Details

analyze19.0ms (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)

sample2.2s (33.7%)

Results

1.1s	5907×	body	256	valid
490.0ms	1154×	body	1024	valid
363.0ms	1155×	body	512	valid
148.0ms	40×	body	2048	valid
18.0ms	185×	body	256	invalid

Bogosity

preprocess29.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

144×	`fma-neg_binary64`
96×	`fma-def_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`
26×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	21	24
2	35	24
3	63	24
4	102	24
5	210	24
6	353	24
7	506	24
8	608	24
9	660	24
10	670	24
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)))
(-.f64 eps (sqrt.f64 (fma.f64 eps eps (neg.f64 x))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

107×	`fma-def_binary64`
72×	`fma-neg_binary64`
29×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-in_binary64`
24×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	12	12
2	20	12
3	34	12
4	55	12
5	103	12
6	196	12
7	269	12
8	361	12
9	439	12
10	495	12
11	499	12

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.2b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (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))
✓	4.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series11.0ms (0.2%)

Counts

3 → 56

Calls

18 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	162	28
2	2429	28

Stop Event

1×	node limit

Counts

3 → 97

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 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (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))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (+.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 x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (fma.f64 x x (+.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 x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(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 pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (neg.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) eps) (fma.f64 (neg.f64 eps) 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 eps) (.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 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) (cbrt.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))) (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x 4) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (fma.f64 x x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 (.f64 x x) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (.f64 x x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))))))

Outputs

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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (neg.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 eps) 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 eps) (*.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 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2) (cbrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x 4) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (*.f64 x x) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (*.f64 x x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))))))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-neg_binary64`
524×	`distribute-rgt-in_binary64`
269×	`fma-def_binary64`
212×	`distribute-rgt-neg-in_binary64`
203×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	2475
1	854	2333
2	3330	2274

Stop Event

1×	node limit

Counts

153 → 198

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 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1)
(.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (-.f64 (.f64 x x) (*.f64 x x)) eps)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (*.f64 x x) (neg.f64 eps))
(+.f64 (.f64 x x) (.f64 (neg.f64 eps) 1))
(+.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 eps) 1 eps))
(+.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(+.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))
(+.f64 (neg.f64 eps) (*.f64 x x))
(.f64 (-.f64 (.f64 x x) eps) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 1 (-.f64 (.f64 x x) eps))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(*.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 1 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x 4) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 (*.f64 x x) (neg.f64 eps)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (.f64 x x) (neg.f64 eps)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 x x (neg.f64 eps))
(fma.f64 1 (*.f64 x x) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))

Outputs
(.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(fma.f64 (neg.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))
(fma.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) x) (.f64 (sqrt.f64 -1) (sqrt.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)))) (+.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)))
(fma.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (fma.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 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 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)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.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)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))))
(+.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))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/2 (/.f64 eps x)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -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)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.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)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))))
(+.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))))))
(fma.f64 1/2 (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6))))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/2 (/.f64 eps x)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) 1/2)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) 1/2)))
(fma.f64 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 -1)) 1/2))))
(fma.f64 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) 1/2))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (.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)))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 eps 5)))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) 1/16)))))
(fma.f64 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) 1/2 (.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))))))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(fma.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))
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(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(+.f64 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(+.f64 (.f64 x x) (.f64 (neg.f64 eps) 1))
(-.f64 (*.f64 x x) eps)
(+.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 eps) 1 eps))
(-.f64 (*.f64 x x) eps)
(+.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(-.f64 (*.f64 x x) eps)
(+.f64 (-.f64 (*.f64 x x) eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))
(-.f64 (*.f64 x x) eps)
(+.f64 (neg.f64 eps) (*.f64 x x))
(-.f64 (*.f64 x x) eps)
(.f64 (-.f64 (.f64 x x) eps) 1)
(-.f64 (*.f64 x x) eps)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(.f64 1 (-.f64 (.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2))
(-.f64 (*.f64 x x) eps)
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 4))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (*.f64 x x) eps)
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(-.f64 (*.f64 x x) eps)
(*.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)))
(-.f64 (*.f64 x x) eps)
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 4))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 1 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x 4) (*.f64 eps eps))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))
(.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 (*.f64 x x) (neg.f64 eps)))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (.f64 x x) (neg.f64 eps)))
(.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(-.f64 (*.f64 x x) eps)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)
(-.f64 (*.f64 x x) eps)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(-.f64 (*.f64 x x) eps)
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))
(-.f64 (*.f64 x x) eps)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(fma.f64 x x (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 1 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 eps))

eval65.0ms (1%)

Compiler: Compiled 3647 to 1823 computations (50% saved)

prune34.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	191	7	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	8	199

Error

0.0b

Counts

199 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	59.3b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	26.2b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	29.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.2b	(-.f64 x x)
▶	61.8b	(+.f64 x x)
	0.4b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
▶	33.7b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 164 to 92 computations (43.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 9 computations (85% saved)

series9.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
508×	`log-prod_binary64`
308×	`fma-neg_binary64`
272×	`pow2_binary64`
185×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	261	24
2	4073	22

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.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 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 -1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (fma.f64 x x (neg.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (hypot.f64 x 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Outputs

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x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x)))))

simplify128.0ms (2%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-rgt-in_binary64`
546×	`distribute-lft-in_binary64`
385×	`unswap-sqr_binary64`
228×	`fma-def_binary64`
192×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	6232
1	1167	5589
2	4159	5231

Stop Event

1×	node limit

Counts

226 → 323

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.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 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (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 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(*.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 5/128 (/.f64 (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 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(*.f64 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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))) (.f64 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 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 -1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (*.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(+.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (fma.f64 x x (neg.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) eps)
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(*.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
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(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (fma.f64 x x (neg.f64 eps)) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 eps (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps))
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(*.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 eps (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 eps)))
(/.f64 (neg.f64 eps) (neg.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (pow.f64 eps 3) (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (+.f64 (fma.f64 x x (neg.f64 eps)) (-.f64 (.f64 x x) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (neg.f64 (.f64 eps eps)) (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x x)) (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps) -1)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(fma.f64 x 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1 x)
(fma.f64 1 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x)
(fma.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps)))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x)

Outputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) 1/2)) (.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 x (.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (neg.f64 (sqrt.f64 -1)))) (.f64 x x) (/.f64 (neg.f64 x) -1)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) 1/2)) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) 1/2)) (*.f64 x x))))))
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(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) 1) (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (.f64 x x) eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (.f64 x (+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)) eps))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps) -1)
(/.f64 eps (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (exp.f64 x)))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 x 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1 x)
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 1 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x)
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) x)
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) x)
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) x)
(+.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) 1/2))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps)))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) x)
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	4.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series6.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
468×	`fma-def_binary64`
313×	`pow-prod-down_binary64`
266×	`pow2_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	191	19
2	2948	19

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (neg.f64 x))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) 2) (fma.f64 x x (*.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (*.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) 2) (*.f64 x x)) (+.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (-.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -1/2) (/.f64 eps x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (exp.f64 (neg.f64 x))))))) 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(exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (/.f64 eps x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 (/.f64 1 x) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 eps x) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x eps) -2)) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 eps) (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 x eps) -2))) (cbrt.f64 (/.f64 eps x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) x)))))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

620×	`times-frac_binary64`
492×	`distribute-rgt-in_binary64`
395×	`unswap-sqr_binary64`
344×	`fma-neg_binary64`
337×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	2485
1	814	2393
2	2376	2347

Stop Event

1×	node limit

Counts

194 → 198

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
x
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
x
x
(+.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 x (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(+.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (neg.f64 x))
(+.f64 0 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1)
(*.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(*.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) 2) (fma.f64 x x (*.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (*.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) 2) (*.f64 x x)) (+.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (-.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1)
(pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2))
(log.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (/.f64 (exp.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -1/2) (/.f64 eps x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(exp.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) 1))
(fma.f64 x 1 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 x 1 (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(fma.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1 (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 1 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 1 x (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(fma.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 1 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(fma.f64 1 (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (neg.f64 x))
(fma.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 x x))) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) 2) (cbrt.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (sqrt.f64 (-.f64 x (/.f64 -1/2 (/.f64 x eps)))) (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(fma.f64 -1 (fma.f64 -1/2 (/.f64 eps x) x) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps)))) (neg.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)))
(*.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)
(*.f64 1 (fma.f64 -1/2 (/.f64 eps x) x))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(*.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2))))
(.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 x x)) (/.f64 1 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x) (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x (/.f64 -1/2 (/.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x)) (-.f64 (/.f64 -1/2 (/.f64 x eps)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (-.f64 x (/.f64 -1/2 (/.f64 x eps))))
(pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x) (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/2) (/.f64 eps x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (/.f64 eps x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3))
(fma.f64 x 1 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 -1/2 (/.f64 eps x) x)
(fma.f64 eps (*.f64 (/.f64 1 x) -1/2) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 x)
(fma.f64 1 x (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x eps) -2)) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) x)
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) x)
(fma.f64 (*.f64 -1/2 eps) (/.f64 1 x) x)
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) x)
(fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) x)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 x eps) -2))) (cbrt.f64 (/.f64 eps x)) x)
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) x)

Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
x
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 eps -1/2) x)
(*.f64 eps (/.f64 -1/2 x))
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(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3))))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 (/.f64 -1/2 x) eps)) (pow.f64 (*.f64 (/.f64 -1/2 x) eps) 2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (.f64 1/2 eps) x)) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (/.f64 eps x) x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 1 (/.f64 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x) (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/2 x) eps) 2) (.f64 x x)) (-.f64 (*.f64 (/.f64 -1/2 x) eps) x))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (fma.f64 1/2 (/.f64 eps x) x))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 (/.f64 -1/2 x) eps)) (pow.f64 (*.f64 (/.f64 -1/2 x) eps) 2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (.f64 1/2 eps) x)) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (/.f64 eps x) x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x (/.f64 -1/2 (/.f64 x eps))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 -1/2 x) eps) 2) (.f64 x (*.f64 (/.f64 -1/2 x) eps)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x x (+.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 1/2 eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x)) (-.f64 (/.f64 -1/2 (/.f64 x eps)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/2 x) eps) 2) (.f64 x x)) (-.f64 (*.f64 (/.f64 -1/2 x) eps) x))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (fma.f64 1/2 (/.f64 eps x) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2))))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 (/.f64 -1/2 x) eps)) (pow.f64 (*.f64 (/.f64 -1/2 x) eps) 2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (.f64 1/2 eps) x)) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (/.f64 eps x) x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/2 x) eps) 2) (.f64 x x)) (-.f64 (*.f64 (/.f64 -1/2 x) eps) x))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (fma.f64 1/2 (/.f64 eps x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (-.f64 x (/.f64 -1/2 (/.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/2 x) eps) 2) (.f64 x x)) (-.f64 (*.f64 (/.f64 -1/2 x) eps) x))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (fma.f64 1/2 (/.f64 eps x) x))
(pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 1/2)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 1/3)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3))) -1)
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 (/.f64 -1/2 x) eps)) (pow.f64 (*.f64 (/.f64 -1/2 x) eps) 2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (.f64 1/2 eps) x)) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) -3) -1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (/.f64 eps x) x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)))
(pow.f64 (/.f64 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x) (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (*.f64 x x))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/2 x) eps) 2) (.f64 x x)) (-.f64 (*.f64 (/.f64 -1/2 x) eps) x))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (fma.f64 1/2 (/.f64 eps x) x))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/2) (/.f64 eps x))))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (exp.f64 x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (/.f64 eps x)) (+.f64 1 (expm1.f64 x))))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 3))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 2))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) 1/3))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1) 1))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 x 1 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 -1/2 (/.f64 eps x) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 eps (*.f64 (/.f64 1 x) -1/2) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 1 x (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x eps) -2)) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x eps) -2)) (*.f64 -1/2 (cbrt.f64 (/.f64 eps x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (*.f64 -1/2 eps) (/.f64 1 x) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 x eps) -2))) (cbrt.f64 (/.f64 eps x)) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x eps) -2)) (*.f64 -1/2 (cbrt.f64 (/.f64 eps x))) x)
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 eps (/.f64 -1/2 x) x)

eval252.0ms (3.9%)

Compiler: Compiled 15404 to 5727 computations (62.8% saved)

prune171.0ms (2.7%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	630	7	637
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	631	14	645

Error

0.0b

Counts

645 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
▶	33.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	26.8b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
	33.7b	(/.f64 (*.f64 1/2 eps) x)
▶	34.0b	(/.f64 1/2 (/.f64 x eps))
	60.7b	(-.f64 x (/.f64 (*.f64 eps -1/2) x))
✓	59.3b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
▶	60.7b	(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
✓	26.2b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	29.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.2b	(-.f64 x x)
✓	61.8b	(+.f64 x x)
▶	0.4b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))

Compiler

Compiled 311 to 184 computations (40.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	0.2b	(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.3b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))

Compiler

Compiled 73 to 14 computations (80.8% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite84.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`fma-def_binary64`
561×	`log-prod_binary64`
315×	`fma-neg_binary64`
225×	`egg-rr`
202×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	296	27
2	4380	25

Stop Event

1×	node limit

Counts

2 → 253

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (+.f64 x (hypot.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 eps eps)) 1) (*.f64 (neg.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) -1) (*.f64 (*.f64 eps eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 eps eps)) -1) (*.f64 (neg.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 eps 3)) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (*.f64 eps eps))) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 eps 1) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps -1) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1))))))

simplify148.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

707×	`unswap-sqr_binary64`
240×	`fma-def_binary64`
239×	`times-frac_binary64`
237×	`div-sub_binary64`
184×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	9415
1	1536	9003
2	5176	7760

Stop Event

1×	node limit

Counts

285 → 404

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.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 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (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 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(*.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 5/128 (/.f64 (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 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))
(+.f64 (.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 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.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 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.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 -1 (.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 -1 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))))
(/.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 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/128 (pow.f64 eps 3)) (.f64 -1/32 (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 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 2 (/.f64 x eps)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 (pow.f64 eps 2) (pow.f64 x 5)))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 eps) (.f64 1/8 eps))) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 x eps)) (.f64 1/16 (/.f64 (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 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.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 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 -1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 eps)))
(/.f64 (pow.f64 eps 3) (.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 eps eps)))
(/.f64 (neg.f64 (.f64 eps eps)) (.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 eps)))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (.f64 (pow.f64 eps 3) 1) (.f64 (*.f64 eps eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (.f64 (neg.f64 (.f64 eps eps)) 1) (*.f64 (neg.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (.f64 (pow.f64 eps 3) -1) (.f64 (*.f64 eps eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (.f64 (neg.f64 (.f64 eps eps)) -1) (*.f64 (neg.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 eps eps)))
(/.f64 (.f64 -1 (neg.f64 (.f64 eps eps))) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (neg.f64 eps)))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (/.f64 eps 1) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (.f64 eps eps))
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(fma.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (/.f64 eps eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (*.f64 eps (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 eps (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (*.f64 eps (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 eps (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (.f64 eps (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(+.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 (/.f64 1 eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1))

Outputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) 1/2)) (.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 x (.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.f64 x -1) (.f64 x (.f64 x (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) -1/2)))))
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(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(-.f64 (/.f64 x (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)) (/.f64 (fma.f64 x x (neg.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(-.f64 (.f64 (/.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) x) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(-.f64 (/.f64 x (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)) (/.f64 (fma.f64 x x (neg.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(-.f64 (.f64 (/.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) x) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(-.f64 (/.f64 x (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)) (/.f64 (fma.f64 x x (neg.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(-.f64 (.f64 (/.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) x) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 0))
(-.f64 (/.f64 x (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)) (/.f64 (fma.f64 x x (neg.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(-.f64 (.f64 (/.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) x) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) 1)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2)) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2)))
(*.f64 (/.f64 1 eps) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) eps)
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(.f64 (-.f64 (fma.f64 x x (fma.f64 x x (neg.f64 eps))) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))))
(/.f64 (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3) 1/3)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -1/2) 2)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) -1)
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) -2))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) -1))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1770	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(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 1/2 (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))))))

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

423×	`associate-/r*_binary64`
391×	`fma-def_binary64`
390×	`associate-/l/_binary64`
369×	`distribute-rgt-in_binary64`
341×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	355
1	158	355
2	583	355
3	2453	352

