Details

analyze66.0ms (1.2%)

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)

sample1.1s (18.9%)

Results

1.1s	8256×	body	256	valid
14.0ms	125×	body	256	infinite

Bogosity

preprocess58.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	32	38
2	82	34
3	247	34
4	977	34
5	4989	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

Outputs

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

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

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

92 → 72

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

series8.0ms (0.1%)

Counts

4 → 63

Calls

21 calls:

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

rewrite86.0ms (1.5%)

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

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

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

476×	`distribute-rgt-in_binary64`
396×	`distribute-lft-in_binary64`
390×	`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	2992	687

Stop Event

1×	node limit

Counts

271 → 241

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)))
-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)
-1
-1
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)

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

eval107.0ms (1.9%)

Compiler: Compiled 5772 to 3752 computations (35% saved)

prune62.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	297	16	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	299	16	315

Error

Counts

315 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.2b	(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))))
	26.2b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	0.1b	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
	54.2b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (neg.f64 m) v)))
▶	26.1b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
	0.1b	(+.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
	53.7b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
▶	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
▶	12.2b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
	11.5b	(+.f64 m (+.f64 (/.f64 m v) -1))
	38.8b	(.f64 (-.f64 (log.f64 (exp.f64 (.f64 (/.f64 m v) (-.f64 1 m)))) 1) (-.f64 1 m))
	53.3b	(/.f64 (pow.f64 m 3) v)
	0.2b	(.f64 (-.f64 (.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
▶	39.5b	(+.f64 m -1)
	39.9b	-1
	0.2b	(.f64 (fma.f64 (/.f64 1 v) (.f64 m (-.f64 1 m)) -1) (-.f64 1 m))

Compiler

Compiled 397 to 273 computations (31.2% saved)

localize15.0ms (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 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
✓	0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 40 to 22 computations (45% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 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	m	@	inf	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
0.0ms	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))

rewrite86.0ms (1.5%)

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

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

simplify68.0ms (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`
299×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

270 → 225

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series6.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	m	@	inf	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
0.0ms	m	@	0	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
0.0ms	v	@	-inf	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
0.0ms	m	@	-inf	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
0.0ms	v	@	inf	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))

rewrite73.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`log-prod_binary64`
392×	`prod-diff_binary64`
355×	`prod-exp_binary64`
325×	`exp-prod_binary64`
298×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	178	20
2	2509	20

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
616×	`div-sub_binary64`
510×	`associate-/r/_binary64`
447×	`cancel-sign-sub-inv_binary64`
319×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	437
1	49	420
2	105	379
3	299	279
4	1171	279
5	4734	279
6	7829	279

Stop Event

1×	node limit

Counts

161 → 147

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (1.3%)

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

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

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))

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 19 computations (64.2% saved)

series14.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite113.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`fma-def_binary64`
672×	`log-prod_binary64`
342×	`fma-neg_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	61
1	246	57
2	4037	55

Stop Event

1×	node limit

Counts

4 → 278

Calls

Call 1

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
338×	`distribute-rgt-in_binary64`
334×	`distribute-rgt-out_binary64`
315×	`distribute-lft-in_binary64`
297×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	1537
1	100	1537
2	212	1516
3	547	1212
4	2422	1108

Stop Event

1×	node limit

Counts

374 → 303

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

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

eval303.0ms (5.3%)

Compiler: Compiled 17337 to 9368 computations (46% saved)

prune146.0ms (2.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	888	13	901
Fresh	6	5	11
Picked	0	1	1
Done	2	2	4
Total	896	21	917

Error

Counts

917 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	38.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
✓	26.2b	(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))))
	38.8b	(.f64 (-.f64 (log.f64 (exp.f64 (.f64 (/.f64 m v) (-.f64 1 m)))) 1) (-.f64 1 m))
	53.7b	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
▶	0.1b	(+.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
	38.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
▶	11.5b	(+.f64 (/.f64 m v) (+.f64 m -1))
▶	53.3b	(/.f64 (pow.f64 m 3) v)
✓	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
✓	12.2b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
	26.2b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
▶	26.1b	(.f64 (.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 m))
	39.9b	-1
▶	37.5b	(/.f64 m v)
	26.1b	(.f64 (/.f64 (-.f64 m (.f64 m m)) v) (-.f64 1 m))
	26.3b	(.f64 (.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) (-.f64 1 m))
	37.5b	(+.f64 m (/.f64 m v))
	61.6b	m
	37.6b	(*.f64 (+.f64 1 (/.f64 1 v)) m)
	54.2b	(.f64 (/.f64 (.f64 m (neg.f64 m)) v) (-.f64 1 m))
	0.2b	(.f64 (fma.f64 (/.f64 1 v) (.f64 m (-.f64 1 m)) -1) (-.f64 1 m))

