Details

analyze33.0ms (0.3%)

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)

sample3.3s (25.5%)

Results

1.5s	5934×	body	256	valid
865.0ms	1148×	body	1024	valid
685.0ms	1135×	body	512	valid
123.0ms	39×	body	2048	valid
23.0ms	152×	body	256	invalid

Bogosity

preprocess29.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

8×	`rational.json-simplify-54`
8×	`rational.json-simplify-55`
4×	`rational.json-simplify-73`
4×	`rational.json-simplify-71`
4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	15	46
2	19	46
3	23	46
4	31	46
5	31	46
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	10	23
2	12	23
3	14	23
4	18	23
5	18	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (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

22.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.5b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	3.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series11.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`rational.json-5`
1972×	`rational.json-1`
1972×	`rational.json-2`
1972×	`rational.json-4`
1972×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	75	53
2	264	53
3	975	53
4	3887	53

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify282.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational.json-simplify-49`
972×	`rational.json-simplify-2`
932×	`rational.json-simplify-41`
842×	`rational.json-simplify-54`
744×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2947
1	368	2925
2	812	2829
3	2136	2829
4	5961	2829

Stop Event

1×	node limit

Counts

103 → 137

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 (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 -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 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 0)
(+.f64 0 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 -1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) 1)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) -1)
(.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (.f64 (-.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 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) -1)
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(+.f64 0 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)
(+.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 (-.f64 -1 (-.f64 eps (*.f64 x x))) 1)
(.f64 (-.f64 (.f64 x x) eps) 1)
(.f64 (-.f64 (.f64 x x) eps) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))
(.f64 1 (-.f64 (.f64 x x) eps))
(.f64 (-.f64 eps (.f64 x x)) -1)
(.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) 1))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) eps) 1)
(/.f64 (-.f64 (.f64 x x) eps) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 eps (*.f64 x x)) -1)
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(neg.f64 (-.f64 eps (*.f64 x x)))

Outputs
(.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 -1 (sqrt.f64 (neg.f64 eps)))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (*.f64 -1 (sqrt.f64 (neg.f64 eps))) x)
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1 (sqrt.f64 (neg.f64 eps))) x))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 x (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 eps))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 eps)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 eps))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 x (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 (+.f64 x (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 eps))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 (+.f64 x (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 eps))))) (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 (pow.f64 eps 2) 2)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.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 eps x)) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7)) (/.f64 eps x))) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 eps x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 x 2) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 x 2) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (.f64 -1/2 (/.f64 eps x))))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(+.f64 (.f64 x 2) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
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(-.f64 (*.f64 x x) eps)
(.f64 (-.f64 eps (.f64 x x)) -1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) 1))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 (*.f64 x x) eps) 1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 (.f64 x x) eps) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 eps (*.f64 x x)) -1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(neg.f64 (-.f64 eps (*.f64 x x)))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)

eval119.0ms (0.9%)

Compiler: Compiled 2940 to 1698 computations (42.2% saved)

prune167.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	9	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Error

0.3b

Counts

138 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	59.6b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	22.5b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	38.3b	(-.f64 x (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
	25.5b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.3b	(-.f64 x x)
	41.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
▶	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	61.9b	(*.f64 x 2)
▶	37.4b	(*.f64 1/2 (/.f64 eps x))
▶	25.3b	(neg.f64 (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 234 to 130 computations (44.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.2b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	0.3b	(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	3.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 82 to 13 computations (84.1% saved)

series17.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite247.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-47`
764×	`rational.json-simplify-55`
610×	`rational.json-5`
608×	`exponential.json-3`
608×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	165
1	110	103
2	355	103
3	1310	103
4	5781	103

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Inputs

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

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

Outputs
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Outputs

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

simplify390.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1968×	`rational.json-simplify-47`
1018×	`rational.json-simplify-1`
1016×	`rational.json-simplify-104`
978×	`rational.json-simplify-55`
960×	`rational.json-simplify-76`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	360	6148
1	750	5840
2	1307	5742
3	3539	5598
4	7023	5598