Stop Event

1×	node limit

Counts

50 → 29

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(.f64 (.f64 1/2 (/.f64 eps x)) 1)
(.f64 1 (.f64 1/2 (/.f64 eps x)))
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 (/.f64 1/2 x) eps)
(*.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))
(.f64 (.f64 (/.f64 1/2 x) 1) eps)
(.f64 (.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(.f64 (.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)
(pow.f64 (*.f64 (/.f64 x eps) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))

Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 1 (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 (/.f64 eps x) 1/2)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 (/.f64 1/2 x) eps)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (.f64 (/.f64 1/2 x) 1) eps)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 (.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(pow.f64 (*.f64 (/.f64 x eps) 2) -1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 eps) x) 2))
(fabs.f64 (/.f64 (*.f64 1/2 eps) x))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
844×	`add-log-exp_binary64`
843×	`log1p-expm1-u_binary64`
843×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2290	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps -1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) eps (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 eps) (/.f64 -1/2 x) (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) 1 (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2) (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 eps (/.f64 -1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) (*.f64 eps (neg.f64 (/.f64 -1/2 x)))) (*.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))) (-.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 eps (neg.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))))))

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-def_binary64`
425×	`associate-/l*_binary64`
352×	`times-frac_binary64`
322×	`unswap-sqr_binary64`
316×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1147
1	389	1087
2	1678	982

Stop Event

1×	node limit

Counts

105 → 75

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.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 1 (*.f64 eps (/.f64 -1/2 x))) 1)
(/.f64 eps (*.f64 x -2))
(/.f64 1 (/.f64 x (*.f64 eps -1/2)))
(/.f64 (*.f64 eps -1/2) x)
(/.f64 (neg.f64 (*.f64 eps -1/2)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) 1) x)
(/.f64 (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 1/2 eps) (neg.f64 x))
(/.f64 (*.f64 eps 1/2) (neg.f64 x))
(pow.f64 (*.f64 eps (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))
(+.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(+.f64 x (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) 1))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) eps (.f64 eps (/.f64 -1/2 x))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 eps) (/.f64 -1/2 x) (.f64 eps (/.f64 -1/2 x))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) 1 (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x))) 2) (.f64 eps (/.f64 -1/2 x))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (.f64 eps (/.f64 -1/2 x))) (.f64 eps (/.f64 -1/2 x))))
(+.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) x)
(.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) 1)
(.f64 1 (-.f64 x (.f64 eps (/.f64 -1/2 x))))
(.f64 (cbrt.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x)))) 2) (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (sqrt.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 x (.f64 eps (/.f64 -1/2 x)))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 eps (/.f64 -1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (.f64 eps (/.f64 -1/2 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) (-.f64 (.f64 x x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (.f64 eps (/.f64 -1/2 x))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (.f64 eps (/.f64 -1/2 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) (.f64 eps (neg.f64 (/.f64 -1/2 x)))) (.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) (.f64 eps (neg.f64 (/.f64 -1/2 x))))) (-.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))
(pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1 x (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))

Outputs
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
x
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
x
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
x
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(-.f64 (+.f64 1 (*.f64 eps (/.f64 -1/2 x))) 1)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 eps (*.f64 x -2))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 1 (/.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (*.f64 eps -1/2) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (neg.f64 (*.f64 eps -1/2)) (neg.f64 x))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (/.f64 (*.f64 eps -1/2) 1) x)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (*.f64 1/2 eps) (neg.f64 x))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(/.f64 (*.f64 eps 1/2) (neg.f64 x))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(pow.f64 (*.f64 eps (/.f64 -1/2 x)) 1)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 3)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3) 1/3)
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 -1/2 x)))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) x)
(+.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 x (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) 1))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) eps (.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (fma.f64 (/.f64 1/2 x) eps (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (*.f64 (/.f64 -1/2 x) (+.f64 (neg.f64 eps) eps)))
(-.f64 x (.f64 (/.f64 -1/2 x) (-.f64 eps (.f64 0 eps))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 eps) (/.f64 -1/2 x) (.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (fma.f64 (/.f64 1/2 x) eps (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (*.f64 (/.f64 -1/2 x) (+.f64 (neg.f64 eps) eps)))
(-.f64 x (.f64 (/.f64 -1/2 x) (-.f64 eps (.f64 0 eps))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) 1 (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (fma.f64 (/.f64 1/2 x) eps (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (*.f64 (/.f64 -1/2 x) (+.f64 (neg.f64 eps) eps)))
(-.f64 x (.f64 (/.f64 -1/2 x) (-.f64 eps (.f64 0 eps))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x))) 2) (.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (fma.f64 (/.f64 1/2 x) eps (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (*.f64 (/.f64 -1/2 x) (+.f64 (neg.f64 eps) eps)))
(-.f64 x (.f64 (/.f64 -1/2 x) (-.f64 eps (.f64 0 eps))))
(+.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (.f64 eps (/.f64 -1/2 x))) (.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (fma.f64 (/.f64 1/2 x) eps (*.f64 -1/2 (/.f64 eps x))))
(+.f64 (fma.f64 eps (/.f64 1/2 x) x) (*.f64 (/.f64 -1/2 x) (+.f64 (neg.f64 eps) eps)))
(-.f64 x (.f64 (/.f64 -1/2 x) (-.f64 eps (.f64 0 eps))))
(+.f64 (*.f64 eps (neg.f64 (/.f64 -1/2 x))) x)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x))) 1)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(.f64 1 (-.f64 x (.f64 eps (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(.f64 (cbrt.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x)))) 2) (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(.f64 (sqrt.f64 (-.f64 x (.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) 1) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 3)) (fma.f64 x x (.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (fma.f64 (/.f64 eps x) (.f64 -1/2 (fma.f64 -1/2 (/.f64 eps x) x)) (.f64 x x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 x (.f64 eps (/.f64 -1/2 x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 2)) (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 eps (/.f64 -1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (.f64 eps (/.f64 -1/2 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) 1) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 3)) (fma.f64 x x (.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (fma.f64 (/.f64 eps x) (.f64 -1/2 (fma.f64 -1/2 (/.f64 eps x) x)) (.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x (.f64 eps (/.f64 -1/2 x))) (-.f64 (.f64 x x) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 2)) (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (.f64 eps (/.f64 -1/2 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) 1) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 3)) (fma.f64 x x (.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (fma.f64 (/.f64 eps x) (.f64 -1/2 (fma.f64 -1/2 (/.f64 eps x) x)) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2)) (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 2)) (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 eps (/.f64 -1/2 x)) (+.f64 x (.f64 eps (/.f64 -1/2 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) 1) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 3)) (fma.f64 x x (.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (fma.f64 (/.f64 eps x) (.f64 -1/2 (fma.f64 -1/2 (/.f64 eps x) x)) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 2)) (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) (.f64 eps (neg.f64 (/.f64 -1/2 x)))) (.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) 1) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 3)) (fma.f64 x x (.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (fma.f64 (/.f64 eps x) (.f64 -1/2 (fma.f64 -1/2 (/.f64 eps x) x)) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) (.f64 eps (neg.f64 (/.f64 -1/2 x))))) (-.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 2)) (/.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 -1/2 eps) x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 1)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 3) 1/3)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 3)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))) 2)
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 2))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(log.f64 (exp.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x))) 3))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(exp.f64 (log.f64 (-.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(fma.f64 1 x (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (neg.f64 (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 eps x) x)
(fma.f64 eps (/.f64 1/2 x) x)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	0.0b	(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	0.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

Compiler

Compiled 67 to 21 computations (68.7% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
1.0ms	x	@	0	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
0.0ms	x	@	inf	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
0.0ms	x	@	-inf	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
0.0ms	eps	@	-inf	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`fma-def_binary64`
658×	`log-prod_binary64`
399×	`fma-neg_binary64`
233×	`log-div_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	311	25
2	4869	25

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/l*_binary64`
470×	`unswap-sqr_binary64`
330×	`distribute-rgt-in_binary64`
310×	`distribute-lft-in_binary64`
233×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	2997
1	845	2925
2	2604	2833

