Details

analyze66.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample968.0ms (28.3%)

Results

948.0ms	8256×	body	128	valid
8.0ms	69×	body	128	invalid

preprocess39.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

712×	`fma-def_binary64`
374×	`times-frac_binary64`
345×	`div-sub_binary64`
304×	`distribute-rgt-in_binary64`
242×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	32	38
2	82	34
3	245	34
4	953	34
5	4892	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 (/.f64 (.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(.f64 (-.f64 (/.f64 (.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
(*.f64 (-.f64 1 v) (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1))
(.f64 (-.f64 1 v) (+.f64 (.f64 (/.f64 v m) (-.f64 1 v)) -1))
(*.f64 (-.f64 1 v) (fma.f64 (/.f64 v m) (-.f64 1 v) -1))
(*.f64 (-.f64 1 v) (fma.f64 (-.f64 1 v) (/.f64 v m) -1))
(*.f64 (-.f64 1 v) (fma.f64 v (/.f64 (-.f64 1 v) m) -1))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-neg_binary64`
442×	`distribute-rgt-in_binary64`
376×	`unsub-neg_binary64`
325×	`fma-def_binary64`
302×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	131	17
4	464	17
5	2012	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
✓	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series10.0ms (0.3%)

Counts

4 → 63

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	m	@	inf	(/.f64 (*.f64 m (-.f64 1 m)) v)
1.0ms	v	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
1.0ms	m	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
1.0ms	m	@	inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
1.0ms	v	@	-inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite63.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`prod-diff_binary64`
188×	`fma-def_binary64`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
174×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	201	49
2	2941	45

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 m (-.f64 1 m))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 m)) (.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 m) (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (.f64 (fma.f64 m (+.f64 m 1) 1) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 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simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

355×	`fma-def_binary64`
270×	`unsub-neg_binary64`
235×	`associate-l_binary64`
230×	`unswap-sqr_binary64`
227×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	864
1	99	799
2	215	770
3	602	688
4	2895	688

Stop Event

1×	node limit

Counts

256 → 226

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1

Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (+.f64 -1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (.f64 -2 (/.f64 (.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(+.f64 -1 (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) m)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
-1
-1

prune533.0ms (15.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	222	4	226
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	223	5	228

Error

Counts

228 → 5

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
	0.2b	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	29.5b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)

Compiler

Compiled 4506 to 2907 computations (35.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
✓	0.3b	(*.f64 (+.f64 1 (/.f64 1 v)) m)
✓	10.8b	(/.f64 (pow.f64 m 3) v)
✓	13.6b	(/.f64 (pow.f64 m 2) v)

series15.0ms (0.4%)

Counts

4 → 32

Calls

24 calls:

Time	Variable		Expression
2.0ms	v	@	(/.f64 (pow.f64 m 3) v)
1.0ms	m	@	(/.f64 (pow.f64 m 2) v)
1.0ms	v	@	(/.f64 (pow.f64 m 2) v)
1.0ms	m	@	(*.f64 (+.f64 1 (/.f64 1 v)) m)
1.0ms	m	@	(/.f64 (pow.f64 m 3) v)

rewrite44.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`add-sqr-sqrt_binary64`
183×	`pow1_binary64`
181×	`*-un-lft-identity_binary64`
178×	`add-log-exp_binary64`
178×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	392	51

