Details

analyze41.0ms (0.6%)

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 (16.5%)

Results

1.1s	8256×	body	256	valid
16.0ms	118×	body	256	infinite

Bogosity

preprocess57.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

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)

prune2.0ms (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 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.1b	(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

Outputs

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-in_binary64`
386×	`distribute-rgt-out_binary64`
343×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
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))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

series9.0ms (0.1%)

Counts

4 → 63

Calls

21 calls:

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

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

271 → 241

Calls

Call 1

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

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

eval109.0ms (1.6%)

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

prune52.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

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

Error

0.0b

Counts

315 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(*.f64 (fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))
▶	33.4b	(+.f64 -1 m)
	10.3b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
	9.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
	31.0b	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (-.f64 1 m))
	33.8b	-1
▶	31.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	31.0b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
▶	0.2b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
▶	0.1b	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
	54.7b	(/.f64 (pow.f64 m 3) v)
	31.0b	(+.f64 m (+.f64 (/.f64 m v) (.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))))
▶	54.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))

Compiler

Compiled 293 to 203 computations (30.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 15 computations (66.7% saved)

series10.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
1.0ms	v	@	-inf	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
1.0ms	v	@	0	(/.f64 (-.f64 m (*.f64 m m)) v)
1.0ms	v	@	inf	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
0.0ms	m	@	inf	(/.f64 (-.f64 m (*.f64 m m)) v)

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
438×	`fma-def_binary64`
355×	`fma-neg_binary64`
305×	`pow2_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	234	49
2	3579	49

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1) (.f64 (neg.f64 m) (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1) (.f64 (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 m (.f64 m 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 m 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 (/.f64 (-.f64 m (.f64 m m)) v) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 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simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-neg_binary64`
538×	`cancel-sign-sub-inv_binary64`
450×	`associate-/l*_binary64`
332×	`fma-def_binary64`
302×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	1227
1	100	1012
2	224	974
3	597	946
4	2627	887

Stop Event

1×	node limit

Counts

372 → 321

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

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

localize7.0ms (0.1%)

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

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

150 → 110

Calls

Call 1

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

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

localize27.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series15.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	v	@	-inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
2.0ms	m	@	0	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
2.0ms	v	@	0	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
1.0ms	v	@	inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
1.0ms	m	@	-inf	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))

rewrite115.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

177 → 143

Calls

Call 1

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

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

localize47.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1)
✓	0.0b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
✓	0.1b	(/.f64 1 (/.f64 v (-.f64 1 m)))
✓	0.3b	(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))

Compiler

Compiled 55 to 38 computations (30.9% saved)

series14.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite109.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff_binary64`
596×	`log-prod_binary64`
289×	`pow2_binary64`
211×	`fma-def_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	229	45
2	3324	45

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

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

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

441×	`distribute-rgt-in_binary64`
384×	`distribute-rgt-out_binary64`
361×	`distribute-lft-in_binary64`
347×	`fma-def_binary64`
301×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	1284
1	106	1186
2	225	1157
3	621	982
4	2959	981

Stop Event

1×	node limit

Counts

313 → 250

Calls

Call 1

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

eval315.0ms (4.6%)

Compiler: Compiled 15800 to 8888 computations (43.7% saved)

prune169.0ms (2.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	813	11	824
Fresh	6	2	8
Picked	1	0	1
Done	1	3	4
Total	821	16	837

Error

Counts

837 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.4b	(+.f64 -1 m)
▶	31.0b	(*.f64 (-.f64 1 m) (/.f64 m (/.f64 v (-.f64 1 m))))
▶	54.0b	(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
	33.8b	-1
✓	31.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
▶	41.3b	(*.f64 (-.f64 1 m) (/.f64 m v))
	54.0b	(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
	31.0b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
	54.0b	(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
	54.0b	(+.f64 0 (.f64 (/.f64 m v) (.f64 m (+.f64 m -2))))
▶	40.9b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
	9.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
	54.0b	(fma.f64 (.f64 (.f64 m (/.f64 m v)) (sqrt.f64 m)) (sqrt.f64 m) (.f64 (/.f64 m v) (.f64 m -2)))
✓	54.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
	11.3b	(/.f64 (.f64 (-.f64 1 m) (+.f64 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 2) -1)) (+.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1))
▶	0.2b	(*.f64 (fma.f64 (/.f64 (-.f64 1 m) v) m -1) (-.f64 1 m))