Stop Event

1×	node limit

Counts

112 → 201

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 8))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 -2 eps) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 -1/4 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))))))
(.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 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (sqrt.f64 -1)))) (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (.f64 -1 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))))
(*.f64 2 (/.f64 x eps))
(-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 eps) (.f64 1/4 eps)) (pow.f64 x 3))) (.f64 2 (/.f64 x eps))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 eps) (.f64 1/4 eps)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 x eps)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 eps (+.f64 (.f64 -1/8 eps) (.f64 1/4 eps)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 eps 2))) (.f64 -1/16 (pow.f64 eps 2)))) (pow.f64 x 5))))) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))))
(*.f64 2 (/.f64 x eps))
(-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (.f64 2 (/.f64 x eps))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 2 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) x)))) (+.f64 (.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (.f64 2 (/.f64 x eps)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) 0)
(+.f64 0 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) 1)
(/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) 1)
(/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(pow.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (neg.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fabs.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2) (.f64 (fabs.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 0)
(+.f64 1 (-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) -1)))
(+.f64 0 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) -1)) 1)
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 0)
(-.f64 0 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)) 1)
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) -1)
(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 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(+.f64 0 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(.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 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (/.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(neg.f64 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))

Outputs
(*.f64 eps (pow.f64 (sqrt.f64 -1) 2))
(*.f64 eps 1)
eps
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 eps 1) (.f64 -2 (.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 eps)))))
(+.f64 eps (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 eps)))) (+.f64 (.f64 eps 1) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 eps (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 eps 1) (.f64 -2 (.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 eps))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (+.f64 eps (.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (neg.f64 (sqrt.f64 (/.f64 1 eps))))) (.f64 2 (pow.f64 x 2))))
(+.f64 (+.f64 eps (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (neg.f64 (sqrt.f64 (/.f64 1 eps))))))
(+.f64 eps (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 8))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps 4) 1/16) (.f64 1/64 (pow.f64 (pow.f64 eps 2) 2)))) (pow.f64 x 8))))) (*.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps 4) 1/16) (.f64 1/64 (pow.f64 eps 4)))) (pow.f64 x 8)))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (*.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8))))) (*.f64 1/64 (+.f64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8)) (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)))))
(*.f64 4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 4)
(+.f64 (.f64 -2 eps) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/2)) (.f64 eps -2)))
(+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 eps -2)))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 eps -2) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 -1/4 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/4)))) (.f64 eps -2)))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/8) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4)) (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2)))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/8) (+.f64 (.f64 eps -2) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2)) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/8)))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16))))
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(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 0)
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 1 (-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) -1)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 0 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) -1)) 1)
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 0)
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 0 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)) 1)
(-.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 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) -1)
(-.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 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 0 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 0 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.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 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (/.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

localize6.0ms (0%)

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

localize9.0ms (0.1%)

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

localize9.0ms (0.1%)

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (*.f64 x x) eps))
✓	0.1b	(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
✓	7.2b	(-.f64 x (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
✓	19.5b	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 92 to 20 computations (78.3% saved)

series9.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

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

rewrite173.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-47`
762×	`rational.json-simplify-55`
610×	`rational.json-5`
608×	`exponential.json-3`
608×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	170
1	110	86
2	357	86
3	1313	86
4	5787	86

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

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

simplify195.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational.json-simplify-47`
1074×	`rational.json-simplify-55`
1058×	`rational.json-simplify-104`
984×	`rational.json-simplify-76`
796×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	289	5711
1	599	5265
2	1043	5157
3	3614	5145

Stop Event

1×	node limit

Counts

177 → 169

Calls

Call 1

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

Outputs
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(.f64 -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 x (*.f64 -1 (sqrt.f64 (neg.f64 eps))))
(+.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 eps))) (+.f64 x (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (neg.f64 (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 eps))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 x (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(+.f64 x (+.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (neg.f64 (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (+.f64 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 eps)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 (pow.f64 eps 2) 2)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7)) (/.f64 eps x)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 eps x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 x 2) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 x 2) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (.f64 -1/2 (/.f64 eps x))))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (.f64 1/2 (/.f64 (.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 (.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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (.f64 (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))))
(pow.f64 eps 2)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 2))
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(/.f64 1 (-.f64 (*.f64 x x) eps))
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eval588.0ms (4.6%)

Compiler: Compiled 20066 to 8853 computations (55.9% saved)

prune547.0ms (4.3%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	547	3	550
Fresh	0	4	4
Picked	0	1	1
Done	0	5	5
Total	547	13	560

Error

0.3b

Counts

560 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.6b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	22.5b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	38.3b	(-.f64 x (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
▶	39.2b	(-.f64 x (sqrt.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
▶	25.5b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.3b	(-.f64 x x)
	41.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
✓	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
	24.0b	(.f64 (.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	61.9b	(*.f64 x 2)
✓	37.4b	(*.f64 1/2 (/.f64 eps x))
✓	25.3b	(neg.f64 (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 454 to 196 computations (56.8% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	0.3b	(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.3b	(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
	3.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 167 to 24 computations (85.6% saved)

series3.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite350.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`rational.json-simplify-58`
782×	`rational.json-simplify-55`
650×	`rational.json-simplify-43`
636×	`rational.json-5`
634×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	113
1	121	51
2	396	51
3	1393	51
4	6199	51

