Details

analyze32.0ms (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 24 to 17 computations (29.2% saved)

sample1.1s (20.5%)

Results

1.1s	8256×	body	256	valid
14.0ms	122×	body	256	infinite

Bogosity

preprocess89.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

820×	`fma-neg_binary64`
653×	`times-frac_binary64`
329×	`cancel-sign-sub-inv_binary64`
302×	`div-sub_binary64`
289×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	68	28
3	159	28
4	601	28
5	1945	28
6	4610	28
7	6573	28
8	7424	28
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) m)
(.f64 (-.f64 (/.f64 (.f64 v (-.f64 1 v)) m) 1) v)

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify99.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1161×	`fma-def_binary64`
913×	`fma-neg_binary64`
433×	`associate-/l*_binary64`
409×	`div-sub_binary64`
291×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	14
3	85	14
4	285	14
5	741	14
6	1889	14
7	3286	14
8	4070	14
9	4416	14
10	5029	14
11	6608	14
12	7386	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
▶	0.2b	(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

Compiler

Compiled 25 to 17 computations (32% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
901×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	183	25
2	2339	25

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

442×	`distribute-rgt-neg-in_binary64`
436×	`fma-def_binary64`
390×	`fma-neg_binary64`
369×	`distribute-rgt-out--_binary64`
351×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	747
1	75	677
2	161	677
3	384	509
4	1384	509
5	4946	509

Stop Event

1×	node limit

Counts

86 → 61

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
501×	`prod-diff_binary64`
351×	`pow-prod-down_binary64`
264×	`pow2_binary64`
185×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	201	33
2	2909	31

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

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

Outputs

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

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

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

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

483×	`distribute-rgt-neg-in_binary64`
466×	`fma-def_binary64`
339×	`fma-neg_binary64`
316×	`associate-/l*_binary64`
314×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	646
1	67	585
2	142	585
3	350	531
4	1303	474
5	5097	474

Stop Event

1×	node limit

Counts

160 → 134

Calls

Call 1

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

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

eval59.0ms (1.1%)

Compiler: Compiled 2804 to 1723 computations (38.6% saved)

prune40.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	182	13	195
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	184	13	197

Error

0.0b

Counts

197 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(*.f64 (-.f64 (/.f64 m v) 1) m)
▶	37.2b	(neg.f64 m)
▶	7.3b	(.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) v)) 1) m)
	15.8b	(.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 m (-.f64 1 m)) 3)) v) 1) m)
▶	55.5b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
▶	0.2b	(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) m)
	12.0b	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	20.2b	(*.f64 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3)) 1) m)
▶	34.2b	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
	26.8b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
	26.8b	(.f64 m (/.f64 (.f64 m (-.f64 1 m)) v))
	8.2b	(-.f64 (/.f64 m (/.f64 v m)) m)

Compiler

Compiled 348 to 244 computations (29.9% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`prod-diff_binary64`
567×	`log-prod_binary64`
280×	`pow2_binary64`
231×	`fma-def_binary64`
216×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	221	24
2	3043	24

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

458×	`distribute-rgt-neg-in_binary64`
407×	`fma-def_binary64`
375×	`distribute-rgt-out--_binary64`
357×	`distribute-lft-neg-in_binary64`
345×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	564
1	66	548
2	144	548
3	349	548
4	1326	518
5	4793	518

Stop Event

1×	node limit

Counts

126 → 95

Calls

Call 1

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

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

localize2.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
634×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
620×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	152	14
2	2233	14

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

810×	`distribute-rgt-neg-in_binary64`
548×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
509×	`cancel-sign-sub-inv_binary64`
445×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	432
1	32	432
2	69	432
3	156	432
4	536	432
5	2475	432
6	5197	432

Stop Event

1×	node limit

Counts

87 → 43

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 m 2) (-.f64 1 m))
✓	14.4b	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)

