Details

analyze61.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.5%	87.5%	0%	0%	0%	0
0%	0%	12.5%	87.5%	0%	0%	0%	1
0%	0%	12.5%	87.5%	0%	0%	0%	2
25%	3.1%	9.3%	87.5%	0%	0%	0%	3
33.3%	3.1%	6.2%	87.5%	3.1%	0%	0%	4
50%	4.7%	4.7%	87.5%	3.1%	0%	0%	5
57.1%	4.7%	3.5%	87.5%	4.3%	0%	0%	6
69%	5.6%	2.5%	87.5%	4.3%	0%	0%	7
77.2%	5.9%	1.8%	87.5%	4.8%	0%	0%	8
83.5%	6.4%	1.3%	87.5%	4.8%	0%	0%	9
87.9%	6.6%	0.9%	87.5%	5%	0%	0%	10
91.4%	6.8%	0.6%	87.5%	5%	0%	0%	11
93.9%	6.9%	0.5%	87.5%	5.1%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.3s (15.2%)

Results

1.3s	8256×	body	256	valid
18.0ms	119×	body	256	infinite

Bogosity

preprocess96.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

748×	`unsub-neg_binary64`
711×	`fma-def_binary64`
374×	`times-frac_binary64`
340×	`div-sub_binary64`
306×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	32	38
2	82	34
3	247	34
4	977	34
5	4989	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 17 to 13 computations (23.5% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

982×	`unsub-neg_binary64`
560×	`fma-neg_binary64`
437×	`sub-neg_binary64`
425×	`distribute-rgt-in_binary64`
325×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	131	17
4	475	17
5	2048	17
6	6415	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

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

Click to see full 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 29 to 21 computations (27.6% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series7.0ms (0.1%)

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	v	@	0	(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`pow1_binary64`
908×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	183	28
2	2351	28

Stop Event

1×	node limit

Counts

2 → 44

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 +.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))))))))

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 +.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))))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
302×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	784
1	96	728
2	210	699
3	600	587
4	2828	586

Stop Event

1×	node limit

Counts

92 → 72

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

series9.0ms (0.1%)

Counts

4 → 63

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
1.0ms	m	@	inf	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms	v	@	inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0ms	v	@	-inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0ms	m	@	0	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
501×	`prod-diff_binary64`
381×	`pow-prod-down_binary64`
264×	`pow2_binary64`
188×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	201	49
2	2947	45

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

476×	`distribute-rgt-in_binary64`
396×	`distribute-lft-in_binary64`
389×	`distribute-rgt-out_binary64`
353×	`fma-def_binary64`
273×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	864
1	99	799
2	215	770
3	622	688
4	2981	687

Stop Event

1×	node limit

Counts

271 → 241

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

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

eval107.0ms (1.2%)

Compiler: Compiled 5772 to 3753 computations (35% saved)

prune53.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	301	12	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	303	12	315

Error

Counts

315 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) (-.f64 1 m))
▶	54.4b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
	29.5b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
	36.4b	-1
▶	29.6b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	9.1b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
	54.3b	(/.f64 (pow.f64 m 3) v)
▶	0.2b	(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
▶	8.7b	(+.f64 m (+.f64 (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1)) -1))
▶	36.1b	(+.f64 -1 m)
	8.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
	10.4b	(.f64 (-.f64 1 m) (/.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)))

Compiler

Compiled 301 to 211 computations (29.9% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)
✓	0.0b	(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
✓	0.3b	(/.f64 (-.f64 1 m) (/.f64 v m))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite148.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`prod-diff_binary64`
618×	`log-prod_binary64`
318×	`fma-def_binary64`
284×	`fma-neg_binary64`
261×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	228	38
2	3544	38

Stop Event

1×	node limit

Counts

3 → 427

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
299×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	1121
1	96	1023
2	210	994
3	600	819
4	2827	818

Stop Event

1×	node limit

Counts

499 → 454

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
✓	0.3b	(*.f64 m (/.f64 m v))

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
362×	`exp-prod_binary64`
360×	`pow-prod-down_binary64`
293×	`prod-diff_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	185	20
2	2691	20