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs

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

Outputs

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

simplify349.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1654×	`rational.json-simplify-47`
1272×	`rational.json-simplify-111`
1050×	`rational.json-simplify-1`
1040×	`rational.json-simplify-2`
818×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	3708
1	487	3586
2	946	3550
3	1925	3460
4	4851	3460

Stop Event

1×	node limit

Counts

64 → 101

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 8))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 -2 eps) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 -1/4 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))))))
(+.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(+.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(pow.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (fabs.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (neg.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 1 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.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)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2) (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (-.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))

Outputs
(*.f64 eps (pow.f64 (sqrt.f64 -1) 2))
(*.f64 eps 1)
eps
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 eps 1) (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))))
(+.f64 eps (.f64 -2 (.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 -1) x))))
(+.f64 eps (.f64 -2 (.f64 x (sqrt.f64 (*.f64 -1 eps)))))
(+.f64 eps (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 eps 1) (*.f64 2 (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x)))))
(+.f64 eps (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (.f64 -1 eps)))) (.f64 2 (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 eps 1) (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (+.f64 (+.f64 eps (.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 -2 (.f64 x (sqrt.f64 (.f64 -1 eps)))) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 eps (*.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 eps (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (+.f64 eps (.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 2 (pow.f64 x 2))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 8))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps 4) 1/16) (.f64 1/64 (pow.f64 (pow.f64 eps 2) 2)))) (pow.f64 x 8)))) (*.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps 4) 1/16) (*.f64 1/64 (pow.f64 eps 4)))) (pow.f64 x 8)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8)))) (*.f64 1/64 (+.f64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8)) (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)) (*.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8))) (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64))) (*.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8)))))
(*.f64 4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 4)
(+.f64 (.f64 -2 eps) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 eps -2) (+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/2))))
(+.f64 (.f64 eps -2) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 eps -2) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 -1/4 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/4)))) (.f64 eps -2)))
(+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 eps -2) (+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/8) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2)) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/8)))
(+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) -1/8) (+.f64 (.f64 (pow.f64 x 2) 4) (+.f64 (.f64 eps -2) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) -1/4))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2)))))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64))))
(+.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 0 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(pow.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(neg.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
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(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (-.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	3.6b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

12 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`rational.json-5`
1692×	`exponential.json-3`
1692×	`rational.json-1`
1692×	`rational.json-2`
1692×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	77	44
2	261	36
3	1019	36
4	3605	36

Stop Event

1×	node limit

Counts

2 → 32

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

simplify247.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational.json-simplify-58`
940×	`rational.json-simplify-47`
848×	`rational.json-simplify-2`
646×	`rational.json-simplify-49`
612×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1208
1	115	1184
2	304	1184
3	1208	1184
4	3944	1184
5	6366	1184

Stop Event

1×	node limit

Counts

62 → 57

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

localize9.0ms (0.1%)

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)

series4.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`rational.json-1`
1576×	`rational.json-2`
1576×	`rational.json-3`
1574×	`rational.json-5`
1572×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	70	15
2	244	15
3	846	15
4	3197	15

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify177.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-47`
1220×	`rational.json-simplify-49`
1004×	`rational.json-simplify-2`
872×	`rational.json-simplify-50`
758×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	512
1	73	472
2	238	472
3	1347	472
4	5563	472

Stop Event

1×	node limit

Counts

32 → 27

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 (-.f64 x (sqrt.f64 (neg.f64 eps))) 0)
(+.f64 0 (-.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 1 (-.f64 x (-.f64 (sqrt.f64 (neg.f64 eps)) -1)))
(+.f64 (-.f64 x (-.f64 (sqrt.f64 (neg.f64 eps)) -1)) 1)
(*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps))))
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
(*.f64 -1 (-.f64 (sqrt.f64 (neg.f64 eps)) x))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) -1)
(.f64 (.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))))
(.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))) (.f64 (.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) -1)
(pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(neg.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x))

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

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
✓	9.1b	(-.f64 x (sqrt.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
✓	19.5b	(.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
✓	19.7b	(.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 195 to 63 computations (67.7% saved)

series6.0ms (0%)

Counts

4 → 88

Calls

24 calls:

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

rewrite185.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`rational.json-simplify-55`
814×	`rational.json-5`
812×	`exponential.json-3`
812×	`rational.json-1`
812×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	344
1	138	182
2	467	98
3	1828	98
4	7515	98

