Details

analyze78.0ms (1.1%)

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)

sample1.0s (14.4%)

Results

1.0s	8256×	body	256	valid
13.0ms	114×	body	256	infinite

Bogosity

preprocess59.0ms (0.8%)

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)

simplify80.0ms (1.1%)

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)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.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)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (1.2%)

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.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)))))))

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
301×	`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	2833	586

Stop Event

1×	node limit

Counts

92 → 72

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

localize28.0ms (0.4%)

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)

series13.0ms (0.2%)

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)
1.0ms	v	@	inf	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
1.0ms	m	@	0	(/.f64 (*.f64 m (-.f64 1 m)) v)
1.0ms	m	@	-inf	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite131.0ms (1.8%)

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

simplify94.0ms (1.3%)

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)))
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(+.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

eval165.0ms (2.3%)

Compiler: Compiled 5768 to 3749 computations (35% saved)

prune82.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	300	13	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	302	13	315

Error

Counts

315 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.3b	(+.f64 -1 m)
▶	56.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
	8.6b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
	55.4b	(/.f64 (pow.f64 m 3) v)
	7.7b	(+.f64 (+.f64 -1 m) (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1)))
	38.6b	-1
	0.1b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) (-.f64 1 m))
▶	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
	8.2b	(-.f64 (/.f64 m v) (-.f64 1 m))
▶	27.5b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	27.4b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
▶	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
	27.4b	(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))

Compiler

Compiled 295 to 211 computations (28.5% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 22 computations (45% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite133.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
490×	`prod-diff_binary64`
388×	`pow-prod-down_binary64`
261×	`pow2_binary64`
248×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	201	38
2	2887	38

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

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

Outputs

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

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
301×	`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	2831	818

Stop Event

1×	node limit

Counts

270 → 225

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

localize5.0ms (0.1%)

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	m	@	0	(*.f64 m (/.f64 m v))
1.0ms	v	@	0	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
1.0ms	v	@	0	(*.f64 m (/.f64 m v))
1.0ms	m	@	-inf	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
1.0ms	v	@	inf	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))

rewrite101.0ms (1.4%)

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)))))))

simplify73.0ms (1%)

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)))

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series14.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	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)))
1.0ms	v	@	-inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
1.0ms	v	@	inf	(/.f64 (-.f64 1 m) v)

rewrite142.0ms (2%)

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	33
1	174	33
2	2501	33

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

Outputs

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

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

794×	`fma-def_binary64`
612×	`unsub-neg_binary64`
502×	`associate-/l*_binary64`
318×	`associate-/r*_binary64`
290×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	812
1	75	761
2	143	761
3	368	639
4	1638	626
5	6943	626

Stop Event

1×	node limit

Counts

278 → 237

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite115.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
530×	`log-prod_binary64`
391×	`pow-prod-down_binary64`
268×	`pow2_binary64`
219×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	204	28
2	2972	28

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
301×	`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	2833	586

Stop Event

1×	node limit

Counts

161 → 141

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

eval526.0ms (7.3%)

Compiler: Compiled 17387 to 10600 computations (39% saved)

prune129.0ms (1.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	845	9	854
Fresh	8	0	8
Picked	0	1	1
Done	2	2	4
Total	855	12	867

Error

Counts

867 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.2b	(-.f64 (/.f64 m v) (-.f64 1 m))
	27.4b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
✓	38.3b	(+.f64 -1 m)
▶	35.8b	(*.f64 (-.f64 1 m) (/.f64 m v))
✓	56.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
▶	27.4b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
▶	35.0b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
	38.6b	-1
	56.0b	(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
✓	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
	8.6b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
▶	27.7b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (.f64 m (-.f64 1 m))) (.f64 (+.f64 m 1) v))

Compiler

Compiled 226 to 157 computations (30.5% saved)

localize7.0ms (0.1%)

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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (1.2%)

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

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simplify38.0ms (0.5%)

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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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	@	0	(*.f64 (-.f64 1 m) (/.f64 m v))
0.0ms	v	@	-inf	(*.f64 (-.f64 1 m) (/.f64 m v))

rewrite49.0ms (0.7%)