Stop Event

1×	node limit

Counts

175 → 198

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 0 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) 1)
(-.f64 (/.f64 (.f64 x x) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (/.f64 (-.f64 (.f64 x x) eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 eps (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1)
(*.f64 1 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) eps)
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) 1) (/.f64 (cbrt.f64 eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (/.f64 eps (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (/.f64 eps (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x) (.f64 x x)))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 0 (/.f64 -1/2 (/.f64 x eps))))
(pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1)
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 3)
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 2)
(pow.f64 (/.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 0 (/.f64 -1/2 (/.f64 x eps)))) (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (-.f64 0 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (-.f64 0 (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))
(/.f64 1 (/.f64 (-.f64 0 (/.f64 -1/2 (/.f64 x eps))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (-.f64 (.f64 x x) (.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (-.f64 0 (/.f64 -1/2 (/.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (-.f64 0 (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 1)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (exp.f64 (+.f64 x x))))
(log.f64 (.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (.f64 (exp.f64 x) (exp.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (.f64 (exp.f64 x) (exp.f64 x))))
(log.f64 (.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(log.f64 (.f64 (.f64 (exp.f64 x) (exp.f64 x)) (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1))
(fma.f64 x 1 (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (*.f64 x x) 2 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 eps (*.f64 (/.f64 1 x) -1/2) (+.f64 x x))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 (+.f64 x x))
(fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1 x)
(fma.f64 1 x (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) (+.f64 x x))
(fma.f64 1 (fma.f64 -1/2 (/.f64 eps x) x) x)
(fma.f64 1 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(fma.f64 2 x (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 2 (*.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) x)
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)) x)
(fma.f64 (*.f64 eps -1/2) (/.f64 1 x) (+.f64 x x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) (+.f64 x x))
(fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2)) (cbrt.f64 (/.f64 eps x)) (+.f64 x x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (+.f64 x x))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x))
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (.f64 -32 (pow.f64 x 5)) (.f64 eps eps))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (.f64 -32 (pow.f64 x 5)) (.f64 eps eps)))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x))
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (.f64 -32 (pow.f64 x 5)) (.f64 eps eps))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (.f64 -32 (pow.f64 x 5)) (.f64 eps eps)))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x))
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
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(fma.f64 x (+.f64 x x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (*.f64 x x) 2 (/.f64 -1/2 (/.f64 x eps)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (pow.f64 (exp.f64 x) (+.f64 x x))))
(+.f64 (*.f64 x (+.f64 x x)) (log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(fma.f64 x (+.f64 x x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (*.f64 (/.f64 1 x) -1/2) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1 x)
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 1 x (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 1 (fma.f64 -1/2 (/.f64 eps x) x) x)
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 1 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 (/.f64 -1/2 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 (/.f64 -1/2 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) x)
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 2 x (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 2 (*.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (pow.f64 (exp.f64 x) (+.f64 x x))))
(+.f64 (*.f64 x (+.f64 x x)) (log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(fma.f64 x (+.f64 x x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (/.f64 -1/2 (/.f64 x eps))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) x)
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 (/.f64 -1/2 x) eps)) (.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) x)
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 eps (/.f64 -1/2 x))) (.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) x)
(+.f64 x (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 eps (/.f64 1/2 x))) (.f64 (pow.f64 (/.f64 eps x) 2) 1/4))))
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (/.f64 -1/2 (/.f64 x eps)) x)) x)
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (.f64 (/.f64 -1/2 x) eps) x)) x)
(fma.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (.f64 eps (/.f64 -1/2 x)) x)) x)
(+.f64 x (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (.f64 x (neg.f64 x))) (-.f64 (.f64 eps (/.f64 -1/2 x)) x)))
(fma.f64 (*.f64 eps -1/2) (/.f64 1 x) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -1/2 (/.f64 eps x) x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)) (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2)) (cbrt.f64 (/.f64 eps x)) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (neg.f64 eps)))
✓	0.3b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 48 to 9 computations (81.3% saved)

series10.0ms (0.2%)

Counts

2 → 26

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
2.0ms	eps	@	inf	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
1.0ms	eps	@	-inf	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
1.0ms	x	@	0	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
1.0ms	x	@	inf	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

444×	`log-prod_binary64`
417×	`fma-def_binary64`
296×	`fma-neg_binary64`
287×	`pow-prod-down_binary64`
229×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	255	15
2	4012	15

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (sqrt.f64 eps))) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) -2) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) -1/2) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 eps))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 eps)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 eps))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 1/6) (cbrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 eps 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 eps) x)))))

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-*l/_binary64`
442×	`fma-def_binary64`
374×	`associate-*r/_binary64`
262×	`unswap-sqr_binary64`
216×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	1625
1	657	1472
2	2151	1431

Stop Event

1×	node limit

Counts

120 → 151

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))))
(/.f64 eps x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))
(+.f64 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))))
(/.f64 eps x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))
(+.f64 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))))
(/.f64 eps x)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
x
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
x
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
x
(+.f64 0 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (sqrt.f64 eps))) (-.f64 x (sqrt.f64 eps)))
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) -2) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) -1/2) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps)))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)
(pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) 1) -1)
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (+.f64 x (sqrt.f64 eps)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps)))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (.f64 x x) (.f64 x (sqrt.f64 eps)))))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)) -1)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 eps))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 eps)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 eps))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))
(fma.f64 x 1 (sqrt.f64 eps))
(fma.f64 (sqrt.f64 eps) 1 x)
(fma.f64 1 x (sqrt.f64 eps))
(fma.f64 1 (sqrt.f64 eps) x)
(fma.f64 (pow.f64 eps 1/6) (cbrt.f64 eps) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 eps 1/6) x)
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 eps))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 eps) x)

Outputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (/.f64 x -1) (/.f64 x (sqrt.f64 -1)))) (/.f64 x -1)))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (neg.f64 (sqrt.f64 -1)) x)) x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))))
(fma.f64 -1 (/.f64 (pow.f64 x 3) (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (/.f64 x -1) (/.f64 x (sqrt.f64 -1)))) (/.f64 x -1))) (/.f64 (pow.f64 x 3) eps))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (neg.f64 (sqrt.f64 -1)) x)) x) (/.f64 (pow.f64 x 3) eps)))
(/.f64 eps x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))
(fma.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 eps x))
(-.f64 (/.f64 eps x) (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (/.f64 eps x) (.f64 (/.f64 (pow.f64 eps 3/2) (.f64 x x)) (sqrt.f64 -1)))
(+.f64 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 eps x)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))))
(+.f64 (/.f64 eps x) (-.f64 (/.f64 (.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))))
(-.f64 (fma.f64 (/.f64 -1 (pow.f64 x 3)) (.f64 eps eps) (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 3/2) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 eps x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5))))))
(+.f64 (-.f64 (/.f64 eps x) (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x)))) (-.f64 (/.f64 (.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (/.f64 (.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (pow.f64 eps 5)))) (pow.f64 x 4))))
(-.f64 (fma.f64 (pow.f64 eps 5/2) (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 (/.f64 -1 (pow.f64 x 3)) (.f64 eps eps) (/.f64 eps x))) (.f64 (/.f64 (pow.f64 eps 3/2) (*.f64 x x)) (sqrt.f64 -1)))
(/.f64 eps x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))
(fma.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 eps x))
(-.f64 (/.f64 eps x) (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (/.f64 eps x) (.f64 (/.f64 (pow.f64 eps 3/2) (.f64 x x)) (sqrt.f64 -1)))
(+.f64 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 eps x)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))))
(+.f64 (/.f64 eps x) (-.f64 (/.f64 (.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))))
(-.f64 (fma.f64 (/.f64 -1 (pow.f64 x 3)) (.f64 eps eps) (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 3/2) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 eps x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5))))))
(+.f64 (-.f64 (/.f64 eps x) (.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (.f64 x x)))) (-.f64 (/.f64 (.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (/.f64 (.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (pow.f64 eps 5)))) (pow.f64 x 4))))
(-.f64 (fma.f64 (pow.f64 eps 5/2) (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 (/.f64 -1 (pow.f64 x 3)) (.f64 eps eps) (/.f64 eps x))) (.f64 (/.f64 (pow.f64 eps 3/2) (*.f64 x x)) (sqrt.f64 -1)))
(/.f64 eps x)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
x
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
x
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
x
(+.f64 0 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (sqrt.f64 eps))) (-.f64 x (sqrt.f64 eps)))
(-.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 eps) x) x)) (-.f64 x (sqrt.f64 eps)))
(+.f64 (*.f64 (/.f64 x (+.f64 (sqrt.f64 eps) x)) x) (-.f64 (sqrt.f64 eps) x))
(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 eps) x)) (-.f64 (sqrt.f64 eps) x))
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 eps) x))))
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x)) 2)))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) -2) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 (sqrt.f64 eps) x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 eps) x)) 2)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) -1/2) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 eps) x) -1/2) (/.f64 eps (sqrt.f64 (+.f64 (sqrt.f64 eps) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x)))
(/.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)))
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps)))
(*.f64 (-.f64 x (sqrt.f64 eps)) (/.f64 eps (fma.f64 x x eps)))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2) 1/2)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 eps) x) eps) -3))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (sqrt.f64 eps) x) 3)))
(pow.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) 1) -1)
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 eps) x))))
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 eps) x))))
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -3))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 eps) x) eps) -3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (sqrt.f64 eps) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))
(/.f64 eps (+.f64 (sqrt.f64 eps) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)
(+.f64 (sqrt.f64 eps) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (sqrt.f64 eps)))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 x (sqrt.f64 eps)) 1)
(+.f64 (sqrt.f64 eps) x)
(*.f64 1 (+.f64 x (sqrt.f64 eps)))
(+.f64 (sqrt.f64 eps) x)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))
(+.f64 (sqrt.f64 eps) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (.f64 x x) (.f64 x (sqrt.f64 eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1)
(+.f64 (sqrt.f64 eps) x)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2) 1/2)
(+.f64 (sqrt.f64 eps) x)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)
(+.f64 (sqrt.f64 eps) x)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)
(+.f64 (sqrt.f64 eps) x)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)
(+.f64 (sqrt.f64 eps) x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) -1)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)) -1)
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 eps))) (exp.f64 x)))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (*.f64 (exp.f64 (sqrt.f64 eps)) (+.f64 1 (expm1.f64 x))))
(+.f64 (sqrt.f64 eps) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 eps))) (+.f64 1 (expm1.f64 x))))
(+.f64 (sqrt.f64 eps) x)
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))
(+.f64 (sqrt.f64 eps) x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 (sqrt.f64 eps) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))
(+.f64 (sqrt.f64 eps) x)
(fma.f64 x 1 (sqrt.f64 eps))
(+.f64 (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 eps) 1 x)
(+.f64 (sqrt.f64 eps) x)
(fma.f64 1 x (sqrt.f64 eps))
(+.f64 (sqrt.f64 eps) x)
(fma.f64 1 (sqrt.f64 eps) x)
(+.f64 (sqrt.f64 eps) x)
(fma.f64 (pow.f64 eps 1/6) (cbrt.f64 eps) x)
(fma.f64 (cbrt.f64 eps) (pow.f64 eps 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 eps))
(+.f64 (sqrt.f64 eps) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps))
(+.f64 (sqrt.f64 eps) x)
(fma.f64 (cbrt.f64 eps) (pow.f64 eps 1/6) x)
(fma.f64 (pow.f64 eps 1/6) (cbrt.f64 eps) x)
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)
(+.f64 (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))
(+.f64 (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 eps))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 eps))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 eps))
(fma.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 eps))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 eps) x)
(+.f64 (sqrt.f64 eps) x)