Compiler

Compiled 28 to 19 computations (32.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
1.0ms	v	@	inf	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
1.0ms	m	@	0	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
0.0ms	v	@	-inf	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
0.0ms	m	@	inf	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`log-prod_binary64`
350×	`exp-prod_binary64`
339×	`prod-exp_binary64`
282×	`pow-prod-down_binary64`
247×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	194	23
2	2513	23

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-neg_binary64`
646×	`cancel-sign-sub-inv_binary64`
536×	`unswap-sqr_binary64`
412×	`associate-l_binary64`
379×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	293
1	35	275
2	88	275
3	234	248
4	785	248
5	3723	248

Stop Event

1×	node limit

Counts

184 → 171

Calls

Call 1

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

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

localize60.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 92 to 64 computations (30.4% saved)

series14.0ms (0.3%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)
2.0ms	m	@	inf	(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)
1.0ms	m	@	0	(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)
1.0ms	m	@	-inf	(.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))
1.0ms	m	@	-inf	(.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) v)) 1) m)

rewrite86.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
635×	`prod-diff_binary64`
308×	`pow2_binary64`
216×	`pow1/3_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	272	47
2	3509	47

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

802×	`associate-/l*_binary64`
522×	`fma-neg_binary64`
482×	`cancel-sign-sub-inv_binary64`
446×	`associate-/l/_binary64`
369×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1325
1	306	1205
2	858	1027
3	2750	1007

Stop Event

1×	node limit

Counts

242 → 221

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

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

eval284.0ms (5.4%)

Compiler: Compiled 11760 to 7590 computations (35.5% saved)

prune99.0ms (1.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	612	12	624
Fresh	6	2	8
Picked	1	0	1
Done	2	2	4
Total	621	16	637

Error

Counts

637 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	60.2b	(/.f64 (*.f64 m m) (/.f64 v m))
✓	55.5b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
	34.8b	(pow.f64 (*.f64 (pow.f64 m -2) (/.f64 v (-.f64 1 m))) -1)
	11.9b	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 2) -1) m) (+.f64 1 (/.f64 m (/.f64 v (-.f64 1 m)))))
	8.2b	(*.f64 (-.f64 (/.f64 m v) 1) m)
▶	34.8b	(*.f64 m (/.f64 m v))
	34.2b	(.f64 (/.f64 (.f64 m m) v) (-.f64 1 m))
	55.5b	(.f64 m (/.f64 (.f64 m m) (neg.f64 v)))
	42.3b	(/.f64 (*.f64 m m) v)
✓	37.2b	(neg.f64 m)
▶	7.3b	(.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 v (sqrt.f64 (*.f64 m (-.f64 1 m))))) 1) m)
▶	34.3b	(.f64 (-.f64 1 m) (.f64 (*.f64 m m) (/.f64 1 v)))
	34.3b	(.f64 (.f64 m m) (/.f64 1 (/.f64 v (-.f64 1 m))))
▶	26.8b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
	34.3b	(.f64 (/.f64 (.f64 m m) 1) (/.f64 (-.f64 1 m) v))
▶	8.2b	(-.f64 (/.f64 m (/.f64 v m)) m)

Compiler

Compiled 356 to 237 computations (33.4% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (*.f64 m (-.f64 1 m)))
✓	0.1b	(.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 v (sqrt.f64 (*.f64 m (-.f64 1 m))))) 1) m)
✓	0.2b	(/.f64 v (sqrt.f64 (*.f64 m (-.f64 1 m))))
✓	0.3b	(/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) (/.f64 v (sqrt.f64 (.f64 m (-.f64 1 m)))))

Compiler

Compiled 78 to 52 computations (33.3% saved)

series10.0ms (0.2%)

Counts

3 → 68

Calls

18 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
668×	`log-prod_binary64`
219×	`pow1/3_binary64`
212×	`expm1-udef_binary64`
211×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	246	38
2	3551	38

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-neg_binary64`
437×	`associate-/r/_binary64`
428×	`times-frac_binary64`
413×	`cancel-sign-sub-inv_binary64`
263×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1241
1	243	1154
2	746	998
3	3223	966
4	7952	966