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))))))))

simplify56.0ms (0.8%)

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)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (0.9%)

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

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(#(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))))))

simplify106.0ms (1.5%)

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))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
433×	`prod-exp_binary64`
363×	`exp-prod_binary64`
345×	`pow-prod-down_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	172	13
2	2494	13

Stop Event

1×	node limit

Counts

1 → 120

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-def_binary64`
442×	`unsub-neg_binary64`
345×	`fma-neg_binary64`
334×	`associate-/l*_binary64`
317×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	360
1	53	360
2	102	360
3	292	328
4	1295	316
5	5250	316

Stop Event

1×	node limit

Counts

144 → 129

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)

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

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 32 computations (43.9% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log-prod_binary64`
609×	`prod-diff_binary64`
396×	`fma-def_binary64`
242×	`log-div_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	275	39
2	4277	37

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

832×	`times-frac_binary64`
643×	`fma-def_binary64`
500×	`associate-/l*_binary64`
483×	`associate-l_binary64`
422×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	813
1	134	732
2	368	684
3	1413	639

Stop Event

1×	node limit

Counts

233 → 201

Calls

Call 1

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

eval478.0ms (6.7%)

Compiler: Compiled 16588 to 9429 computations (43.2% saved)

prune249.0ms (3.5%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	845	8	853
Fresh	1	3	4
Picked	0	1	1
Done	2	5	7
Total	848	17	865

Error

Counts

865 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.3b	(+.f64 -1 m)
✓	35.8b	(*.f64 (-.f64 1 m) (/.f64 m v))
✓	56.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
	27.4b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
▶	8.2b	(-.f64 (+.f64 (/.f64 m v) m) 1)
✓	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
	35.3b	(+.f64 m (/.f64 m v))
▶	35.8b	(/.f64 (*.f64 m (-.f64 1 m)) v)
	8.6b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
▶	35.4b	(*.f64 (+.f64 1 (/.f64 1 v)) m)
	35.4b	(/.f64 m (*.f64 (+.f64 m 1) v))
	35.0b	(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
	38.6b	-1
▶	56.0b	(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
✓	27.4b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
✓	27.7b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (.f64 m (-.f64 1 m))) (.f64 (+.f64 m 1) v))
▶	35.3b	(/.f64 m v)

Compiler

Compiled 263 to 181 computations (31.2% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series7.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

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

rewrite100.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2421	17

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
190×	`fma-neg_binary64`
56×	`cancel-sign-sub-inv_binary64`
32×	`sub-neg_binary64`
27×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	258
1	19	258
2	30	207
3	49	207
4	80	207
5	115	207
6	157	207
7	225	207
8	390	207
9	636	207
10	900	207
11	991	207
12	993	207

Stop Event

1×

saturated

Counts

112 → 91

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series6.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite92.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`pow1_binary64`
671×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	10
2	1881	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	69
1	6	69

Stop Event

1×

saturated

Counts

33 → 25

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite118.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
429×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
253×	`pow2_binary64`
181×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	189	20
2	2909	20

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

((#(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)) (-.f64 (*.f64 m m) (*.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 (sqrt.f64 (*.f64 m (+.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 (sqrt.f64 (*.f64 m (+.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 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))))))

simplify86.0ms (1.2%)

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

154 → 129

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))

eval102.0ms (1.4%)

Compiler: Compiled 4426 to 2401 computations (45.8% saved)

prune60.0ms (0.8%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	335	7	342
Fresh	3	3	6
Picked	0	1	1
Done	3	7	10
Total	341	18	359