Compiler

Compiled 417 to 283 computations (32.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 23 computations (58.2% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`log-prod_binary64`
431×	`fma-neg_binary64`
270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`
237×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	293	33
2	4712	33

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
345×	`distribute-rgt-out_binary64`
342×	`distribute-rgt-in_binary64`
321×	`distribute-lft-in_binary64`
289×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	750
1	113	748
2	266	708
3	718	616
4	3197	573

Stop Event

1×	node limit

Counts

147 → 121

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

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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 m -1))
0.0ms	m	@	inf	(+.f64 (/.f64 m v) (+.f64 m -1))
0.0ms	m	@	-inf	(+.f64 (/.f64 m v) (+.f64 m -1))
0.0ms	v	@	0	(+.f64 (/.f64 m v) (+.f64 m -1))
0.0ms	v	@	inf	(+.f64 (/.f64 m v) (+.f64 m -1))

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`unpow-prod-down_binary64`
391×	`log-prod_binary64`
378×	`fma-def_binary64`
293×	`exp-prod_binary64`
290×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	10
2	2537	10

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

125 → 110

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)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	170	13
2	2356	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.9%)

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

53 → 38

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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.7b	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
587×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	133	7
2	1592	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

34 → 34

Calls

Call 1

Inputs

Outputs

eval155.0ms (2.7%)

Compiler: Compiled 9308 to 4810 computations (48.3% saved)

prune85.0ms (1.5%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	485	6	491
Fresh	3	10	13
Picked	0	1	1
Done	1	6	7
Total	489	23	512

Error

Counts

512 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.5b	(+.f64 m (/.f64 m v))
	37.6b	(*.f64 (+.f64 1 (/.f64 1 v)) m)
✓	0.1b	(+.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
▶	38.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	11.5b	(+.f64 (/.f64 m v) (+.f64 m -1))
✓	53.3b	(/.f64 (pow.f64 m 3) v)
	38.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
✓	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
✓	12.2b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
▶	26.2b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
✓	26.1b	(.f64 (.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 m))
	39.9b	-1
	26.2b	(+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
✓	37.5b	(/.f64 m v)
	26.1b	(.f64 (/.f64 (-.f64 m (.f64 m m)) v) (-.f64 1 m))
	26.3b	(.f64 (.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) (-.f64 1 m))
	11.6b	(/.f64 (+.f64 (+.f64 m 1) (.f64 (/.f64 v m) (fma.f64 m m -1))) (.f64 (/.f64 v m) (+.f64 m 1)))
▶	0.2b	(.f64 (fma.f64 (/.f64 1 v) (.f64 m (-.f64 1 m)) -1) (-.f64 1 m))
	61.6b	m
	53.7b	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
	53.7b	(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
▶	53.3b	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
	54.2b	(.f64 (/.f64 (.f64 m (neg.f64 m)) v) (-.f64 1 m))

Compiler

Compiled 431 to 284 computations (34.1% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 28 computations (31.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
398×	`prod-exp_binary64`
357×	`exp-prod_binary64`
317×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	203	32
2	2508	32

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	694
1	96	674
2	210	615
3	602	587
4	2832	586

Stop Event

1×	node limit

Counts

132 → 112

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
668×	`add-log-exp_binary64`
668×	`log1p-expm1-u_binary64`
668×	`expm1-log1p-u_binary64`
653×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1774	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	216
1	14	216
2	22	153
3	33	153
4	50	153
5	55	153
6	57	153

Stop Event

1×

saturated

Counts

58 → 39

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
✓	13.9b	(/.f64 (*.f64 m m) v)

Compiler

Compiled 25 to 10 computations (60% saved)

series34.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	v	@	-inf	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
0.0ms	m	@	0	(/.f64 (*.f64 m m) v)
0.0ms	m	@	inf	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
0.0ms	m	@	inf	(/.f64 (*.f64 m m) v)
0.0ms	m	@	0	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
712×	`add-log-exp_binary64`
711×	`log1p-expm1-u_binary64`
711×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	173	14
2	2044	14

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-*l/_binary64`
536×	`unswap-sqr_binary64`
520×	`associate-/r*_binary64`
503×	`sqr-pow_binary64`
479×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	21	336
2	41	336
3	87	336
4	236	336
5	1015	336
6	4592	336
7	4761	336
8	5016	336
9	5308	336
10	5692	336
11	6315	336

