Details

analyze74.0ms (3%)

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)

sample980.0ms (39.7%)

Results

961.0ms	8256×	body	128	valid
7.0ms	64×	body	128	invalid

preprocess39.0ms (1.6%)

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)

simplify18.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.1b	(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.2%)

Local error

Found 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 (0.3%)

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	@	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	@	-inf	(fma.f64 (-.f64 1 m) (/.f64 m v) -1)

rewrite43.0ms (1.7%)

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 expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -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 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 +.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 expm1.f64 (log1p.f64 (.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 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))))))

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 expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -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 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 +.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 expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 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))))))

simplify36.0ms (1.5%)

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))

prune93.0ms (3.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Error

0.0b

Counts

76 → 4

Alt Table

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

Compiler

Compiled 1256 to 813 computations (35.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite43.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`
96×	`pow1_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	207	21
2	2443	21

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

Outputs

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

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

simplify157.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-def_binary64`
329×	`associate-/l*_binary64`
252×	`associate-/r*_binary64`
250×	`distribute-rgt-in_binary64`
207×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	454
1	76	444
2	161	414
3	401	386
4	1469	376

Stop Event

1×	node limit

Counts

87 → 76

Calls

Call 1

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

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

prune144.0ms (5.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Error

0.0b

Counts

80 → 5

Alt Table

Status	Error	Program
	0.3b	(+.f64 m (fma.f64 (/.f64 m v) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (.f64 (cbrt.f64 (-.f64 1 m)) (-.f64 1 m))) -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))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	23.1b	(+.f64 m (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 3) -1) (+.f64 (.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) (-.f64 1 (.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)))))
	0.2b	(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))

Compiler

Compiled 1518 to 953 computations (37.2% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) 1)
✓	0.0b	(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
✓	9.3b	(/.f64 (pow.f64 m 3) v)
✓	11.7b	(/.f64 (pow.f64 m 2) v)

series13.0ms (0.5%)

Counts

4 → 33

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/.f64 (pow.f64 m 3) v)
1.0ms	m	@	0	(/.f64 (pow.f64 m 2) v)
1.0ms	v	@	0	(/.f64 (pow.f64 m 2) v)
1.0ms	v	@	-inf	(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
1.0ms	m	@	inf	(/.f64 (pow.f64 m 2) v)

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

187×	`add-sqr-sqrt_binary64`
180×	`pow1_binary64`
178×	`*-un-lft-identity_binary64`
176×	`add-log-exp_binary64`
176×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	380	63

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

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

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

simplify31.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
638×	`fma-neg_binary64`
439×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-neg-in_binary64`
169×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	468
1	101	450
2	233	408
3	612	386
4	2137	380

Stop Event

1×	node limit

Counts

178 → 163

Calls

Call 1

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

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

prune257.0ms (10.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	163	5	168

Error

0.0b

Counts

168 → 5

Alt Table

Status	Error	Program
	40.1b	(+.f64 m (-.f64 (/.f64 (+.f64 (.f64 (.f64 -2 (.f64 m m)) (.f64 v v)) (.f64 v (fma.f64 m v (.f64 v (pow.f64 m 3))))) (.f64 v (.f64 v v))) 1))
	0.2b	(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))
✓	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))
	23.1b	(+.f64 m (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 3) -1) (+.f64 (.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) (-.f64 1 (.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)))))
▶	0.1b	(+.f64 m (-.f64 (/.f64 m (/.f64 v (fma.f64 m (+.f64 m -2) 1))) 1))

Compiler

Compiled 5118 to 2792 computations (45.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite57.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`prod-diff_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
119×	`add-sqr-sqrt_binary64`
114×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	230	40
2	3282	40

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify43.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1223
1	215	1133
2	712	1100
3	3248	1100

Stop Event

1×	node limit

Counts

187 → 153

Calls

Call 1

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

prune218.0ms (8.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	153	5	158

Error

0.0b

Counts

158 → 5

Alt Table

Status	Error	Program
	40.1b	(+.f64 m (-.f64 (/.f64 (+.f64 (.f64 (.f64 -2 (.f64 m m)) (.f64 v v)) (.f64 v (fma.f64 m v (.f64 v (pow.f64 m 3))))) (.f64 v (.f64 v v))) 1))
	0.2b	(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))
✓	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))
	23.1b	(+.f64 m (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 3) -1) (+.f64 (.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) (-.f64 1 (.f64 (.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)))))
✓	0.1b	(+.f64 m (-.f64 (/.f64 m (/.f64 v (fma.f64 m (+.f64 m -2) 1))) 1))

Compiler

Compiled 3277 to 2173 computations (33.7% saved)

regimes99.0ms (4%)

Accuracy

Total -63.9b remaining (-120440.4%)

Threshold costs -63.9b (-120440.4%)

Counts

68 → 1

Compiler

Compiled 962 to 577 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	18	20
2	19	20

Stop Event

1×

saturated

Calls

Call 1

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

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

end17.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 32 to 22 computations (31.3% saved)

Details

analyze74.0ms (3%)

sample980.0ms (39.7%)

preprocess39.0ms (1.6%)

simplify18.0ms (0.7%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

series7.0ms (0.3%)

rewrite43.0ms (1.7%)

simplify36.0ms (1.5%)

prune93.0ms (3.8%)

localize7.0ms (0.3%)

series5.0ms (0.2%)

rewrite43.0ms (1.7%)

simplify157.0ms (6.3%)

prune144.0ms (5.8%)

localize12.0ms (0.5%)

series13.0ms (0.5%)

rewrite47.0ms (1.9%)

simplify31.0ms (1.2%)

prune257.0ms (10.4%)

localize8.0ms (0.3%)

series10.0ms (0.4%)

rewrite57.0ms (2.3%)

simplify43.0ms (1.8%)

prune218.0ms (8.8%)

regimes99.0ms (4%)

simplify2.0ms (0.1%)

end17.0ms (0.7%)

Profiling