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6) 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 (exp.f64 1) (log.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (/.f64 m v)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (/.f64 m v))))) (sqrt.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6))))) (#(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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (/.f64 m v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 m (sqrt.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (/.f64 m v))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1) (*.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (+.f64 -8 (pow.f64 m 3))) (*.f64 v (fma.f64 m (-.f64 m -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 4 (*.f64 m m))) (*.f64 v (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m m)) (*.f64 (fma.f64 m (-.f64 m -2) 4) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) (*.f64 m m)) (*.f64 (-.f64 -2 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 3) (pow.f64 (/.f64 (pow.f64 m 3) v) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 2) (-.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 2) (pow.f64 (/.f64 (pow.f64 m 3) v) 2)) (-.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (+.f64 m -2)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m (/.f64 m v))) (fma.f64 m (-.f64 m -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) (*.f64 m (/.f64 m v))) (-.f64 -2 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -8 (pow.f64 m 3))) (fma.f64 m (-.f64 m -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 4 (*.f64 m m))) (-.f64 -2 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 m v) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) m (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) -2 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (pow.f64 m 3) v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (*.f64 m (/.f64 m v))) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (*.f64 m (/.f64 m v))) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m -2) (/.f64 m v) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1 (*.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) 2) (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2) (cbrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (sqrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 m v)) m (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (/.f64 m v)) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 m (/.f64 m v))) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

838×	`associate-/r/_binary64`
628×	`associate-/l/_binary64`
536×	`unswap-sqr_binary64`
457×	`distribute-rgt-out_binary64`
423×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	549
1	37	549
2	77	549
3	177	465
4	569	465
5	2640	465

Stop Event

1×	node limit

Counts

150 → 110

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
✓	0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

Compiler

Compiled 31 to 19 computations (38.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
1.0ms	v	@	inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
1.0ms	m	@	0	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
0.0ms	m	@	inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
0.0ms	v	@	-inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
427×	`prod-exp_binary64`
363×	`exp-prod_binary64`
341×	`pow-prod-down_binary64`
233×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	174	26
2	2501	26

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
606×	`unsub-neg_binary64`
489×	`associate-/l*_binary64`
313×	`associate-/r*_binary64`
292×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	697
1	66	655
2	128	655
3	342	560
4	1545	547
5	6805	547

Stop Event

1×	node limit

Counts

177 → 143

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 51 to 32 computations (37.3% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))
1.0ms	v	@	0	(.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))
1.0ms	m	@	0	(.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))
1.0ms	m	@	-inf	(.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))
1.0ms	m	@	inf	(.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`prod-diff_binary64`
567×	`log-prod_binary64`
367×	`fma-def_binary64`
280×	`fma-neg_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	243	23
2	3315	23

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-neg_binary64`
727×	`distribute-rgt-neg-in_binary64`
588×	`fma-def_binary64`
558×	`distribute-lft-neg-in_binary64`
493×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	645
1	40	645
2	76	645
3	145	645
4	391	498
5	1451	498
6	4445	498
7	7662	498

Stop Event

1×	node limit

Counts

215 → 179

Calls

Call 1

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

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

eval349.0ms (4%)

Compiler: Compiled 24060 to 11966 computations (50.3% saved)

prune142.0ms (1.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	879	7	886
Fresh	4	3	7
Picked	1	0	1
Done	1	3	4
Total	885	13	898

Error

Counts

898 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) (-.f64 1 m))
✓	54.4b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
▶	38.1b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
▶	54.3b	(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
▶	38.6b	(*.f64 (-.f64 1 m) (/.f64 m v))
	54.4b	(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
	54.4b	(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
	8.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
▶	29.5b	(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
	36.4b	-1
✓	36.1b	(+.f64 -1 m)
✓	29.6b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	10.4b	(.f64 (-.f64 1 m) (/.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)))

Compiler

Compiled 286 to 195 computations (31.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 1 v) (.f64 m (-.f64 1 m))) 1)
	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) (-.f64 1 m))
✓	0.3b	(.f64 (/.f64 1 v) (.f64 m (-.f64 1 m)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`prod-diff_binary64`
567×	`log-prod_binary64`
280×	`pow2_binary64`
247×	`fma-def_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	221	38
2	3078	38

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
341×	`fma-def_binary64`
303×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	926
1	96	906
2	210	847
3	602	819
4	2817	818

Stop Event

1×	node limit

Counts

253 → 209

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	2047	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-neg_binary64`
689×	`fma-def_binary64`
459×	`cancel-sign-sub-inv_binary64`
375×	`associate-/l*_binary64`
359×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	337
1	30	295
2	58	295
3	137	232
4	440	232
5	1734	232
6	5756	232

Stop Event

1×	node limit

Counts

64 → 45

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`prod-diff_binary64`
479×	`log-prod_binary64`
340×	`fma-def_binary64`
337×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	195	11
2	2708	11