eval412.0ms (6.5%)

Compiler: Compiled 26802 to 9869 computations (63.2% saved)

prune543.0ms (8.5%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1076	14	1090
Fresh	2	2	4
Picked	0	1	1
Done	4	5	9
Total	1082	22	1104

Error

Counts

1104 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	60.9b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) (.f64 eps (neg.f64 (/.f64 -1/2 x))))) (-.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))
	36.0b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
▶	33.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
	56.4b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (/.f64 (*.f64 eps -1/2) x)))
✓	33.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	26.8b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
	60.6b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (*.f64 (/.f64 eps x) -1/2))
▶	60.6b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (*.f64 eps (/.f64 -1/2 x)))
▶	33.7b	(/.f64 (*.f64 eps 1/2) x)
	56.4b	(/.f64 eps x)
✓	34.0b	(/.f64 1/2 (/.f64 x eps))
	60.6b	(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
	61.2b	(-.f64 x (-.f64 (+.f64 1 (*.f64 eps (/.f64 -1/2 x))) 1))
✓	59.3b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	26.2b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	29.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	33.8b	(*.f64 (/.f64 1/2 x) eps)
	33.2b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))))
	37.0b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
▶	60.6b	(*.f64 -2 x)
	61.8b	x

Compiler

Compiled 561 to 347 computations (38.1% saved)

localize6.0ms (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)

series2.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`pow1_binary64`
583×	`add-log-exp_binary64`
582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
569×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	133	6
2	1911	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))))))

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-neg_binary64`
387×	`associate-l_binary64`
355×	`associate-r_binary64`
337×	`fma-def_binary64`
330×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	519
1	250	468
2	878	458
3	4544	453

Stop Event

1×	node limit

Counts

48 → 55

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(*.f64 (-.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (-.f64 x (sqrt.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps)))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))

Outputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x)
x
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(-.f64 x (sqrt.f64 eps))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) x)
(-.f64 x (*.f64 (cbrt.f64 (sqrt.f64 eps)) (cbrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(-.f64 x (sqrt.f64 eps))
(*.f64 (-.f64 x (sqrt.f64 eps)) 1)
(-.f64 x (sqrt.f64 eps))
(*.f64 1 (-.f64 x (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))
(-.f64 x (sqrt.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (+.f64 (sqrt.f64 eps) x) eps))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(/.f64 (*.f64 (fma.f64 x x eps) 1) (+.f64 (sqrt.f64 eps) x))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(*.f64 (+.f64 (pow.f64 eps 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (+.f64 (sqrt.f64 eps) x) eps))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (*.f64 (fma.f64 x x eps) 1) (+.f64 (sqrt.f64 eps) x))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (+.f64 (sqrt.f64 eps) x) eps))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (*.f64 (fma.f64 x x eps) 1) (+.f64 (sqrt.f64 eps) x))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (+.f64 (sqrt.f64 eps) x) eps))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (*.f64 (fma.f64 x x eps) 1) (+.f64 (sqrt.f64 eps) x))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (fma.f64 x x (*.f64 (neg.f64 (sqrt.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 eps)) x))))
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 eps) eps)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 eps) eps)) (fma.f64 x (+.f64 (sqrt.f64 eps) x) eps))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1)
(-.f64 x (sqrt.f64 eps))
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)
(-.f64 x (sqrt.f64 eps))
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)
(-.f64 x (sqrt.f64 eps))
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)
(-.f64 x (sqrt.f64 eps))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))
(-.f64 x (sqrt.f64 eps))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))
(-.f64 x (sqrt.f64 eps))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`pow1_binary64`
627×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1655	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 eps (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 1/2 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 eps (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps 1/2) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 eps 1/2)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps 1/2)) (*.f64 (sqrt.f64 (*.f64 eps 1/2)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps -1/2) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 eps 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 eps 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 eps 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 eps 1/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 eps 1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))))))

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

443×	`log-prod_binary64`
435×	`log-div_binary64`
369×	`associate-/l*_binary64`
333×	`fma-def_binary64`
286×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	476
1	269	476
2	935	476
3	4563	476

Stop Event

1×	node limit

Counts

65 → 44

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (+.f64 1 (/.f64 eps (*.f64 x 2))) 1)
(.f64 eps (/.f64 1 (.f64 x 2)))
(.f64 eps (.f64 1/2 (pow.f64 x -1)))
(*.f64 1/2 (/.f64 eps x))
(.f64 1/2 (.f64 eps (pow.f64 x -1)))
(.f64 (.f64 eps 1/2) (pow.f64 x -1))
(.f64 (/.f64 eps (.f64 x 2)) 1)
(.f64 1 (/.f64 eps (.f64 x 2)))
(.f64 (cbrt.f64 (/.f64 eps (.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) (.f64 (cbrt.f64 (.f64 eps 1/2)) (pow.f64 x -1)))
(.f64 (sqrt.f64 (/.f64 eps (.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))
(.f64 (sqrt.f64 (.f64 eps 1/2)) (.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 x -1)))
(.f64 (.f64 eps -1/2) (/.f64 1 (neg.f64 x)))
(.f64 (pow.f64 x -1) (.f64 eps 1/2))
(*.f64 (/.f64 eps 1) (/.f64 1/2 x))
(*.f64 (/.f64 eps x) 1/2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 eps 1/2)) x))
(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (.f64 eps 1/2) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (.f64 eps 1/2) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 eps 1/2)) (sqrt.f64 x)))
(pow.f64 (/.f64 eps (*.f64 x 2)) 1)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)
(pow.f64 (*.f64 2 (/.f64 x eps)) -1)
(neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))
(log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2))))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))

Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(-.f64 (+.f64 1 (/.f64 eps (*.f64 x 2))) 1)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 eps (/.f64 1 (.f64 x 2)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 eps (.f64 1/2 (pow.f64 x -1)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(.f64 1/2 (.f64 eps (pow.f64 x -1)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (.f64 eps 1/2) (pow.f64 x -1))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 eps (.f64 x 2)) 1)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 1 (/.f64 eps (.f64 x 2)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (cbrt.f64 (/.f64 eps (.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) (.f64 (cbrt.f64 (.f64 eps 1/2)) (pow.f64 x -1)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (sqrt.f64 (/.f64 eps (.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (sqrt.f64 (.f64 eps 1/2)) (.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 x -1)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (.f64 eps -1/2) (/.f64 1 (neg.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (pow.f64 x -1) (.f64 eps 1/2))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps 1) (/.f64 1/2 x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 eps 1/2)) x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (.f64 eps 1/2) (cbrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(.f64 (cbrt.f64 (/.f64 eps (.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) (cbrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (.f64 eps 1/2) (sqrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 eps 1/2)) (sqrt.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (/.f64 eps (*.f64 x 2)) 1)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (*.f64 2 (/.f64 x eps)) -1)
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps 1/2) 3) (pow.f64 x 3)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 15 computations (68.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
512×	`prod-diff_binary64`
263×	`fma-def_binary64`
255×	`pow2_binary64`
189×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	253	10
2	3746	10

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (/.f64 (*.f64 x -2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (/.f64 eps (*.f64 x -2))) (/.f64 (-.f64 (*.f64 x x) eps) (/.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 (*.f64 x -2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (/.f64 (*.f64 x -2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 (*.f64 x -2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 2)) (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x -2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))) (sqrt.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -2) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 1 (*.f64 (/.f64 -1/2 x) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps eps) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (/.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (/.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (/.f64 eps (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (/.f64 -1/2 x)) (/.f64 (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 -1/2 x)) (/.f64 (cbrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2)) (/.f64 eps (cbrt.f64 (/.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2)) (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (/.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 eps (*.f64 x -2)))) (/.f64 eps (sqrt.f64 (/.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (/.f64 eps (*.f64 x -2)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (/.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 eps -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 eps eps) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 eps eps) 1) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 eps eps) 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (/.f64 eps (/.f64 -1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 eps (/.f64 eps (/.f64 -1/2 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (*.f64 (/.f64 -1/2 x) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 (*.f64 x -2) eps))) 1))))))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
610×	`associate-/r/_binary64`
437×	`associate-/l/_binary64`
420×	`fma-def_binary64`
285×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	486
1	389	447
2	1581	447
3	7563	447

Stop Event

1×	node limit

Counts

75 → 66

Calls

Call 1

Inputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(+.f64 0 (.f64 eps (/.f64 (.f64 x -2) eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (.f64 x -2) eps)))) 1)
(-.f64 (/.f64 (.f64 x x) (/.f64 eps (.f64 x -2))) (/.f64 (-.f64 (.f64 x x) eps) (/.f64 eps (.f64 x -2))))
(.f64 eps (/.f64 (.f64 x -2) eps))
(.f64 (.f64 eps (/.f64 (*.f64 x -2) eps)) 1)
(.f64 1 (.f64 eps (/.f64 (*.f64 x -2) eps)))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 (*.f64 x -2) eps)))
(.f64 (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (.f64 eps (/.f64 (*.f64 x -2) eps)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (/.f64 (*.f64 x -2) eps)) 2)) (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 (*.f64 x -2) eps)))
(.f64 (sqrt.f64 (.f64 eps (/.f64 (.f64 x -2) eps))) (sqrt.f64 (.f64 eps (/.f64 (*.f64 x -2) eps))))
(.f64 (.f64 x -2) (/.f64 eps eps))
(.f64 (/.f64 (.f64 x -2) eps) eps)
(.f64 (neg.f64 eps) (/.f64 1 (.f64 (/.f64 -1/2 x) (neg.f64 eps))))
(.f64 (/.f64 eps eps) (.f64 x -2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (/.f64 eps (.f64 x -2))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (/.f64 eps (.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (/.f64 1 eps) (/.f64 eps (/.f64 -1/2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 -1/2 x)) (/.f64 (sqrt.f64 eps) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 -1/2 x)) (/.f64 (cbrt.f64 eps) eps))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x -2))) 2)) (/.f64 eps (cbrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x -2))) 2)) (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x -2))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 eps (.f64 x -2)))) (/.f64 eps (sqrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (/.f64 eps (.f64 x -2)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 eps (.f64 eps -1/2)) x)
(*.f64 (/.f64 (/.f64 eps eps) -1/2) x)
(.f64 (/.f64 (/.f64 eps eps) 1) (.f64 x -2))
(*.f64 (/.f64 (/.f64 eps eps) 1/2) (neg.f64 x))
(pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 1)
(pow.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))) 3)
(pow.f64 (sqrt.f64 (.f64 eps (/.f64 (.f64 x -2) eps))) 2)
(pow.f64 (/.f64 eps (/.f64 eps (/.f64 -1/2 x))) -1)
(pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 eps (/.f64 eps (/.f64 -1/2 x))) 1) -1)
(neg.f64 (/.f64 eps (*.f64 (/.f64 -1/2 x) (neg.f64 eps))))
(sqrt.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (.f64 x -2) eps)))))
(cbrt.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)))
(expm1.f64 (log1p.f64 (.f64 eps (/.f64 (.f64 x -2) eps))))
(log1p.f64 (expm1.f64 (.f64 eps (/.f64 (.f64 x -2) eps))))
(exp.f64 (log.f64 (.f64 eps (/.f64 (.f64 x -2) eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (*.f64 x -2) eps))) 1))

Outputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(+.f64 0 (.f64 eps (/.f64 (.f64 x -2) eps)))
(*.f64 -2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 -2 x) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 -2 x) eps)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (.f64 (/.f64 x eps) -2)))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (.f64 -2 (/.f64 x eps))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (.f64 x -2) eps)))))
(*.f64 -2 x)
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (.f64 x -2) eps)))) 1)
(*.f64 -2 x)
(-.f64 (/.f64 (.f64 x x) (/.f64 eps (.f64 x -2))) (/.f64 (-.f64 (.f64 x x) eps) (/.f64 eps (.f64 x -2))))
(*.f64 -2 x)
(.f64 eps (/.f64 (.f64 x -2) eps))
(*.f64 -2 x)
(.f64 (.f64 eps (/.f64 (*.f64 x -2) eps)) 1)
(*.f64 -2 x)
(.f64 1 (.f64 eps (/.f64 (*.f64 x -2) eps)))
(*.f64 -2 x)
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 (*.f64 x -2) eps)))
(*.f64 -2 x)
(.f64 (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (.f64 eps (/.f64 (*.f64 x -2) eps)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (.f64 -2 x) 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (/.f64 -1/2 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (/.f64 (*.f64 x -2) eps)) 2)) (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (.f64 -2 x) 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (/.f64 -1/2 x)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 (*.f64 x -2) eps)))
(*.f64 -2 x)
(.f64 (sqrt.f64 (.f64 eps (/.f64 (.f64 x -2) eps))) (sqrt.f64 (.f64 eps (/.f64 (*.f64 x -2) eps))))
(*.f64 -2 x)
(.f64 (.f64 x -2) (/.f64 eps eps))
(*.f64 -2 x)
(.f64 (/.f64 (.f64 x -2) eps) eps)
(*.f64 -2 x)
(.f64 (neg.f64 eps) (/.f64 1 (.f64 (/.f64 -1/2 x) (neg.f64 eps))))
(*.f64 -2 x)
(.f64 (/.f64 eps eps) (.f64 x -2))
(*.f64 -2 x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (/.f64 eps (.f64 x -2))))
(*.f64 -2 x)
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (/.f64 eps (.f64 x -2))))
(*.f64 -2 x)
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 -2 x)
(*.f64 (/.f64 1 eps) (/.f64 eps (/.f64 -1/2 x)))
(*.f64 -2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 -2 x)
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 -1/2 x)) (/.f64 (sqrt.f64 eps) eps))
(*.f64 -2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 -1/2 x)) (/.f64 (cbrt.f64 eps) eps))
(*.f64 -2 x)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x -2))) 2)) (/.f64 eps (cbrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 -2 x))) 2)) (/.f64 eps (cbrt.f64 (/.f64 eps (*.f64 -2 x)))))
(/.f64 (/.f64 eps (cbrt.f64 (/.f64 (.f64 eps -1/2) x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 eps -1/2) x)) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x -2))) 2)) (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 -1/2 x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 eps (.f64 -2 x))) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 eps -1/2) x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (/.f64 -1/2 x))))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 eps (.f64 x -2))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 -2 x))) 2)) (/.f64 eps (cbrt.f64 (/.f64 eps (*.f64 -2 x)))))
(/.f64 (/.f64 eps (cbrt.f64 (/.f64 (.f64 eps -1/2) x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 eps -1/2) x)) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 eps (.f64 x -2)))) (/.f64 eps (sqrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 eps (.f64 -2 x)))) (/.f64 eps (sqrt.f64 (/.f64 eps (*.f64 -2 x)))))
(/.f64 (/.f64 eps (sqrt.f64 (/.f64 (.f64 eps -1/2) x))) (sqrt.f64 (/.f64 (.f64 eps -1/2) x)))
(/.f64 eps (.f64 (sqrt.f64 (.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (/.f64 eps (.f64 x -2)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (/.f64 eps (*.f64 x -2)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 eps (.f64 -2 x)))) (/.f64 eps (sqrt.f64 (/.f64 eps (*.f64 -2 x)))))
(/.f64 (/.f64 eps (sqrt.f64 (/.f64 (.f64 eps -1/2) x))) (sqrt.f64 (/.f64 (.f64 eps -1/2) x)))
(/.f64 eps (.f64 (sqrt.f64 (.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(.f64 (/.f64 eps (.f64 eps -1/2)) x)
(*.f64 -2 x)
(*.f64 (/.f64 (/.f64 eps eps) -1/2) x)
(*.f64 -2 x)
(.f64 (/.f64 (/.f64 eps eps) 1) (.f64 x -2))
(*.f64 -2 x)
(*.f64 (/.f64 (/.f64 eps eps) 1/2) (neg.f64 x))
(*.f64 -2 x)
(pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 1)
(*.f64 -2 x)
(pow.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 2) 1/2)
(*.f64 -2 x)
(pow.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 3) 1/3)
(*.f64 -2 x)
(pow.f64 (/.f64 (/.f64 eps eps) (cbrt.f64 (/.f64 -1/2 x))) 3)
(*.f64 -2 x)
(pow.f64 (sqrt.f64 (.f64 eps (/.f64 (.f64 x -2) eps))) 2)
(*.f64 -2 x)
(pow.f64 (/.f64 eps (/.f64 eps (/.f64 -1/2 x))) -1)
(*.f64 -2 x)
(pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)) 1/3)
(*.f64 -2 x)
(pow.f64 (/.f64 (/.f64 eps (/.f64 eps (/.f64 -1/2 x))) 1) -1)
(*.f64 -2 x)
(neg.f64 (/.f64 eps (*.f64 (/.f64 -1/2 x) (neg.f64 eps))))
(*.f64 -2 x)
(sqrt.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 2))
(*.f64 -2 x)
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (*.f64 x -2) eps)))
(*.f64 -2 x)
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (.f64 x -2) eps)))))
(*.f64 -2 x)
(cbrt.f64 (pow.f64 (.f64 eps (/.f64 (.f64 x -2) eps)) 3))
(*.f64 -2 x)
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)))
(*.f64 -2 x)
(expm1.f64 (log1p.f64 (.f64 eps (/.f64 (.f64 x -2) eps))))
(*.f64 -2 x)
(log1p.f64 (expm1.f64 (.f64 eps (/.f64 (.f64 x -2) eps))))
(*.f64 -2 x)
(exp.f64 (log.f64 (.f64 eps (/.f64 (.f64 x -2) eps))))
(*.f64 -2 x)
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (*.f64 x -2) eps))) 1))
(*.f64 -2 x)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
✓	0.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))

Compiler

Compiled 64 to 23 computations (64.1% saved)

series3.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

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

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
560×	`fma-def_binary64`
289×	`fma-neg_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	321	25
2	4687	25

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (/.f64 (-.f64 (*.f64 x x) eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (fma.f64 -1/2 (/.f64 eps x) (*.f64 -2 x))) (/.f64 (*.f64 (*.f64 x x) 4) (fma.f64 -1/2 (/.f64 eps x) (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) 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x) (pow.f64 (exp.f64 x) x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 2 (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 (/.f64 1 x) -1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x x) (hypot.f64 x x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps -1/2) (/.f64 1 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2)) (cbrt.f64 (/.f64 eps x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (+.f64 x x))))))

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-def_binary64`
482×	`unswap-sqr_binary64`
303×	`distribute-rgt-in_binary64`
278×	`distribute-lft-in_binary64`
241×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	2550
1	752	2508
2	2468	2413

Stop Event

1×	node limit

Counts

142 → 182

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 2 x)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 2 x)
(*.f64 2 x)
(+.f64 0 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) 1)
(-.f64 (/.f64 (.f64 x x) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (/.f64 (-.f64 (.f64 x x) eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 eps (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1)
(*.f64 1 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 2) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (/.f64 eps (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (/.f64 eps (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(*.f64 (/.f64 eps (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)))
(.f64 (/.f64 eps (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 (.f64 x x) 4))) (fma.f64 -1/2 (/.f64 eps x) (.f64 -2 x)))
(pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1)
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 3)
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 2)
(pow.f64 (/.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (fma.f64 -1/2 (/.f64 eps x) (.f64 -2 x))) (/.f64 (.f64 (.f64 x x) 4) (fma.f64 -1/2 (/.f64 eps x) (.f64 -2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3)) (/.f64 1 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2))))
(.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 (.f64 x x) 4)) (/.f64 1 (fma.f64 -1/2 (/.f64 eps x) (.f64 -2 x))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 eps x) (.f64 -2 x)) (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 (*.f64 x x) 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3)) (fma.f64 (.f64 x x) 4 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 (/.f64 -1/2 (/.f64 x eps)) (+.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 (.f64 x x) 4)) (fma.f64 -1/2 (/.f64 eps x) (*.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2) (.f64 (.f64 x x) 4))) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 -2 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 2)) (-.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps))))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 1)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 eps x)) -1/2) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 (/.f64 eps x)) -1/2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 x eps))))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))) 1))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (*.f64 x x) 2 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 eps (*.f64 (/.f64 1 x) -1/2) (+.f64 x x))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(fma.f64 (/.f64 -1/2 (/.f64 x eps)) 1 (+.f64 x x))
(fma.f64 2 x (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 2 (*.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (+.f64 x x) 1 (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 1 (/.f64 -1/2 (/.f64 x eps)) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2) (*.f64 (cbrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 (*.f64 eps -1/2) (/.f64 1 x) (+.f64 x x))
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) (+.f64 x x))
(fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2)) (cbrt.f64 (/.f64 eps x)) (+.f64 x x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (+.f64 x x))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x))
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 -32 (/.f64 (*.f64 eps eps) (pow.f64 x 5)))))
(fma.f64 -2 x (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 -32 (/.f64 (*.f64 eps eps) (pow.f64 x 5))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -2 x (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3))))
(fma.f64 (/.f64 1/2 x) eps (/.f64 1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (*.f64 (pow.f64 eps 3) 1/32) (pow.f64 x 5))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 (pow.f64 eps 3) 1/32) (pow.f64 x 5)))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3))))
(fma.f64 (/.f64 1/2 x) eps (/.f64 1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (*.f64 (pow.f64 eps 3) 1/32) (pow.f64 x 5))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 (pow.f64 eps 3) 1/32) (pow.f64 x 5)))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3))))
(fma.f64 (/.f64 1/2 x) eps (/.f64 1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (*.f64 (pow.f64 eps 3) 1/32) (pow.f64 x 5))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 (pow.f64 eps 3) 1/32) (pow.f64 x 5)))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x))
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 -32 (/.f64 (*.f64 eps eps) (pow.f64 x 5)))))
(fma.f64 -2 x (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 -32 (/.f64 (*.f64 eps eps) (pow.f64 x 5))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -2 x (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x))
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 -32 (/.f64 (*.f64 eps eps) (pow.f64 x 5)))))
(fma.f64 -2 x (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 -32 (/.f64 (*.f64 eps eps) (pow.f64 x 5))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -2 x (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))))
(*.f64 2 x)
(+.f64 x x)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) -1/2)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 0 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps)))
(/.f64 eps (fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))) (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 -1/2 x) eps))))) (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 -1/2 x) eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 -1/2 x) eps)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (.f64 eps (/.f64 -1/2 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x))))))))
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(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 (/.f64 -1/2 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (.f64 2 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 (/.f64 -1/2 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 2 (cbrt.f64 (pow.f64 x 4))) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (.f64 2 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 (hypot.f64 x x) (hypot.f64 x x)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) -1/2) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (/.f64 -1/2 (/.f64 x eps))) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (*.f64 eps -1/2) (/.f64 1 x) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) (+.f64 x x))
(+.f64 (fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)) x) x)
(fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/2 (/.f64 x eps)))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 eps x)) 2)) (cbrt.f64 (/.f64 eps x)) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (+.f64 x x))
(fma.f64 x 2 (*.f64 (/.f64 -1/2 x) eps))
(fma.f64 x 2 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)

