Details

analyze19.0ms (0.1%)

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)

sample4.3s (20.2%)

Results

2.3s	1059×	body	1024	valid
1.5s	5939×	body	256	valid
496.0ms	1230×	body	512	valid
15.0ms	166×	body	256	invalid
9.0ms	28×	body	2048	valid

Bogosity

preprocess149.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1076×	`rational.json-simplify-2`
944×	`rational.json-simplify-19`
916×	`rational.json-simplify-44`
908×	`rational.json-simplify-37`
812×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	15	46
2	23	46
3	59	46
4	356	46
5	3900	46
6	6119	46
7	7206	46
8	7878	46
0	2	2

Stop Event

1×	saturated
1×	node limit

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)

simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1008×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
634×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	10	23
2	14	23
3	32	23
4	180	23
5	1983	23
6	5944	23
7	7818	23

Stop Event

1×	node limit

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

23.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.7b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0%)

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)
✓	5.3b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series5.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite215.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational.json-1`
1402×	`rational.json-2`
1402×	`rational.json-4`
1402×	`rational.json-3`
1396×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	57	53
2	131	53
3	334	53
4	1192	53
5	4577	53

Stop Event

1×	node limit

Counts

3 → 68

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

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

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

simplify734.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational.json-simplify-46`
1308×	`rational.json-simplify-35`
1094×	`rational.json-simplify-2`
884×	`rational.json-simplify-48`
652×	`rational.json-simplify-41`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	220	3278
1	484	3264
2	928	3240
3	2142	3234
4	4232	3234
5	6248	3230

Stop Event

1×	node limit

Counts

124 → 155

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

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

eval46.0ms (0.2%)

Compiler: Compiled 2845 to 1782 computations (37.4% saved)

prune76.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	9	156

Error

0.3b

Counts

156 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	23.7b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	26.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.2b	(-.f64 x x)
	62.2b	(+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 eps x)))
▶	39.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
▶	61.7b	(*.f64 x 2)
▶	36.1b	(*.f64 1/2 (/.f64 eps x))
▶	26.5b	(neg.f64 (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 148 to 106 computations (28.4% saved)

localize5.0ms (0%)

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

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0%)

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	5.3b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series160.0ms (0.8%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
157.0ms	eps	@	0	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
1.0ms	eps	@	inf	(-.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))

rewrite670.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational.json-1`
1372×	`rational.json-2`
1372×	`rational.json-4`
1372×	`rational.json-3`
1366×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	61	44
2	146	44
3	366	36
4	960	32
5	3869	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

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

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-35`
1108×	`rational.json-simplify-43`
1094×	`rational.json-simplify-46`
836×	`rational.json-simplify-50`
820×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	235	2231
1	686	2221
2	1919	2221
3	5614	2221

Stop Event

1×	node limit

Counts

153 → 142

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

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
✓	25.1b	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))

Compiler

Compiled 53 to 35 computations (34% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
1.0ms	eps	@	0	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
1.0ms	x	@	0	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
0.0ms	x	@	0	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
0.0ms	x	@	-inf	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))

rewrite176.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`rational.json-1`
1692×	`rational.json-2`
1692×	`rational.json-4`
1692×	`rational.json-3`
1680×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	101	62
2	222	62
3	532	62
4	1494	62
5	4674	62

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify883.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1920×	`rational.json-simplify-35`
1248×	`rational.json-simplify-2`
776×	`rational.json-simplify-1`
666×	`rational.json-simplify-50`
638×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2380
1	254	2380
2	531	2380
3	1206	2380
4	2499	2380
5	3927	2380
6	5192	2380
7	6150	2380
8	7698	2380

Stop Event

1×	node limit

Counts

82 → 66

Calls

Call 1

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

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

eval47.0ms (0.2%)

Compiler: Compiled 2620 to 1702 computations (35% saved)

prune222.0ms (1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	198	10	208
Fresh	1	2	3
Picked	0	1	1
Done	0	5	5
Total	199	18	217

