Details

analyze62.0ms (2.4%)

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)

sample926.0ms (35.7%)

Results

908.0ms	8256×	body	128	valid
7.0ms	66×	body	128	invalid

preprocess56.0ms (2.2%)

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)

simplify41.0ms (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 (0.2%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.3%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
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)
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	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite54.0ms (2.1%)

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	33
1	201	33
2	2901	31

Stop Event

1×	node limit

Counts

3 → 103

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))

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 expm1.f64 (log1p.f64 (.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(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 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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))) (#(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 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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (.f64 m (-.f64 1 m))))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))))

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 expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(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 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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(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 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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))))

simplify41.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

466×	`fma-def_binary64`
349×	`fma-neg_binary64`
304×	`associate-/l*_binary64`
273×	`cancel-sign-sub-inv_binary64`
214×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	646
1	67	585
2	142	585
3	349	531
4	1234	474
5	4973	474

Stop Event

1×	node limit

Counts

151 → 125

Calls

Call 1

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

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

prune142.0ms (5.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Error

0.0b

Counts

127 → 8

Alt Table

Status	Error	Program
	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	14.9b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
▶	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	0.9b	(.f64 (-.f64 (.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v))) 1) m)
	30.9b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
	7.5b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
	42.7b	(cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))

Compiler

Compiled 2102 to 1320 computations (37.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.5%)

Counts

4 → 84

Calls

24 calls:

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

rewrite64.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`prod-diff_binary64`
211×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
126×	`add-sqr-sqrt_binary64`
122×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	247	43
2	3505	43

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
270×	`cancel-sign-sub-inv_binary64`
265×	`times-frac_binary64`
251×	`fma-def_binary64`
208×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1128
1	182	1072
2	514	1048
3	1654	1032

Stop Event

1×	node limit

Counts

233 → 198

Calls

Call 1

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

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

prune275.0ms (10.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	199	7	206

Error

0.0b

Counts

206 → 7

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (-.f64 (pow.f64 (.f64 v (/.f64 1 (*.f64 m (-.f64 1 m)))) -1) 1) m)
	30.9b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))
✓	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	14.9b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
	0.3b	(*.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m))) 1) m)
	7.5b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))

Compiler

Compiled 3602 to 2424 computations (32.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (*.f64 m (-.f64 1 m)))
✓	0.2b	(.f64 (-.f64 (pow.f64 (.f64 v (/.f64 1 (*.f64 m (-.f64 1 m)))) -1) 1) m)
✓	0.2b	(pow.f64 (.f64 v (/.f64 1 (.f64 m (-.f64 1 m)))) -1)
✓	0.3b	(.f64 v (/.f64 1 (.f64 m (-.f64 1 m))))

series6.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite59.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
189×	`fma-def_binary64`
146×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	266	46
2	3573	46

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify40.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-def_binary64`
405×	`fma-neg_binary64`
261×	`times-frac_binary64`
222×	`associate-/r*_binary64`
214×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	1132
1	201	1084
2	561	1072
3	1665	1072

Stop Event

1×	node limit

Counts

196 → 158

Calls

Call 1

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

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

prune185.0ms (7.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	158	7	165

Error

0.0b

Counts

165 → 7

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (-.f64 (pow.f64 (.f64 v (/.f64 1 (*.f64 m (-.f64 1 m)))) -1) 1) m)
	30.9b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))
✓	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	14.9b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
▶	0.3b	(*.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m))) 1) m)
	7.5b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))

Compiler

Compiled 2850 to 2001 computations (29.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 v (-.f64 1 m))
✓	0.2b	(*.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m))) 1) m)
✓	0.2b	(/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m))
✓	0.3b	(/.f64 (sqrt.f64 m) (/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m)))

series12.0ms (0.5%)

Counts

3 → 52

Calls

18 calls:

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

rewrite62.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`prod-diff_binary64`
131×	`add-sqr-sqrt_binary64`
127×	`*-un-lft-identity_binary64`
127×	`pow1_binary64`
121×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	253	38
2	3803	38

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

408×	`fma-def_binary64`
345×	`associate-/l*_binary64`
332×	`fma-neg_binary64`
286×	`cancel-sign-sub-inv_binary64`
226×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	799
1	72	734
2	154	734
3	365	635
4	1291	609
5	4749	609

Stop Event

1×	node limit

Counts

157 → 125

Calls

Call 1

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

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

prune238.0ms (9.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	175	7	182

Error

0.0b

Counts

182 → 7

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (-.f64 (pow.f64 (.f64 v (/.f64 1 (*.f64 m (-.f64 1 m)))) -1) 1) m)
	30.9b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))
✓	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	14.9b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
✓	0.3b	(*.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m))) 1) m)
	7.5b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))

Compiler

Compiled 3323 to 2042 computations (38.5% saved)

regimes102.0ms (3.9%)

Accuracy

Total -45.9b remaining (-20302.7%)

Threshold costs -45.9b (-20302.7%)

Counts

61 → 1

Compiler

Compiled 734 to 449 computations (38.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	18	19
2	22	19
3	24	19
4	25	19

Stop Event

1×

saturated

Calls

Call 1

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

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

end85.0ms (3.3%)

Stop Event

1×

fuel

Compiler

Compiled 132 to 89 computations (32.6% saved)

Details

analyze62.0ms (2.4%)

sample926.0ms (35.7%)

preprocess56.0ms (2.2%)

simplify41.0ms (1.6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite54.0ms (2.1%)

simplify41.0ms (1.6%)

prune142.0ms (5.5%)

localize8.0ms (0.3%)

series14.0ms (0.5%)

rewrite64.0ms (2.5%)

simplify39.0ms (1.5%)

prune275.0ms (10.6%)

localize9.0ms (0.4%)

series6.0ms (0.2%)

rewrite59.0ms (2.3%)

simplify40.0ms (1.5%)

prune185.0ms (7.1%)

localize9.0ms (0.3%)

series12.0ms (0.5%)

rewrite62.0ms (2.4%)

simplify46.0ms (1.8%)

prune238.0ms (9.2%)

regimes102.0ms (3.9%)

simplify2.0ms (0.1%)

end85.0ms (3.3%)

Profiling