Compiler

Compiled 356 to 229 computations (35.7% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 22 computations (35.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`unpow-prod-down_binary64`
451×	`log-prod_binary64`
283×	`pow-prod-down_binary64`
246×	`pow2_binary64`
201×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	186	28
2	2457	28

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

126 → 106

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

64 → 45

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 m v)) (fma.f64 m -2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> 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simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

138 → 120

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
✓	14.7b	(/.f64 (*.f64 m m) v)

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

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(cbrt.f64 (*.f64 (/.f64 m v) m)) m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (*.f64 (/.f64 m v) m)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (*.f64 (/.f64 m v) m)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3) (/.f64 1 v) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 m v) m) -2) 1 (*.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) 2) (cbrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2) (cbrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) (sqrt.f64 (*.f64 (*.f64 (/.f64 m v) m) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (*.f64 m m)) (/.f64 1 v) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 (/.f64 m v) m)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 m v) m) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 (/.f64 m v) m)) (*.f64 (*.f64 (/.f64 m v) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) m) -2))))))

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 146

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
390×	`exp-prod_binary64`
322×	`pow-prod-down_binary64`
239×	`pow2_binary64`
200×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	177	30
2	2655	30

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

631×	`fma-def_binary64`
392×	`sub-neg_binary64`
331×	`unswap-sqr_binary64`
285×	`fma-neg_binary64`
258×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	906
1	133	842
2	353	830
3	1173	719
4	5466	719

Stop Event

1×	node limit

Counts

288 → 257

Calls

Call 1

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

eval238.0ms (3.4%)

Compiler: Compiled 10912 to 6381 computations (41.5% saved)

prune106.0ms (1.5%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	668	6	674
Fresh	3	5	8
Picked	0	1	1
Done	2	5	7
Total	673	17	690

Error

Counts

690 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	41.3b	(/.f64 (-.f64 1 m) (/.f64 v m))
▶	54.0b	(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
✓	40.9b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
▶	54.0b	(/.f64 1 (/.f64 v (.f64 m (.f64 m (+.f64 m -2)))))
	31.0b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
▶	9.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
	54.0b	(/.f64 (*.f64 m m) (/.f64 v (+.f64 m -2)))
✓	54.0b	(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
	33.8b	-1
✓	31.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
▶	54.0b	(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
	54.0b	(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
	11.3b	(/.f64 (.f64 (-.f64 1 m) (+.f64 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 2) -1)) (+.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1))
▶	40.5b	(/.f64 m v)
✓	31.0b	(*.f64 (-.f64 1 m) (/.f64 m (/.f64 v (-.f64 1 m))))
✓	54.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
✓	0.2b	(*.f64 (fma.f64 (/.f64 (-.f64 1 m) v) m -1) (-.f64 1 m))

Compiler

Compiled 316 to 205 computations (35.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 214

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

238 → 223

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
311×	`prod-diff_binary64`
254×	`pow2_binary64`
199×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	190	20
2	2924	20

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

183 → 142

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 m (+.f64 m -2))
✓	0.1b	(.f64 m (.f64 m (+.f64 m -2)))
✓	14.7b	(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	m	@	-inf	(.f64 m (.f64 m (+.f64 m -2)))
0.0ms	m	@	inf	(.f64 m (.f64 m (+.f64 m -2)))
0.0ms	m	@	0	(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
0.0ms	m	@	0	(*.f64 m (+.f64 m -2))
0.0ms	m	@	inf	(*.f64 m (+.f64 m -2))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
384×	`exp-prod_binary64`
321×	`pow-prod-down_binary64`
239×	`pow2_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	182	30
2	2627	30

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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(cbrt.f64 m) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 m (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 (*.f64 m m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 5/2) (sqrt.f64 m) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 5/2) (sqrt.f64 m) (*.f64 -2 (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 5/2) (sqrt.f64 m) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 5/2) (sqrt.f64 m) (*.f64 (*.f64 m m) -2))))))

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
460×	`distribute-rgt-out_binary64`
435×	`fma-def_binary64`
363×	`cancel-sign-sub-inv_binary64`
362×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	579
1	46	561
2	93	561
3	187	477
4	602	477
5	2745	477
6	6683	477