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify161.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1710×	`rational.json-simplify-47`
1290×	`rational.json-simplify-2`
1166×	`rational.json-simplify-49`
914×	`rational.json-simplify-50`
764×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	332	7230
1	675	6804
2	1248	6702
3	3126	6680

Stop Event

1×	node limit

Counts

170 → 201

Calls

Call 1

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

Outputs
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 2) (pow.f64 eps 2)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 2) (pow.f64 eps 2))))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8))))
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 2) (pow.f64 eps 2)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 2) (pow.f64 eps 2))))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 2) (pow.f64 eps 2)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 2) (pow.f64 eps 2))))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 eps))
(.f64 -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 x (*.f64 -1 (sqrt.f64 (neg.f64 eps))))
(+.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 eps))) (+.f64 x (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (+.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 x (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) 1/8)))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))))))
(+.f64 x (+.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 (pow.f64 eps 2) 2)) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7)))))
(+.f64 (+.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 1/2 (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
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(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))))) (/.f64 1 (fabs.f64 (-.f64 eps (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (neg.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (fabs.f64 (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (fabs.f64 (/.f64 1 (-.f64 eps (.f64 x x)))) (neg.f64 (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) 2) (.f64 (fabs.f64 (/.f64 1 (-.f64 eps (*.f64 x x)))) 2))))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 2 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 2 (fabs.f64 (/.f64 1 (-.f64 eps (*.f64 x x))))))))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 2 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 2 (fabs.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 eps (.f64 x x)))))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 eps (.f64 x x))) (/.f64 1 (-.f64 eps (.f64 x x)))))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 eps (*.f64 x x))))))
(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (neg.f64 (fabs.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))

eval499.0ms (3.9%)

Compiler: Compiled 40222 to 15430 computations (61.6% saved)

prune227.0ms (1.8%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	815	11	826
Fresh	0	2	2
Picked	0	1	1
Done	1	9	10
Total	816	23	839

Error

0.3b

Counts

839 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.6b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
▶	60.6b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
	59.8b	(-.f64 x (.f64 (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) (.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
✓	22.5b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	38.3b	(-.f64 x (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
✓	39.2b	(-.f64 x (sqrt.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
✓	25.5b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.3b	(-.f64 x x)
▶	60.9b	(+.f64 (-.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 -1 x))
	60.9b	(+.f64 (-.f64 -1 (*.f64 -1/2 (/.f64 eps x))) 1)
	41.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
	49.0b	(.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) 1/4) (/.f64 1 (.f64 1/2 (/.f64 eps x))))) (/.f64 (.f64 (/.f64 eps x) 1/4) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))))
	37.5b	(.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) 1/4) (/.f64 1 (.f64 1/2 (/.f64 eps x)))))
▶	56.3b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))))
✓	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
▶	24.0b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
▶	48.5b	(.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
	24.0b	(.f64 (.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	59.0b	(.f64 (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (/.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4))))
✓	37.4b	(*.f64 1/2 (/.f64 eps x))
✓	25.3b	(neg.f64 (sqrt.f64 (neg.f64 eps)))
	61.8b	x

Compiler

Compiled 919 to 429 computations (53.3% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	0.3b	(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
✓	0.3b	(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
	3.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 292 to 43 computations (85.3% saved)

series3.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite157.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`rational.json-simplify-58`
780×	`rational.json-simplify-55`
708×	`rational.json-simplify-43`
654×	`rational.json-5`
652×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	175
1	143	51
2	484	51
3	1491	51
4	6357	51

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.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))) (-.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))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 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simplify179.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1654×	`rational.json-simplify-47`
1272×	`rational.json-simplify-111`
1050×	`rational.json-simplify-1`
1040×	`rational.json-simplify-2`
818×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	3708
1	487	3586
2	946	3550
3	1925	3460
4	4851	3460

Stop Event

1×	node limit

Counts

64 → 101

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 8))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 -2 eps) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 -1/4 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 x 8))) (.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 2))))))))
(+.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(+.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(pow.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (fabs.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (neg.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (.f64 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 1 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.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)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2) (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(fabs.f64 (-.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))