Stop Event

1×	node limit

Counts

194 → 167

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1410	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify109.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`
393×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	37	168
4	83	168
5	266	168
6	1091	168
7	3478	168
8	4280	168
9	4465	168
10	4681	168
11	5028	168
12	5456	168
13	5935	168
14	6584	168
15	7273	168

Stop Event

1×	node limit

Counts

44 → 22

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)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
808×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	141	17
2	2243	17

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-/r/_binary64`
478×	`associate-/r*_binary64`
435×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
425×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	18	378
2	30	378
3	61	378
4	144	378
5	482	378
6	2204	378

Stop Event

1×	node limit

Counts

124 → 81

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

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

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
✓	0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
392×	`prod-exp_binary64`
356×	`exp-prod_binary64`
321×	`pow-prod-down_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	173	23
2	2422	23

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-neg_binary64`
374×	`cancel-sign-sub-inv_binary64`
340×	`associate-/l*_binary64`
283×	`*-commutative_binary64`
257×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	719
1	52	656
2	114	656
3	278	530
4	1041	530
5	3467	530
6	7855	530

Stop Event

1×	node limit

Counts

129 → 93

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 m) (.f64 (*.f64 m m) (/.f64 1 v)))
✓	14.6b	(.f64 (.f64 m m) (/.f64 1 v))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`pow1_binary64`
912×	`add-log-exp_binary64`
911×	`log1p-expm1-u_binary64`
911×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	20
2	2590	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-def_binary64`
402×	`fma-neg_binary64`
354×	`cancel-sign-sub-inv_binary64`
321×	`associate-*l/_binary64`
251×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	550
1	40	529
2	88	529
3	236	466
4	886	466
5	2966	466
6	7732	466

Stop Event

1×	node limit

Counts

100 → 59

Calls

Call 1

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

eval291.0ms (5.5%)

Compiler: Compiled 9516 to 6038 computations (36.5% saved)

prune85.0ms (1.6%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	526	8	534
Fresh	6	3	9
Picked	1	0	1
Done	1	5	6
Total	534	16	550

Error

Counts

550 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.2b	(/.f64 (*.f64 m m) (/.f64 v m))
	42.3b	(/.f64 (*.f64 m m) v)
✓	55.5b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
▶	26.8b	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
✓	34.8b	(*.f64 m (/.f64 m v))
	34.2b	(.f64 (/.f64 (.f64 m m) v) (-.f64 1 m))
	55.5b	(.f64 m (/.f64 (.f64 m m) (neg.f64 v)))
	17.7b	(-.f64 (*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) m)
▶	8.2b	(*.f64 (-.f64 (/.f64 m v) 1) m)
✓	26.8b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
	8.4b	(-.f64 (.f64 (.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m)) m)
▶	34.8b	(/.f64 m (/.f64 v m))
▶	34.2b	(/.f64 (.f64 (.f64 m (-.f64 1 m)) m) v)
✓	37.2b	(neg.f64 m)
	11.9b	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 2) -1) m) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
✓	8.2b	(-.f64 (/.f64 m (/.f64 v m)) m)

Compiler

Compiled 293 to 183 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`pow1_binary64`
740×	`add-log-exp_binary64`
739×	`log1p-expm1-u_binary64`
739×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	2013	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/r/_binary64`
478×	`associate-/r*_binary64`
436×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
425×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	18	210
2	30	210
3	61	210
4	143	210
5	484	210
6	2203	210

Stop Event

1×	node limit

Counts

43 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(/.f64 m (/.f64 v m))

Compiler

Compiled 12 to 4 computations (66.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(/.f64 (*.f64 m m) (/.f64 v m))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
728×	`add-log-exp_binary64`
728×	`log1p-expm1-u_binary64`
728×	`expm1-log1p-u_binary64`
709×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	134	7
2	2013	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify142.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

720×	`sqr-pow_binary64`
442×	`cube-prod_binary64`
398×	`associate-/r/_binary64`
382×	`associate-*r/_binary64`
381×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	14	168
2	25	168
3	46	168
4	93	168
5	267	168
6	1035	168
7	3112	168
8	3779	168
9	3987	168
10	4148	168
11	4442	168
12	4822	168
13	5254	168
14	5767	168
15	6385	168
16	7111	168
17	7432	168
18	7718	168
19	7944	168