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 3) v)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 m (/.f64 v m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 m (.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 v) (.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 m (/.f64 v m))) (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 m 4)) (.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 v -1/2) (/.f64 (.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m (cbrt.f64 (.f64 v v))) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 v v))) (/.f64 (.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (cbrt.f64 (.f64 v v))) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 m m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 m 4) (pow.f64 v -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 m 6) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 m 6) (pow.f64 v -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 m (/.f64 v m))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 m m) (.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 m 3) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 v) (pow.f64 m 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (/.f64 m (cbrt.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 m (cbrt.f64 v)) 2) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m (sqrt.f64 v)) (/.f64 (.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 v -1/2) (/.f64 (pow.f64 m 3) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 m 3)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 m 3/2) (.f64 (pow.f64 m 3/2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 m m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m 1) (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 m m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 m 3/2) 1) (/.f64 (pow.f64 m 3/2) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 m (cbrt.f64 (.f64 v v))) (/.f64 (.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 m m) (cbrt.f64 (.f64 v v))) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 v v))) (/.f64 (pow.f64 m 3) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 m 3/2) (cbrt.f64 (.f64 v v))) (/.f64 (pow.f64 m 3/2) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (pow.f64 m 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 m 3) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 m 6) (pow.f64 v -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 m 3) v)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (.f64 (/.f64 1 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 v) m) m)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 m 1) (.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 m (/.f64 1 v)) (.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 m (.f64 (/.f64 1 v) m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 v -3)) m) (+.f64 1 (-.f64 (pow.f64 v -2) (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v -2)) m) (-.f64 1 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 m (+.f64 1 (pow.f64 v -3))) (+.f64 1 (-.f64 (pow.f64 v -2) (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 m (-.f64 1 (pow.f64 v -2))) (-.f64 1 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 m (.f64 (/.f64 1 v) m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 m (.f64 (/.f64 1 v) m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (hypot.f64 1 (pow.f64 v -1/2)) (sqrt.f64 m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (.f64 (/.f64 1 v) m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 m (.f64 (/.f64 1 v) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 1 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 m (.f64 (/.f64 1 v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (.f64 (/.f64 1 v) m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (.f64 (/.f64 1 v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (.f64 (/.f64 1 v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 1 v)) (log.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 v)) (log.f64 m)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (pow.f64 m 4) (pow.f64 v -2)) 4) (-.f64 (/.f64 (.f64 -2 (.f64 m m)) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))) (/.f64 (pow.f64 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)) 2) (-.f64 (/.f64 (.f64 -2 (.f64 m m)) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify30.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-neg_binary64`
448×	`fma-def_binary64`
382×	`cancel-sign-sub-inv_binary64`
227×	`distribute-rgt-out_binary64`
214×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	482
1	96	459
2	243	443
3	686	391
4	2412	333

Stop Event

1×	node limit

Counts

163 → 147

Calls

Call 1

Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
m
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
m
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
m
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (.f64 -1 (pow.f64 m 3)))) v)) m)

Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -2 (/.f64 (.f64 m m) v) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 m (+.f64 1 (/.f64 1 v)) (.f64 -2 (/.f64 (.f64 m m) v)))
(+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)))
(+.f64 m (fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v)))
(-.f64 m (/.f64 m (/.f64 v (fma.f64 m 2 -1))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
(.f64 (/.f64 (.f64 m m) v) (+.f64 m -2))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
(.f64 (/.f64 (.f64 m m) v) (+.f64 m -2))
(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
(/.f64 (fma.f64 -2 (*.f64 m m) (+.f64 m (pow.f64 m 3))) v)
(/.f64 (+.f64 m (.f64 (.f64 m m) (+.f64 -2 m))) v)
(/.f64 (fma.f64 (*.f64 m m) (+.f64 m -2) m) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
m
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (fma.f64 -2 (/.f64 (.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))

prune216.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	148	4	152

Error

Counts

152 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
	29.5b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
▶	0.0b	(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)

Compiler

Compiled 4583 to 3088 computations (32.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)
✓	0.0b	(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
✓	0.0b	(*.f64 m (fma.f64 m (-.f64 2 m) -1))
✓	0.0b	(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)

series10.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)
1.0ms	m	@	0	(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)
1.0ms	v	@	inf	(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)
1.0ms	m	@	-inf	(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)
1.0ms	v	@	-inf	(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)

rewrite111.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`prod-diff_binary64`
155×	`egg-rr`
140×	`add-sqr-sqrt_binary64`
135×	`*-un-lft-identity_binary64`
135×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	271	62
2	3862	62

Stop Event

1×	node limit

Counts

4 → 268

Calls

Call 1

Inputs
(/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)
(*.f64 m (fma.f64 m (-.f64 2 m) -1))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)

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

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

418×	`fma-def_binary64`
284×	`distribute-rgt-neg-in_binary64`
244×	`distribute-lft-neg-in_binary64`
235×	`fma-neg_binary64`
200×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	1721
1	152	1695
2	340	1622
3	895	1109
4	3486	1102