Outputs
(*.f64 eps (pow.f64 (sqrt.f64 -1) 2))
(*.f64 eps 1)
eps
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 eps 1) (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))))
(+.f64 eps (.f64 -2 (.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 -1) x))))
(+.f64 eps (.f64 -2 (.f64 x (sqrt.f64 (*.f64 -1 eps)))))
(+.f64 eps (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 eps 1) (*.f64 2 (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x)))))
(+.f64 eps (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (.f64 -1 eps)))) (.f64 2 (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 eps 1) (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) x))) (+.f64 (+.f64 eps (.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 -2 (.f64 x (sqrt.f64 (.f64 -1 eps)))) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 eps (*.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 eps (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (+.f64 eps (.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (+.f64 (.f64 -2 (.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 2 (pow.f64 x 2))))
(*.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 8))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps 4) 1/16) (.f64 1/64 (pow.f64 (pow.f64 eps 2) 2)))) (pow.f64 x 8)))) (*.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps 4) 1/16) (*.f64 1/64 (pow.f64 eps 4)))) (pow.f64 x 8)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/16)) (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8)))) (*.f64 1/64 (+.f64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8)) (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64)) (*.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (.f64 (pow.f64 eps 4) 5/64)) (pow.f64 x 8))) (+.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 5/64))) (*.f64 1/64 (/.f64 (pow.f64 eps 5) (pow.f64 x 8)))))
(*.f64 4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 4)
(+.f64 (.f64 -2 eps) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 4) (.f64 eps -2))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
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(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (/.f64 1 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.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)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2) (.f64 (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (neg.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fabs.f64 (-.f64 0 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-5`
1526×	`exponential.json-3`
1526×	`rational.json-1`
1526×	`rational.json-2`
1526×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	66	19
2	219	19
3	804	19
4	3125	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify314.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1056×	`exponential.json-simplify-26`
974×	`rational.json-simplify-49`
934×	`rational.json-simplify-111`
688×	`rational.json-simplify-50`
638×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	745
1	65	745
2	121	745
3	354	745
4	1266	745
5	3959	745
6	7697	745

Stop Event

1×	node limit

Counts

43 → 24

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	2.9b	(+.f64 (-.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 -1 x))

Compiler

Compiled 47 to 26 computations (44.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`rational.json-simplify-2`
624×	`rational.json-simplify-47`
586×	`rational.json-simplify-54`
570×	`rational.json-simplify-58`
546×	`rational.json-5`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	108	56
2	330	56
3	1198	56
4	4590	36

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify196.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-47`
742×	`rational.json-simplify-41`
696×	`rational.json-simplify-2`
618×	`rational.json-simplify-54`
580×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2572
1	303	2476
2	841	2476
3	2734	2312
4	6719	2312

Stop Event

1×	node limit

Counts

116 → 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 -1 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1 x))
(-.f64 1 (-.f64 0 (-.f64 -1 (*.f64 -1/2 (/.f64 eps x)))))
(-.f64 1 (+.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 1 x)))
(-.f64 x (-.f64 x (neg.f64 (*.f64 -1/2 (/.f64 eps x)))))
(-.f64 x (+.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) -1) (+.f64 1 x)))
(-.f64 (+.f64 1 (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) (+.f64 1 x))
(-.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) -1))
(-.f64 -1 (+.f64 x (-.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x))))
(-.f64 (-.f64 -1 x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x)))
(-.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) 0)
(-.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) (-.f64 (-.f64 -1 x) (-.f64 -1 x)))
(-.f64 0 (*.f64 -1/2 (/.f64 eps x)))
(-.f64 0 (+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x))))
(-.f64 0 (+.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x)) (+.f64 1 x)))
(-.f64 (+.f64 1 x) (-.f64 x (-.f64 -1 (*.f64 -1/2 (/.f64 eps x)))))
(-.f64 (+.f64 1 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x)))
(-.f64 (-.f64 x (*.f64 -1/2 (/.f64 eps x))) x)
(-.f64 (-.f64 x (*.f64 -1/2 (/.f64 eps x))) (+.f64 -1 (+.f64 1 x)))
(-.f64 (neg.f64 x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (-.f64 1 (*.f64 -1/2 (/.f64 eps x))) 1)
(-.f64 (-.f64 x (+.f64 1 x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) -1))
(-.f64 (+.f64 (-.f64 -1 x) (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) -1)
(-.f64 (+.f64 x (-.f64 -1 x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) -1))
(-.f64 (-.f64 -1 (*.f64 -1/2 (/.f64 eps x))) -1)
(-.f64 (-.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 -1/2 (/.f64 eps x)))
(-.f64 (-.f64 (+.f64 1 (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) x) 1)
(-.f64 (-.f64 (-.f64 -1 x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) (-.f64 x -2))) 1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 (/.f64 eps x)) (-.f64 x -2))) (-.f64 x -2))
(.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x))))
(.f64 (.f64 -1/2 (/.f64 eps x)) -1)
(.f64 -1 (.f64 -1/2 (/.f64 eps x)))
(.f64 (neg.f64 (.f64 -1/2 (/.f64 eps x))) 1)
(.f64 (neg.f64 (.f64 -1/2 (/.f64 eps x))) (/.f64 (/.f64 eps x) (/.f64 eps x)))
(.f64 (/.f64 (/.f64 eps x) (/.f64 eps x)) (neg.f64 (.f64 -1/2 (/.f64 eps x))))
(.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))))
(.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (/.f64 (/.f64 (/.f64 eps x) (/.f64 eps x)) (neg.f64 (.f64 -1/2 (/.f64 eps x)))))
(.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (/.f64 -1 (.f64 -1/2 (/.f64 eps x))))
(.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
(.f64 (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (/.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4))))
(.f64 (/.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4))))
(.f64 (.f64 (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))) (/.f64 (/.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))))
(/.f64 (*.f64 -1/2 (/.f64 eps x)) -1)
(/.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) 1)
(/.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) (/.f64 (/.f64 eps x) (/.f64 eps x)))
(pow.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) 1)
(neg.f64 (*.f64 -1/2 (/.f64 eps x)))
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x)))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) 0)
(+.f64 0 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 1 x)) 1)
(.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x))
(.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) 1)
(.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))
(.f64 -1 (-.f64 x (.f64 -1/2 (/.f64 eps x))))
(.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))
(.f64 (-.f64 x (.f64 -1/2 (/.f64 eps x))) -1)
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (/.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (/.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (/.f64 -1 (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (-.f64 x (.f64 -1/2 (/.f64 eps x))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))) (/.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))))
(.f64 (.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) 1)
(/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (-.f64 x (*.f64 -1/2 (/.f64 eps x))) -1)
(pow.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) 1)
(neg.f64 (-.f64 x (*.f64 -1/2 (/.f64 eps 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))
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(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (/.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (/.f64 -1 (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (-.f64 x (.f64 -1/2 (/.f64 eps x))))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))) (/.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(.f64 (.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (/.f64 (-.f64 (.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(/.f64 (-.f64 x (*.f64 -1/2 (/.f64 eps x))) -1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(pow.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)
(neg.f64 (-.f64 x (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (neg.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (*.f64 (/.f64 eps x) -1/2) x)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (neg.f64 (*.f64 -1/2 (/.f64 eps x))))
✓	0.3b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))
✓	16.0b	(.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))

