Details

analyze93.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample984.0ms (31%)

Results

962.0ms	8256×	body	128	valid
6.0ms	57×	body	128	invalid

preprocess37.0ms (1.2%)

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 (0.6%)

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))

eval1.0ms (0%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.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 58 to 42 computations (27.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite45.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
89×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	183	28
2	2348	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

339×	`fma-def_binary64`
255×	`unsub-neg_binary64`
230×	`unswap-sqr_binary64`
221×	`associate-l_binary64`
214×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	784
1	96	728
2	210	699
3	578	587
4	2738	587

Stop Event

1×	node limit

Counts

94 → 74

Calls

Call 1

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

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

eval23.0ms (0.7%)

Compiler: Compiled 1118 to 711 computations (36.4% saved)

prune208.0ms (6.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	3.8b	(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))
	0.1b	(+.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 -1 (-.f64 1 m)))
	0.2b	(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))
▶	0.1b	(+.f64 (/.f64 m v) (+.f64 (+.f64 -1 m) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))))

Compiler

Compiled 148 to 102 computations (31.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
1.0ms	m	@	0	(*.f64 m (/.f64 m v))
1.0ms	v	@	0	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
1.0ms	v	@	0	(*.f64 m (/.f64 m v))
1.0ms	m	@	-inf	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))

rewrite72.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
152×	`*-un-lft-identity_binary64`
152×	`pow1_binary64`
146×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	293	43
2	4827	43

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 m (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 m m) (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 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 log1p.f64 (expm1.f64 (.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 m (.f64 (/.f64 m v) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 m 3) v) (.f64 m (.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 m (.f64 (/.f64 m v) -2)) 1) (.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 m m) (+.f64 -8 (pow.f64 m 3))) (.f64 v (+.f64 4 (.f64 m (-.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 m m) (-.f64 4 (.f64 m m))) (.f64 v (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -8 (pow.f64 m 3)) (.f64 m m)) (.f64 (+.f64 4 (.f64 m (-.f64 m -2))) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 m m)) (.f64 m m)) (.f64 (-.f64 -2 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 m (.f64 (/.f64 m v) -2)) 3) (pow.f64 (/.f64 (pow.f64 m 3) v) 3)) (+.f64 (.f64 (.f64 m (.f64 (/.f64 m v) -2)) (.f64 m (.f64 (/.f64 m v) -2))) (-.f64 (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (.f64 (.f64 m (.f64 (/.f64 m v) -2)) (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 m (.f64 (/.f64 m v) -2)) (.f64 m (.f64 (/.f64 m v) -2))) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v))) (-.f64 (.f64 m (.f64 (/.f64 m v) -2)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 m m) (+.f64 m -2)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -8 (pow.f64 m 3)) (.f64 m (/.f64 m v))) (+.f64 4 (.f64 m (-.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 m m)) (.f64 m (/.f64 m v))) (-.f64 -2 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 m (/.f64 m v)) (+.f64 -8 (pow.f64 m 3))) (+.f64 4 (.f64 m (-.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 m (/.f64 m v)) (-.f64 4 (.f64 m m))) (-.f64 -2 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (.f64 (/.f64 m v) (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 m (/.f64 m v)) -2 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (.f64 m (/.f64 m v)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 m m) (+.f64 m -2)) v)))))))
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Outputs

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

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-def_binary64`
249×	`unsub-neg_binary64`
245×	`distribute-rgt-neg-in_binary64`
205×	`cancel-sign-sub_binary64`
182×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	1068
1	108	1066
2	259	1050
3	713	874
4	3124	832

Stop Event

1×	node limit

Counts

176 → 127

Calls

Call 1

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

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

eval52.0ms (1.6%)

Compiler: Compiled 3527 to 1910 computations (45.8% saved)

prune310.0ms (9.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Error

Counts

131 → 3

Alt Table

Click to see full alt table

Status

Error

Program

0.2b

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

3.8b

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

▶

0.1b

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

Compiler

Compiled 108 to 74 computations (31.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v)
1.0ms	v	@	-inf	(/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v)
1.0ms	m	@	0	(/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v)
1.0ms	m	@	-inf	(/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v)
0.0ms	v	@	inf	(/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v)

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
255×	`fma-def_binary64`
218×	`prod-diff_binary64`
199×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	223	42
2	2968	42

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
513×	`fma-def_binary64`
383×	`associate-l_binary64`
345×	`associate-r_binary64`
277×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	942
1	87	922
2	170	922
3	360	786
4	992	786
5	4199	786

Stop Event

1×	node limit

Counts

171 → 138

Calls

Call 1

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

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

eval52.0ms (1.6%)

Compiler: Compiled 2898 to 1805 computations (37.7% saved)

prune324.0ms (10.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Click to see full alt table

Status

Error

Program

0.2b

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

▶

0.1b

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

0.1b

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

Compiler

Compiled 108 to 76 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite58.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`fma-def_binary64`
240×	`prod-diff_binary64`
215×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`
167×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	243	40
2	3378	40