Error

0.3b

Counts

217 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	53.0b	(/.f64 (/.f64 (.f64 x (/.f64 2 eps)) 2) (.f64 x (*.f64 (/.f64 (/.f64 x eps) eps) 2)))
	53.0b	(/.f64 (/.f64 x eps) (.f64 2 (.f64 x (/.f64 (/.f64 x eps) eps))))
	36.2b	(/.f64 (/.f64 1/2 x) (/.f64 1 eps))
▶	36.3b	(/.f64 1 (*.f64 x (/.f64 2 eps)))
▶	36.2b	(/.f64 1/2 (/.f64 x eps))
✓	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
	60.7b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	23.7b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	26.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.2b	(-.f64 x x)
	60.8b	(+.f64 (-.f64 -1 (+.f64 x (*.f64 (/.f64 eps x) -1/2))) (-.f64 x -1))
▶	60.8b	(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
✓	39.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
	36.2b	(*.f64 (/.f64 1/2 x) eps)
	54.1b	(.f64 x (/.f64 (/.f64 2 eps) (.f64 (/.f64 x (.f64 eps eps)) (.f64 x 4))))
✓	61.7b	(*.f64 x 2)
✓	36.1b	(*.f64 1/2 (/.f64 eps x))
✓	26.5b	(neg.f64 (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 316 to 220 computations (30.4% saved)

localize836.0ms (3.9%)

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	eps	@	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	x	@	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	eps	@	inf	(-.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)))

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-simplify-35`
1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-3`
1070×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	129	15
3	276	15
4	533	15
5	1217	15
6	3182	15
7	5766	15
8	7372	15

Stop Event

1×	node limit

Counts

1 → 47

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

simplify416.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1818×	`rational.json-simplify-1`
1752×	`rational.json-simplify-35`
1430×	`rational.json-simplify-2`
1258×	`rational.json-simplify-52`
828×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1006
1	226	938
2	685	938
3	1735	938
4	2926	938
5	3579	938
6	3866	938
7	4035	938
8	4299	938
9	4905	938
10	5516	938
11	6315	938
12	6855	938
13	7174	938
14	7215	938
15	7216	938
16	7568	938

Stop Event

1×	node limit

Counts

60 → 54

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

localize3.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`rational.json-simplify-35`
1116×	`rational.json-simplify-2`
1098×	`rational.json-1`
1098×	`rational.json-2`
1098×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	52	13
2	157	13
3	454	13
4	1433	13
5	3657	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-2`
1142×	`rational.json-simplify-35`
1104×	`rational.json-simplify-51`
1094×	`rational.json-simplify-1`
864×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	637
1	97	637
2	195	637
3	386	637
4	1297	637
5	4711	637
6	7497	637

Stop Event

1×	node limit

Counts

49 → 26

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 2 eps))
✓	0.3b	(/.f64 1 (*.f64 x (/.f64 2 eps)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`
1332×	`rational.json-3`
1328×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	75	32
2	200	26
3	587	26
4	2028	26
5	4864	26

Stop Event

1×	node limit

Counts

2 → 214

Calls

Call 1

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

Outputs

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simplify247.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-2`
1402×	`rational.json-simplify-35`
728×	`rational.json-simplify-50`
728×	`rational.json-simplify-51`
602×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	3654
1	1549	3634
2	4637	3612
3	7473	3612

Stop Event

1×	node limit

Counts

262 → 234

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

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

localize294.0ms (1.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 eps (/.f64 1/2 x)))
✓	0.3b	(*.f64 eps (/.f64 1/2 x))
✓	4.7b	(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)

Compiler

Compiled 31 to 22 computations (29% saved)

series1.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`rational.json-1`
1588×	`rational.json-2`
1588×	`rational.json-4`
1588×	`rational.json-3`
1214×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	87	45
2	191	45
3	405	45
4	915	45
5	2880	45
6	6798	45