Stop Event

1×	node limit

Counts

1 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (fma.f64 m (*.f64 m -2) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m -2 1) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 m 3) -8 1) (*.f64 (/.f64 v m) (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 m m) 4)) (*.f64 (/.f64 v m) (+.f64 1 (*.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m (*.f64 m -2) m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 m (*.f64 m -2) m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 (pow.f64 m 3) -8 1)) (*.f64 v (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (fma.f64 (pow.f64 m 3) -8 1)) (*.f64 (neg.f64 v) (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 (*.f64 m m) 4))) (*.f64 v (+.f64 1 (*.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 (*.f64 (*.f64 m m) 4))) (*.f64 (neg.f64 v) (+.f64 1 (*.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 m 3) -8 1) m) (*.f64 (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 m m) 4)) m) (*.f64 (+.f64 1 (*.f64 2 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 m 3) -8 1) 1) (*.f64 (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 m m) 4)) 1) (*.f64 (+.f64 1 (*.f64 2 m)) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 m 3) -8 1) (neg.f64 m)) (*.f64 (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 m m) 4)) (neg.f64 m)) (*.f64 (+.f64 1 (*.f64 2 m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 3)) (+.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 2) (*.f64 (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 2)) (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 m (*.f64 m -2) m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 m (*.f64 m -2) m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 m (*.f64 m -2) m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (fma.f64 m -2 1)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 m 3) -8 1) (/.f64 m v)) (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 m m) 4)) (/.f64 m v)) (+.f64 1 (*.f64 2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (fma.f64 (pow.f64 m 3) -8 1)) (fma.f64 (*.f64 m -2) (fma.f64 m -2 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (-.f64 1 (*.f64 (*.f64 m m) 4))) (+.f64 1 (*.f64 2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m -2 1) (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (fma.f64 m (*.f64 m -2) m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 m v))) (exp.f64 (*.f64 (/.f64 m v) (*.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (exp.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (+.f64 1 (expm1.f64 (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 -2 (/.f64 m v)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) 1) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) 1) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) 1 (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) 1 (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m -2) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m -2) (/.f64 m v) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 1 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 1 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m -2)) 2) (*.f64 (cbrt.f64 (*.f64 m -2)) (/.f64 m v)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) 1) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) 1) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 1 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 1 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m -2)) (*.f64 (sqrt.f64 (*.f64 m -2)) (/.f64 m v)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) 1) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) 1) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) m (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) m (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) 2) (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (sqrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 m (cbrt.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 m (cbrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m -2) m) (/.f64 1 v) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m -2) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)) (cbrt.f64 (/.f64 m v)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m -2) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) -2) m (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 (*.f64 m -2)) 2)) (cbrt.f64 (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 (*.f64 m -2))) (sqrt.f64 (*.f64 m -2)) (/.f64 m v))))))

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

963×	`associate-*l/_binary64`
566×	`fma-def_binary64`
552×	`distribute-rgt-in_binary64`
530×	`distribute-lft-in_binary64`
355×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	318
1	31	318
2	57	318
3	117	318
4	341	255
5	1222	255
6	3082	255
7	4460	255
8	5039	255
9	5644	255
10	6753	255
11	7022	255

Stop Event

1×	node limit

Counts

138 → 120

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
✓	14.0b	(/.f64 (*.f64 m m) v)

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log-prod_binary64`
356×	`exp-prod_binary64`
350×	`pow-prod-down_binary64`
298×	`prod-diff_binary64`
245×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	186	20
2	2774	20

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) m))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) m)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (cbrt.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 m) m) (*.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 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 m) m) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) 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 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 m) m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 m) m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (pow.f64 m -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 6) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 v (pow.f64 m -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) m))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 m v) m)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 m v) m))))))) (#(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 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6))))) (#(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 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) m)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 m v) m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 m (sqrt.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (pow.f64 m -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) m)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) 1) (*.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 (/.f64 m v) m))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 (/.f64 m v) m)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 (*.f64 v (pow.f64 m -2)) (fma.f64 m (-.f64 m -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 m m)) (*.f64 (*.f64 v (pow.f64 m -2)) (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (+.f64 m -2))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 -8 (pow.f64 m 3))) (*.f64 (/.f64 v m) (fma.f64 m (-.f64 m -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (+.f64 -8 (pow.f64 m 3))) (*.f64 v (fma.f64 m (-.f64 m -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) (+.f64 -8 (pow.f64 m 3))) (*.f64 (neg.f64 v) (fma.f64 m (-.f64 m -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 4 (*.f64 m m))) (*.f64 (/.f64 v m) (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 4 (*.f64 m m))) (*.f64 v (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) (-.f64 4 (*.f64 m m))) (*.f64 (neg.f64 v) (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) m) (*.f64 (fma.f64 m (-.f64 m -2) 4) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) m) (*.f64 (-.f64 -2 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m m)) (*.f64 (fma.f64 m (-.f64 m -2) 4) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) (*.f64 m m)) (*.f64 (-.f64 -2 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) 1) (*.f64 (fma.f64 m (-.f64 m -2) 4) (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) 1) (*.f64 (-.f64 -2 m) (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m (neg.f64 m))) (*.f64 (fma.f64 m (-.f64 m -2) 4) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) (*.f64 m (neg.f64 m))) (*.f64 (-.f64 -2 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) 3) (pow.f64 (/.f64 (pow.f64 m 3) v) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) 2) (-.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2) (*.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) 2) (pow.f64 (/.f64 (pow.f64 m 3) v) 2)) (fma.f64 (*.f64 (/.f64 m v) m) -2 (neg.f64 (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 m -2) m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) (+.f64 m -2)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 (/.f64 m v) m)) (fma.f64 m (-.f64 m -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) (*.f64 (/.f64 m v) m)) (-.f64 -2 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 m v) m) (+.f64 -8 (pow.f64 m 3))) (fma.f64 m (-.f64 m -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 m v) m) (-.f64 4 (*.f64 m m))) (-.f64 -2 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 m -2) (*.f64 m (neg.f64 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 m -2) (*.f64 v (pow.f64 m -2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 m v) m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (*.f64 (/.f64 1 v) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (*.f64 (/.f64 1 v) m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) m) m (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (pow.f64 m 3) v) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (/.f64 m v) m) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (*.f64 (/.f64 m v) m)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (*.f64 (/.f64 m v) m)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3) (/.f64 1 v) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) 1 (*.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) 2) (cbrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2) (cbrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) (sqrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (*.f64 m m)) (/.f64 1 v) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 (/.f64 m v) m)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 m v) m) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 (/.f64 m v) m)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) m) -2))))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

