Details

analyze67.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample975.0ms (35%)

Results

957.0ms	8256×	body	128	valid
6.0ms	57×	body	128	invalid

preprocess39.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

712×	`fma-def_binary64`
374×	`times-frac_binary64`
345×	`div-sub_binary64`
304×	`distribute-rgt-in_binary64`
242×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	32	38
2	82	34
3	245	34
4	953	34
5	4892	34
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) (-.f64 1 m))
(.f64 (-.f64 (/.f64 (.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-neg_binary64`
442×	`distribute-rgt-in_binary64`
376×	`unsub-neg_binary64`
325×	`fma-def_binary64`
302×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	131	17
4	464	17
5	2012	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 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
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

Compiler

Compiled 85 to 61 computations (28.2% 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 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)

series9.0ms (0.3%)

Counts

3 → 48

Calls

15 calls:

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

rewrite57.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	201	36
2	2941	34

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

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

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

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

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
318×	`fma-def_binary64`
237×	`unsub-neg_binary64`
228×	`unswap-sqr_binary64`
216×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	683
1	88	636
2	196	607
3	558	552
4	2710	542

Stop Event

1×	node limit

Counts

181 → 161

Calls

Call 1

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

prune337.0ms (12.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Error

0.0b

Counts

163 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	4.1b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	0.2b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
▶	0.1b	(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1)))
	0.2b	(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)

Compiler

Compiled 3271 to 2102 computations (35.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1))
✓	0.1b	(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1)
✓	0.2b	(*.f64 m (/.f64 m v))

series10.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	m	@	-inf	(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1)
1.0ms	v	@	0	(*.f64 m (/.f64 m v))
1.0ms	m	@	0	(*.f64 m (/.f64 m v))
1.0ms	m	@	inf	(*.f64 m (/.f64 m v))
1.0ms	v	@	inf	(*.f64 m (/.f64 m v))

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
116×	`add-sqr-sqrt_binary64`
112×	`*-un-lft-identity_binary64`
112×	`pow1_binary64`
108×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	223	41
2	3138	41

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

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

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

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

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-neg_binary64`
572×	`cancel-sign-sub-inv_binary64`
277×	`distribute-rgt-in_binary64`
209×	`distribute-rgt-neg-in_binary64`
170×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	1003
1	100	1003
2	219	1003
3	515	803
4	1912	758

Stop Event

1×	node limit

Counts

155 → 106

Calls

Call 1

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

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

prune153.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	107	4	111

Error

0.0b

Counts

111 → 4

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	4.1b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	0.2b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
▶	0.1b	(+.f64 m (+.f64 (/.f64 m v) (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)) 1)))

Compiler

Compiled 2490 to 1239 computations (50.2% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)) 1))
✓	0.0b	(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
✓	9.8b	(/.f64 (pow.f64 m 3) v)
✓	12.0b	(/.f64 (pow.f64 m 2) v)

series11.0ms (0.4%)

Counts

4 → 39

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (pow.f64 m 3) v)
1.0ms	m	@	0	(/.f64 (pow.f64 m 3) v)
1.0ms	v	@	0	(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
1.0ms	v	@	inf	(/.f64 (pow.f64 m 3) v)
1.0ms	m	@	inf	(/.f64 (pow.f64 m 3) v)

rewrite52.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

184×	`add-sqr-sqrt_binary64`
177×	`pow1_binary64`
175×	`*-un-lft-identity_binary64`
173×	`add-log-exp_binary64`
173×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	376	57

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify35.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
495×	`cancel-sign-sub-inv_binary64`
375×	`fma-def_binary64`
181×	`distribute-rgt-neg-in_binary64`
169×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	642
1	100	628
2	252	628
3	677	568
4	2305	490

Stop Event

1×	node limit

Counts

204 → 183

Calls

Call 1

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

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

prune310.0ms (11.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	182	5	187

Error

Counts

187 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	4.1b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	0.2b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
✓	0.1b	(+.f64 m (+.f64 (/.f64 m v) (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)) 1)))
▶	0.1b	(+.f64 m (+.f64 (/.f64 m v) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v))) 1)))

Compiler

Compiled 5908 to 3211 computations (45.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v))) 1))
✓	0.0b	(+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v)))
✓	1.8b	(.f64 (.f64 m m) (/.f64 m v))
	12.0b	(/.f64 (pow.f64 m 2) v)

series5.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	m	@	0	(.f64 (.f64 m m) (/.f64 m v))
0.0ms	m	@	-inf	(+.f64 (/.f64 m v) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v))) 1))
0.0ms	m	@	inf	(+.f64 (/.f64 m v) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v))) 1))
0.0ms	m	@	0	(+.f64 (/.f64 m v) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v))) 1))
0.0ms	m	@	-inf	(.f64 (.f64 m m) (/.f64 m v))

rewrite75.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`log1p-udef_binary64`
167×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
160×	`*-un-lft-identity_binary64`
156×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	348	50
2	4911	50

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
492×	`cancel-sign-sub-inv_binary64`
374×	`fma-def_binary64`
182×	`distribute-rgt-neg-in_binary64`
163×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	1005
1	100	1005
2	252	1005
3	671	853
4	2280	775

Stop Event

1×	node limit

Counts

192 → 137

Calls

Call 1

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

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

prune264.0ms (9.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	169	5	174

Error

Counts

174 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	4.1b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (fma.f64 m (+.f64 m 1) 1))
	0.2b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
✓	0.1b	(+.f64 m (+.f64 (/.f64 m v) (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)) 1)))
✓	0.1b	(+.f64 m (+.f64 (/.f64 m v) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (.f64 (*.f64 m m) (/.f64 m v))) 1)))

Compiler

Compiled 5513 to 2858 computations (48.2% saved)

regimes77.0ms (2.8%)

Accuracy

Total -3.7b remaining (-5122.6%)

Threshold costs -3.7b (-5122.6%)

Counts

46 → 1

Compiler

Compiled 650 to 358 computations (44.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	17	20
2	26	20
3	37	20
4	43	20
5	46	20
6	47	20

Stop Event

1×

saturated

Calls

Call 1

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

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

end71.0ms (2.6%)

Stop Event

1×

fuel

Compiler

Compiled 125 to 82 computations (34.4% saved)

Details

analyze67.0ms (2.4%)

sample975.0ms (35%)

preprocess39.0ms (1.4%)

simplify20.0ms (0.7%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite57.0ms (2.1%)

simplify37.0ms (1.3%)

prune337.0ms (12.1%)

localize8.0ms (0.3%)

series10.0ms (0.3%)

rewrite54.0ms (2%)

simplify39.0ms (1.4%)

prune153.0ms (5.5%)

localize13.0ms (0.5%)

series11.0ms (0.4%)

rewrite52.0ms (1.9%)

simplify35.0ms (1.2%)

prune310.0ms (11.1%)

localize12.0ms (0.4%)

series5.0ms (0.2%)

rewrite75.0ms (2.7%)

simplify40.0ms (1.4%)

prune264.0ms (9.5%)

regimes77.0ms (2.8%)

simplify3.0ms (0.1%)

end71.0ms (2.6%)

Profiling