 (/.f64 eps (neg.f64 x))) (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)))
	60.7b	(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
	60.6b	(+.f64 (.f64 (/.f64 eps x) 4) (neg.f64 (+.f64 (.f64 (.f64 eps (/.f64 1/2 x)) 3) (+.f64 (neg.f64 x) (.f64 eps (/.f64 2 x))))))
	60.6b	(+.f64 (.f64 (+.f64 (neg.f64 x) (.f64 eps (.f64 (/.f64 -1/2 x) -3))) 2) (neg.f64 (+.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)))))
	60.6b	(+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 3)))))
	60.6b	(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
	60.6b	(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 eps x) (*.f64 x -3))))
	60.6b	(+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 -1/2 x) -3)))))
	60.6b	(+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (*.f64 eps (/.f64 2 x))))
✓	45.2b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
	60.6b	(+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (/.f64 eps x) 4)))
	60.6b	(+.f64 x (.f64 eps (+.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) -3))))
	34.6b	(*.f64 (+.f64 (/.f64 3/2 x) (/.f64 -1 x)) eps)
	34.4b	(*.f64 eps (/.f64 1/2 x))
✓	34.3b	(*.f64 1/2 (/.f64 eps x))
✓	26.0b	(.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x -3))))
	60.6b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (/.f64 (-.f64 (.f64 -1/2 eps) eps) x)))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (/.f64 (.f64 eps 5/2) x) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 5/2 x)) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (+.f64 x (.f64 (/.f64 eps x) 3))) (.f64 eps (*.f64 4 (/.f64 3/2 x))))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 eps x) 4) (.f64 (/.f64 eps x) 4)) (+.f64 (.f64 (/.f64 eps x) 4) (*.f64 (/.f64 eps x) 5/2))))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (/.f64 eps x) 4) (/.f64 (*.f64 eps 5/2) x)))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (.f64 eps (/.f64 3/2 x)) 4) (.f64 (/.f64 eps x) 9/2)))))
	60.6b	(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (.f64 eps (/.f64 -3/2 x))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (+.f64 x (.f64 (/.f64 eps x) 3)) (.f64 2 (+.f64 x (/.f64 eps x)))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
	59.9b	(.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 eps x) 4) (+.f64 x (.f64 (/.f64 eps x) 3))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
	59.9b	(.f64 -1 (+.f64 (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x)) (+.f64 x (+.f64 (/.f64 eps x) (.f64 x -4)))))
	34.6b	(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
	34.7b	(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
✓	28.8b	(neg.f64 (sqrt.f64 (neg.f64 eps)))
	61.7b	x

Compiler

Compiled 2119 to 1400 computations (33.9% saved)

regimes394.0ms (3.6%)