Stop Event

1×	node limit

Counts

3 → 251

Calls

Call 1

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

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1950×	`rational.json-simplify-35`
1158×	`rational.json-simplify-46`
1156×	`rational.json-simplify-2`
1134×	`rational.json-simplify-49`
998×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	4967
1	951	4889
2	2822	4757
3	7322	4757

Stop Event

1×	node limit

Counts

323 → 192

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

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

eval1.1s (5.4%)

Compiler: Compiled 5498 to 3883 computations (29.4% saved)

prune912.0ms (4.3%)

Pruning

43 alts after pruning (33 fresh and 10 done)

	Pruned	Kept	Total
New	478	28	506
Fresh	2	5	7
Picked	0	1	1
Done	1	9	10
Total	481	43	524

Error

0.3b

Counts

524 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	52.8b	(/.f64 (/.f64 (/.f64 (/.f64 x x) (.f64 (/.f64 2 eps) (.f64 x (/.f64 4 eps)))) 1/4) eps)
	51.9b	(/.f64 (/.f64 (/.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 4 eps)) 1/4) eps)
	49.3b	(/.f64 (/.f64 (/.f64 x 1/8) eps) (.f64 (.f64 x (/.f64 4 eps)) (*.f64 x (/.f64 4 eps))))
	53.0b	(/.f64 (/.f64 (.f64 x (/.f64 2 eps)) 2) (.f64 x (*.f64 (/.f64 (/.f64 x eps) eps) 2)))
	53.0b	(/.f64 (/.f64 x eps) (.f64 2 (.f64 x (/.f64 (/.f64 x eps) eps))))
	36.2b	(/.f64 (/.f64 1 x) (/.f64 2 eps))
▶	49.0b	(/.f64 (.f64 x (/.f64 2 eps)) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	37.4b	(/.f64 eps (/.f64 (.f64 4 (.f64 x x)) (+.f64 x x)))
	54.8b	(/.f64 1 (/.f64 (/.f64 (.f64 eps 1/2) (/.f64 1 x)) (.f64 (.f64 eps 1/2) (.f64 eps 1/2))))
	36.3b	(/.f64 1 (/.f64 (/.f64 x -1/2) (/.f64 -2 (/.f64 2 eps))))
	36.3b	(/.f64 1 (/.f64 (/.f64 4 (/.f64 -1 x)) (*.f64 2 (neg.f64 eps))))
	36.3b	(/.f64 1 (/.f64 (/.f64 2 eps) (/.f64 1 x)))
	43.5b	(/.f64 1 (/.f64 (.f64 x (+.f64 x x)) (.f64 2 (/.f64 x (/.f64 2 eps)))))
	43.5b	(/.f64 1 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 eps))))
	53.6b	(/.f64 1 (/.f64 eps (.f64 (.f64 2 (/.f64 1 x)) (.f64 (.f64 eps 1/2) (*.f64 eps 1/2)))))
▶	36.2b	(/.f64 1 (/.f64 2 (/.f64 eps x)))
	36.3b	(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 2 eps))))
▶	37.3b	(/.f64 1 (+.f64 -1 (-.f64 1 (/.f64 x (/.f64 eps -2)))))
✓	36.3b	(/.f64 1 (*.f64 x (/.f64 2 eps)))
✓	36.2b	(/.f64 1/2 (/.f64 x eps))
	60.8b	(-.f64 (+.f64 (*.f64 eps (/.f64 1/2 x)) -1) -1)
✓	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
	60.7b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	23.7b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	26.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.2b	(-.f64 x x)
	60.8b	(+.f64 (+.f64 1 (+.f64 (+.f64 (*.f64 eps (/.f64 1/2 x)) 3) -3)) -1)
✓	60.8b	(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
	61.0b	(+.f64 (.f64 (/.f64 1/2 x) (.f64 eps (+.f64 1 (*.f64 x (/.f64 2 eps))))) -1)
✓	39.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
▶	43.4b	(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))
	52.1b	(.f64 (/.f64 4 eps) (/.f64 x (.f64 (.f64 x (/.f64 2 eps)) (.f64 x (/.f64 4 eps)))))
	52.1b	(.f64 (/.f64 2 eps) (/.f64 x (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x))))
	51.9b	(.f64 (/.f64 2 eps) (/.f64 eps (.f64 x (/.f64 4 eps))))
	36.3b	(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1/2 x))
▶	36.2b	(*.f64 (/.f64 1/2 x) eps)
	37.7b	(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (.f64 x x)) (.f64 eps 1/2)))
	54.1b	(.f64 x (/.f64 (/.f64 2 eps) (.f64 (/.f64 x (.f64 eps eps)) (.f64 x 4))))
	37.6b	(.f64 eps (.f64 (+.f64 x x) (/.f64 1/4 (*.f64 x x))))
	37.5b	(.f64 8 (.f64 (/.f64 x (.f64 x (/.f64 x 1/8))) (.f64 eps 1/2)))
✓	36.1b	(*.f64 1/2 (/.f64 eps x))
✓	26.5b	(neg.f64 (sqrt.f64 (neg.f64 eps)))
	61.7b	x