Error

Counts

359 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(-.f64 (/.f64 m v) 1)
	35.8b	(/.f64 (-.f64 m (*.f64 m m)) v)
✓	38.3b	(+.f64 -1 m)
✓	56.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
	27.4b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
	35.9b	(*.f64 m (/.f64 (-.f64 1 m) v))
✓	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
	35.3b	(+.f64 (/.f64 m v) m)
	38.6b	-1
	55.4b	(/.f64 (*.f64 m m) (/.f64 v m))
	61.7b	m
✓	56.0b	(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
✓	35.8b	(/.f64 (*.f64 m (-.f64 1 m)) v)
	8.6b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
✓	27.4b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
	35.0b	(/.f64 (.f64 (+.f64 1 (.f64 -2 m)) m) v)
✓	27.7b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (.f64 m (-.f64 1 m))) (.f64 (+.f64 m 1) v))
✓	35.3b	(/.f64 m v)

Compiler

Compiled 170 to 115 computations (32.4% saved)

regimes128.0ms (1.8%)

Counts

39 → 1

Calls

Call 1

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

34.0ms	m
34.0ms	v
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

Error	Segments	Branch
0.0b	1	`m`
0.0b	1	`v`
0.0b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))`
0.0b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))`

Compiler

Compiled 356 to 206 computations (42.1% saved)

regimes124.0ms (1.7%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	m
33.0ms	v
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
18.0ms	(.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 344 to 199 computations (42.2% saved)

regimes72.0ms (1%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	m
28.0ms	v

Results

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

Compiler

Compiled 238 to 130 computations (45.4% saved)

regimes98.0ms (1.4%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	m
31.0ms	v

Results

Error	Segments	Branch
0.3b	2	`m`
7.7b	1	`v`

Compiler

Compiled 225 to 121 computations (46.2% saved)

bsearch35.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	3.241841803559429e-10	1.5523835420929676e-9

Compiler

Compiled 20 to 15 computations (25% saved)

regimes95.0ms (1.3%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	m
27.0ms	v

Results

Error	Segments	Branch
0.5b	2	`m`
8.2b	1	`v`

Compiler

Compiled 212 to 113 computations (46.7% saved)

bsearch35.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	4.414584399640488e-12	5.814283683468916e-12

Compiler

Compiled 20 to 15 computations (25% saved)

regimes88.0ms (1.2%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	m
25.0ms	v

Results

Error	Segments	Branch
0.5b	2	`m`
8.2b	1	`v`

Compiler

Compiled 179 to 92 computations (48.6% saved)

bsearch35.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	4.414584399640488e-12	5.814283683468916e-12

Compiler

Compiled 20 to 15 computations (25% saved)

regimes82.0ms (1.1%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	m
24.0ms	v

Results

Error	Segments	Branch
2.0b	2	`m`
8.2b	1	`v`

Compiler

Compiled 157 to 78 computations (50.3% saved)

bsearch36.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	1.956951031242246	15966.042888551321

Compiler

Compiled 20 to 15 computations (25% saved)

regimes75.0ms (1%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	m
24.0ms	v

Results

Error	Segments	Branch
2.0b	2	`m`
8.2b	1	`v`

Compiler

Compiled 139 to 69 computations (50.4% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.956951031242246	15966.042888551321

Compiler

Compiled 20 to 15 computations (25% saved)

regimes39.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	m
12.0ms	v

Results

Error	Segments	Branch
2.4b	2	`m`
8.2b	1	`v`

Compiler

Compiled 121 to 60 computations (50.4% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.956951031242246	15966.042888551321

Compiler

Compiled 20 to 15 computations (25% saved)

regimes17.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	v
7.0ms	m

Results

Error	Segments	Branch
8.2b	1	`m`
8.2b	1	`v`

Compiler

Compiled 47 to 23 computations (51.1% saved)

regimes21.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	m
9.0ms	v

Results

Error	Segments	Branch
22.3b	2	`m`
20.0b	2	`v`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.5043712775898053e-130	1.7811392536581906e-129

Compiler

Compiled 20 to 15 computations (25% saved)

regimes19.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 m v)
-1

Calls

2 calls:

10.0ms	m
8.0ms	v

Results

Error	Segments	Branch
22.3b	2	`m`
20.2b	2	`v`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.5043712775898053e-130	1.7811392536581906e-129

Compiler

Compiled 20 to 15 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -24.3b remaining (-63%)