Stop Event

1×	node limit

Counts

226 → 194

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 m (+.f64 m -2))
	0.1b	(.f64 m (.f64 m (+.f64 m -2)))
✓	1.0b	(/.f64 1 (/.f64 v (.f64 m (.f64 m (+.f64 m -2)))))
✓	13.9b	(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))

Compiler

Compiled 41 to 25 computations (39% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
366×	`pow-prod-down_binary64`
277×	`pow2_binary64`
234×	`pow-unpow_binary64`
217×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	223	26
2	3108	26

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-/r/_binary64`
492×	`unswap-sqr_binary64`
417×	`fma-def_binary64`
359×	`*-commutative_binary64`
350×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	713
1	124	709
2	297	693
3	818	682
4	3561	680
5	6066	680
6	7383	680

Stop Event

1×	node limit

Counts

168 → 143

Calls

Call 1

Inputs
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(*.f64 -1/2 (/.f64 v (pow.f64 m 2)))
(+.f64 (.f64 -1/4 (/.f64 v m)) (.f64 -1/2 (/.f64 v (pow.f64 m 2))))
(+.f64 (.f64 -1/8 v) (+.f64 (.f64 -1/4 (/.f64 v m)) (*.f64 -1/2 (/.f64 v (pow.f64 m 2)))))
(+.f64 (.f64 -1/16 (.f64 v m)) (+.f64 (.f64 -1/8 v) (+.f64 (.f64 -1/4 (/.f64 v m)) (*.f64 -1/2 (/.f64 v (pow.f64 m 2))))))
(/.f64 v (pow.f64 m 3))
(+.f64 (*.f64 2 (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (.f64 4 (/.f64 v (pow.f64 m 5)))))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (.f64 4 (/.f64 v (pow.f64 m 5))) (*.f64 8 (/.f64 v (pow.f64 m 6))))))
(/.f64 v (pow.f64 m 3))
(+.f64 (*.f64 2 (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (.f64 4 (/.f64 v (pow.f64 m 5)))))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (.f64 4 (/.f64 v (pow.f64 m 5))) (*.f64 8 (/.f64 v (pow.f64 m 6))))))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(*.f64 -2 (/.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))