Compiler

Compiled 61 to 30 computations (50.8% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))
1.0ms	x	@	0	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))
1.0ms	eps	@	inf	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))
1.0ms	eps	@	inf	(.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
0.0ms	x	@	0	(/.f64 1 (neg.f64 (*.f64 -1/2 (/.f64 eps x))))

rewrite138.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`rational.json-simplify-47`
648×	`rational.json-simplify-43`
632×	`rational.json-5`
630×	`exponential.json-3`
630×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	101
1	129	101
2	386	93
3	1415	57
4	6026	57

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (/.f64 eps x) 1/4) (neg.f64 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)) (/.f64 (/.f64 eps x) (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 eps x) 1/4) (neg.f64 (/.f64 eps x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)) 1)))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 eps x) (neg.f64 (*.f64 (/.f64 eps x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 eps x) (*.f64 1/4 (fabs.f64 (/.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 eps x) (/.f64 (*.f64 (/.f64 eps x) 1/4) (fabs.f64 (/.f64 (/.f64 eps x) (/.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 eps x)) (*.f64 (/.f64 eps x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 eps x)) (neg.f64 (*.f64 (/.f64 eps x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 eps x)) (*.f64 1/4 (fabs.f64 (/.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 eps x)) (/.f64 (*.f64 (/.f64 eps x) 1/4) (fabs.f64 (/.f64 (/.f64 eps x) (/.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 eps x)) (neg.f64 (*.f64 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simplify238.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

878×	`rational.json-simplify-2`
806×	`rational.json-simplify-111`
764×	`rational.json-simplify-50`
686×	`rational.json-simplify-54`
580×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	226	4730
1	468	4722
2	940	4618
3	2373	4610
4	4312	4574
5	6628	4574

Stop Event

1×	node limit

Counts

178 → 146

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))
✓	0.3b	(/.f64 1 (*.f64 1/2 (/.f64 eps x)))
✓	0.3b	(*.f64 (/.f64 eps x) (/.f64 eps x))
✓	30.7b	(.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))))

Compiler

Compiled 145 to 56 computations (61.4% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))
1.0ms	x	@	0	(/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))
1.0ms	x	@	inf	(/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))
0.0ms	x	@	-inf	(/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))
0.0ms	eps	@	inf	(/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))

rewrite169.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational.json-simplify-47`
786×	`rational.json-5`
784×	`exponential.json-3`
784×	`rational.json-1`
784×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	184
1	137	184
2	432	178
3	1717	148
4	6892	148