Threshold costs -24.3b (-63%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
m
-1
-1

Outputs
-1

Calls

2 calls:

5.0ms	m
4.0ms	v

Results

Error	Segments	Branch
38.6b	1	`m`
38.6b	1	`v`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`+-commutative_binary64`
5×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	274
1	81	274
2	87	274
3	89	274
4	90	274

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 v) (-.f64 1 m)) 1) (-.f64 1 m))
(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
(if (<=.f64 m 6270634015086481/19342813113834066795298816) (+.f64 (+.f64 -1 m) (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 5464990785119573/1237940039285380274899124224) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 5464990785119573/1237940039285380274899124224) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 8813323935084887/4503599627370496) (-.f64 (/.f64 m v) 1) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(if (<=.f64 m 8813323935084887/4503599627370496) (-.f64 (/.f64 m v) 1) (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(if (<=.f64 m 8813323935084887/4503599627370496) (-.f64 (/.f64 m v) 1) (/.f64 (*.f64 m m) (/.f64 v m)))
(-.f64 (/.f64 m v) 1)
(if (<=.f64 v 7514030167924787/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 m v) (+.f64 -1 m))
(if (<=.f64 v 7514030167924787/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 m v) -1)
-1

Outputs
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(.f64 (-.f64 1 m) (+.f64 (.f64 (-.f64 1 m) (/.f64 m v)) -1))
(.f64 (-.f64 1 m) (+.f64 -1 (.f64 (-.f64 1 m) (/.f64 m v))))
(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
(.f64 (-.f64 1 m) (+.f64 (.f64 m (/.f64 (-.f64 1 m) v)) -1))
(.f64 (-.f64 1 m) (+.f64 -1 (.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 6270634015086481/19342813113834066795298816) (+.f64 (+.f64 -1 m) (.f64 (/.f64 m v) (+.f64 (.f64 m -2) 1))) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 6270634015086481/19342813113834066795298816) (+.f64 (+.f64 m -1) (.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))) (.f64 (-.f64 1 m) (/.f64 (.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 5464990785119573/1237940039285380274899124224) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 5464990785119573/1237940039285380274899124224) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 5464990785119573/1237940039285380274899124224) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 5464990785119573/1237940039285380274899124224) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 (.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 8813323935084887/4503599627370496) (-.f64 (/.f64 m v) 1) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
(if (<=.f64 m 8813323935084887/4503599627370496) (+.f64 (/.f64 m v) -1) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 8813323935084887/4503599627370496) (-.f64 (/.f64 m v) 1) (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(if (<=.f64 m 8813323935084887/4503599627370496) (+.f64 (/.f64 m v) -1) (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(if (<=.f64 m 8813323935084887/4503599627370496) (-.f64 (/.f64 m v) 1) (/.f64 (*.f64 m m) (/.f64 v m)))
(if (<=.f64 m 8813323935084887/4503599627370496) (+.f64 (/.f64 m v) -1) (/.f64 (*.f64 m m) (/.f64 v m)))
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(if (<=.f64 v 7514030167924787/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 m v) (+.f64 -1 m))
(if (<=.f64 v 7514030167924787/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 m v) (+.f64 m -1))
(if (<=.f64 v 7514030167924787/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 m v) -1)
-1

Compiler

Compiled 216 to 148 computations (31.5% saved)

soundness157.0ms (2.2%)

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)

end100.0ms (1.4%)

Compiler: Compiled 192 to 113 computations (41.1% 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	11	258
1	19	258
2	30	207
3	49	207
4	80	207
5	115	207
6	157	207
7	225	207
8	390	207
9	636	207
10	900	207
11	991	207
12	993	207

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	11	258
1	19	258
2	30	207
3	49	207
4	80	207
5	115	207
6	157	207
7	225	207
8	390	207
9	636	207
10	900	207
11	991	207
12	993	207

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	11	258
1	19	258
2	30	207
3	49	207
4	80	207
5	115	207
6	157	207
7	225	207
8	390	207
9	636	207
10	900	207
11	991	207
12	993	207