Outputs
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(/.f64 v (*.f64 (-.f64 m 2) (pow.f64 m 2)))
(/.f64 v (.f64 (+.f64 m -2) (.f64 m m)))
(/.f64 (/.f64 v (+.f64 m -2)) (*.f64 m m))
(/.f64 v (.f64 m (.f64 m (+.f64 m -2))))
(/.f64 (/.f64 (/.f64 v m) m) (+.f64 m -2))
(*.f64 -1/2 (/.f64 v (pow.f64 m 2)))
(.f64 -1/2 (/.f64 v (.f64 m m)))
(*.f64 -1/2 (/.f64 (/.f64 v m) m))
(*.f64 v (/.f64 (/.f64 -1/2 m) m))
(+.f64 (.f64 -1/4 (/.f64 v m)) (.f64 -1/2 (/.f64 v (pow.f64 m 2))))
(fma.f64 -1/4 (/.f64 v m) (.f64 -1/2 (/.f64 v (.f64 m m))))
(fma.f64 -1/2 (/.f64 v (.f64 m m)) (.f64 -1/4 (/.f64 v m)))
(*.f64 (/.f64 v m) (+.f64 (/.f64 -1/2 m) -1/4))
(*.f64 (/.f64 v m) (+.f64 -1/4 (/.f64 -1/2 m)))
(+.f64 (.f64 -1/8 v) (+.f64 (.f64 -1/4 (/.f64 v m)) (*.f64 -1/2 (/.f64 v (pow.f64 m 2)))))
(fma.f64 -1/8 v (fma.f64 -1/4 (/.f64 v m) (.f64 -1/2 (/.f64 v (.f64 m m)))))
(fma.f64 v -1/8 (fma.f64 -1/2 (/.f64 v (.f64 m m)) (.f64 -1/4 (/.f64 v m))))
(fma.f64 v -1/8 (*.f64 (/.f64 v m) (+.f64 (/.f64 -1/2 m) -1/4)))
(fma.f64 (/.f64 v m) (+.f64 -1/4 (/.f64 -1/2 m)) (*.f64 v -1/8))
(+.f64 (.f64 -1/16 (.f64 v m)) (+.f64 (.f64 -1/8 v) (+.f64 (.f64 -1/4 (/.f64 v m)) (*.f64 -1/2 (/.f64 v (pow.f64 m 2))))))
(fma.f64 -1/16 (.f64 v m) (fma.f64 -1/8 v (fma.f64 -1/4 (/.f64 v m) (.f64 -1/2 (/.f64 v (*.f64 m m))))))
(fma.f64 -1/16 (.f64 v m) (fma.f64 v -1/8 (fma.f64 -1/2 (/.f64 v (.f64 m m)) (*.f64 -1/4 (/.f64 v m)))))
(fma.f64 v -1/8 (fma.f64 v (.f64 m -1/16) (.f64 (/.f64 v m) (+.f64 (/.f64 -1/2 m) -1/4))))
(fma.f64 v (fma.f64 m -1/16 -1/8) (*.f64 (/.f64 v m) (+.f64 -1/4 (/.f64 -1/2 m))))
(/.f64 v (pow.f64 m 3))
(+.f64 (*.f64 2 (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 3)))
(*.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 1 (/.f64 2 m)))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (.f64 4 (/.f64 v (pow.f64 m 5)))))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (*.f64 4 (/.f64 v (pow.f64 m 5)))))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (fma.f64 4 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 3))))
(fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (pow.f64 m 3))))
(fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 1 (/.f64 2 m))))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (.f64 4 (/.f64 v (pow.f64 m 5))) (*.f64 8 (/.f64 v (pow.f64 m 6))))))
(+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 3))) (fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 8 (/.f64 v (pow.f64 m 6)))))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (fma.f64 8 (/.f64 v (pow.f64 m 6)) (fma.f64 4 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 3)))))
(fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 2 m) (+.f64 1 (/.f64 8 (pow.f64 m 3))))))
(+.f64 (.f64 (/.f64 v (pow.f64 m 3)) (+.f64 1 (/.f64 2 m))) (.f64 (/.f64 v (pow.f64 m 5)) (+.f64 4 (/.f64 8 m))))
(/.f64 v (pow.f64 m 3))
(+.f64 (*.f64 2 (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 3)))
(*.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 1 (/.f64 2 m)))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (.f64 4 (/.f64 v (pow.f64 m 5)))))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (*.f64 4 (/.f64 v (pow.f64 m 5)))))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (fma.f64 4 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 3))))
(fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 (+.f64 (/.f64 2 m) 1) (/.f64 v (pow.f64 m 3))))
(fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 1 (/.f64 2 m))))
(+.f64 (.f64 2 (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (.f64 4 (/.f64 v (pow.f64 m 5))) (*.f64 8 (/.f64 v (pow.f64 m 6))))))
(+.f64 (fma.f64 2 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 3))) (fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 8 (/.f64 v (pow.f64 m 6)))))
(fma.f64 2 (/.f64 v (pow.f64 m 4)) (fma.f64 8 (/.f64 v (pow.f64 m 6)) (fma.f64 4 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 3)))))
(fma.f64 4 (/.f64 v (pow.f64 m 5)) (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 2 m) (+.f64 1 (/.f64 8 (pow.f64 m 3))))))
(+.f64 (.f64 (/.f64 v (pow.f64 m 3)) (+.f64 1 (/.f64 2 m))) (.f64 (/.f64 v (pow.f64 m 5)) (+.f64 4 (/.f64 8 m))))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(.f64 -2 (/.f64 (.f64 m m) v))
(/.f64 -2 (/.f64 v (*.f64 m m)))
(.f64 (/.f64 -2 v) (.f64 m m))
(.f64 (/.f64 m v) (.f64 m -2))
(.f64 m (/.f64 (.f64 m -2) v))
(/.f64 -2 (/.f64 (/.f64 v m) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (.f64 (+.f64 m -2) (.f64 m m)) v)
(.f64 (/.f64 (+.f64 m -2) v) (.f64 m m))
(.f64 (.f64 m m) (/.f64 (+.f64 m -2) v))
(.f64 m (.f64 (/.f64 m v) (+.f64 m -2)))
(/.f64 (+.f64 m -2) (/.f64 (/.f64 v m) m))
(.f64 (+.f64 m -2) (.f64 m (/.f64 m v)))

eval427.0ms (6.2%)