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))) (/.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))) (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 1/4 (.f64 (.f64 (/.f64 eps x) 1/2) (/.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))))))))))
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simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-47`
988×	`rational.json-simplify-50`
968×	`rational.json-simplify-54`
924×	`rational.json-simplify-104`
836×	`rational.json-simplify-76`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	3857
1	419	3857
2	773	3803
3	3162	3799

Stop Event

1×	node limit

Counts

179 → 98

Calls

Call 1

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

eval1.1s (8.5%)

Compiler: Compiled 65385 to 21763 computations (66.7% saved)

prune390.0ms (3.1%)

Pruning

41 alts after pruning (28 fresh and 13 done)

	Pruned	Kept	Total
New	1096	23	1119
Fresh	3	5	8
Picked	0	1	1
Done	2	12	14
Total	1101	41	1142

Error

0.3b

Counts

1142 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	60.9b	(-.f64 (-.f64 1 (*.f64 -1/2 (/.f64 eps x))) 1)
	60.9b	(-.f64 (-.f64 -1 (*.f64 -1/2 (/.f64 eps x))) -1)
✓	59.6b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	60.6b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
	59.8b	(-.f64 x (.f64 (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) (.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
✓	22.5b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	38.3b	(-.f64 x (sqrt.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
✓	39.2b	(-.f64 x (sqrt.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
✓	25.5b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.3b	(-.f64 x x)
	60.9b	(-.f64 2 (-.f64 (*.f64 -1/2 (/.f64 eps x)) -2))
	41.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
	49.0b	(.f64 (/.f64 eps x) (.f64 (/.f64 (/.f64 eps x) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (*.f64 (/.f64 eps x) 1/8)))
	37.5b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x))))
	49.0b	(.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) 1/4) (/.f64 1 (.f64 1/2 (/.f64 eps x))))) (/.f64 (.f64 (/.f64 eps x) 1/4) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))))
	56.3b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (+.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 3/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))))) (/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x))))))
	56.3b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (+.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 3/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))))))
✓	56.3b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))))
	56.3b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (.f64 (/.f64 eps x) 1/2))) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2)))) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))))
	59.4b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (.f64 (.f64 (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2))) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2)))) (/.f64 (/.f64 1 (/.f64 1 (.f64 (/.f64 eps x) 1/2))) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2))))) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x))))))
	56.3b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 (.f64 2 (/.f64 x eps)) (.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))))))
	56.6b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4))))) 1)))
	62.0b	(.f64 (/.f64 eps x) (.f64 (.f64 (.f64 (/.f64 eps x) 1/4) (.f64 1/4 (.f64 (/.f64 eps x) (/.f64 eps x)))) (.f64 (/.f64 1 (/.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))) (.f64 (/.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (/.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))))))
	60.8b	(.f64 (/.f64 1 (-.f64 x (.f64 (/.f64 eps x) -1/2))) (.f64 (-.f64 x (.f64 (/.f64 eps x) -1/2)) (-.f64 x (*.f64 (/.f64 eps x) -1/2))))
✓	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	23.9b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
✓	24.0b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
	24.0b	(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))))
	48.5b	(.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
	61.1b	(.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))) 1))
	48.5b	(.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (.f64 (.f64 (/.f64 eps x) (/.f64 eps x)) (/.f64 -1/2 (/.f64 eps x))) (.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) (/.f64 -1/2 (/.f64 eps x)))))
	48.8b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (.f64 (/.f64 eps x) 1/2)))) 1) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
	24.0b	(.f64 (.f64 (/.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)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	49.9b	(.f64 (.f64 (/.f64 1 (/.f64 1 (.f64 (/.f64 eps x) 1/2))) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
	59.0b	(.f64 (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (/.f64 (/.f64 1 (.f64 1/2 (/.f64 eps x))) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4))))
	59.4b	(.f64 (.f64 (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2))))) (/.f64 (/.f64 1 (/.f64 1 (.f64 (/.f64 eps x) 1/2))) (.f64 (/.f64 1 (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (.f64 (/.f64 eps x) 1/2))))) (.f64 (/.f64 eps x) (*.f64 (/.f64 eps x) 1/4)))
	63.3b	(.f64 (.f64 (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))) (/.f64 (/.f64 (/.f64 1 (neg.f64 (.f64 -1/2 (/.f64 eps x)))) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4))) (.f64 (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))))
	48.5b	(.f64 (.f64 2 (/.f64 x eps)) (.f64 (/.f64 eps x) (.f64 (/.f64 eps x) 1/4)))
✓	37.4b	(*.f64 1/2 (/.f64 eps x))
✓	25.3b	(neg.f64 (sqrt.f64 (neg.f64 eps)))
	61.8b	x

