Details

analyze87.0ms (2.5%)

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)

sample1.1s (30.5%)

Results

1.0s	8256×	body	128	valid
7.0ms	70×	body	128	invalid

Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess41.0ms (1.2%)

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)

simplify19.0ms (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))

prune3.0ms (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

0.1b

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)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series31.0ms (0.9%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
3.0ms	v	@	inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
2.0ms	v	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
2.0ms	v	@	-inf	(/.f64 (*.f64 m (-.f64 1 m)) v)
2.0ms	m	@	-inf	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite63.0ms (1.8%)

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 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (.f64 (+.f64 m 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 (pow.f64 m 3)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)) (.f64 (fma.f64 m (+.f64 m 1) 1) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)) (.f64 (+.f64 m 1) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (-.f64 1 (pow.f64 m 3))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (fma.f64 m (+.f64 m 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) (-.f64 1 (pow.f64 m 3))) (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (fma.f64 m (+.f64 m 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (-.f64 1 (.f64 m m))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) (-.f64 1 (.f64 m m))) (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (-.f64 1 m)) (+.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 (pow.f64 (.f64 (/.f64 m v) 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simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-def_binary64`
279×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
167×	`distribute-rgt-neg-out_binary64`
164×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1107
1	105	1036
2	267	1024
3	754	960
4	2908	960

Stop Event

1×	node limit

Counts

273 → 223

Calls

Call 1

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

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

prune229.0ms (6.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	220	5	225

Error

Counts

225 → 5

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.2b	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
	3.6b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	23.8b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (.f64 (+.f64 m 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))

Compiler

Compiled 4520 to 2898 computations (35.9% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) m)
✓	0.0b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	6.2b	(/.f64 (pow.f64 m 3) v)
✓	12.5b	(/.f64 (pow.f64 m 2) v)

series42.0ms (1.2%)

Counts

4 → 27

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
3.0ms	v	@	-inf	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
3.0ms	v	@	inf	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
3.0ms	v	@	-inf	(/.f64 (pow.f64 m 3) v)
2.0ms	v	@	inf	(/.f64 (pow.f64 m 3) v)

rewrite47.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

192×	`add-sqr-sqrt_binary64`
188×	`pow1_binary64`
186×	`*-un-lft-identity_binary64`
181×	`add-log-exp_binary64`
181×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	384	50

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-neg_binary64`
470×	`cancel-sign-sub-inv_binary64`
323×	`fma-def_binary64`
291×	`associate-/l*_binary64`
172×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	294
1	80	292
2	201	245
3	535	227
4	1866	214

Stop Event

1×	node limit

Counts

167 → 158

Calls

Call 1

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

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

prune174.0ms (5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	158	5	163

Error

Counts

163 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.2b	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
	3.6b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	23.8b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (.f64 (+.f64 m 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))

Compiler

Compiled 5190 to 2709 computations (47.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 v (-.f64 1 m))
✓	0.1b	(/.f64 1 (/.f64 v (-.f64 1 m)))
✓	0.1b	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
✓	0.2b	(fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1)

series30.0ms (0.9%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	m	@	inf	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
2.0ms	v	@	-inf	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
2.0ms	v	@	inf	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
2.0ms	v	@	-inf	(/.f64 v (-.f64 1 m))
2.0ms	v	@	0	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
183×	`expm1-udef_binary64`
182×	`log1p-udef_binary64`
153×	`log-pow_binary64`
150×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	211	42
2	2783	42

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
315×	`associate-r_binary64`
304×	`associate-l_binary64`
233×	`fma-neg_binary64`
196×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1199
1	179	1123
2	506	1103
3	1516	1026

Stop Event

1×	node limit

Counts

238 → 199

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 m v) 1)
(-.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 (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 (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 (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)))
-1
(-.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)))
-1
(-.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)))
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(/.f64 1 v)
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
v
(+.f64 v (*.f64 v m))
(+.f64 v (+.f64 (.f64 v m) (.f64 v (pow.f64 m 2))))
(+.f64 v (+.f64 (.f64 v m) (+.f64 (.f64 v (pow.f64 m 3)) (*.f64 v (pow.f64 m 2)))))
(*.f64 -1 (/.f64 v m))
(neg.f64 (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 2))))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 2)))))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 2))))))
(*.f64 -1 (/.f64 v m))
(neg.f64 (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 2))))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 2)))))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 2))))))

Outputs
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 (/.f64 m v) (neg.f64 m))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 (/.f64 m v) (neg.f64 m))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1)
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
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v
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prune192.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	199	5	204

Error

Counts

204 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.2b	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
▶	3.6b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	23.8b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (.f64 (+.f64 m 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))

Compiler

Compiled 3787 to 2611 computations (31.1% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

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

✓

0.1b

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

✓

3.2b

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

series65.0ms (1.9%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	v	@	inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
14.0ms	v	@	-inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
11.0ms	v	@	0	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
4.0ms	v	@	inf	(*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
4.0ms	v	@	-inf	(*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))

rewrite67.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`prod-diff_binary64`
166×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
160×	`*-un-lft-identity_binary64`
155×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	335	48
2	4572	48