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

754×	`times-frac_binary64`
404×	`fma-def_binary64`
283×	`distribute-rgt-neg-in_binary64`
230×	`associate-r_binary64`
228×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1223
1	215	1133
2	713	1100
3	3238	1100

Stop Event

1×	node limit

Counts

208 → 174

Calls

Call 1

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

Outputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(+.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 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 m 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)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 m 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))
(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 -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 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 m 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)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 m 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))
(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 -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 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 m 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)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
(/.f64 v (+.f64 1 (*.f64 (-.f64 m 2) m)))
(/.f64 v (+.f64 1 (*.f64 m (+.f64 m -2))))
(/.f64 v (fma.f64 m (+.f64 m -2) 1))
v
(+.f64 v (.f64 2 (.f64 v m)))
(+.f64 v (.f64 2 (.f64 m v)))
(fma.f64 2 (*.f64 m v) v)
(fma.f64 m (+.f64 v v) v)
(+.f64 v (+.f64 (.f64 2 (.f64 v m)) (.f64 -1 (.f64 (+.f64 v (*.f64 -4 v)) (pow.f64 m 2)))))
(+.f64 v (fma.f64 2 (.f64 m v) (neg.f64 (.f64 (.f64 m m) (.f64 -3 v)))))
(-.f64 (fma.f64 2 (.f64 m v) v) (.f64 m (.f64 m (.f64 v -3))))
(fma.f64 (.f64 m m) (.f64 v 3) (fma.f64 m (+.f64 v v) v))
(fma.f64 m (+.f64 v v) (fma.f64 (.f64 m m) (.f64 v 3) v))
(+.f64 v (+.f64 (.f64 2 (.f64 v m)) (+.f64 (.f64 -1 (.f64 (+.f64 v (.f64 -4 v)) (pow.f64 m 2))) (.f64 -1 (.f64 (pow.f64 m 3) (+.f64 (.f64 2 (+.f64 v (.f64 -4 v))) (.f64 2 v)))))))
(+.f64 v (fma.f64 2 (.f64 m v) (fma.f64 -1 (.f64 (.f64 m m) (.f64 -3 v)) (neg.f64 (.f64 (pow.f64 m 3) (.f64 2 (+.f64 (*.f64 -3 v) v)))))))
(+.f64 v (fma.f64 2 (.f64 m v) (fma.f64 (.f64 3 v) (.f64 m m) (.f64 (pow.f64 m 3) (.f64 -2 (.f64 v -2))))))
(+.f64 v (fma.f64 (pow.f64 m 3) (.f64 v 4) (.f64 m (-.f64 (+.f64 v v) (.f64 m (.f64 v -3))))))
(+.f64 v (fma.f64 m (+.f64 v v) (.f64 (.f64 m m) (+.f64 (.f64 v 3) (.f64 m (*.f64 v 4))))))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(+.f64 (*.f64 2 (/.f64 v (pow.f64 m 3))) (/.f64 v (pow.f64 m 2)))
(fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (*.f64 m m)))
(.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m)))
(+.f64 (.f64 -1 (/.f64 (+.f64 v (.f64 -4 v)) (pow.f64 m 4))) (+.f64 (*.f64 2 (/.f64 v (pow.f64 m 3))) (/.f64 v (pow.f64 m 2))))
(fma.f64 -1 (/.f64 (.f64 -3 v) (pow.f64 m 4)) (fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (.f64 m m))))
(+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (.f64 m m))) (/.f64 (.f64 3 v) (pow.f64 m 4)))
(+.f64 (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))) (/.f64 3 (/.f64 (pow.f64 m 4) v)))
(+.f64 (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))) (*.f64 v (/.f64 3 (pow.f64 m 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 v (.f64 -4 v)) (pow.f64 m 4))) (+.f64 (.f64 2 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 v (pow.f64 m 2)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 v (.f64 -4 v))) (*.f64 2 v)) (pow.f64 m 5))))))
(fma.f64 -1 (/.f64 (.f64 -3 v) (pow.f64 m 4)) (+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (.f64 m m))) (neg.f64 (/.f64 (.f64 2 (+.f64 (.f64 -3 v) v)) (pow.f64 m 5)))))
(+.f64 (/.f64 (.f64 3 v) (pow.f64 m 4)) (+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (.f64 m m))) (/.f64 (.f64 -2 (.f64 v -2)) (pow.f64 m 5))))
(+.f64 (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))) (+.f64 (/.f64 3 (/.f64 (pow.f64 m 4) v)) (/.f64 (*.f64 v 4) (pow.f64 m 5))))
(+.f64 (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))) (+.f64 (.f64 v (/.f64 3 (pow.f64 m 4))) (/.f64 (.f64 v 4) (pow.f64 m 5))))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(+.f64 (*.f64 2 (/.f64 v (pow.f64 m 3))) (/.f64 v (pow.f64 m 2)))
(fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (*.f64 m m)))
(.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m)))
(+.f64 (.f64 -1 (/.f64 (+.f64 v (.f64 -4 v)) (pow.f64 m 4))) (+.f64 (*.f64 2 (/.f64 v (pow.f64 m 3))) (/.f64 v (pow.f64 m 2))))
(fma.f64 -1 (/.f64 (.f64 -3 v) (pow.f64 m 4)) (fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (.f64 m m))))
(+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 3)) (/.f64 v (.f64 m m))) (/.f64 (.f64 3 v) (pow.f64 m 4)))
(+.f64 (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))) (/.f64 3 (/.f64 (pow.f64 m 4) v)))
(+.f64 (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))) (*.f64 v (/.f64 3 (pow.f64 m 4))))
(+.f64 (.f64 -2 (/.f64 (+.f64 v (.f64 -4 v)) (pow.f64 m 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 v (.f64 -4 v)) (pow.f64 m 4))) (+.f64 (.f64 2 (/.f64 v (pow.f64 m 3))) (+.f64 (.f64 -2 (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 2))))))
(fma.f64 -2 (/.f64 (.f64 -3 v) (pow.f64 m 5)) (fma.f64 -1 (/.f64 (.f64 -3 v) (pow.f64 m 4)) (fma.f64 2 (/.f64 v (pow.f64 m 3)) (fma.f64 -2 (/.f64 v (pow.f64 m 5)) (/.f64 v (*.f64 m m))))))
(+.f64 (/.f64 (.f64 3 v) (pow.f64 m 4)) (+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 3)) (fma.f64 -2 (/.f64 v (pow.f64 m 5)) (/.f64 v (.f64 m m)))) (/.f64 (*.f64 6 v) (pow.f64 m 5))))
(+.f64 (/.f64 3 (/.f64 (pow.f64 m 4) v)) (+.f64 (/.f64 (.f64 v 6) (pow.f64 m 5)) (fma.f64 -2 (/.f64 v (pow.f64 m 5)) (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (*.f64 m m))))))
(+.f64 (.f64 v (/.f64 3 (pow.f64 m 4))) (+.f64 (/.f64 (.f64 v 6) (pow.f64 m 5)) (fma.f64 -2 (/.f64 v (pow.f64 m 5)) (.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (.f64 m m))))))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(-.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 (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v)) -1)
(+.f64 (/.f64 m v) (fma.f64 -2 (*.f64 (/.f64 m v) m) -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 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 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (fma.f64 -2 (*.f64 (/.f64 m 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 -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 -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 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.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 (fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.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 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (fma.f64 -2 (*.f64 (/.f64 m 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 -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 -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 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.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 (fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.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 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (fma.f64 -2 (*.f64 (/.f64 m v) m) -1))
(/.f64 (.f64 m (+.f64 1 (.f64 (-.f64 m 2) m))) v)
(/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m))
(*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1))
(*.f64 m (/.f64 (fma.f64 m (+.f64 m -2) 1) v))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
-1
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (-.f64 m 2) m)) m) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
-1
(-.f64 (/.f64 (.f64 m (+.f64 1 (.f64 (-.f64 m 2) m))) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
(-.f64 (/.f64 (.f64 m (+.f64 1 (.f64 (-.f64 m 2) m))) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)
(-.f64 (/.f64 (.f64 m (+.f64 1 (.f64 (-.f64 m 2) m))) v) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 m (+.f64 m -2))) (/.f64 v m)) -1)
(+.f64 -1 (*.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1)))
(fma.f64 (/.f64 m v) (fma.f64 m (+.f64 m -2) 1) -1)