838×	`associate-/r/_binary64`
628×	`associate-/l/_binary64`
536×	`unswap-sqr_binary64`
457×	`distribute-rgt-out_binary64`
423×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	549
1	37	549
2	77	549
3	177	465
4	569	465
5	2640	465

Stop Event

1×	node limit

Counts

186 → 146

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`pow1_binary64`
921×	`add-log-exp_binary64`
921×	`log1p-expm1-u_binary64`
921×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	171	23
2	2396	23

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

918×	`fma-def_binary64`
476×	`unsub-neg_binary64`
346×	`fma-neg_binary64`
343×	`cancel-sign-sub-inv_binary64`
342×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	483
1	69	475
2	137	463
3	375	431
4	1551	419
5	5865	419

Stop Event

1×	node limit

Counts

99 → 82

Calls

Call 1

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

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

eval272.0ms (3.1%)

Compiler: Compiled 11025 to 6471 computations (41.3% saved)

prune201.0ms (2.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	671	7	678
Fresh	3	2	5
Picked	0	1	1
Done	2	5	7
Total	676	15	691

Error

Counts

691 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	54.4b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
✓	38.1b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
▶	38.0b	(/.f64 m v)
✓	29.5b	(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
▶	54.4b	(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))
	38.6b	(/.f64 (*.f64 (-.f64 1 m) m) v)
	54.3b	(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
✓	36.1b	(+.f64 -1 m)
	54.3b	(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
▶	8.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
▶	38.2b	(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
✓	38.6b	(*.f64 (-.f64 1 m) (/.f64 m v))
✓	29.6b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
▶	10.4b	(.f64 (-.f64 1 m) (/.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)))
	36.4b	-1

Compiler

Compiled 269 to 180 computations (33.1% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite151.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`prod-diff_binary64`
642×	`unpow-prod-down_binary64`
391×	`log-prod_binary64`
364×	`fma-def_binary64`
222×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	10
2	2430	10

Stop Event

1×	node limit

Counts

1 → 214

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-neg_binary64`
182×	`fma-def_binary64`
54×	`cancel-sign-sub-inv_binary64`
34×	`sub-neg_binary64`
27×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	231
1	24	231
2	41	207
3	59	207
4	98	207
5	156	207
6	225	207
7	387	207
8	623	207
9	891	207
10	981	207
11	983	207

Stop Event

1×

saturated

Counts

238 → 223

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 m (+.f64 m -2))
✓	0.3b	(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
417×	`prod-exp_binary64`
361×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	183	20
2	2594	20