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

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

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

Outputs

((#(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 1 (/.f64 (+.f64 1 (fma.f64 m m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (/.f64 (pow.f64 m 3) (/.f64 (+.f64 1 (fma.f64 m m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 m 3)) (/.f64 1 (/.f64 (+.f64 1 (fma.f64 m m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (/.f64 1 (+.f64 1 (fma.f64 m m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 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 1 m))))) (#(struct:change #<rule 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(+.f64 1 (fma.f64 m m m)))) (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (sqrt.f64 (+.f64 1 (fma.f64 m m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (sqrt.f64 (+.f64 1 (fma.f64 m m m)))) (/.f64 (-.f64 1 (pow.f64 m 3)) (sqrt.f64 (+.f64 1 (fma.f64 m m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2)) (sqrt.f64 (+.f64 1 (fma.f64 m m m)))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (sqrt.f64 (+.f64 1 (fma.f64 m m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 (neg.f64 (fma.f64 m m m)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) (pow.f64 (+.f64 1 (fma.f64 m m m)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 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 (neg.f64 (pow.f64 m 3)) (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 (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 (pow.f64 m 3))) (*.f64 -1 (-.f64 1 (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (-.f64 1 (pow.f64 m 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 9)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 (+.f64 1 (pow.f64 m 6)) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 6)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 1 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 9))) (+.f64 (+.f64 1 (pow.f64 m 6)) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 6))) (+.f64 1 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 m 3))) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 m 3)) 3) (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3) (pow.f64 (-.f64 1 (pow.f64 m 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))))

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

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

490×	`times-frac_binary64`
388×	`associate-/l*_binary64`
369×	`fma-neg_binary64`
347×	`cancel-sign-sub-inv_binary64`
345×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	2208
1	200	2035
2	627	1875
3	2114	1778

Stop Event

1×	node limit

Counts

162 → 131

Calls

Call 1

Inputs
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 (pow.f64 m 3))) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 m 2) (+.f64 1 m))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 m 2) (+.f64 1 m))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) (+.f64 (pow.f64 m 2) (+.f64 1 m))) (+.f64 (/.f64 (pow.f64 m 5) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 m (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))))) (+.f64 (/.f64 (pow.f64 m 4) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (+.f64 (/.f64 (pow.f64 m 2) (.f64 v (+.f64 (pow.f64 m 2) (+.f64 1 m)))) (/.f64 1 (+.f64 (pow.f64 m 2) (+.f64 1 m))))))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (pow.f64 m 3) (/.f64 m v)) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (pow.f64 m 5) v)
(-.f64 (/.f64 (pow.f64 m 5) v) (/.f64 (pow.f64 m 4) v))
(-.f64 (+.f64 (pow.f64 m 3) (/.f64 (pow.f64 m 5) v)) (/.f64 (pow.f64 m 4) v))
(-.f64 (+.f64 (pow.f64 m 3) (/.f64 (pow.f64 m 5) v)) (+.f64 (/.f64 (pow.f64 m 4) v) (/.f64 (pow.f64 m 2) v)))
(/.f64 (pow.f64 m 5) v)
(-.f64 (/.f64 (pow.f64 m 5) v) (/.f64 (pow.f64 m 4) v))
(-.f64 (+.f64 (pow.f64 m 3) (/.f64 (pow.f64 m 5) v)) (/.f64 (pow.f64 m 4) v))
(-.f64 (+.f64 (pow.f64 m 3) (/.f64 (pow.f64 m 5) v)) (+.f64 (/.f64 (pow.f64 m 4) v) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 (pow.f64 m 3))) v)
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 (pow.f64 m 3)))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 (pow.f64 m 3)))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (pow.f64 m 3) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 5) v))) (+.f64 (/.f64 (pow.f64 m 4) v) (+.f64 1 (/.f64 (pow.f64 m 2) v))))
-1
(-.f64 (/.f64 m v) 1)
(-.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 (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 (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 (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)))
-1
(-.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)))
-1
(-.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)))

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

prune128.0ms (3.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	131	5	136

Error

Counts

136 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.2b	(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
✓	3.6b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	23.8b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (.f64 (+.f64 m 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))

Compiler

Compiled 3212 to 2099 computations (34.7% saved)

regimes845.0ms (24.3%)

Accuracy

Total 0.1b remaining (80.2%)

Threshold costs 0.1b (80.2%)

Counts

273 → 1

Compiler

Compiled 15849 to 11424 computations (27.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	20	25
2	21	25

Stop Event

1×

saturated

Calls

Call 1

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

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

end94.0ms (2.7%)

Stop Event

1×

fuel

Compiler

Compiled 157 to 108 computations (31.2% saved)

Details

analyze87.0ms (2.5%)

sample1.1s (30.5%)

preprocess41.0ms (1.2%)

simplify19.0ms (0.5%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series31.0ms (0.9%)

rewrite63.0ms (1.8%)

simplify45.0ms (1.3%)

prune229.0ms (6.6%)

localize14.0ms (0.4%)

series42.0ms (1.2%)

rewrite47.0ms (1.4%)

simplify26.0ms (0.7%)

prune174.0ms (5%)

localize7.0ms (0.2%)

series30.0ms (0.9%)

rewrite54.0ms (1.6%)

simplify40.0ms (1.1%)

prune192.0ms (5.5%)

localize12.0ms (0.3%)

series65.0ms (1.9%)

rewrite67.0ms (1.9%)

simplify50.0ms (1.4%)

prune128.0ms (3.7%)

regimes845.0ms (24.3%)

simplify2.0ms (0.1%)

end94.0ms (2.7%)

Profiling