eval68.0ms (2.1%)

Compiler: Compiled 3584 to 2355 computations (34.3% saved)

prune492.0ms (15.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	173	4	177

Error

Counts

177 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 76 to 54 computations (28.9% saved)

regimes26.0ms (0.8%)

Accuracy

Total -3.9b remaining (-11223.1%)

Threshold costs -3.9b (-11223.1%)

Counts

12 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
7.0ms	0.0b	1	`m`
10.0ms	0.0b	1	`v`
4.0ms	0.0b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))`

Compiler

Compiled 217 to 141 computations (35% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end18.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 30 to 20 computations (33.3% saved)

Details

analyze93.0ms (2.9%)

sample984.0ms (31%)

preprocess37.0ms (1.2%)

simplify20.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series7.0ms (0.2%)

rewrite45.0ms (1.4%)

simplify35.0ms (1.1%)

eval23.0ms (0.7%)

prune208.0ms (6.6%)

localize8.0ms (0.3%)

series10.0ms (0.3%)

rewrite72.0ms (2.3%)

simplify44.0ms (1.4%)

eval52.0ms (1.6%)

prune310.0ms (9.8%)

localize10.0ms (0.3%)

series6.0ms (0.2%)

rewrite57.0ms (1.8%)

simplify48.0ms (1.5%)

eval52.0ms (1.6%)

prune324.0ms (10.2%)

localize8.0ms (0.2%)

series10.0ms (0.3%)

rewrite58.0ms (1.8%)

simplify43.0ms (1.4%)

eval68.0ms (2.1%)

prune492.0ms (15.5%)

regimes26.0ms (0.8%)

simplify2.0ms (0.1%)

end18.0ms (0.6%)

Profiling