Counts

99 → 2

Calls

Call 1

Inputs
x
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(.f64 (/.f64 1 x) (.f64 eps 1/2))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 x (*.f64 (/.f64 eps x) -1/2))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 (+.f64 (/.f64 3/2 x) (/.f64 -1 x)) eps)
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
(+.f64 (+.f64 x (/.f64 eps x)) (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (/.f64 eps x) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
(-.f64 (.f64 (/.f64 eps x) 5/2) (.f64 eps (/.f64 2 x)))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (.f64 eps (/.f64 -3/2 x))))
(+.f64 x (.f64 eps (+.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) -3))))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 (/.f64 eps x) x) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
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(.f64 -1 (+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (-.f64 x (/.f64 eps x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (/.f64 (-.f64 (.f64 -1/2 eps) eps) x)))
(+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (*.f64 eps (/.f64 2 x))))
(+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (*.f64 (/.f64 eps x) 2))
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(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 x 4) (.f64 x -3))))
(+.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)))
(+.f64 (-.f64 (.f64 (/.f64 eps x) 3/2) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 3))
(+.f64 (-.f64 (/.f64 eps x) (.f64 x 4)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4)))
(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (/.f64 eps x) 3/2)) (*.f64 4 (/.f64 eps (neg.f64 x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (-.f64 x (.f64 eps (/.f64 1/2 x))) (/.f64 eps x))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3)) (*.f64 x -4)))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 eps (/.f64 -3/2 x))) x))
(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (*.f64 (neg.f64 (/.f64 eps x)) -4))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2)))))
(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
(.f64 -1 (+.f64 (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x)) (+.f64 x (+.f64 (/.f64 eps x) (.f64 x -4)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (/.f64 eps x) 4) (/.f64 (*.f64 eps 5/2) x)))))
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(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (.f64 (/.f64 eps x) 4)))
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(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (.f64 eps (/.f64 3/2 x)) 4) (.f64 (/.f64 eps x) 9/2)))))
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(.f64 -1 (+.f64 (.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) 2) (neg.f64 (+.f64 x (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x))))))
(.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 eps x) 4) (+.f64 x (.f64 (/.f64 eps x) 3))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 5/2 x)) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (/.f64 (.f64 eps 5/2) x) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
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(+.f64 (+.f64 (.f64 eps (/.f64 2 x)) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 3))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (+.f64 x (.f64 (/.f64 eps x) 3))) (.f64 eps (*.f64 4 (/.f64 3/2 x))))))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (+.f64 x (.f64 (/.f64 eps x) 3)))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3)) 2)))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 eps x) 4) (.f64 (/.f64 eps x) 4)) (+.f64 (.f64 (/.f64 eps x) 4) (*.f64 (/.f64 eps x) 5/2))))))
(+.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (.f64 x 16)) (+.f64 (/.f64 eps x) (.f64 x 14))) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x))))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
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(+.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
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(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (+.f64 (.f64 eps (/.f64 -2 x)) (neg.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (.f64 eps (/.f64 -2 x)))))))))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps)))
(.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (.f64 x 4) (.f64 x -3))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))

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

Calls

3 calls:

147.0ms	eps
138.0ms	x
70.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
6.8b	2	`x`
12.1b	2	`eps`
0.7b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 2169 to 1219 computations (43.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.7259328309644596e-153	-6.828314878418158e-159

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes392.0ms (3.6%)