Stop Event

1×	node limit

Counts

127 → 80

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
420×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
242×	`pow2_binary64`
186×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	20
2	2730	20

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
461×	`distribute-rgt-out_binary64`
373×	`sub-neg_binary64`
325×	`unswap-sqr_binary64`
277×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	569
1	121	547
2	327	535
3	1120	487
4	4964	481

Stop Event

1×	node limit

Counts

174 → 163

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

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

eval164.0ms (2.9%)

Compiler: Compiled 8479 to 5159 computations (39.2% saved)

prune93.0ms (1.6%)

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	557	10	567
Fresh	5	6	11
Picked	0	1	1
Done	2	9	11
Total	564	26	590

Error

Counts

590 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.5b	(+.f64 m (/.f64 m v))
	38.1b	(/.f64 m (/.f64 v (-.f64 1 m)))
	38.2b	(*.f64 m (/.f64 (-.f64 1 m) v))
	53.3b	(/.f64 (*.f64 m m) (/.f64 v m))
	61.6b	m
	53.7b	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
	53.2b	(.f64 (/.f64 m 1) (.f64 m (*.f64 m (/.f64 1 v))))
✓	0.1b	(+.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m)))
✓	38.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
	53.3b	(/.f64 m (/.f64 v (*.f64 m m)))
	54.2b	(/.f64 (*.f64 m (neg.f64 m)) (/.f64 v (-.f64 1 m)))
✓	11.5b	(+.f64 (/.f64 m v) (+.f64 m -1))
	54.2b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 (neg.f64 v) m))
✓	53.3b	(/.f64 (pow.f64 m 3) v)
✓	0.1b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
✓	12.2b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
✓	26.2b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
	38.2b	(.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)))
	26.3b	(.f64 m (.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) v)))
	39.9b	-1
✓	37.5b	(/.f64 m v)
	11.6b	(/.f64 (+.f64 (+.f64 m 1) (.f64 (/.f64 v m) (fma.f64 m m -1))) (.f64 (/.f64 v m) (+.f64 m 1)))
✓	0.2b	(.f64 (fma.f64 (/.f64 1 v) (.f64 m (-.f64 1 m)) -1) (-.f64 1 m))
	53.7b	(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
	38.2b	(.f64 (/.f64 1 v) (.f64 m (-.f64 1 m)))
	26.1b	(.f64 (/.f64 (-.f64 m (.f64 m m)) v) (-.f64 1 m))

Compiler

Compiled 282 to 187 computations (33.7% saved)

regimes99.0ms (1.7%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	m
26.0ms	v
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
14.0ms	(.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 486 to 269 computations (44.7% saved)

regimes72.0ms (1.3%)

Counts

43 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	v
22.0ms	m
13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

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

Compiler

Compiled 410 to 221 computations (46.1% saved)

regimes51.0ms (0.9%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	v
20.0ms	m

Results

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

Compiler

Compiled 330 to 175 computations (47% saved)

regimes49.0ms (0.9%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	m
20.0ms	v

Results

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

Compiler

Compiled 317 to 167 computations (47.3% saved)

regimes95.0ms (1.7%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

51.0ms	v
35.0ms	m

Results

Error	Segments	Branch
0.3b	2	`m`
10.5b	3	`v`

Compiler

Compiled 304 to 162 computations (46.7% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	5.3793573023771413e-20	3.113085894890164e-16

Compiler

Compiled 20 to 15 computations (25% saved)

regimes85.0ms (1.5%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	v
31.0ms	m

Results

Error	Segments	Branch
0.3b	2	`m`
10.5b	3	`v`

Compiler

Compiled 256 to 135 computations (47.3% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	5.3793573023771413e-20	3.113085894890164e-16

Compiler

Compiled 20 to 15 computations (25% saved)

regimes52.0ms (0.9%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	m
16.0ms	v

Results

Error	Segments	Branch
3.2b	2	`m`
11.5b	1	`v`

Compiler

Compiled 212 to 110 computations (48.1% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.021748866425287	2.482080337378329

Compiler

Compiled 20 to 15 computations (25% saved)

regimes40.0ms (0.7%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	m
14.0ms	v

Results

Error	Segments	Branch
3.2b	2	`m`
11.5b	1	`v`

Compiler

Compiled 152 to 77 computations (49.3% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.021748866425287	2.482080337378329

Compiler

Compiled 20 to 15 computations (25% saved)

regimes37.0ms (0.6%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	m
11.0ms	v

Results

Error	Segments	Branch
3.3b	2	`m`
11.5b	1	`v`

Compiler

Compiled 134 to 70 computations (47.8% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.021748866425287	2.482080337378329