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m m) (/.f64 m v)) (*.f64 (*.f64 m -2) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 m (/.f64 m v))) (*.f64 -2 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (*.f64 m (/.f64 m v))) (*.f64 m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (*.f64 m m)) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 m v)) m) (*.f64 (*.f64 m (/.f64 m v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 m v)) -2) (*.f64 (*.f64 m (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (+.f64 m -2))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (*.f64 m (+.f64 m -2))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (+.f64 m -2)) (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -8 (pow.f64 m 3))) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m m -4)) (-.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) (log.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (*.f64 (log.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 m v)) 1) (log.f64 (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 m v)) (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 m v)) 1) (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 m -2)) 1) (log.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) (log.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 m (+.f64 m -2))) (*.f64 (log.f64 (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) (*.f64 (log.f64 (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 m (/.f64 m v))) (*.f64 (log.f64 (+.f64 m -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 m v)) (*.f64 -2 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 m (/.f64 m v)) (*.f64 m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 m v) (*.f64 (*.f64 m -2) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) m (*.f64 (*.f64 m (/.f64 m v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) -2 (*.f64 (*.f64 m (/.f64 m v)) m))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m m) 1) (*.f64 (*.f64 m -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (+.f64 m -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 6) (pow.f64 (*.f64 m -2) 3)) (+.f64 (pow.f64 m 4) (-.f64 (pow.f64 (*.f64 m -2) 2) (*.f64 (*.f64 m m) (*.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 4) (pow.f64 (*.f64 m -2) 2)) (fma.f64 m m (neg.f64 (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) m) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) m) (-.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 -8 (pow.f64 m 3))) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 m m -4)) (-.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (+.f64 m -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (+.f64 m -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 m (sqrt.f64 (*.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (+.f64 m -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (+.f64 m -2))))) (sqrt.f64 (log.f64 (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (+.f64 m -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 m (sqrt.f64 (*.f64 m -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 m) 1) (log.f64 (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 m) (*.f64 (log.f64 (+.f64 m -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 m) 1) (*.f64 (log.f64 (+.f64 m -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 m -2)) 1) (log.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 m -2)) (*.f64 (log.f64 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 m -2)) 1) (*.f64 (log.f64 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m m (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -2 (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 m (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) 1 (*.f64 (*.f64 m -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (pow.f64 m 3/2) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 m) m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (sqrt.f64 m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m -2)) 2) (cbrt.f64 (*.f64 m -2)) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m -2)) (sqrt.f64 (*.f64 m -2)) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 m)) (sqrt.f64 m) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 5) (cbrt.f64 m) (*.f64 m -2))))))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-/r/_binary64`
536×	`unswap-sqr_binary64`
514×	`fma-neg_binary64`
458×	`distribute-rgt-out_binary64`
431×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	465
1	42	456
2	85	456
3	180	372
4	584	372
5	2702	372
6	7615	372

Stop Event

1×	node limit

Counts

151 → 126

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
368×	`exp-prod_binary64`
288×	`pow-prod-down_binary64`
269×	`prod-diff_binary64`
247×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	190	19
2	2557	19

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (*.f64 -2 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 -2 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2 m) m) m)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 -2 m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -2 m 1)) m)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -2 m 1)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -2 m 1)) m))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -2 m 1)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 -2 m 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 m 3) 1) m) (fma.f64 (*.f64 -2 m) (fma.f64 -2 m -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 4 (*.f64 m m))) m) (-.f64 1 (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 -8 (pow.f64 m 3) 1)) (fma.f64 (*.f64 -2 m) (fma.f64 -2 m -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 4 (*.f64 m m)))) (-.f64 1 (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 -2 m 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 m (fma.f64 -2 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 -2 m 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 -2 m 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 -2 m 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 -2 m 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1))))) (sqrt.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 -2 m 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -2 m 1)) m))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 -2 m 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 -2 m 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 -2 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 -2 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 m (fma.f64 -2 m 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (fma.f64 -2 m 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (fma.f64 -2 m 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 -2 m 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (*.f64 -2 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (*.f64 -2 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 m (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 -2 m) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 m) m m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (*.f64 -2 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 (*.f64 -2 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (*.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (*.f64 -2 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (*.f64 -2 m)))))))

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1323×	`associate-*l/_binary64`
730×	`fma-def_binary64`
466×	`associate-*r/_binary64`
425×	`*-commutative_binary64`
349×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	237
1	24	237
2	43	237
3	86	237
4	236	237
5	829	210
6	2266	210
7	3660	210
8	3938	210
9	4226	210
10	4476	210
11	4861	210
12	5214	210
13	6728	210

Stop Event

1×	node limit

Counts

129 → 115

Calls

Call 1

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

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

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 m) (/.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)))
	0.3b	(/.f64 (-.f64 1 m) (/.f64 v m))
✓	0.3b	(*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m)))
✓	9.8b	(/.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))

Compiler

Compiled 118 to 64 computations (45.8% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite134.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`prod-diff_binary64`
465×	`fma-neg_binary64`
260×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`
172×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	310	41
2	5049	41

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

Inputs

(/.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))

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

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

Outputs

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l*_binary64`
551×	`fma-neg_binary64`
478×	`distribute-rgt-in_binary64`
430×	`distribute-lft-in_binary64`
273×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1511
1	294	1448
2	844	1375
3	3612	1206

