Details

analyze69.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.0s (42.6%)

Results

985.0ms	8256×	body	128	valid
8.0ms	70×	body	128	invalid

Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess40.0ms (1.7%)

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)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.3%)

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)

rewrite45.0ms (1.9%)

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))))))

simplify38.0ms (1.6%)

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))

prune64.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

Counts

76 → 4

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
	25.2b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	3.3b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 m))
	0.2b	(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)

Compiler

Compiled 1262 to 815 computations (35.4% 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)

series4.0ms (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)

rewrite45.0ms (1.9%)

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))))))

simplify161.0ms (6.8%)

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)

prune68.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Error

Counts

80 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
	25.2b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	3.3b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 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))

Compiler

Compiled 1388 to 859 computations (38.1% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))
✓	0.0b	(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
✓	8.5b	(/.f64 (pow.f64 m 3) v)
✓	12.5b	(/.f64 (pow.f64 m 2) v)

series14.0ms (0.6%)

Counts

4 → 33

Calls

24 calls:

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

rewrite81.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
159×	`pow1_binary64`
157×	`*-un-lft-identity_binary64`
155×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	333	50
2	4839	50

Stop Event

1×	node limit

Counts

4 → 174

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 m v) (/.f64 (pow.f64 m 3) v))

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

simplify31.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary64`
655×	`fma-neg_binary64`
512×	`cancel-sign-sub-inv_binary64`
182×	`distribute-rgt-neg-in_binary64`
167×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	408
1	83	396
2	207	372
3	622	364
4	2299	361

Stop Event

1×	node limit

Counts

207 → 187

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

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

prune166.0ms (7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	187	4	191

Error

Counts

191 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
	25.2b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
▶	3.3b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 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))

Compiler

Compiled 5489 to 3151 computations (42.6% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 (.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
	0.1b	(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
✓	3.0b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 m))

series6.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`prod-diff_binary64`
146×	`add-sqr-sqrt_binary64`
142×	`*-un-lft-identity_binary64`
142×	`pow1_binary64`
135×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	285	37
2	4134	37

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

((#(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 1 (/.f64 (+.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) (/.f64 (*.f64 m m) (/.f64 (+.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 m m)) (/.f64 1 (/.f64 (+.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 m m)) (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (/.f64 1 (+.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 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 1 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 (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) (/.f64 1 (+.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 2) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (-.f64 1 m) 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simplify41.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg_binary64`
328×	`cancel-sign-sub-inv_binary64`
206×	`fma-def_binary64`
188×	`sub-neg_binary64`
150×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1253
1	243	1200
2	707	1020
3	2629	899

Stop Event

1×	node limit

Counts

117 → 112

Calls

Call 1

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

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

prune116.0ms (4.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	146	4	150

Error

Counts

150 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
	25.2b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
✓	3.3b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 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))

Compiler

Compiled 3150 to 1980 computations (37.1% saved)

regimes165.0ms (7%)

Accuracy

Total 0.1b remaining (81%)

Threshold costs 0.1b (81%)

Counts

95 → 1

Compiler

Compiled 1275 to 782 computations (38.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	18	25

Stop Event

1×

saturated

Calls

Call 1

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

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

end74.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 108 to 71 computations (34.3% saved)

Details

analyze69.0ms (2.9%)

sample1.0s (42.6%)

preprocess40.0ms (1.7%)

simplify19.0ms (0.8%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series7.0ms (0.3%)

rewrite45.0ms (1.9%)

simplify38.0ms (1.6%)

prune64.0ms (2.7%)

localize7.0ms (0.3%)

series4.0ms (0.2%)

rewrite45.0ms (1.9%)

simplify161.0ms (6.8%)

prune68.0ms (2.9%)

localize12.0ms (0.5%)

series14.0ms (0.6%)

rewrite81.0ms (3.4%)

simplify31.0ms (1.3%)

prune166.0ms (7%)

localize10.0ms (0.4%)

series6.0ms (0.3%)

rewrite61.0ms (2.6%)

simplify41.0ms (1.7%)

prune116.0ms (4.9%)

regimes165.0ms (7%)

simplify2.0ms (0.1%)

end74.0ms (3.1%)

Profiling