Stop Event

1×	node limit

Counts

352 → 314

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 m v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 m v)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(*.f64 -1 m)
(+.f64 (.f64 2 (pow.f64 m 2)) (.f64 -1 m))
(+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 (pow.f64 m 3)) (*.f64 -1 m)))
(+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 (pow.f64 m 3)) (*.f64 -1 m)))
(*.f64 -1 (pow.f64 m 3))
(+.f64 (.f64 2 (pow.f64 m 2)) (.f64 -1 (pow.f64 m 3)))
(+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (*.f64 -1 (pow.f64 m 3))))
(+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (*.f64 -1 (pow.f64 m 3))))
(*.f64 -1 (pow.f64 m 3))
(+.f64 (.f64 2 (pow.f64 m 2)) (.f64 -1 (pow.f64 m 3)))
(+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (*.f64 -1 (pow.f64 m 3))))
(+.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 -1 m) (*.f64 -1 (pow.f64 m 3))))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
m
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
m
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)

Outputs
(*.f64 -1 (/.f64 m v))
(neg.f64 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 m v)))
(fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 m v)))
(-.f64 (.f64 2 (/.f64 (.f64 m m) v)) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (/.f64 m v))
(fma.f64 2 (/.f64 (*.f64 m m) v) (/.f64 (neg.f64 m) v))
(/.f64 (*.f64 m (fma.f64 m 2 -1)) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v)))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (/.f64 (pow.f64 m 3) v))
(*.f64 m (/.f64 (-.f64 2 m) (/.f64 v m)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v)))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (/.f64 (pow.f64 m 3) v))
(*.f64 m (/.f64 (-.f64 2 m) (/.f64 v m)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(fma.f64 2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (.f64 2 (.f64 (/.f64 m v) m)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
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(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (/.f64 m v) (+.f64 -1 m))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (.f64 (/.f64 (.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 -1 (+.f64 (/.f64 m v) (fma.f64 (/.f64 (*.f64 m m) v) -2 m)))
(+.f64 -1 (+.f64 m (/.f64 (+.f64 m (.f64 m (.f64 m -2))) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(.f64 (/.f64 (.f64 m m) v) (+.f64 m -2))
(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(.f64 (/.f64 (.f64 m m) v) (+.f64 m -2))
(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v))
(neg.f64 (/.f64 (fma.f64 (-.f64 2 m) m -1) (/.f64 v m)))
(/.f64 (neg.f64 (fma.f64 m (-.f64 2 m) -1)) (/.f64 v m))
(*.f64 (/.f64 (fma.f64 m (-.f64 2 m) -1) v) (neg.f64 m))
(.f64 (/.f64 m v) (-.f64 1 (.f64 m (-.f64 2 m))))
(.f64 (/.f64 m v) (+.f64 1 (.f64 m (+.f64 m -2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 m 1)
(+.f64 m -1)
(+.f64 -1 m)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 m 1)
(+.f64 m -1)
(+.f64 -1 m)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)))))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))

prune511.0ms (14.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	312	2	314
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	313	5	318

Error

Counts

318 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
	29.3b	(-.f64 (-.f64 m (*.f64 m (/.f64 (-.f64 2 m) (/.f64 v m)))) 1)
✓	0.0b	(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)
▶	0.1b	(-.f64 (-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))) 1)

Compiler

Compiled 12076 to 7684 computations (36.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))) 1)
✓	0.0b	(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
✓	0.1b	(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))

series5.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	m	@	0	(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
0.0ms	m	@	inf	(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
0.0ms	m	@	-inf	(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
0.0ms	m	@	-inf	(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
0.0ms	m	@	0	(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))

rewrite94.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`prod-diff_binary64`
141×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`
136×	`pow1_binary64`
132×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	273	49
2	3855	49

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

Inputs
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
(-.f64 (-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))) 1)

Outputs

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

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

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
317×	`fma-def_binary64`
234×	`distribute-rgt-neg-in_binary64`
191×	`distribute-lft-neg-in_binary64`
166×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	1568
1	124	1548
2	276	1511
3	696	1000
4	2708	962

Stop Event

1×	node limit

Counts

275 → 239

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 m v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 m v)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (.f64 (+.f64 1 (/.f64 1 v)) m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
m
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
m
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)