Compiler

Compiled 1015 to 737 computations (27.4% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite191.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-simplify-2`
1226×	`rational.json-1`
1226×	`rational.json-2`
1226×	`rational.json-4`
1226×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	78	26
2	226	26
3	585	26
4	1736	26
5	4279	26

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify536.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1958×	`rational.json-simplify-35`
1414×	`rational.json-simplify-53`
946×	`rational.json-simplify-41`
900×	`rational.json-simplify-43`
790×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2362
1	461	2362
2	1025	2248
3	2443	2248
4	4583	2248

Stop Event

1×	node limit

Counts

170 → 131

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational.json-1`
1366×	`rational.json-2`
1366×	`rational.json-4`
1366×	`rational.json-3`
1338×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	116	13
3	282	13
4	647	13
5	2174	13
6	5503	13

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1968×	`rational.json-simplify-35`
1318×	`rational.json-simplify-44`
1132×	`rational.json-simplify-61`
1068×	`rational.json-simplify-47`
882×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	1611
1	712	1607
2	2177	1579
3	6789	1579

Stop Event

1×	node limit

Counts

109 → 95

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 x (/.f64 eps -2)))
✓	0.0b	(/.f64 x (/.f64 eps -2))
✓	0.2b	(/.f64 1 (+.f64 -1 (-.f64 1 (/.f64 x (/.f64 eps -2)))))
✓	3.5b	(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 eps -2))))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series2.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-1`
1324×	`rational.json-2`
1324×	`rational.json-4`
1324×	`rational.json-3`
1310×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	88
1	98	88
2	260	76
3	675	68
4	2015	68
5	5032	62

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational.json-simplify-35`
1342×	`rational.json-simplify-51`
796×	`rational.json-simplify-49`
758×	`rational.json-simplify-1`
714×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	2977
1	355	2977
2	954	2977
3	3703	2977
4	7865	2977

Stop Event

1×	node limit

Counts

211 → 126

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1/8 x) x)
✓	33.8b	(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series149.0ms (0.7%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
148.0ms	x	@	inf	(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))
0.0ms	x	@	0	(/.f64 (/.f64 1/8 x) x)
0.0ms	x	@	inf	(/.f64 (/.f64 1/8 x) x)
0.0ms	x	@	0	(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))
0.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))

rewrite703.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`rational.json-1`
1320×	`rational.json-2`
1320×	`rational.json-4`
1320×	`rational.json-3`
1318×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	88	50
2	229	44
3	691	38
4	3315	26

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))
(/.f64 (/.f64 1/8 x) x)

Outputs

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

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-35`
1232×	`rational.json-simplify-51`
1210×	`rational.json-simplify-49`
878×	`rational.json-simplify-46`
736×	`rational.json-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1399
1	454	1375
2	1513	1363
3	4734	1363