Compiler

Compiled 20 to 15 computations (25% saved)

regimes34.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	m
10.0ms	v

Results

Error	Segments	Branch
3.8b	2	`m`
11.5b	1	`v`

Compiler

Compiled 116 to 62 computations (46.6% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	2.482080337378329	16.12705235643479

Compiler

Compiled 20 to 15 computations (25% saved)

regimes46.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	v
21.0ms	m

Results

Error	Segments	Branch
17.5b	3	`m`
25.8b	2	`v`

Compiler

Compiled 77 to 39 computations (49.4% saved)

bsearch40.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.09856972644641661	1.021748866425287
19.0ms	1.0364141405295305e-158	1.3007957470168819e-157

Compiler

Compiled 20 to 15 computations (25% saved)

regimes38.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	m
17.0ms	v

Results

Error	Segments	Branch
17.5b	3	`m`
25.8b	2	`v`

Compiler

Compiled 56 to 29 computations (48.2% saved)

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.09856972644641661	1.021748866425287
20.0ms	1.0364141405295305e-158	1.3007957470168819e-157

Compiler

Compiled 20 to 15 computations (25% saved)

regimes26.0ms (0.5%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	v
9.0ms	m

Results

Error	Segments	Branch
25.2b	2	`m`
25.8b	2	`v`

Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.0364141405295305e-158	1.3007957470168819e-157

Compiler

Compiled 20 to 15 computations (25% saved)

regimes20.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

Outputs
-1
(/.f64 m v)

Calls

2 calls:

10.0ms	v
9.0ms	m

Results

Error	Segments	Branch
25.2b	2	`m`
25.8b	2	`v`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.0364141405295305e-158	1.3007957470168819e-157

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -23.0b remaining (-57.7%)

Threshold costs -23.0b (-57.7%)

Counts

2 → 1

Calls

Call 1

Inputs
m
-1

Outputs
-1

Calls

2 calls:

3.0ms	v
3.0ms	m

Results

Error	Segments	Branch
39.9b	1	`m`
39.9b	1	`v`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	347
1	95	347
2	106	347
3	110	347
4	112	347

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
(if (<=.f64 m 8937990407062149/166153499473114484112975882535043072) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 8937990407062149/166153499473114484112975882535043072) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 m (.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 4601547814099149/4503599627370496) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 4601547814099149/4503599627370496) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 4601547814099149/4503599627370496) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (.f64 m m) (/.f64 (+.f64 m -2) v)))
(if (<=.f64 m 5589148041260339/2251799813685248) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (*.f64 m m) (/.f64 v m)))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (if (<=.f64 m 7102697332705497/72057594037927936) (.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m m) (/.f64 v m))))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (if (<=.f64 m 7102697332705497/72057594037927936) (/.f64 m (/.f64 v (-.f64 1 m))) (/.f64 (*.f64 m m) (/.f64 v m))))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (+.f64 m (/.f64 m v)))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (/.f64 m v))
-1
m

Outputs
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 1 m) (+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) -1))
(.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (.f64 m (-.f64 1 m)) v)))
(.f64 (-.f64 (.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 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
(.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1))
(.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))
(if (<=.f64 m 8937990407062149/166153499473114484112975882535043072) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 8937990407062149/166153499473114484112975882535043072) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 m (.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 4601547814099149/4503599627370496) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 4601547814099149/4503599627370496) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 4601547814099149/4503599627370496) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 4601547814099149/4503599627370496) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (.f64 m m) (/.f64 (+.f64 m -2) v)))
(if (<=.f64 m 5589148041260339/2251799813685248) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (*.f64 m m) (/.f64 v m)))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (if (<=.f64 m 7102697332705497/72057594037927936) (.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m m) (/.f64 v m))))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (if (<=.f64 m 7102697332705497/72057594037927936) (.f64 (-.f64 1 m) (/.f64 m v)) (/.f64 (.f64 m m) (/.f64 v m))))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (if (<=.f64 m 7102697332705497/72057594037927936) (/.f64 m (/.f64 v (-.f64 1 m))) (/.f64 (*.f64 m m) (/.f64 v m))))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (+.f64 m (/.f64 m v)))
(if (<=.f64 m 5126734509391427/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) -1 (/.f64 m v))
-1
m

Compiler

Compiled 273 to 180 computations (34.1% saved)

soundness169.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 89 to 65 computations (27% saved)

end126.0ms (2.2%)

Compiler: Compiled 243 to 131 computations (46.1% saved)

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

Iter	Nodes	Cost
0	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	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