Compiler

Compiled 1399 to 682 computations (51.3% saved)

regimes183.0ms (1.4%)

Counts

47 → 2

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x
51.0ms	eps
40.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
5.8b	2	`x`
11.3b	2	`eps`
1.1b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 1433 to 593 computations (58.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.272669153580931e-150	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes101.0ms (0.8%)

Counts

38 → 2

Calls

Call 1

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

42.0ms	eps
39.0ms	x

Results

Error	Segments	Branch
6.5b	2	`x`
12.6b	2	`eps`

Compiler

Compiled 1054 to 506 computations (52% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	4.4224885232094606e-93	2.1118168905386107e-91

Results

9.0ms	85×	body	256	valid
5.0ms	27×	body	512	valid
2.0ms	8×	body	256	invalid

Compiler

Compiled 127 to 94 computations (26% saved)

regimes99.0ms (0.8%)

Counts

37 → 2

Calls

Call 1

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

43.0ms	eps
37.0ms	x

Results

Error	Segments	Branch
6.6b	2	`x`
12.6b	2	`eps`

Compiler

Compiled 1049 to 505 computations (51.9% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	4.4224885232094606e-93	2.1118168905386107e-91

Results

8.0ms	84×	body	256	valid
4.0ms	28×	body	512	valid
1.0ms	14×	body	256	invalid

Compiler

Compiled 120 to 94 computations (21.7% saved)

regimes66.0ms (0.5%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	eps
19.0ms	x

Results

Error	Segments	Branch
37.4b	1	`x`
37.4b	1	`eps`

Compiler

Compiled 1045 to 502 computations (52% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x 2)
(-.f64 x x)

Outputs
(-.f64 x x)

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
61.3b	1	`x`
61.3b	1	`eps`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.1%)

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
61.8b	1	`x`
61.8b	1	`eps`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (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))) -4606887725612233/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 5871356456934583/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 6458492102628041/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (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))) -4606887725612233/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 5871356456934583/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 6458492102628041/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (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%)

end48.0ms (0.4%)

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

Details

analyze33.0ms (0.3%)

sample3.3s (25.5%)

preprocess29.0ms (0.2%)

simplify23.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.1%)

series11.0ms (0.1%)

rewrite154.0ms (1.2%)

simplify282.0ms (2.2%)

eval119.0ms (0.9%)

prune167.0ms (1.3%)

localize26.0ms (0.2%)

series17.0ms (0.1%)

rewrite247.0ms (1.9%)

simplify390.0ms (3.1%)

localize6.0ms (0%)

localize9.0ms (0.1%)

localize9.0ms (0.1%)

localize43.0ms (0.3%)

series9.0ms (0.1%)

rewrite173.0ms (1.4%)

simplify195.0ms (1.5%)

eval588.0ms (4.6%)

prune547.0ms (4.3%)

localize43.0ms (0.3%)

series3.0ms (0%)

rewrite350.0ms (2.7%)

simplify349.0ms (2.7%)

localize3.0ms (0%)

localize13.0ms (0.1%)

series3.0ms (0%)

rewrite95.0ms (0.7%)

simplify247.0ms (1.9%)

localize9.0ms (0.1%)

series4.0ms (0%)

rewrite89.0ms (0.7%)

simplify177.0ms (1.4%)

localize51.0ms (0.4%)

series6.0ms (0%)

rewrite185.0ms (1.5%)

simplify161.0ms (1.3%)

eval499.0ms (3.9%)

prune227.0ms (1.8%)

localize41.0ms (0.3%)

series3.0ms (0%)

rewrite157.0ms (1.2%)

simplify179.0ms (1.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite83.0ms (0.6%)

simplify314.0ms (2.5%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite125.0ms (1%)

simplify196.0ms (1.5%)

localize20.0ms (0.2%)

series11.0ms (0.1%)

rewrite138.0ms (1.1%)

simplify238.0ms (1.9%)

localize43.0ms (0.3%)

series7.0ms (0.1%)

rewrite169.0ms (1.3%)

simplify133.0ms (1%)

eval1.1s (8.5%)

prune390.0ms (3.1%)

regimes183.0ms (1.4%)

bsearch1.0ms (0%)

regimes101.0ms (0.8%)

bsearch18.0ms (0.1%)

regimes99.0ms (0.8%)

bsearch17.0ms (0.1%)

regimes66.0ms (0.5%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end48.0ms (0.4%)

Profiling