Details

analyze62.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

sample982.0ms (46%)

Results

964.0ms	8256×	body	128	valid
7.0ms	66×	body	128	invalid

preprocess36.0ms (1.7%)

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)

simplify42.0ms (1.9%)

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))

eval1.0ms (0%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 50 to 34 computations (32% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.4%)

Counts

3 → 48

Calls

15 calls:

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

rewrite53.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	201	33
2	2901	31

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

151 → 125

Calls

Call 1

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

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

eval35.0ms (1.6%)

Compiler: Compiled 1859 to 1151 computations (38.1% saved)

prune49.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	121	6	127

Error

0.0b

Counts

127 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
	36.6b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
	12.2b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
	6.6b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
▶	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)

Compiler

Compiled 189 to 135 computations (28.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite55.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`prod-diff_binary64`
239×	`fma-def_binary64`
191×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
186×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	223	31
2	3090	31

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

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

Outputs

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

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

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

simplify46.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

407×	`fma-def_binary64`
344×	`associate-/l*_binary64`
329×	`fma-neg_binary64`
279×	`cancel-sign-sub-inv_binary64`
214×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	988
1	76	828
2	159	828
3	372	711
4	1290	681
5	4722	681

Stop Event

1×	node limit

Counts

180 → 130

Calls

Call 1

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

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

eval39.0ms (1.8%)

Compiler: Compiled 2005 to 1301 computations (35.1% saved)

prune51.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	130	6	136

Error

0.0b

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	26.5b	(.f64 (/.f64 m v) (.f64 m (-.f64 1 m)))
▶	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	12.2b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	6.6b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)

Compiler

Compiled 181 to 125 computations (30.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m)
1.0ms	m	@	0	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m)
1.0ms	v	@	inf	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m)
1.0ms	v	@	-inf	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m)
0.0ms	m	@	inf	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))

rewrite55.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`fma-neg_binary64`
239×	`fma-def_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`
155×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	225	23
2	3546	23

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary64`
338×	`fma-neg_binary64`
277×	`cancel-sign-sub-inv_binary64`
241×	`difference-of-squares_binary64`
235×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	786
1	54	731
2	118	731
3	310	614
4	1088	584
5	4242	584

Stop Event

1×	node limit

Counts

172 → 138

Calls

Call 1

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

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

eval55.0ms (2.6%)

Compiler: Compiled 3780 to 1351 computations (64.3% saved)

prune102.0ms (4.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	225	3	228
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	227	7	234

Error

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) m) (neg.f64 m))
	11.4b	(fma.f64 m (+.f64 -1 (/.f64 (fma.f64 m m m) v)) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))
✓	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	26.5b	(.f64 (/.f64 m v) (.f64 m (-.f64 1 m)))
✓	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	12.2b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	6.6b	(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) (neg.f64 m))

Compiler

Compiled 209 to 138 computations (34% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

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

rewrite64.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`fma-neg_binary64`
208×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`
136×	`add-sqr-sqrt_binary64`
132×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	269	43
2	4095	43

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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

simplify55.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

458×	`fma-def_binary64`
333×	`fma-neg_binary64`
228×	`times-frac_binary64`
195×	`associate-/l*_binary64`
193×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	1217
1	148	1183
2	391	1171
3	1148	1171
4	4781	1171

Stop Event

1×	node limit

Counts

258 → 198

Calls

Call 1

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

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

eval56.0ms (2.6%)

Compiler: Compiled 3423 to 1628 computations (52.4% saved)

prune95.0ms (4.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	198	7	205

Error

Counts

205 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) m) (neg.f64 m))
	11.4b	(fma.f64 m (+.f64 -1 (/.f64 (fma.f64 m m m) v)) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))
✓	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	26.5b	(.f64 (/.f64 m v) (.f64 m (-.f64 1 m)))
✓	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	12.2b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	6.6b	(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) (neg.f64 m))

Compiler

Compiled 119 to 79 computations (33.6% saved)

regimes33.0ms (1.5%)

Accuracy

Total -49.4b remaining (-32773.8%)

Threshold costs -49.4b (-32773.8%)

Counts

13 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
12.0ms	0.2b	1	`m`
7.0ms	0.2b	1	`v`
8.0ms	0.2b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)`

Compiler

Compiled 206 to 129 computations (37.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	20	16
2	23	16
3	24	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end17.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 26 to 16 computations (38.5% saved)

Details

analyze62.0ms (2.9%)

sample982.0ms (46%)

preprocess36.0ms (1.7%)

simplify42.0ms (1.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

series9.0ms (0.4%)

rewrite53.0ms (2.5%)

simplify43.0ms (2%)

eval35.0ms (1.6%)

prune49.0ms (2.3%)

localize7.0ms (0.3%)

series6.0ms (0.3%)

rewrite55.0ms (2.6%)

simplify46.0ms (2.2%)

eval39.0ms (1.8%)

prune51.0ms (2.4%)

localize7.0ms (0.3%)

series7.0ms (0.3%)

rewrite55.0ms (2.6%)

simplify43.0ms (2%)

eval55.0ms (2.6%)

prune102.0ms (4.8%)

localize8.0ms (0.4%)

series13.0ms (0.6%)

rewrite64.0ms (3%)

simplify55.0ms (2.6%)

eval56.0ms (2.6%)

prune95.0ms (4.4%)

regimes33.0ms (1.5%)

simplify2.0ms (0.1%)

end17.0ms (0.8%)

Profiling