eval148.0ms (2.3%)

Compiler: Compiled 6434 to 3130 computations (51.4% saved)

prune126.0ms (2%)

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	361	8	369
Fresh	3	8	11
Picked	0	1	1
Done	1	9	10
Total	365	26	391

Error

Counts

391 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	60.9b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps (neg.f64 (/.f64 -1/2 x))) (.f64 eps (neg.f64 (/.f64 -1/2 x))))) (-.f64 x (*.f64 eps (neg.f64 (/.f64 -1/2 x)))))
	60.6b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 (*.f64 eps -1/2) x))
	60.6b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (/.f64 x (*.f64 eps -1/2))))
	36.0b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
✓	33.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
✓	33.1b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	26.8b	(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	33.7b	(/.f64 (*.f64 eps 1/2) x)
	56.4b	(/.f64 eps x)
✓	34.0b	(/.f64 1/2 (/.f64 x eps))
	60.6b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 x 2))) 1)
	61.2b	(-.f64 x (-.f64 (+.f64 1 (*.f64 eps (/.f64 -1/2 x))) 1))
✓	59.3b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	26.2b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	29.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	60.6b	(.f64 (/.f64 (.f64 x -2) eps) eps)
	60.6b	(.f64 (/.f64 eps (.f64 eps -1/2)) x)
	60.9b	(*.f64 (/.f64 1 eps) (/.f64 eps (/.f64 -1/2 x)))
	33.8b	(*.f64 (/.f64 1/2 x) eps)
	33.2b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (/.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))))
	37.0b	(.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
	60.6b	(.f64 (neg.f64 eps) (/.f64 1 (.f64 (/.f64 -1/2 x) (neg.f64 eps))))
✓	60.6b	(*.f64 -2 x)
	60.6b	(neg.f64 (/.f64 eps (*.f64 (/.f64 -1/2 x) (neg.f64 eps))))
	61.8b	x

Compiler

Compiled 361 to 227 computations (37.1% saved)

regimes117.0ms (1.8%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
41.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
21.0ms	eps

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 433 to 186 computations (57% saved)

regimes142.0ms (2.2%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	eps
44.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
31.0ms	x

Results

Error	Segments	Branch
5.9b	2	`x`
11.8b	4	`eps`
0.8b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 343 to 156 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.912946940122114e-155	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes142.0ms (2.2%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

83.0ms	eps
52.0ms	x

Results

Error	Segments	Branch
6.6b	2	`x`
12.3b	6	`eps`

Compiler

Compiled 310 to 145 computations (53.2% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	8.436424363714178e-119	7.599495580917626e-118

Results

9.0ms	89×	body	256	valid
1.0ms	16×	body	256	invalid
1.0ms	7×	body	512	valid

Compiler

Compiled 195 to 118 computations (39.5% saved)

regimes51.0ms (0.8%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	eps
14.0ms	x

Results

Error	Segments	Branch
33.1b	1	`x`
33.1b	1	`eps`

Compiler

Compiled 305 to 143 computations (53.1% saved)

regimes33.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
33.7b	1	`x`
33.7b	1	`eps`

Compiler

Compiled 220 to 109 computations (50.5% saved)

regimes10.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
56.4b	1	`x`
56.4b	1	`eps`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes28.0ms (0.4%)

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 -2 x)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
60.6b	1	`x`
60.6b	1	`eps`

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	170
1	52	170
2	67	170
3	76	170
4	80	170

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 8517641300339143/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 -2 x)
x

Outputs
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(if (<=.f64 x 8517641300339143/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 8517641300339143/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps) (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 eps x)
(*.f64 -2 x)
(*.f64 x -2)
x

Compiler

Compiled 131 to 68 computations (48.1% saved)

soundness0.0ms (0%)

end78.0ms (1.2%)

Compiler: Compiled 117 to 39 computations (66.7% saved)

Iter	Nodes	Cost
0	11	24
1	21	24
2	35	24
3	63	24
4	102	24
5	210	24
6	353	24
7	506	24
8	608	24
9	660	24
10	670	24
0	2	2

Iter	Nodes	Cost
0	7	12
1	12	12
2	20	12
3	34	12
4	55	12
5	103	12
6	196	12
7	269	12
8	361	12
9	439	12
10	495	12
11	499	12

Iter	Nodes	Cost
0	11	24
1	21	24
2	35	24
3	63	24
4	102	24
5	210	24
6	353	24
7	506	24
8	608	24
9	660	24
10	670	24
0	2	2

Iter	Nodes	Cost
0	7	12
1	12	12
2	20	12
3	34	12
4	55	12
5	103	12
6	196	12
7	269	12
8	361	12
9	439	12
10	495	12
11	499	12

Details

analyze19.0ms (0.3%)

sample2.2s (33.7%)

preprocess29.0ms (0.4%)

simplify17.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series11.0ms (0.2%)

rewrite61.0ms (0.9%)

simplify67.0ms (1.1%)

eval65.0ms (1%)

prune34.0ms (0.5%)

localize13.0ms (0.2%)

series9.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify128.0ms (2%)

localize3.0ms (0%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite64.0ms (1%)

simplify65.0ms (1%)

eval252.0ms (3.9%)

prune171.0ms (2.7%)

localize17.0ms (0.3%)

series7.0ms (0.1%)

rewrite84.0ms (1.3%)

simplify148.0ms (2.3%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite41.0ms (0.6%)

simplify36.0ms (0.6%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite50.0ms (0.8%)

simplify40.0ms (0.6%)

localize18.0ms (0.3%)

series8.0ms (0.1%)

rewrite63.0ms (1%)

simplify110.0ms (1.7%)

localize13.0ms (0.2%)

series10.0ms (0.2%)

rewrite54.0ms (0.8%)

simplify48.0ms (0.8%)

eval412.0ms (6.5%)

prune543.0ms (8.5%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite61.0ms (1%)

simplify44.0ms (0.7%)

localize3.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite44.0ms (0.7%)

simplify46.0ms (0.7%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite59.0ms (0.9%)

simplify63.0ms (1%)

localize17.0ms (0.3%)

series3.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify68.0ms (1.1%)

eval148.0ms (2.3%)

prune126.0ms (2%)

regimes117.0ms (1.8%)

regimes142.0ms (2.2%)

bsearch0.0ms (0%)

regimes142.0ms (2.2%)

bsearch13.0ms (0.2%)

regimes51.0ms (0.8%)

regimes33.0ms (0.5%)

regimes10.0ms (0.2%)

regimes28.0ms (0.4%)

simplify10.0ms (0.2%)

soundness0.0ms (0%)

end78.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	11	24
1	21	24
2	35	24
3	63	24
4	102	24
5	210	24
6	353	24
7	506	24
8	608	24
9	660	24
10	670	24
0	2	2

Iter	Nodes	Cost
0	7	12
1	12	12
2	20	12
3	34	12
4	55	12
5	103	12
6	196	12
7	269	12
8	361	12
9	439	12
10	495	12
11	499	12