Stop Event

1×	node limit

Counts

97 → 69

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x))
	0.2b	(*.f64 x (/.f64 2 eps))
✓	0.5b	(*.f64 x (/.f64 4 eps))
✓	18.7b	(/.f64 (.f64 x (/.f64 2 eps)) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))

Compiler

Compiled 49 to 27 computations (44.9% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(/.f64 (.f64 x (/.f64 2 eps)) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))
1.0ms	x	@	0	(/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x))
0.0ms	eps	@	0	(/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x))
0.0ms	x	@	inf	(/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x))
0.0ms	eps	@	inf	(/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`rational.json-1`
1838×	`rational.json-2`
1838×	`rational.json-4`
1838×	`rational.json-3`
1702×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	104	81
2	370	69
3	1984	69
4	6416	69

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(/.f64 (.f64 x (/.f64 2 eps)) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))
(*.f64 x (/.f64 4 eps))
(/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x))

Outputs

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

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

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

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-2`
1152×	`rational.json-simplify-44`
1048×	`rational.json-simplify-47`
1016×	`rational.json-simplify-61`
846×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2875
1	343	2875
2	997	2635
3	5109	2599
4	7264	2599

Stop Event

1×	node limit

Counts

139 → 89

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

Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
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(.f64 x (.f64 (/.f64 x eps) (/.f64 4 eps)))
(.f64 x (.f64 x (/.f64 4 (*.f64 eps eps))))
(pow.f64 (.f64 x (.f64 (/.f64 4 eps) (/.f64 x eps))) 1)
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(.f64 x (.f64 x (/.f64 4 (*.f64 eps eps))))

eval2.8s (13.3%)

Compiler: Compiled 9769 to 6516 computations (33.3% saved)

prune1.2s (5.8%)

Pruning

71 alts after pruning (57 fresh and 14 done)

	Pruned	Kept	Total
New	664	33	697
Fresh	4	24	28
Picked	1	0	1
Done	0	14	14
Total	669	71	740