Counts

95 → 2

Calls

Call 1

Inputs
x
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(.f64 (/.f64 1 x) (.f64 eps 1/2))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 x (*.f64 (/.f64 eps x) -1/2))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 (+.f64 (/.f64 3/2 x) (/.f64 -1 x)) eps)
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
(+.f64 (+.f64 x (/.f64 eps x)) (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (/.f64 eps x) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
(-.f64 (.f64 (/.f64 eps x) 5/2) (.f64 eps (/.f64 2 x)))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (.f64 eps (/.f64 -3/2 x))))
(+.f64 x (.f64 eps (+.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) -3))))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 (/.f64 eps x) x) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (+.f64 1 (/.f64 eps (neg.f64 x))) (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)))
(+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (.f64 eps (.f64 (/.f64 -1/2 x) -3)))
(.f64 -1 (+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (-.f64 x (/.f64 eps x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (/.f64 (-.f64 (.f64 -1/2 eps) eps) x)))
(+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (*.f64 eps (/.f64 2 x))))
(+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (*.f64 (/.f64 eps x) 2))
(+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (*.f64 eps (/.f64 2 x)))
(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 x 4) (.f64 x -3))))
(+.f64 (+.f64 (/.f64 eps x) (.f64 x -2)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x x)))
(+.f64 (-.f64 (.f64 (/.f64 eps x) 3/2) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 3))
(+.f64 (-.f64 (/.f64 eps x) (.f64 x 4)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4)))
(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (/.f64 eps x) 3/2)) (*.f64 4 (/.f64 eps (neg.f64 x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (-.f64 x (.f64 eps (/.f64 1/2 x))) (/.f64 eps x))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (.f64 x 3)) (*.f64 x -4)))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 eps (/.f64 -3/2 x))) x))
(+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (*.f64 (neg.f64 (/.f64 eps x)) -4))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 (/.f64 eps x) 9/2)))))
(+.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (*.f64 eps (/.f64 -3/2 x))))))
(.f64 -1 (+.f64 (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x)) (+.f64 x (+.f64 (/.f64 eps x) (.f64 x -4)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (/.f64 eps x) 4) (/.f64 (*.f64 eps 5/2) x)))))
(+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (/.f64 eps x) 4)))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (.f64 (/.f64 eps x) 4)))
(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 2 x))) (.f64 (/.f64 eps x) -3)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 3/2 x) 3))))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (.f64 eps (/.f64 3/2 x)) 4) (.f64 (/.f64 eps x) 9/2)))))
(+.f64 (.f64 (/.f64 eps x) 4) (neg.f64 (+.f64 (.f64 (.f64 eps (/.f64 1/2 x)) 3) (+.f64 (neg.f64 x) (.f64 eps (/.f64 2 x))))))
(+.f64 (+.f64 x (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (.f64 eps (/.f64 -2 x)) 2))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) (*.f64 x -2)))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 (*.f64 eps (/.f64 -3/2 x)) x) 2))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 21/2) (.f64 -2 (+.f64 x (*.f64 (/.f64 eps x) 9/2))))))
(+.f64 (-.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x x)) (/.f64 eps x)) (-.f64 (.f64 (/.f64 eps x) 2) (+.f64 x x)))
(.f64 -1 (+.f64 (.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) 2) (neg.f64 (+.f64 x (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x))))))
(.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 eps x) 4) (+.f64 x (.f64 (/.f64 eps x) 3))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 5/2 x)) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (/.f64 (.f64 eps 5/2) x) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 eps x) (*.f64 x -3))))
(+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 -1/2 x) -3)))))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 3)))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(.f64 -1 (+.f64 (-.f64 (+.f64 x (.f64 (/.f64 eps x) 3)) (.f64 2 (+.f64 x (/.f64 eps x)))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(+.f64 (+.f64 (/.f64 eps x) (+.f64 (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (.f64 x 8)) (.f64 x 7))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (.f64 (+.f64 (neg.f64 x) (.f64 eps (.f64 (/.f64 -1/2 x) -3))) 2) (neg.f64 (+.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)))))
(+.f64 (+.f64 (.f64 eps (/.f64 2 x)) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 3))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (+.f64 x (.f64 (/.f64 eps x) 3))) (.f64 eps (*.f64 4 (/.f64 3/2 x))))))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (+.f64 x (.f64 (/.f64 eps x) 3)))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3)) 2)))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 eps x) 4) (.f64 (/.f64 eps x) 4)) (+.f64 (.f64 (/.f64 eps x) 4) (*.f64 (/.f64 eps x) 5/2))))))
(+.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (.f64 x 16)) (+.f64 (/.f64 eps x) (.f64 x 14))) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x))))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (/.f64 eps (neg.f64 x)) 4)) (neg.f64 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 4)))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) -3)))))))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))))) (-.f64 0 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (*.f64 eps 3)))))))
(+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (+.f64 (.f64 eps (/.f64 -2 x)) (neg.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (.f64 eps (/.f64 -2 x)))))))))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

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

Calls

3 calls:

217.0ms	eps
74.0ms	x
61.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
6.8b	2	`x`
12.1b	2	`eps`
0.7b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 2091 to 1169 computations (44.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.7259328309644596e-153	-6.828314878418158e-159

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes315.0ms (2.9%)