Compiler: Compiled 14110 to 8152 computations (42.2% saved)

prune127.0ms (1.8%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	819	6	825
Fresh	2	4	6
Picked	1	0	1
Done	1	9	10
Total	823	19	842

Error

Counts

842 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	41.3b	(/.f64 (-.f64 1 m) (/.f64 v m))
✓	54.0b	(/.f64 (.f64 m (.f64 m (+.f64 m -2))) v)
	54.7b	(/.f64 1 (/.f64 v (.f64 m (.f64 m m))))
✓	40.9b	(.f64 (/.f64 m v) (+.f64 1 (.f64 m -2)))
	40.5b	(+.f64 m (/.f64 m v))
✓	9.6b	(-.f64 (/.f64 m v) (-.f64 1 m))
	54.0b	(/.f64 (*.f64 m m) (/.f64 v (+.f64 m -2)))
✓	54.0b	(.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m))
	33.8b	-1
✓	31.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v)))
	54.7b	(/.f64 (.f64 m (.f64 m m)) v)
	9.6b	(/.f64 (-.f64 (.f64 (neg.f64 m) (+.f64 m 1)) (.f64 (neg.f64 v) (-.f64 1 (.f64 m m)))) (.f64 (neg.f64 v) (+.f64 m 1)))
✓	54.0b	(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
	9.6b	(/.f64 (-.f64 (+.f64 m 1) (.f64 (/.f64 v m) (-.f64 1 (.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
	54.0b	(/.f64 (+.f64 m -2) (/.f64 v (*.f64 m m)))
	31.0b	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
✓	31.0b	(*.f64 (-.f64 1 m) (/.f64 m (/.f64 v (-.f64 1 m))))
✓	54.0b	(.f64 (.f64 m (/.f64 m v)) (+.f64 -2 m))
✓	40.5b	(/.f64 m v)

Compiler

Compiled 216 to 141 computations (34.7% saved)

regimes68.0ms (1%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	v
19.0ms	m
9.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
8.0ms	(.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 439 to 241 computations (45.1% saved)

regimes46.0ms (0.7%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	m
15.0ms	v

Results

Error	Segments	Branch
0.1b	2	`m`
9.6b	1	`v`

Compiler

Compiled 215 to 114 computations (47% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.2468957312307626e-17	2.2652745684007436e-13

Compiler

Compiled 20 to 15 computations (25% saved)

regimes42.0ms (0.6%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	m
14.0ms	v

Results

Error	Segments	Branch
0.1b	2	`m`
9.6b	1	`v`

Compiler

Compiled 204 to 107 computations (47.5% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.2468957312307626e-17	2.2652745684007436e-13

Compiler

Compiled 20 to 15 computations (25% saved)

regimes33.0ms (0.5%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	m
10.0ms	v

Results

Error	Segments	Branch
1.8b	2	`m`
9.6b	1	`v`

Compiler

Compiled 149 to 73 computations (51% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes32.0ms (0.5%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	m
9.0ms	v

Results

Error	Segments	Branch
1.8b	2	`m`
9.6b	1	`v`

Compiler

Compiled 138 to 66 computations (52.2% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes31.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	m
10.0ms	v

Results

Error	Segments	Branch
1.9b	2	`m`
9.6b	1	`v`

Compiler

Compiled 120 to 57 computations (52.5% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes24.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	m
8.0ms	v

Results

Error	Segments	Branch
1.9b	2	`m`
9.6b	1	`v`

Compiler

Compiled 84 to 40 computations (52.4% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes21.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	m
6.0ms	v

Results

Error	Segments	Branch
1.9b	2	`m`
9.6b	1	`v`

Compiler

Compiled 66 to 31 computations (53% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes20.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	m
6.0ms	v

Results

Error	Segments	Branch
3.1b	2	`m`
9.6b	1	`v`

Compiler

Compiled 57 to 27 computations (52.6% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes19.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	m
7.0ms	v

Results

Error	Segments	Branch
3.1b	2	`m`
9.6b	1	`v`

Compiler

Compiled 48 to 24 computations (50% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.008128478897191097	3.7092661679006795