Error

0.3b

Counts

740 → 71

Alt Table

Click to see full alt table

Status	Error	Program
	52.8b	(/.f64 (/.f64 (/.f64 (/.f64 x x) (.f64 (/.f64 2 eps) (.f64 x (/.f64 4 eps)))) 1/4) eps)
	55.6b	(/.f64 (/.f64 (/.f64 (.f64 eps 1/2) (/.f64 1 x)) (.f64 (.f64 eps 1/2) (.f64 eps 1/2))) (/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	51.9b	(/.f64 (/.f64 (/.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 4 eps)) 1/4) eps)
	49.0b	(/.f64 (/.f64 (/.f64 x eps) 1/2) (/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	49.3b	(/.f64 (/.f64 (/.f64 x 1/8) eps) (.f64 (.f64 x (/.f64 4 eps)) (*.f64 x (/.f64 4 eps))))
	49.0b	(/.f64 (/.f64 (/.f64 2 eps) (/.f64 1 x)) (/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	53.0b	(/.f64 (/.f64 (.f64 x (/.f64 2 eps)) 2) (.f64 x (*.f64 (/.f64 (/.f64 x eps) eps) 2)))
	42.2b	(/.f64 (/.f64 (.f64 x (.f64 eps 4)) x) (*.f64 x 8))
	51.8b	(/.f64 (/.f64 (.f64 x x) (/.f64 x (/.f64 2 eps))) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	53.0b	(/.f64 (/.f64 x eps) (.f64 2 (.f64 x (/.f64 (/.f64 x eps) eps))))
	55.5b	(/.f64 (/.f64 eps (.f64 (.f64 2 (/.f64 1 x)) (.f64 (.f64 eps 1/2) (.f64 eps 1/2)))) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	36.2b	(/.f64 (/.f64 eps 2) (/.f64 1 (/.f64 1 x)))
	36.2b	(/.f64 (/.f64 1 x) (/.f64 2 eps))
	42.3b	(/.f64 (/.f64 1/8 x) (/.f64 x (.f64 x (.f64 eps 4))))
	49.0b	(/.f64 (/.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 2 eps))) (/.f64 (*.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	49.0b	(/.f64 (/.f64 -4 (.f64 (/.f64 1 x) (neg.f64 (+.f64 eps eps)))) (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x)))
	37.2b	(/.f64 (+.f64 x x) (.f64 (.f64 x 4) (/.f64 x eps)))
	49.0b	(/.f64 (*.f64 x (/.f64 2 eps)) (/.f64 (/.f64 x (/.f64 eps 4)) (/.f64 eps x)))
	49.0b	(/.f64 (*.f64 x (/.f64 2 eps)) (/.f64 (/.f64 1 (/.f64 (/.f64 eps 4) x)) (/.f64 eps x)))
	53.0b	(/.f64 (.f64 x (/.f64 2 eps)) (.f64 (/.f64 (/.f64 4 eps) (*.f64 2 (/.f64 eps x))) (+.f64 x x)))
	49.4b	(/.f64 (.f64 x (/.f64 2 eps)) (.f64 (/.f64 4 eps) (*.f64 x (/.f64 x eps))))
	53.0b	(/.f64 (.f64 x (/.f64 2 eps)) (.f64 (/.f64 1 (.f64 2 (/.f64 eps (.f64 x (/.f64 4 eps))))) (+.f64 x x)))
	43.3b	(/.f64 (.f64 x (.f64 eps 8)) (.f64 x (.f64 x 16)))
	37.4b	(/.f64 eps (/.f64 (.f64 x (.f64 x 4)) (+.f64 x x)))
	54.8b	(/.f64 1 (/.f64 (/.f64 (.f64 eps 1/2) (/.f64 1 x)) (.f64 (.f64 eps 1/2) (.f64 eps 1/2))))
	43.3b	(/.f64 1 (/.f64 (/.f64 x (/.f64 1/8 x)) (.f64 x (.f64 eps 4))))
	36.3b	(/.f64 1 (/.f64 (/.f64 x -1/2) (/.f64 -2 (/.f64 2 eps))))
	36.3b	(/.f64 1 (/.f64 (/.f64 2 eps) (/.f64 1 x)))
	43.5b	(/.f64 1 (/.f64 (.f64 x (+.f64 x x)) (.f64 2 (/.f64 x (/.f64 2 eps)))))