Counts

94 → 2

Calls

Call 1

Inputs
x
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(.f64 (/.f64 1 x) (.f64 eps 1/2))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 x (*.f64 (/.f64 eps x) -1/2))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 (+.f64 (/.f64 3/2 x) (/.f64 -1 x)) eps)
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
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(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (/.f64 (-.f64 (.f64 -1/2 eps) eps) x)))
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(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
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(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (/.f64 eps x) 4) (/.f64 (*.f64 eps 5/2) x)))))
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(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (.f64 (/.f64 eps x) 4)))
(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 2 x))) (.f64 (/.f64 eps x) -3)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 3/2 x) 3))))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (.f64 eps (/.f64 3/2 x)) 4) (.f64 (/.f64 eps x) 9/2)))))
(+.f64 (.f64 (/.f64 eps x) 4) (neg.f64 (+.f64 (.f64 (.f64 eps (/.f64 1/2 x)) 3) (+.f64 (neg.f64 x) (.f64 eps (/.f64 2 x))))))
(+.f64 (+.f64 x (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (.f64 eps (/.f64 -2 x)) 2))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) (*.f64 x -2)))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 (*.f64 eps (/.f64 -3/2 x)) x) 2))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 21/2) (.f64 -2 (+.f64 x (*.f64 (/.f64 eps x) 9/2))))))
(+.f64 (-.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x x)) (/.f64 eps x)) (-.f64 (.f64 (/.f64 eps x) 2) (+.f64 x x)))
(.f64 -1 (+.f64 (.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) 2) (neg.f64 (+.f64 x (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x))))))
(.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 eps x) 4) (+.f64 x (.f64 (/.f64 eps x) 3))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 5/2 x)) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (/.f64 (.f64 eps 5/2) x) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 eps x) (*.f64 x -3))))
(+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 -1/2 x) -3)))))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 3)))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(.f64 -1 (+.f64 (-.f64 (+.f64 x (.f64 (/.f64 eps x) 3)) (.f64 2 (+.f64 x (/.f64 eps x)))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(+.f64 (+.f64 (/.f64 eps x) (+.f64 (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (.f64 x 8)) (.f64 x 7))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (.f64 (+.f64 (neg.f64 x) (.f64 eps (.f64 (/.f64 -1/2 x) -3))) 2) (neg.f64 (+.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)))))
(+.f64 (+.f64 (.f64 eps (/.f64 2 x)) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 3))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (+.f64 x (.f64 (/.f64 eps x) 3))) (.f64 eps (*.f64 4 (/.f64 3/2 x))))))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (+.f64 x (.f64 (/.f64 eps x) 3)))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3)) 2)))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 eps x) 4) (.f64 (/.f64 eps x) 4)) (+.f64 (.f64 (/.f64 eps x) 4) (*.f64 (/.f64 eps x) 5/2))))))
(+.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (.f64 x 16)) (+.f64 (/.f64 eps x) (.f64 x 14))) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x))))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (/.f64 eps (neg.f64 x)) 4)) (neg.f64 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 4)))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) -3)))))))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
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(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))

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

Calls

2 calls:

135.0ms	eps
81.0ms	x

Results

Error	Segments	Branch
7.8b	2	`x`
13.6b	2	`eps`

Compiler

Compiled 2073 to 1159 computations (44.1% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	2.7422230408122158e-101	5.551802915068274e-101

Results

6.0ms	63×	body	256	valid
2.0ms	17×	body	512	valid
1.0ms	6×	body	256	invalid

Compiler

Compiled 95 to 70 computations (26.3% saved)

regimes352.0ms (3.2%)

