Details

analyze63.0ms (2.6%)

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 24 to 17 computations (29.2% saved)

sample895.0ms (37.7%)

Results

878.0ms	8256×	body	128	valid
6.0ms	58×	body	128	invalid

Compiler

Compiled 48 to 34 computations (29.2% saved)

preprocess35.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

820×	`fma-neg_binary64`
648×	`times-frac_binary64`
255×	`associate-/l*_binary64`
195×	`fma-def_binary64`
182×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	68	28
3	159	28
4	592	28
5	1906	28
6	4511	28
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) m)
(.f64 (-.f64 (/.f64 (.f64 v (-.f64 1 v)) m) 1) v)

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify39.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-neg_binary64`
812×	`fma-def_binary64`
281×	`div-sub_binary64`
243×	`cancel-sign-sub-inv_binary64`
198×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	14
3	85	14
4	280	14
5	726	14
6	1858	14
7	3236	14
8	4027	14
9	4373	14
10	4984	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(.f64 m (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 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
	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 73 to 49 computations (32.9% saved)

localize6.0ms (0.3%)

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)
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series15.0ms (0.6%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
1.0ms	m	@	0	(/.f64 (*.f64 m (-.f64 1 m)) v)
1.0ms	m	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
1.0ms	m	@	inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
1.0ms	v	@	inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite57.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	201	46
2	2901	42

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

simplify37.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-def_binary64`
424×	`fma-neg_binary64`
422×	`associate-/l*_binary64`
307×	`cancel-sign-sub-inv_binary64`
227×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	936
1	78	837
2	162	837
3	409	837
4	1463	837

Stop Event

1×	node limit

Counts

243 → 190

Calls

Call 1

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

prune153.0ms (6.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	183	7	190
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	183	9	192

Error

0.0b

Counts

192 → 9

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	35.5b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
	6.7b	(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (/.f64 (pow.f64 m 3) v) m))
	9.9b	(.f64 (/.f64 1 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1))) m)
	39.5b	(cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	0.3b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
	33.1b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) m) v)

Compiler

Compiled 3224 to 1991 computations (38.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	m	@	-inf	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
2.0ms	m	@	-inf	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
1.0ms	v	@	-inf	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
1.0ms	m	@	0	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
1.0ms	v	@	inf	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

rewrite39.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`log-prod_binary64`
201×	`prod-diff_binary64`
173×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
164×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	186	25
2	2441	25

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

Outputs

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

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

simplify42.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

512×	`associate-l_binary64`
404×	`fma-def_binary64`
265×	`associate-/l*_binary64`
262×	`fma-neg_binary64`
244×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	668
1	68	569
2	136	569
3	330	569
4	1101	569
5	4966	569

Stop Event

1×	node limit

Counts

98 → 71

Calls

Call 1

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

prune56.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	71	9	80

Error

0.0b

Counts

80 → 9

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	35.5b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
	6.7b	(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (/.f64 (pow.f64 m 3) v) m))
	9.9b	(.f64 (/.f64 1 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1))) m)
	39.5b	(cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
▶	0.3b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
	33.1b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) m) v)

Compiler

Compiled 1216 to 799 computations (34.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
✓	0.2b	(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
✓	0.2b	(/.f64 m (sqrt.f64 v))
✓	0.3b	(/.f64 (-.f64 1 m) (sqrt.f64 v))

series24.0ms (1%)

Counts

4 → 50

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(/.f64 m (sqrt.f64 v))
3.0ms	v	@	-inf	(/.f64 (-.f64 1 m) (sqrt.f64 v))
3.0ms	v	@	-inf	(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
2.0ms	v	@	0	(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
1.0ms	v	@	0	(/.f64 (-.f64 1 m) (sqrt.f64 v))

rewrite64.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

353×	`prod-diff_binary64`
196×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`
165×	`log-pow_binary64`
153×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	228	44
2	3000	44

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

645×	`unswap-sqr_binary64`
460×	`associate-l_binary64`
357×	`associate-r_binary64`
287×	`fma-def_binary64`
216×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	618
1	73	618
2	139	591
3	318	546
4	951	537
5	4294	537

Stop Event

1×	node limit

Counts

217 → 192

Calls

Call 1

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

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

prune163.0ms (6.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	1	5	6
Picked	0	1	1
Done	1	1	2
Total	193	8	201

Error

0.0b

Counts

201 → 8

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	35.5b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
	9.9b	(.f64 (/.f64 1 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1))) m)
	39.5b	(cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
✓	0.3b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
▶	0.2b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
	33.1b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) m) v)

Compiler

Compiled 4679 to 2442 computations (47.8% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

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

rewrite72.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`fma-def_binary64`
266×	`fma-neg_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`
147×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	190	36
2	3016	36

Stop Event

1×	node limit

Counts

3 → 262

Calls

Call 1

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

Outputs

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

simplify38.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-def_binary64`
549×	`fma-neg_binary64`
452×	`cancel-sign-sub-inv_binary64`
288×	`distribute-rgt-in_binary64`
247×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	690
1	63	690
2	154	690
3	451	690
4	1714	690

Stop Event

1×	node limit

Counts

322 → 281

Calls

Call 1

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

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

prune210.0ms (8.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	278	3	281
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	281	8	289

Error

Counts

289 → 8

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	35.5b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
	6.9b	(-.f64 (/.f64 (-.f64 (.f64 m m) (pow.f64 m 4)) (.f64 (/.f64 v m) (fma.f64 m m m))) m)
	0.1b	(-.f64 (/.f64 m (/.f64 v (-.f64 m (*.f64 m m)))) m)
	6.7b	(-.f64 (/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v) m)
	9.9b	(.f64 (/.f64 1 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1))) m)
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
✓	0.3b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)

Compiler

Compiled 5586 to 1660 computations (70.3% saved)

regimes183.0ms (7.7%)

Accuracy

Total 0.2b remaining (93.3%)

Threshold costs 0.2b (93.3%)

Counts

106 → 1

Compiler

Compiled 1255 to 645 computations (48.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	23	16
3	27	16
4	29	16

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (/.f64 m (/.f64 v (-.f64 m (*.f64 m m)))) m)

end103.0ms (4.3%)

Stop Event

1×

fuel

Compiler

Compiled 156 to 99 computations (36.5% saved)

Details

analyze63.0ms (2.6%)

sample895.0ms (37.7%)

preprocess35.0ms (1.5%)

simplify39.0ms (1.6%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series15.0ms (0.6%)

rewrite57.0ms (2.4%)

simplify37.0ms (1.6%)

prune153.0ms (6.5%)

localize6.0ms (0.2%)

series8.0ms (0.3%)

rewrite39.0ms (1.6%)

simplify42.0ms (1.8%)

prune56.0ms (2.3%)

localize8.0ms (0.3%)

series24.0ms (1%)

rewrite64.0ms (2.7%)

simplify44.0ms (1.8%)

prune163.0ms (6.8%)

localize6.0ms (0.3%)

series7.0ms (0.3%)

rewrite72.0ms (3%)

simplify38.0ms (1.6%)

prune210.0ms (8.8%)

regimes183.0ms (7.7%)

simplify2.0ms (0.1%)

end103.0ms (4.3%)

Profiling