Details

analyze34.0ms (0.9%)

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

sample1.0s (26.4%)

Results

981.0ms	8243×	body	64	valid
15.0ms	127×	body	64	invalid
2.0ms	13×	body	128	valid

preprocess106.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

820×	`fma-neg_binary64`
648×	`times-frac_binary64`
328×	`cancel-sign-sub-inv_binary64`
300×	`div-sub_binary64`
287×	`sub-neg_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
7	6446	28
8	7270	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)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1175×	`fma-def_binary64`
913×	`fma-neg_binary64`
424×	`associate-/l*_binary64`
409×	`div-sub_binary64`
299×	`associate-/l/_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
11	6548	14
12	7322	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 73 to 49 computations (32.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series8.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(.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	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)

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
501×	`prod-diff_binary64`
351×	`pow-prod-down_binary64`
264×	`pow2_binary64`
185×	`pow1/3_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 → 112

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

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

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

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

476×	`distribute-rgt-neg-in_binary64`
466×	`fma-def_binary64`
367×	`distribute-lft-neg-in_binary64`
349×	`fma-neg_binary64`
314×	`unswap-sqr_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

160 → 134

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))

prune329.0ms (8.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	127	7	134
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	128	8	136

Error

0.0b

Counts

136 → 8

Alt Table

Status	Error	Program
	5.8b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	0.9b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
	15.0b	(/.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	19.6b	(/.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
▶	0.1b	(fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m (neg.f64 m))
	33.5b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 2328 to 1480 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	20
2	2689	20

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

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

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

454×	`distribute-rgt-neg-in_binary64`
408×	`fma-def_binary64`
374×	`distribute-rgt-out--_binary64`
350×	`distribute-lft-neg-in_binary64`
332×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	741
1	66	665
2	144	665
3	349	548
4	1260	518
5	4666	518

Stop Event

1×	node limit

Counts

114 → 84

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)))
(/.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)

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

prune130.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Error

0.0b

Counts

92 → 8

Alt Table

Status	Error	Program
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
▶	0.9b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
	15.0b	(/.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	19.6b	(/.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
	5.8b	(+.f64 (.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
✓	0.1b	(fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m (neg.f64 m))
	33.5b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 1446 to 605 computations (58.2% saved)

localize27.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 m (-.f64 1 (pow.f64 m 3)))
✓	0.0b	(/.f64 (/.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v)
✓	0.1b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
✓	0.8b	(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))

series15.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	m	@	inf	(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))
1.0ms	v	@	0	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
1.0ms	m	@	-inf	(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))
1.0ms	v	@	0	(/.f64 (/.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v)
1.0ms	m	@	0	(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))

rewrite157.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`prod-diff_binary64`
355×	`fma-def_binary64`
283×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	326	46
2	4692	44

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

540×	`fma-neg_binary64`
468×	`associate-/l*_binary64`
426×	`distribute-rgt-in_binary64`
378×	`distribute-lft-in_binary64`
350×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1097
1	137	1037
2	308	927
3	1056	876
4	3884	876

Stop Event

1×	node limit

Counts

221 → 180

Calls

Call 1

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

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

prune721.0ms (18.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	176	4	180
Fresh	3	2	5
Picked	0	1	1
Done	2	0	2
Total	181	7	188

Error

0.0b

Counts

188 → 7

Alt Table

Status	Error	Program
	14.9b	(/.f64 (.f64 m (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	19.6b	(/.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)))
✓	0.9b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
	6.8b	(.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (cbrt.f64 (.f64 m m)) (cbrt.f64 m) (*.f64 (neg.f64 (pow.f64 m 3)) m)) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
	5.8b	(+.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 m) (/.f64 1 (-.f64 1 m))) -1) 1) m)
	33.5b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))

Compiler

Compiled 3832 to 2539 computations (33.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(pow.f64 (*.f64 (/.f64 v m) (/.f64 1 (-.f64 1 m))) -1)
2.0ms	m	@	inf	(pow.f64 (*.f64 (/.f64 v m) (/.f64 1 (-.f64 1 m))) -1)
1.0ms	v	@	-inf	(pow.f64 (*.f64 (/.f64 v m) (/.f64 1 (-.f64 1 m))) -1)
1.0ms	m	@	-inf	(pow.f64 (*.f64 (/.f64 v m) (/.f64 1 (-.f64 1 m))) -1)
1.0ms	v	@	inf	(pow.f64 (*.f64 (/.f64 v m) (/.f64 1 (-.f64 1 m))) -1)

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log-prod_binary64`
343×	`pow2_binary64`
331×	`prod-diff_binary64`
238×	`pow1/3_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	274	41
2	3898	41

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
682×	`sub-neg_binary64`
410×	`fma-neg_binary64`
380×	`unsub-neg_binary64`
305×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1102
1	200	1052
2	555	1039
3	1636	1037
4	6623	1037

Stop Event

1×	node limit

Counts

233 → 196

Calls

Call 1

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

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

prune713.0ms (18.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	196	7	203

Error

0.0b

Counts

203 → 7

Alt Table

Status	Error	Program
	19.6b	(/.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)))
	5.8b	(-.f64 (/.f64 (fma.f64 m m (neg.f64 (pow.f64 m 3))) v) m)
	14.9b	(/.f64 (.f64 m (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.9b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
	6.8b	(.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (cbrt.f64 (.f64 m m)) (cbrt.f64 m) (*.f64 (neg.f64 (pow.f64 m 3)) m)) (fma.f64 m (+.f64 m 1) 1)) v) 1) m)
✓	0.2b	(.f64 (-.f64 (pow.f64 (.f64 (/.f64 v m) (/.f64 1 (-.f64 1 m))) -1) 1) m)
	33.5b	(.f64 (.f64 m m) (/.f64 (-.f64 1 m) v))

Compiler

Compiled 3437 to 2263 computations (34.2% saved)

regimes32.0ms (0.8%)

Accuracy

Total -52.4b remaining (-35281.1%)

Threshold costs -52.4b (-35281.1%)

Counts

15 → 1

Calls

Call 1

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

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

Results

8.0ms	0.1b	`m`
8.0ms	0.1b	`v`
9.0ms	0.1b	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)`

Compiler

Compiled 289 to 185 computations (36% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	16	16
2	19	16
3	20	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end15.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 26 to 16 computations (38.5% saved)

Details

analyze34.0ms (0.9%)

sample1.0s (26.4%)

preprocess106.0ms (2.8%)

simplify61.0ms (1.6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series8.0ms (0.2%)

rewrite59.0ms (1.5%)

simplify87.0ms (2.3%)

prune329.0ms (8.6%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite51.0ms (1.3%)

simplify46.0ms (1.2%)

prune130.0ms (3.4%)

localize27.0ms (0.7%)

series15.0ms (0.4%)

rewrite157.0ms (4.1%)

simplify54.0ms (1.4%)

prune721.0ms (18.8%)

localize8.0ms (0.2%)

series14.0ms (0.4%)

rewrite70.0ms (1.8%)

simplify64.0ms (1.7%)

prune713.0ms (18.6%)

regimes32.0ms (0.8%)

simplify2.0ms (0.1%)

end15.0ms (0.4%)

Profiling