Counts

93 → 2

Calls

Call 1

Inputs
x
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(.f64 (/.f64 1 x) (.f64 eps 1/2))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 x (*.f64 (/.f64 eps x) -1/2))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 (+.f64 (/.f64 3/2 x) (/.f64 -1 x)) eps)
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
(+.f64 (+.f64 x (/.f64 eps x)) (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (/.f64 eps x) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
(-.f64 (.f64 (/.f64 eps x) 5/2) (.f64 eps (/.f64 2 x)))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (.f64 eps (/.f64 -3/2 x))))
(+.f64 x (.f64 eps (+.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) -3))))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 (/.f64 eps x) x) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (+.f64 1 (/.f64 eps (neg.f64 x))) (+.f64 -1 (*.f64 (/.f64 eps x) 3/2)))
(+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (.f64 eps (.f64 (/.f64 -1/2 x) -3)))
(.f64 -1 (+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (-.f64 x (/.f64 eps x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (/.f64 (-.f64 (.f64 -1/2 eps) eps) x)))
(+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (*.f64 eps (/.f64 2 x))))
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(+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (*.f64 eps (/.f64 2 x)))
(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 x 4) (.f64 x -3))))
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(+.f64 (-.f64 (.f64 (/.f64 eps x) 3/2) (.f64 (/.f64 eps x) 4)) (*.f64 (/.f64 eps x) 3))
(+.f64 (-.f64 (/.f64 eps x) (.f64 x 4)) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 x 4)))
(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (/.f64 eps x) 3/2)) (*.f64 4 (/.f64 eps (neg.f64 x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (-.f64 x (.f64 eps (/.f64 1/2 x))) (/.f64 eps x))))
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(.f64 -1 (+.f64 (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x)) (+.f64 x (+.f64 (/.f64 eps x) (.f64 x -4)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (/.f64 eps x) 4) (/.f64 (*.f64 eps 5/2) x)))))
(+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (/.f64 eps x) 4)))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (.f64 (/.f64 eps x) 4)))
(+.f64 (+.f64 (+.f64 x (.f64 eps (/.f64 2 x))) (.f64 (/.f64 eps x) -3)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (.f64 (/.f64 eps x) 6) (neg.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 3/2 x) 3))))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (.f64 (.f64 eps (/.f64 3/2 x)) 4) (.f64 (/.f64 eps x) 9/2)))))
(+.f64 (.f64 (/.f64 eps x) 4) (neg.f64 (+.f64 (.f64 (.f64 eps (/.f64 1/2 x)) 3) (+.f64 (neg.f64 x) (.f64 eps (/.f64 2 x))))))
(+.f64 (+.f64 x (+.f64 (.f64 (/.f64 eps x) 3) (.f64 (.f64 eps (/.f64 -2 x)) 2))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)) (neg.f64 (+.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) (*.f64 x -2)))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 9/2) (.f64 (-.f64 (*.f64 eps (/.f64 -3/2 x)) x) 2))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 x (+.f64 (.f64 (/.f64 eps x) 21/2) (.f64 -2 (+.f64 x (*.f64 (/.f64 eps x) 9/2))))))
(+.f64 (-.f64 (+.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x x)) (/.f64 eps x)) (-.f64 (.f64 (/.f64 eps x) 2) (+.f64 x x)))
(.f64 -1 (+.f64 (.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) 2) (neg.f64 (+.f64 x (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x))))))
(.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 eps x) 4) (+.f64 x (.f64 (/.f64 eps x) 3))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 5/2 x)) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (/.f64 (.f64 eps 5/2) x) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (.f64 eps (.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 eps x) (*.f64 x -3))))
(+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 -1/2 x) -3)))))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 3)))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3))) (.f64 (+.f64 (.f64 eps (/.f64 -3/2 x)) (neg.f64 x)) 2)))
(.f64 -1 (+.f64 (-.f64 (+.f64 x (.f64 (/.f64 eps x) 3)) (.f64 2 (+.f64 x (/.f64 eps x)))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(+.f64 (+.f64 (/.f64 eps x) (+.f64 (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (.f64 x 8)) (.f64 x 7))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (.f64 (+.f64 (neg.f64 x) (.f64 eps (.f64 (/.f64 -1/2 x) -3))) 2) (neg.f64 (+.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)))))
(+.f64 (+.f64 (.f64 eps (/.f64 2 x)) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 3))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (+.f64 x (.f64 (/.f64 eps x) 3))) (.f64 eps (*.f64 4 (/.f64 3/2 x))))))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (+.f64 x (.f64 (/.f64 eps x) 3)))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3)) 2)))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 eps x) 4) (.f64 (/.f64 eps x) 4)) (+.f64 (.f64 (/.f64 eps x) 4) (*.f64 (/.f64 eps x) 5/2))))))
(+.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (.f64 x 16)) (+.f64 (/.f64 eps x) (.f64 x 14))) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x))))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (/.f64 eps (neg.f64 x)) 4)) (neg.f64 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 4)))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) -3)))))))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
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(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))
(neg.f64 (sqrt.f64 (neg.f64 eps)))

Outputs
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(*.f64 1/2 (/.f64 eps x))

Calls

2 calls:

181.0ms	eps
84.0ms	x

Results

Error	Segments	Branch
8.0b	2	`x`
13.6b	2	`eps`

Compiler

Compiled 2068 to 1158 computations (44% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	2.7422230408122158e-101	5.551802915068274e-101

Results

6.0ms	62×	body	256	valid
3.0ms	18×	body	512	valid
1.0ms	10×	body	256	invalid

Compiler

Compiled 90 to 70 computations (22.2% saved)

regimes127.0ms (1.2%)

