Details

analyze65.0ms (2.1%)

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)

sample901.0ms (29.9%)

Results

879.0ms	8256×	body	128	valid
7.0ms	70×	body	128	invalid

Compiler

Compiled 48 to 34 computations (29.2% saved)

preprocess34.0ms (1.1%)

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)

simplify43.0ms (1.4%)

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

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.3b	(*.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 4 expressions with local error:

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

series31.0ms (1%)

Counts

4 → 80

Calls

21 calls:

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

rewrite55.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

243 → 190

Calls

Call 1

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

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

prune171.0ms (5.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	181	9	190
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	183	9	192

Error

0.0b

Counts

192 → 9

Alt Table

Status	Error	Program
	11.3b	(.f64 (fma.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 1 v)) -1) m)
	0.3b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	37.1b	(exp.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
▶	0.2b	(-.f64 (.f64 (.f64 m (/.f64 m v)) (-.f64 1 m)) m)
	28.7b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) m) v)
	35.0b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	15.4b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	0.4b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)

Compiler

Compiled 3251 to 2010 computations (38.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series35.0ms (1.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite61.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff_binary64`
182×	`expm1-udef_binary64`
181×	`log1p-udef_binary64`
117×	`egg-rr`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	200	36
2	2882	36

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

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

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

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
294×	`distribute-rgt-in_binary64`
257×	`distribute-lft-in_binary64`
182×	`distribute-rgt-out_binary64`
179×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	782
1	63	782
2	160	782
3	480	782
4	1969	782

Stop Event

1×	node limit

Counts

238 → 181

Calls

Call 1

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

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

prune142.0ms (4.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	182	8	190

Error

Counts

190 → 8

Alt Table

Status	Error	Program
	11.3b	(.f64 (fma.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 1 v)) -1) m)
	0.3b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	6.5b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 m m) (sqrt.f64 v)) (sqrt.f64 v)) (-.f64 1 m)) m)
✓	0.2b	(-.f64 (.f64 (.f64 m (/.f64 m v)) (-.f64 1 m)) m)
	8.3b	(-.f64 (/.f64 (.f64 (.f64 m m) (-.f64 1 (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m)))) m)
▶	0.2b	(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
	6.3b	(-.f64 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) m)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)

Compiler

Compiled 3795 to 1786 computations (52.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series35.0ms (1.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite69.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`prod-diff_binary64`
185×	`log1p-udef_binary64`
146×	`egg-rr`
106×	`add-sqr-sqrt_binary64`
104×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	205	36
2	3090	36

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Outputs

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

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

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

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
294×	`distribute-rgt-in_binary64`
257×	`distribute-lft-in_binary64`
182×	`distribute-rgt-out_binary64`
179×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	782
1	63	782
2	160	782
3	480	782
4	1969	782

Stop Event

1×	node limit

Counts

301 → 243

Calls

Call 1

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

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

prune197.0ms (6.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	241	2	243
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	243	8	251

Error

Counts

251 → 8

Alt Table

Status	Error	Program
	11.3b	(.f64 (fma.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 1 v)) -1) m)
	0.3b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
✓	0.2b	(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
▶	0.3b	(-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 1 m)) m)
✓	0.2b	(-.f64 (.f64 (.f64 m (/.f64 m v)) (-.f64 1 m)) m)
	6.3b	(-.f64 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) m)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	0.4b	(-.f64 (.f64 (.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m)) (-.f64 1 m)) m)

Compiler

Compiled 5017 to 2275 computations (54.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series26.0ms (0.9%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`prod-diff_binary64`
195×	`egg-rr`
122×	`add-sqr-sqrt_binary64`
119×	`*-un-lft-identity_binary64`
119×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	234	29
2	3629	29

Stop Event

1×	node limit

Counts

2 → 239

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
294×	`distribute-rgt-in_binary64`
257×	`distribute-lft-in_binary64`
182×	`distribute-rgt-out_binary64`
179×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	614
1	63	614
2	160	614
3	480	614
4	1969	614

Stop Event

1×	node limit

Counts

287 → 254

Calls

Call 1

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

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

prune299.0ms (9.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	346	7	353

Error

Counts

353 → 7

Alt Table

Status	Error	Program
	11.3b	(.f64 (fma.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 1 v)) -1) m)
✓	0.2b	(-.f64 (.f64 (.f64 m (/.f64 m v)) (-.f64 1 m)) m)
✓	0.2b	(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
	6.3b	(-.f64 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) m)
	0.3b	(-.f64 (/.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) (/.f64 1 m)) m)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	0.4b	(-.f64 (.f64 (.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (sqrt.f64 m)) (sqrt.f64 m)) m)

Compiler

Compiled 7806 to 4517 computations (42.1% saved)

regimes499.0ms (16.6%)

Accuracy

Total 0.2b remaining (92.8%)

Threshold costs 0.2b (92.8%)

Counts

177 → 1

Compiler

Compiled 8513 to 5744 computations (32.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16
2	19	16
3	21	16
4	22	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end87.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 136 to 89 computations (34.6% saved)

Details

analyze65.0ms (2.1%)

sample901.0ms (29.9%)

preprocess34.0ms (1.1%)

simplify43.0ms (1.4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series31.0ms (1%)

rewrite55.0ms (1.8%)

simplify38.0ms (1.2%)

prune171.0ms (5.7%)

localize6.0ms (0.2%)

series35.0ms (1.2%)

rewrite61.0ms (2%)

simplify38.0ms (1.2%)

prune142.0ms (4.7%)

localize6.0ms (0.2%)

series35.0ms (1.2%)

rewrite69.0ms (2.3%)

simplify39.0ms (1.3%)

prune197.0ms (6.5%)

localize8.0ms (0.3%)

series26.0ms (0.9%)

rewrite80.0ms (2.7%)

simplify37.0ms (1.2%)

prune299.0ms (9.9%)

regimes499.0ms (16.6%)

simplify2.0ms (0.1%)

end87.0ms (2.9%)

Profiling