Stop Event

1×	node limit

Counts

65 → 42

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	160	20
2	2453	20

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
509×	`cancel-sign-sub-inv_binary64`
492×	`associate-l_binary64`
434×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	458
1	43	374
2	95	374
3	228	374
4	815	374
5	4092	374

Stop Event

1×	node limit

Counts

117 → 93

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(.f64 (.f64 m (-.f64 1 m)) m)
✓	14.4b	(/.f64 (.f64 (.f64 m (-.f64 1 m)) m) v)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`pow1_binary64`
908×	`add-log-exp_binary64`
908×	`log1p-expm1-u_binary64`
908×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	171	23
2	2370	23

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

530×	`fma-neg_binary64`
393×	`cancel-sign-sub-inv_binary64`
359×	`associate-*l/_binary64`
288×	`*-commutative_binary64`
273×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	497
1	45	467
2	108	467
3	307	404
4	1096	404
5	3643	404

Stop Event

1×	node limit

Counts

92 → 69

Calls

Call 1

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

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

eval105.0ms (2%)

Compiler: Compiled 3758 to 1802 computations (52% saved)

prune60.0ms (1.1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	2	4	6
Picked	1	0	1
Done	1	8	9
Total	306	16	322

Error

Counts

322 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	60.2b	(/.f64 (*.f64 m m) (/.f64 v m))
	42.3b	(/.f64 (*.f64 m m) v)
✓	55.5b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
	8.4b	(-.f64 (.f64 (.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m)) m)
	55.5b	(.f64 (/.f64 m v) (.f64 m (neg.f64 m)))
	55.5b	(/.f64 (.f64 (.f64 m (neg.f64 m)) m) v)
✓	34.8b	(*.f64 m (/.f64 m v))
	34.2b	(.f64 (/.f64 (.f64 m m) v) (-.f64 1 m))
	55.5b	(.f64 m (/.f64 (.f64 m m) (neg.f64 v)))
	15.5b	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))
✓	8.2b	(*.f64 (-.f64 (/.f64 m v) 1) m)
✓	26.8b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
✓	34.8b	(/.f64 m (/.f64 v m))
✓	37.2b	(neg.f64 m)
	42.4b	(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m)))
✓	8.2b	(-.f64 (/.f64 m (/.f64 v m)) m)

Compiler

Compiled 155 to 95 computations (38.7% saved)

regimes73.0ms (1.4%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
20.0ms	m
19.0ms	v

Results

Error	Segments	Branch
0.2b	1	`m`
0.2b	1	`v`
0.2b	1	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)`

Compiler

Compiled 437 to 243 computations (44.4% saved)

regimes48.0ms (0.9%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	m
14.0ms	v

Results

Error	Segments	Branch
0.1b	2	`m`
8.2b	1	`v`

Compiler

Compiled 195 to 85 computations (56.4% saved)

bsearch32.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	1.1296446296289777e-17	3.5199891226339496e-17

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes38.0ms (0.7%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	m
14.0ms	v

Results

Error	Segments	Branch
0.2b	2	`m`
8.2b	1	`v`

Compiler

Compiled 115 to 42 computations (63.5% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.1296446296289777e-17	3.5199891226339496e-17

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes28.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	m
8.0ms	v

Results

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

Compiler

Compiled 106 to 40 computations (62.3% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.48361068443153143	12.683476707959299

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.4%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	m
7.0ms	v

Results

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

Compiler

Compiled 73 to 26 computations (64.4% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.48361068443153143	12.683476707959299

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	m
6.0ms	v

Results

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

regimes18.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	v
6.0ms	m

Results

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

Compiler

Compiled 58 to 23 computations (60.3% saved)

regimes23.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 m (/.f64 m v))
(neg.f64 m)

Calls

2 calls:

13.0ms	m
9.0ms	v

Results

Error	Segments	Branch
21.9b	2	`m`
19.4b	2	`v`

Compiler

Compiled 30 to 13 computations (56.7% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	3.5546595907615584e-119	7.99949350480679e-115

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	m
7.0ms	v

Results

Error	Segments	Branch
21.9b	2	`m`
19.4b	2	`v`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	3.5546595907615584e-119	7.99949350480679e-115

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.3%)

Accuracy

Total -37.1b remaining (-151.5%)

Threshold costs -37.1b (-151.5%)

Counts

2 → 2

Calls

Call 1

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

Outputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)

Calls

2 calls:

9.0ms	m
6.0ms	v

Results

Error	Segments	Branch
24.5b	2	`m`
26.9b	2	`v`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	8.955746477490313e-166	1.1128484969786855e-164

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
11×	`+-commutative_binary64`
11×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	201
1	66	201
2	83	201
3	103	201
4	113	201
5	119	201
6	121	201

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
(if (<=.f64 m 1832953206776025/162259276829213363391578010288128) (.f64 (-.f64 (/.f64 m v) 1) m) (/.f64 (.f64 (*.f64 m (-.f64 1 m)) m) v))
(if (<=.f64 m 1832953206776025/162259276829213363391578010288128) (.f64 (-.f64 (/.f64 m v) 1) m) (.f64 (/.f64 m v) (-.f64 m (*.f64 m m))))
(if (<=.f64 m 4355977796396471/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (.f64 (.f64 m (neg.f64 m)) m) v))
(if (<=.f64 m 4355977796396471/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (.f64 (/.f64 m v) (.f64 m (neg.f64 m))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(if (<=.f64 v 807395075704461/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (*.f64 m (/.f64 m v)) (neg.f64 m))
(if (<=.f64 v 807395075704461/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 m (/.f64 v m)) (neg.f64 m))
(if (<=.f64 m 7432401887859433/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 m) (/.f64 (*.f64 m m) v))
(neg.f64 m)

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
(.f64 m (+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) -1))
(if (<=.f64 m 1832953206776025/162259276829213363391578010288128) (.f64 (-.f64 (/.f64 m v) 1) m) (/.f64 (.f64 (*.f64 m (-.f64 1 m)) m) v))
(if (<=.f64 m 1832953206776025/162259276829213363391578010288128) (.f64 m (+.f64 (/.f64 m v) -1)) (/.f64 (.f64 m (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 1832953206776025/162259276829213363391578010288128) (.f64 (-.f64 (/.f64 m v) 1) m) (.f64 (/.f64 m v) (-.f64 m (*.f64 m m))))
(if (<=.f64 m 1832953206776025/162259276829213363391578010288128) (.f64 m (+.f64 (/.f64 m v) -1)) (.f64 (/.f64 m v) (-.f64 m (*.f64 m m))))
(if (<=.f64 m 4355977796396471/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (.f64 (.f64 m (neg.f64 m)) m) v))
(if (<=.f64 m 4355977796396471/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (.f64 m (.f64 m (neg.f64 m))) v))
(if (<=.f64 m 4355977796396471/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (.f64 (/.f64 m v) (.f64 m (neg.f64 m))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (+.f64 (/.f64 m v) -1))
(if (<=.f64 v 807395075704461/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (*.f64 m (/.f64 m v)) (neg.f64 m))
(if (<=.f64 v 807395075704461/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 m (/.f64 v m)) (neg.f64 m))
(if (<=.f64 m 7432401887859433/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 m) (/.f64 (*.f64 m m) v))
(neg.f64 m)

Compiler

Compiled 160 to 97 computations (39.4% saved)

soundness120.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

483×	`distribute-rgt-neg-in_binary64`
466×	`fma-def_binary64`
339×	`fma-neg_binary64`
316×	`associate-/l*_binary64`
314×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	646
1	67	585
2	142	585
3	350	531
4	1303	474
5	5097	474

Stop Event

1×	node limit

Compiler

Compiled 244 to 158 computations (35.2% saved)

end72.0ms (1.4%)

Compiler: Compiled 140 to 58 computations (58.6% saved)