	43.5b	(/.f64 1 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 eps))))
	53.6b	(/.f64 1 (/.f64 eps (.f64 (.f64 2 (/.f64 1 x)) (.f64 (.f64 eps 1/2) (*.f64 eps 1/2)))))
✓	36.2b	(/.f64 1 (/.f64 2 (/.f64 eps x)))
	36.3b	(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 2 eps))))
✓	37.3b	(/.f64 1 (+.f64 -1 (-.f64 1 (/.f64 x (/.f64 eps -2)))))
	37.4b	(/.f64 1 (+.f64 -1 (+.f64 -2 (-.f64 (-.f64 (neg.f64 (*.f64 x (/.f64 -2 eps))) -2) -1))))
	36.3b	(/.f64 1 (*.f64 (/.f64 2 eps) (/.f64 1 (/.f64 1 x))))
✓	36.3b	(/.f64 1 (*.f64 x (/.f64 2 eps)))
✓	36.2b	(/.f64 1/2 (/.f64 x eps))
	60.8b	(-.f64 (+.f64 (*.f64 eps (/.f64 1/2 x)) -1) -1)
✓	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
	60.7b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	23.7b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	26.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.2b	(-.f64 x x)
	60.8b	(+.f64 (+.f64 1 (+.f64 (+.f64 (*.f64 eps (/.f64 1/2 x)) 3) -3)) -1)
✓	60.8b	(+.f64 (+.f64 1 (*.f64 eps (/.f64 1/2 x))) -1)
	61.0b	(+.f64 (.f64 (/.f64 1/2 x) (.f64 eps (+.f64 1 (*.f64 x (/.f64 2 eps))))) -1)
✓	39.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
✓	43.4b	(.f64 (/.f64 (/.f64 1/8 x) x) (.f64 (*.f64 1/2 eps) (/.f64 x 1/8)))
	48.5b	(.f64 (/.f64 x (.f64 eps 1/2)) (/.f64 eps (.f64 x (.f64 x (/.f64 4 eps)))))
	48.2b	(.f64 (/.f64 x eps) (/.f64 (/.f64 eps x) (.f64 x (/.f64 2 eps))))
	49.4b	(.f64 (/.f64 x eps) (/.f64 2 (.f64 (/.f64 4 eps) (/.f64 x (/.f64 eps x)))))
	36.5b	(.f64 (/.f64 eps (/.f64 1 (/.f64 2 eps))) (/.f64 1 (.f64 x (/.f64 4 eps))))
	51.9b	(.f64 (/.f64 eps (.f64 x (/.f64 4 eps))) (/.f64 2 eps))
	52.1b	(.f64 (/.f64 4 eps) (/.f64 x (.f64 (.f64 x (/.f64 2 eps)) (.f64 x (/.f64 4 eps)))))
	52.1b	(.f64 (/.f64 2 eps) (/.f64 x (/.f64 (.f64 x (/.f64 4 eps)) (/.f64 eps x))))
	36.3b	(*.f64 (/.f64 1 (/.f64 2 eps)) (/.f64 1 x))
	36.5b	(.f64 (/.f64 1 (.f64 x (/.f64 eps (/.f64 2 (/.f64 4 eps))))) eps)
✓	36.2b	(*.f64 (/.f64 1/2 x) eps)
	37.5b	(*.f64 (+.f64 x x) (/.f64 eps (/.f64 x (/.f64 1/4 x))))
	37.7b	(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (.f64 x x)) (.f64 eps 1/2)))
	48.6b	(.f64 (.f64 (/.f64 2 eps) (/.f64 eps (.f64 x (.f64 x (/.f64 4 eps))))) x)
	48.5b	(*.f64 x (/.f64 (/.f64 (/.f64 eps (+.f64 x x)) (/.f64 x eps)) eps))
	54.1b	(.f64 x (/.f64 (/.f64 2 eps) (.f64 (/.f64 x (.f64 eps eps)) (.f64 x 4))))
	37.6b	(.f64 x (/.f64 (.f64 eps 4) (/.f64 (/.f64 2 (/.f64 1/8 x)) (/.f64 2 x))))
	36.3b	(*.f64 eps (/.f64 (/.f64 2 eps) (/.f64 x (/.f64 eps 4))))
	37.6b	(.f64 eps (.f64 (+.f64 x x) (/.f64 1/4 (*.f64 x x))))
	37.5b	(.f64 8 (.f64 (/.f64 x (.f64 x (/.f64 x 1/8))) (.f64 eps 1/2)))
✓	36.1b	(*.f64 1/2 (/.f64 eps x))
✓	26.5b	(neg.f64 (sqrt.f64 (neg.f64 eps)))
	61.7b	x