Outputs
(*.f64 -1 (/.f64 m v))
(neg.f64 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 m v)))
(fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 m v)))
(-.f64 (*.f64 2 (/.f64 m (/.f64 v m))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (/.f64 m v))
(fma.f64 2 (/.f64 (*.f64 m m) v) (/.f64 (neg.f64 m) v))
(fma.f64 (/.f64 m v) (*.f64 m 2) (/.f64 (neg.f64 m) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (*.f64 -1 (/.f64 m v))))
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v)))
(fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v)))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (/.f64 (pow.f64 m 3) v))
(*.f64 m (/.f64 (-.f64 2 m) (/.f64 v m)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (.f64 -1 (/.f64 (pow.f64 m 3) v)))
(fma.f64 2 (/.f64 (*.f64 m m) v) (neg.f64 (/.f64 (pow.f64 m 3) v)))
(fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v)))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (/.f64 (pow.f64 m 3) v))
(*.f64 m (/.f64 (-.f64 2 m) (/.f64 v m)))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(+.f64 (.f64 2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 -1 (/.f64 m v)) (*.f64 -1 (/.f64 (pow.f64 m 3) v))))
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
(fma.f64 2 (/.f64 (.f64 m m) v) (.f64 -1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))))
(-.f64 (fma.f64 2 (/.f64 m (/.f64 v m)) (neg.f64 (/.f64 (pow.f64 m 3) v))) (/.f64 m v))
(-.f64 (/.f64 2 (/.f64 v (*.f64 m m))) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))
(*.f64 m (/.f64 (fma.f64 m (-.f64 2 m) -1) v))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 2 m) m) 1) m) v)
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(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(.f64 m (/.f64 (.f64 m (+.f64 m -2)) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
(fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(.f64 m (/.f64 (.f64 m (+.f64 m -2)) v))
(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1)))
(fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v))
(neg.f64 (/.f64 (fma.f64 (-.f64 2 m) m -1) (/.f64 v m)))
(/.f64 (neg.f64 (fma.f64 m (-.f64 2 m) -1)) (/.f64 v m))
(*.f64 (/.f64 (fma.f64 m (-.f64 2 m) -1) v) (neg.f64 m))
(.f64 m (/.f64 (-.f64 1 (.f64 m (-.f64 2 m))) v))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 m 1)
(+.f64 m -1)
(+.f64 -1 m)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 m 1)
(+.f64 m -1)
(+.f64 -1 m)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 (-.f64 2 m) m) 1) m) v)) m) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(-.f64 m (fma.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1) 1))
(+.f64 -1 (fma.f64 (/.f64 (fma.f64 m (+.f64 m -2) 1) v) m m))

prune330.0ms (9.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	239	5	244

Error

Counts

244 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
	29.3b	(-.f64 (-.f64 m (*.f64 m (/.f64 (-.f64 2 m) (/.f64 v m)))) 1)
✓	0.0b	(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)
✓	0.1b	(-.f64 (-.f64 m (*.f64 (/.f64 m v) (fma.f64 m (-.f64 2 m) -1))) 1)

Compiler

Compiled 8853 to 5254 computations (40.7% saved)

regimes96.0ms (2.8%)

Accuracy

Total -29.1b remaining (-42412.8%)

Threshold costs -29.1b (-42412.8%)

Counts

49 → 1

Compiler

Compiled 667 to 421 computations (36.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	21	20
2	30	20
3	41	20
4	47	20
5	50	20
6	51	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)

Outputs
(-.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) 1)
(+.f64 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)) -1)
(+.f64 -1 (-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v)))

end67.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 110 to 75 computations (31.8% saved)

Details

analyze66.0ms (1.9%)

sample968.0ms (28.3%)

preprocess39.0ms (1.1%)

simplify18.0ms (0.5%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

series10.0ms (0.3%)

rewrite63.0ms (1.9%)

simplify42.0ms (1.2%)

prune533.0ms (15.6%)

localize13.0ms (0.4%)

series15.0ms (0.4%)

rewrite44.0ms (1.3%)

simplify30.0ms (0.9%)

prune216.0ms (6.3%)

localize8.0ms (0.2%)

series10.0ms (0.3%)

rewrite111.0ms (3.3%)

simplify57.0ms (1.7%)

prune511.0ms (14.9%)

localize9.0ms (0.3%)

series5.0ms (0.2%)

rewrite94.0ms (2.8%)

simplify53.0ms (1.5%)

prune330.0ms (9.6%)

regimes96.0ms (2.8%)

simplify2.0ms (0.1%)

end67.0ms (2%)

Profiling