Stop Event

1×	node limit

Counts

329 → 305

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

eval1.2s (13.8%)

Compiler: Compiled 73570 to 36928 computations (49.8% saved)

prune244.0ms (2.8%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	1564	3	1567
Fresh	0	4	4
Picked	1	0	1
Done	1	9	10
Total	1566	16	1582

Error

Counts

1582 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	54.4b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
✓	38.1b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
✓	38.0b	(/.f64 m v)
✓	29.5b	(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
	8.7b	(/.f64 (-.f64 (+.f64 m 1) (.f64 (/.f64 v m) (-.f64 1 (.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
✓	38.6b	(*.f64 (-.f64 1 m) (/.f64 m v))
	54.3b	(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
✓	36.1b	(+.f64 -1 m)
	54.3b	(.f64 (/.f64 m v) (.f64 m m))
	54.3b	(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
✓	8.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
	38.0b	(+.f64 m (/.f64 m v))
	36.4b	-1
✓	38.2b	(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
	38.6b	(/.f64 (*.f64 (-.f64 1 m) m) v)
✓	29.6b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))

Compiler

Compiled 162 to 108 computations (33.3% saved)

regimes107.0ms (1.2%)

Counts

31 → 1

Calls

Call 1

Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 m (/.f64 m v))
(.f64 (/.f64 m v) (.f64 m m))
(/.f64 (*.f64 (-.f64 1 m) m) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))
(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(+.f64 m (+.f64 (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1)) -1))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) (-.f64 1 m))
(/.f64 (-.f64 (+.f64 m 1) (.f64 (/.f64 v m) (-.f64 1 (.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
(.f64 (-.f64 1 m) (/.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)))
(/.f64 (pow.f64 m 3) v)
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

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

Calls

4 calls:

30.0ms	m
29.0ms	v
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

Error	Segments	Branch
0.1b	1	`m`
0.1b	1	`v`
0.1b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))`
0.1b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))`

Compiler

Compiled 330 to 192 computations (41.8% saved)

regimes90.0ms (1%)

Counts

30 → 1

Calls

Call 1

Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 m (/.f64 m v))
(.f64 (/.f64 m v) (.f64 m m))
(/.f64 (*.f64 (-.f64 1 m) m) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))
(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(+.f64 m (+.f64 (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1)) -1))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) (-.f64 1 m))
(/.f64 (-.f64 (+.f64 m 1) (.f64 (/.f64 v m) (-.f64 1 (.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
(.f64 (-.f64 1 m) (/.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)))
(/.f64 (pow.f64 m 3) v)

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

Calls

3 calls:

29.0ms	m
27.0ms	v
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

Error	Segments	Branch
0.1b	1	`m`
0.1b	1	`v`
0.1b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))`

Compiler

Compiled 303 to 174 computations (42.6% saved)

regimes63.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 m (/.f64 m v))
(.f64 (/.f64 m v) (.f64 m m))
(/.f64 (*.f64 (-.f64 1 m) m) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))
(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(+.f64 m (+.f64 (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1)) -1))

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

Calls

2 calls:

26.0ms	m
25.0ms	v

Results

Error	Segments	Branch
0.2b	1	`m`
0.2b	1	`v`

Compiler

Compiled 203 to 112 computations (44.8% saved)

regimes79.0ms (0.9%)

Counts

23 → 2

Calls

Call 1

Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 m (/.f64 m v))
(.f64 (/.f64 m v) (.f64 m m))
(/.f64 (*.f64 (-.f64 1 m) m) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))
(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(/.f64 (.f64 (-.f64 1 m) (.f64 m (-.f64 1 m))) v)
(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))

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

Calls

2 calls:

44.0ms	m
24.0ms	v

Results

Error	Segments	Branch
0.1b	2	`m`
8.6b	1	`v`

Compiler

Compiled 177 to 96 computations (45.8% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	7.801976606406805e-16	1.1657291309604722e-14

Compiler

Compiled 20 to 15 computations (25% saved)

regimes71.0ms (0.8%)

Counts

20 → 2

Calls

Call 1

Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 m (/.f64 m v))
(.f64 (/.f64 m v) (.f64 m m))
(/.f64 (*.f64 (-.f64 1 m) m) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(.f64 (/.f64 m v) (.f64 m (+.f64 m -2)))
(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(.f64 (.f64 (/.f64 1 v) (*.f64 m m)) (+.f64 -2 m))
(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))

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

Calls

2 calls:

42.0ms	m
20.0ms	v

Results

Error	Segments	Branch
1.0b	2	`m`
8.6b	1	`v`

Compiler

Compiled 144 to 75 computations (47.9% saved)

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	0.0025375023412834603	810.6126502545468

Compiler

Compiled 20 to 15 computations (25% saved)

regimes63.0ms (0.7%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	m
18.0ms	v