Counts

92 → 1

Calls

Call 1

Inputs
x
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(.f64 (/.f64 1 x) (.f64 eps 1/2))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 x (*.f64 (/.f64 eps x) -1/2))
(/.f64 (-.f64 (*.f64 3/2 eps) eps) x)
(*.f64 (+.f64 (/.f64 3/2 x) (/.f64 -1 x)) eps)
(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (*.f64 (/.f64 eps x) 3/2) (/.f64 eps x))
(-.f64 (/.f64 eps x) (*.f64 eps (/.f64 1/2 x)))
(neg.f64 (+.f64 (/.f64 eps x) (*.f64 eps (/.f64 -3/2 x))))
(+.f64 (/.f64 eps (neg.f64 x)) (*.f64 (/.f64 eps x) 3/2))
(+.f64 (.f64 (/.f64 eps x) -3/2) (.f64 2 (/.f64 eps x)))
(+.f64 (+.f64 x (/.f64 eps x)) (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (/.f64 eps x) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 (.f64 eps (/.f64 2 x)) (.f64 (/.f64 eps x) 3/2))
(-.f64 (.f64 (/.f64 eps x) 5/2) (.f64 eps (/.f64 2 x)))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (.f64 eps (/.f64 -3/2 x))))
(+.f64 x (.f64 eps (+.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) -3))))
(+.f64 (-.f64 x (/.f64 eps x)) (-.f64 (*.f64 eps (/.f64 3/2 x)) x))
(+.f64 (-.f64 (/.f64 eps x) x) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
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(.f64 -1 (+.f64 (-.f64 (.f64 eps (/.f64 1/2 x)) x) (-.f64 x (/.f64 eps x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (/.f64 (-.f64 (.f64 -1/2 eps) eps) x)))
(+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (*.f64 eps (/.f64 2 x))))
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(-.f64 (.f64 (/.f64 eps x) 3) (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)))
(-.f64 (-.f64 (/.f64 eps x) (.f64 (/.f64 eps x) -3/2)) (.f64 eps (/.f64 2 x)))
(.f64 -1 (.f64 eps (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 1 x)) (/.f64 -1 x)))))
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(.f64 -1 (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (+.f64 (.f64 x 4) (.f64 x -3))))
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(-.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (/.f64 eps x) 3) (/.f64 (*.f64 eps -1/2) x)))
(-.f64 (+.f64 (.f64 eps (/.f64 1/2 x)) (.f64 (/.f64 eps x) 3)) (*.f64 (/.f64 eps x) 3))
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(.f64 -1 (+.f64 (.f64 (-.f64 (+.f64 x x) (/.f64 eps x)) 2) (neg.f64 (+.f64 x (.f64 -3 (-.f64 (.f64 eps (/.f64 1/2 x)) x))))))
(.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 eps x) 4) (+.f64 x (.f64 (/.f64 eps x) 3))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 5/2 x)) (+.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) 5))))
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(+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 (neg.f64 x) (.f64 eps (+.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 3)))))
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(.f64 -1 (+.f64 (-.f64 (+.f64 x (.f64 (/.f64 eps x) 3)) (.f64 2 (+.f64 x (/.f64 eps x)))) (-.f64 x (/.f64 (-.f64 eps (.f64 -1/2 eps)) x))))
(+.f64 (+.f64 (/.f64 eps x) (+.f64 (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (.f64 x 8)) (.f64 x 7))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (.f64 (+.f64 (neg.f64 x) (.f64 eps (.f64 (/.f64 -1/2 x) -3))) 2) (neg.f64 (+.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 5)))))
(+.f64 (+.f64 (.f64 eps (/.f64 2 x)) (+.f64 (neg.f64 x) (.f64 (.f64 eps (/.f64 1/2 x)) 3))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 (+.f64 (.f64 eps (/.f64 3/2 x)) (+.f64 x (.f64 (/.f64 eps x) 3))) (.f64 eps (*.f64 4 (/.f64 3/2 x))))))
(+.f64 (+.f64 (.f64 (/.f64 eps x) 4) (-.f64 (.f64 (-.f64 (/.f64 eps x) x) -2) (+.f64 x (.f64 (/.f64 eps x) 3)))) (-.f64 (.f64 eps (/.f64 3/2 x)) x))
(+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3)) 2)))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 (neg.f64 x) (.f64 (*.f64 eps (/.f64 1/2 x)) 3))))
(.f64 -1 (+.f64 (-.f64 (/.f64 eps x) x) (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 eps x) 4) (.f64 (/.f64 eps x) 4)) (+.f64 (.f64 (/.f64 eps x) 4) (*.f64 (/.f64 eps x) 5/2))))))