Compiler

Compiled 20 to 15 computations (25% saved)

regimes43.0ms (0.6%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	m
17.0ms	v

Results

Error	Segments	Branch
16.0b	5	`m`
19.8b	4	`v`

Compiler

Compiled 41 to 21 computations (48.8% saved)

bsearch160.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	0.008128478897191097	3.7092661679006795
39.0ms	5.763595411936872e-105	6.390814039308128e-105
41.0ms	7.356795043180538e-124	1.7018295068123415e-122
39.0ms	4.680530328283228e-186	1.2286892348530514e-185

Compiler

Compiled 20 to 15 computations (25% saved)

regimes87.0ms (1.3%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	m
38.0ms	v

Results

Error	Segments	Branch
16.1b	5	`m`
19.8b	4	`v`

Compiler

Compiled 34 to 18 computations (47.1% saved)

bsearch154.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
34.0ms	0.008128478897191097	3.7092661679006795
39.0ms	5.763595411936872e-105	6.390814039308128e-105
40.0ms	7.356795043180538e-124	1.7018295068123415e-122
40.0ms	4.680530328283228e-186	1.2286892348530514e-185

Compiler

Compiled 20 to 15 computations (25% saved)

regimes33.0ms (0.5%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	m
15.0ms	v

Results

Error	Segments	Branch
22.6b	4	`m`
19.8b	4	`v`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch65.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
22.0ms	2.231192335734224e-167	9.978957906392854e-163
20.0ms	3.486283544854776e-223	4.998408178403703e-223
22.0ms	1.571170013565602e-230	8.028051815650982e-227

Compiler

Compiled 20 to 15 computations (25% saved)

regimes32.0ms (0.5%)

Accuracy

Total -43.9b remaining (-229.7%)

Threshold costs -43.9b (-229.7%)

Counts

2 → 6

Calls

Call 1

Inputs
-1
(/.f64 m v)

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

Calls

2 calls:

17.0ms	v
14.0ms	m

Results

Error	Segments	Branch
22.6b	4	`m`
19.1b	6	`v`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch108.0ms (1.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	7.241819253646235e-129	1.0134068441213548e-128
28.0ms	1.0889312071123394e-132	1.853487782909661e-132
20.0ms	2.231192335734224e-167	9.978957906392854e-163
20.0ms	3.486283544854776e-223	4.998408178403703e-223
21.0ms	1.571170013565602e-230	8.028051815650982e-227

Compiler

Compiled 20 to 15 computations (25% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

110×	`distribute-rgt-neg-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
86×	`distribute-lft-neg-out_binary64`
68×	`neg-sub0_binary64`
68×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	463
1	111	463
2	125	463
3	137	463
4	181	463
5	297	463
6	417	463
7	554	463
8	696	463
9	769	463
10	816	463
11	855	463
12	885	463
13	893	463

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
(if (<=.f64 m 8092815985237469/649037107316853453566312041152512) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 8092815985237469/649037107316853453566312041152512) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 1 (/.f64 v (.f64 m (*.f64 m (+.f64 m -2))))))
(if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m)))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m)))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m (.f64 m (+.f64 m -2))) v))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (+.f64 m -2) (/.f64 v (*.f64 m m))))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 1 (/.f64 v (.f64 m (.f64 m m)))))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m (.f64 m m)) v))
(if (<=.f64 m 5732342977563059/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) -1 (if (<=.f64 m 4380429126934189/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 m v) (if (<=.f64 m 7441521774908127/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) -1 (if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 1 m) (/.f64 m v)) (/.f64 (.f64 m (*.f64 m m)) v)))))
(if (<=.f64 m 5732342977563059/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) -1 (if (<=.f64 m 4380429126934189/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 m v) (if (<=.f64 m 7441521774908127/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) -1 (if (<=.f64 m 2342874530078641/288230376151711744) (/.f64 m v) (/.f64 (.f64 m (.f64 m m)) v)))))
(if (<=.f64 v 1716483576129695/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 m v) (if (<=.f64 v 2270174706465155/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) -1 (if (<=.f64 v 2962677546975075/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 m v) (+.f64 -1 m))))
(if (<=.f64 v 1716483576129695/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 m v) (if (<=.f64 v 2270174706465155/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) -1 (if (<=.f64 v 2962677546975075/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 m v) (if (<=.f64 v 435119285401189/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) -1 (if (<=.f64 v 353236543073759/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 m v) -1)))))
-1