Results

Error	Segments	Branch
1.0b	2	`m`
8.6b	1	`v`

Compiler

Compiled 113 to 58 computations (48.7% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	0.0025375023412834603	810.6126502545468

Compiler

Compiled 20 to 15 computations (25% saved)

regimes60.0ms (0.7%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	m
17.0ms	v

Results

Error	Segments	Branch
1.0b	2	`m`
8.6b	1	`v`

Compiler

Compiled 104 to 54 computations (48.1% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	0.0025375023412834603	810.6126502545468

Compiler

Compiled 20 to 15 computations (25% saved)

regimes45.0ms (0.5%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	m
14.0ms	v

Results

Error	Segments	Branch
1.1b	2	`m`
8.6b	1	`v`

Compiler

Compiled 59 to 29 computations (50.8% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	0.0025375023412834603	810.6126502545468

Compiler

Compiled 20 to 15 computations (25% saved)

regimes42.0ms (0.5%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	m
13.0ms	v

Results

Error	Segments	Branch
1.6b	2	`m`
8.6b	1	`v`

Compiler

Compiled 50 to 25 computations (50% saved)

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	0.0025375023412834603	810.6126502545468

Compiler

Compiled 20 to 15 computations (25% saved)

regimes114.0ms (1.3%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	v
54.0ms	m

Results

Error	Segments	Branch
16.4b	5	`m`
22.7b	4	`v`

Compiler

Compiled 43 to 22 computations (48.8% saved)

bsearch150.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
38.0ms	0.0025375023412834603	810.6126502545468
36.0ms	2.5856999665715205e-142	4.676029573606292e-142
38.0ms	2.7213138345374907e-154	3.4945578423493165e-154
38.0ms	1.3415489904602779e-204	3.267668230719997e-204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes61.0ms (0.7%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	v
23.0ms	m

Results

Error	Segments	Branch
16.4b	5	`m`
22.7b	4	`v`

Compiler

Compiled 36 to 19 computations (47.2% saved)

bsearch78.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	0.0025375023412834603	810.6126502545468
19.0ms	2.5856999665715205e-142	4.676029573606292e-142
19.0ms	2.7213138345374907e-154	3.4945578423493165e-154
20.0ms	1.3415489904602779e-204	3.267668230719997e-204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes48.0ms (0.5%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	m
22.0ms	v

Results

Error	Segments	Branch
16.4b	5	`m`
22.7b	4	`v`

Compiler

Compiled 29 to 15 computations (48.3% saved)

bsearch133.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
36.0ms	0.0025375023412834603	810.6126502545468
34.0ms	2.5856999665715205e-142	4.676029573606292e-142
36.0ms	2.7213138345374907e-154	3.4945578423493165e-154
26.0ms	1.3415489904602779e-204	3.267668230719997e-204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes64.0ms (0.7%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	v
17.0ms	m

Results

Error	Segments	Branch
23.4b	4	`m`
22.7b	4	`v`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch58.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	2.233684286384136e-141	6.549077143615722e-141
20.0ms	5.1508927934001276e-169	6.398709393256376e-169
19.0ms	2.066442605194484e-185	2.34767053303987e-184

Compiler

Compiled 20 to 15 computations (25% saved)

regimes34.0ms (0.4%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	v
13.0ms	m

Results

Error	Segments	Branch
23.4b	4	`m`
23.0b	4	`v`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch85.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
20.0ms	2.233684286384136e-141	6.549077143615722e-141
31.0ms	5.1508927934001276e-169	6.398709393256376e-169
33.0ms	2.066442605194484e-185	2.34767053303987e-184

Compiler

Compiled 20 to 15 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
-1

Outputs
-1

Calls

2 calls:

4.0ms	m
4.0ms	v

Results

Error	Segments	Branch
36.4b	1	`m`
36.4b	1	`v`

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

120×	`distribute-rgt-neg-in_binary64`
100×	`distribute-lft-neg-out_binary64`
93×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-neg-out_binary64`
77×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	442
1	104	442
2	114	442
3	125	442
4	162	442
5	276	442
6	397	442
7	520	442
8	653	442
9	739	442
10	816	442
11	885	442
12	942	442
13	958	442