(+.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (-.f64 x (/.f64 eps x)))) (.f64 x 16)) (+.f64 (/.f64 eps x) (.f64 x 14))) (neg.f64 (+.f64 0 (+.f64 (+.f64 x x) (.f64 eps (/.f64 -3/2 x))))))
(+.f64 (-.f64 x (/.f64 eps x)) (+.f64 (+.f64 (.f64 (/.f64 eps x) 6) (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))) (neg.f64 (.f64 2 (+.f64 x (.f64 eps (.f64 (/.f64 3/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (.f64 (/.f64 eps (neg.f64 x)) 4)) (neg.f64 (+.f64 (.f64 (/.f64 eps (neg.f64 x)) 4) (.f64 (/.f64 eps (neg.f64 x)) 4))))
(+.f64 (+.f64 (+.f64 x (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (neg.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 4)))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 1/2 x) -3))) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 1/2 x) -3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) -3)))))))
(+.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) 2) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3))))) (neg.f64 (+.f64 (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (.f64 (/.f64 -1/2 x) 3)))) (+.f64 x (.f64 eps (+.f64 (/.f64 -2 x) (*.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2) (.f64 (+.f64 x (.f64 eps (*.f64 (/.f64 -1/2 x) 3))) 2))))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))))) (-.f64 0 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (*.f64 eps 3)))))))
(+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2))) (neg.f64 (+.f64 (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))) (+.f64 (.f64 -2 (/.f64 eps x)) (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3)))))))
(+.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) 2)) (+.f64 (.f64 eps (/.f64 -2 x)) (neg.f64 (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 eps (/.f64 -2 x)) (+.f64 (.f64 eps (.f64 (/.f64 -1/2 x) 3)) (+.f64 x (.f64 eps (/.f64 -2 x)))))))))
(+.f64 (+.f64 (.f64 2 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3)))) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x))) (-.f64 0 (+.f64 (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)) (+.f64 (+.f64 x (.f64 (/.f64 -1/2 x) (.f64 eps 3))) (/.f64 (.f64 eps -2) x)))))
(+.f64 (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4) (+.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)) (+.f64 x (+.f64 (+.f64 x (/.f64 eps (neg.f64 x))) (+.f64 x (.f64 (.f64 eps (/.f64 1/2 x)) -3)))))))))
(+.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) 4))) (neg.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (+.f64 (+.f64 x (.f64 eps (.f64 (/.f64 -1/2 x) 3))) (+.f64 x (+.f64 (+.f64 x (+.f64 x (/.f64 eps (neg.f64 x)))) (.f64 eps (.f64 (/.f64 -1/2 x) 3))))))))

Outputs
(*.f64 1/2 (/.f64 eps x))

Calls

2 calls:

42.0ms	eps
41.0ms	x

Results

Error	Segments	Branch
34.3b	1	`x`
34.3b	1	`eps`

Compiler

Compiled 2064 to 1155 computations (44% saved)

regimes7.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 x x)

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
61.2b	1	`x`
61.2b	1	`eps`

Compiler

Compiled 15 to 8 computations (46.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 x x)

Outputs
x

Calls

2 calls:

5.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
61.7b	1	`x`
61.7b	1	`eps`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	239

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps))) (.f64 1/2 (/.f64 eps x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 2048904322212513/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 5831496917066383/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (neg.f64 (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(-.f64 x x)
x

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (-.f64 x (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 eps -2)) eps))) (.f64 1/2 (/.f64 eps x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 2048904322212513/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 5831496917066383/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (neg.f64 (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(-.f64 x x)
x

Compiler

Compiled 102 to 62 computations (39.2% saved)

soundness0.0ms (0%)

end46.0ms (0.4%)

Compiler: Compiled 90 to 40 computations (55.6% saved)