Compiler

Compiled 1039 to 735 computations (29.3% saved)

regimes1.7s (8.2%)

Counts

80 → 2

Calls

Call 1

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

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

Calls

3 calls:

898.0ms	x
118.0ms	eps
64.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
5.8b	2	`x`
10.0b	4	`eps`
1.4b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 1005 to 619 computations (38.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.7501779956444874e-152	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes244.0ms (1.1%)

Counts

78 → 2

Calls

Call 1

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

127.0ms	eps
94.0ms	x

Results

Error	Segments	Branch
6.9b	2	`x`
11.1b	4	`eps`

Compiler

Compiled 972 to 600 computations (38.3% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	5.86065703862941e-93	2.7278520491436594e-92

Results

6.0ms	69×	body	256	valid
4.0ms	27×	body	512	valid
1.0ms	2×	body	256	invalid

Compiler

Compiled 111 to 82 computations (26.1% saved)

regimes235.0ms (1.1%)

Counts

77 → 2

Calls

Call 1

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

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

Calls

2 calls:

123.0ms	eps
90.0ms	x

Results

Error	Segments	Branch
7.0b	2	`x`
11.2b	4	`eps`

Compiler

Compiled 967 to 599 computations (38.1% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	5.86065703862941e-93	2.7278520491436594e-92

Results

6.0ms	32×	body	512	valid
6.0ms	64×	body	256	valid
1.0ms	10×	body	256	invalid

Compiler

Compiled 105 to 82 computations (21.9% saved)

regimes86.0ms (0.4%)

Counts

76 → 1

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	eps
31.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
36.1b	1	`eps`

Compiler

Compiled 963 to 597 computations (38% saved)

regimes8.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x 2)
(-.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 9 computations (40% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x 2)

Outputs
x

Calls

2 calls:

4.0ms	eps
3.0ms	x

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	160

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 4462230907270283/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 2084331542211777/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (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))) -4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 4462230907270283/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 2084331542211777/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (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 72 to 44 computations (38.9% saved)

soundness0.0ms (0%)

end38.0ms (0.2%)

Compiler: Compiled 62 to 29 computations (53.2% saved)

Details

analyze19.0ms (0.1%)

sample4.3s (20.2%)

preprocess149.0ms (0.7%)

simplify138.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0%)

series5.0ms (0%)

rewrite215.0ms (1%)

simplify734.0ms (3.5%)

eval46.0ms (0.2%)

prune76.0ms (0.4%)

localize5.0ms (0%)

localize3.0ms (0%)

localize5.0ms (0%)

localize10.0ms (0%)

series160.0ms (0.8%)

rewrite670.0ms (3.2%)

simplify81.0ms (0.4%)

localize21.0ms (0.1%)

series5.0ms (0%)

rewrite176.0ms (0.8%)

simplify883.0ms (4.2%)

eval47.0ms (0.2%)

prune222.0ms (1%)

localize836.0ms (3.9%)

series2.0ms (0%)

rewrite116.0ms (0.5%)

simplify416.0ms (2%)

localize3.0ms (0%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite77.0ms (0.4%)

simplify104.0ms (0.5%)

localize9.0ms (0%)

series2.0ms (0%)

rewrite94.0ms (0.4%)

simplify247.0ms (1.2%)

localize294.0ms (1.4%)

series1.0ms (0%)

rewrite112.0ms (0.5%)

simplify134.0ms (0.6%)

eval1.1s (5.4%)

prune912.0ms (4.3%)

localize7.0ms (0%)

series1.0ms (0%)

rewrite191.0ms (0.9%)

simplify536.0ms (2.5%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite87.0ms (0.4%)

simplify79.0ms (0.4%)

localize16.0ms (0.1%)

series2.0ms (0%)

rewrite87.0ms (0.4%)

simplify129.0ms (0.6%)

localize15.0ms (0.1%)

series149.0ms (0.7%)

rewrite703.0ms (3.3%)

simplify66.0ms (0.3%)

localize18.0ms (0.1%)

series6.0ms (0%)

rewrite82.0ms (0.4%)

simplify111.0ms (0.5%)

eval2.8s (13.3%)

prune1.2s (5.8%)

regimes1.7s (8.2%)

bsearch1.0ms (0%)

regimes244.0ms (1.1%)

bsearch13.0ms (0.1%)

regimes235.0ms (1.1%)

bsearch14.0ms (0.1%)

regimes86.0ms (0.4%)

regimes8.0ms (0%)

regimes8.0ms (0%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end38.0ms (0.2%)

Profiling