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(if (<=.f64 m 7912144262462553/10141204801825835211973625643008) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 731385254313981/288230376151711744) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m (.f64 m (+.f64 m -2))) v))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (/.f64 m v) (.f64 m m)))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (.f64 (-.f64 1 m) (/.f64 m v)) (.f64 (/.f64 m v) (*.f64 m m))))))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (/.f64 (.f64 (-.f64 1 m) m) v) (.f64 (/.f64 m v) (*.f64 m m))))))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (/.f64 m v) (.f64 (/.f64 m v) (.f64 m m))))))
(if (<=.f64 v 3163519122193293/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 m v) (if (<=.f64 v 4377335775201431/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (+.f64 -1 m) (if (<=.f64 v 1916723832830041/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 m v) (+.f64 -1 m))))
(if (<=.f64 v 3163519122193293/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 m v) (if (<=.f64 v 4377335775201431/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) -1 (if (<=.f64 v 1916723832830041/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 m v) -1)))
-1

Outputs
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 1 m) (+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) -1))
(.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (.f64 m (-.f64 1 m)) v)))
(.f64 (-.f64 1 m) (-.f64 -1 (/.f64 (.f64 m (+.f64 m -1)) v)))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))
(if (<=.f64 m 7912144262462553/10141204801825835211973625643008) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 7912144262462553/10141204801825835211973625643008) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 (.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 7912144262462553/10141204801825835211973625643008) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 (.f64 (+.f64 m -1) (*.f64 m (+.f64 m -1))) v))
(if (<=.f64 m 731385254313981/288230376151711744) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(if (<=.f64 m 731385254313981/288230376151711744) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 731385254313981/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m (.f64 m (+.f64 m -2))) v))
(if (<=.f64 m 731385254313981/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (.f64 m (.f64 m (+.f64 m -2))) v))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(if (<=.f64 m 731385254313981/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
(if (<=.f64 m 731385254313981/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (/.f64 m v) (.f64 m m)))
(if (<=.f64 m 731385254313981/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (/.f64 m v) (.f64 m m)))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (.f64 (-.f64 1 m) (/.f64 m v)) (.f64 (/.f64 m v) (*.f64 m m))))))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (/.f64 (.f64 (-.f64 1 m) m) v) (.f64 (/.f64 m v) (*.f64 m m))))))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 (/.f64 m v) (*.f64 m m))))))
(if (<=.f64 m 1894276537675371/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) -1 (if (<=.f64 m 2054027231538303/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 m v) (if (<=.f64 m 1775030708031997/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) -1 (if (<=.f64 m 731385254313981/288230376151711744) (/.f64 m v) (.f64 (/.f64 m v) (.f64 m m))))))
(if (<=.f64 v 3163519122193293/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 m v) (if (<=.f64 v 4377335775201431/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (+.f64 -1 m) (if (<=.f64 v 1916723832830041/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 m v) (+.f64 -1 m))))
(if (<=.f64 v 3163519122193293/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 m v) (if (<=.f64 v 4377335775201431/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (+.f64 m -1) (if (<=.f64 v 1916723832830041/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 m v) (+.f64 m -1))))
(if (<=.f64 v 3163519122193293/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 m v) (if (<=.f64 v 4377335775201431/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) -1 (if (<=.f64 v 1916723832830041/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 m v) -1)))
-1

Compiler

Compiled 338 to 213 computations (37% saved)

soundness155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

982×	`unsub-neg_binary64`
560×	`fma-neg_binary64`
437×	`sub-neg_binary64`
425×	`distribute-rgt-in_binary64`
325×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	131	17
4	475	17
5	2048	17
6	6415	17

Stop Event

1×	node limit

Compiler

Compiled 89 to 65 computations (27% saved)

end141.0ms (1.6%)

Compiler: Compiled 310 to 167 computations (46.1% saved)

Iter	Nodes	Cost
0	13	231
1	24	231
2	41	207
3	59	207
4	98	207
5	156	207
6	225	207
7	387	207
8	623	207
9	891	207
10	981	207
11	983	207

Iter	Nodes	Cost
0	78	442
1	104	442
2	114	442
3	125	442
4	162	442
5	276	442
6	397	442
7	520	442
8	653	442
9	739	442
10	816	442
11	885	442
12	942	442
13	958	442

Iter	Nodes	Cost
0	13	231
1	24	231
2	41	207
3	59	207
4	98	207
5	156	207
6	225	207
7	387	207
8	623	207
9	891	207
10	981	207
11	983	207

Iter	Nodes	Cost
0	78	442
1	104	442
2	114	442
3	125	442
4	162	442
5	276	442
6	397	442
7	520	442
8	653	442
9	739	442
10	816	442
11	885	442
12	942	442
13	958	442

Iter	Nodes	Cost
0	13	231
1	24	231
2	41	207
3	59	207
4	98	207
5	156	207
6	225	207
7	387	207
8	623	207
9	891	207
10	981	207
11	983	207

Iter	Nodes	Cost
0	78	442
1	104	442
2	114	442
3	125	442
4	162	442
5	276	442
6	397	442
7	520	442
8	653	442
9	739	442
10	816	442
11	885	442
12	942	442
13	958	442