Outputs
(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))
(.f64 (+.f64 (/.f64 (-.f64 m (.f64 m m)) v) -1) (-.f64 1 m))
(if (<=.f64 m 8092815985237469/649037107316853453566312041152512) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 8092815985237469/649037107316853453566312041152512) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (-.f64 1 m) (.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 8092815985237469/649037107316853453566312041152512) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 8092815985237469/649037107316853453566312041152512) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 1 (/.f64 v (.f64 m (*.f64 m (+.f64 m -2))))))
(if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 1 (/.f64 v (.f64 m (*.f64 m (+.f64 m -2))))))
(if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m)))
(if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (.f64 (+.f64 m -2) (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (/.f64 (.f64 m m) v) (+.f64 -2 m)))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (.f64 (+.f64 m -2) (/.f64 (.f64 m m) v)))
(if (<=.f64 m 2342874530078641/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (.f64 (+.f64 m -2) (/.f64 (.f64 m m) v)))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m (.f64 m (+.f64 m -2))) v))
(if (<=.f64 m 2342874530078641/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (.f64 m (.f64 m (+.f64 m -2))) v))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (+.f64 m -2) (/.f64 v (*.f64 m m))))
(if (<=.f64 m 2342874530078641/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (+.f64 m -2) (/.f64 v (*.f64 m m))))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 1 (/.f64 v (.f64 m (.f64 m m)))))
(if (<=.f64 m 2342874530078641/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 1 (/.f64 v (.f64 m (.f64 m m)))))
(if (<=.f64 m 2342874530078641/288230376151711744) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (.f64 m (.f64 m m)) v))
(if (<=.f64 m 2342874530078641/288230376151711744) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (.f64 m (.f64 m m)) v))
(if (<=.f64 m 5732342977563059/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) -1 (if (<=.f64 m 4380429126934189/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 m v) (if (<=.f64 m 7441521774908127/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) -1 (if (<=.f64 m 2342874530078641/288230376151711744) (.f64 (-.f64 1 m) (/.f64 m v)) (/.f64 (.f64 m (*.f64 m m)) v)))))
(if (<=.f64 m 5732342977563059/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) -1 (if (<=.f64 m 4380429126934189/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 m v) (if (<=.f64 m 7441521774908127/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) -1 (if (<=.f64 m 2342874530078641/288230376151711744) (/.f64 m v) (/.f64 (.f64 m (.f64 m m)) v)))))
(if (<=.f64 v 1716483576129695/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 m v) (if (<=.f64 v 2270174706465155/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) -1 (if (<=.f64 v 2962677546975075/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 m v) (+.f64 -1 m))))
(if (<=.f64 v 1716483576129695/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 m v) (if (<=.f64 v 2270174706465155/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) -1 (if (<=.f64 v 2962677546975075/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 m v) (+.f64 m -1))))
(if (<=.f64 v 1716483576129695/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 m v) (if (<=.f64 v 2270174706465155/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) -1 (if (<=.f64 v 2962677546975075/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 m v) (if (<=.f64 v 435119285401189/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) -1 (if (<=.f64 v 353236543073759/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 m v) -1)))))
-1

Compiler

Compiled 352 to 226 computations (35.8% saved)

soundness77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 40 to 29 computations (27.5% saved)

end134.0ms (1.9%)

Compiler: Compiled 324 to 173 computations (46.6% 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	85	463
1	111	463
2	125	463
3	137	463
4	181	463
5	297	463
6	417	463
7	554	463
8	696	463
9	769	463
10	816	463
11	855	463
12	885	463
13	893	463

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	85	463
1	111	463
2	125	463
3	137	463
4	181	463
5	297	463
6	417	463
7	554	463
8	696	463
9	769	463
10	816	463
11	855	463
12	885	463
13	893	463

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	85	463
1	111	463
2	125	463
3	137	463
4	181	463
5	297	463
6	417	463
7	554	463
8	696	463
9	769	463
10	816	463
11	855	463
12	885	463
13	893	463