Details

analyze30.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12

Compiler

Compiled 24 to 17 computations (29.2% saved)

sample958.0ms (18.4%)

Results

934.0ms	8256×	body	256	valid
10.0ms	97×	body	256	invalid

preprocess91.0ms (1.8%)

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)

simplify109.0ms (2.1%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 17 computations (32% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (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)))))))

simplify63.0ms (1.2%)

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))
✓	0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.2b	(.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	m	@	-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)))))))

simplify60.0ms (1.1%)

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))

eval54.0ms (1%)

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

prune43.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	180	15	195
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	182	15	197

Error

0.0b

Counts

197 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
	55.6b	(/.f64 (neg.f64 (pow.f64 m 3)) v)
	7.9b	(-.f64 (/.f64 m (/.f64 v m)) m)
▶	0.2b	(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
▶	55.7b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
▶	0.2b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
	7.5b	(.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
	1.5b	(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)
▶	34.8b	(neg.f64 m)
	0.3b	(.f64 (-.f64 (.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v))) 1) m)
	9.5b	(.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 m v) (-.f64 1 m)))) 1) m)
	7.9b	(*.f64 (-.f64 (/.f64 m v) 1) m)
	29.2b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
	29.1b	(.f64 m (/.f64 (.f64 m (-.f64 1 m)) v))

Compiler

Compiled 358 to 248 computations (30.7% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 20 computations (47.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
490×	`prod-diff_binary64`
374×	`pow-prod-down_binary64`
261×	`pow2_binary64`
232×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	201	24
2	2853	24

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

simplify60.0ms (1.2%)

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	741
1	66	665
2	144	665
3	349	548
4	1325	518
5	4793	518

Stop Event

1×	node limit

Counts

164 → 133

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

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

localize3.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
✓	0.2b	(*.f64 m (/.f64 (neg.f64 m) v))

Compiler

Compiled 24 to 6 computations (75% saved)

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (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 (neg.f64 m) v))
(.f64 m (.f64 m (/.f64 (neg.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 (*.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))))))))

((#(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)))))))

simplify59.0ms (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	539	432
5	2453	432
6	5178	432

Stop Event

1×	node limit

Counts

87 → 43

Calls

Call 1

Inputs
(*.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))
(*.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))

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

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (1.3%)

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))))))

simplify60.0ms (1.2%)

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))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

series20.0ms (0.4%)

Counts

4 → 84

Calls

24 calls:

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

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
394×	`prod-diff_binary64`
316×	`pow2_binary64`
220×	`pow1/3_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	247	43
2	3514	41

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (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 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 m (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 v m) (-.f64 1 m)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 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m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (/.f64 (cbrt.f64 m) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) 2)) (/.f64 m (cbrt.f64 (/.f64 v (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) 2)) (/.f64 (cbrt.f64 m) (cbrt.f64 (/.f64 v (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 v (-.f64 1 m)))))))) 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simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

731×	`sub-neg_binary64`
583×	`fma-neg_binary64`
331×	`associate-+l-_binary64`
270×	`cancel-sign-sub-inv_binary64`
265×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1128
1	182	1072
2	514	1048
3	1655	1032
4	6373	1032

Stop Event

1×	node limit

Counts

259 → 223

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

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

eval247.0ms (4.8%)

Compiler: Compiled 8435 to 5063 computations (40% saved)

prune141.0ms (2.7%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	522	10	532
Fresh	5	5	10
Picked	1	0	1
Done	1	3	4
Total	529	18	547

Error

0.0b

Counts

547 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.5b	(.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
	55.6b	(/.f64 (pow.f64 m 3) (neg.f64 v))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	29.4b	(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (neg.f64 m))) 1) m)
▶	0.3b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 m) v) (/.f64 1 m)) 1) m)
	0.3b	(.f64 (-.f64 (.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v))) 1) m)
	55.7b	(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
▶	29.2b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
✓	55.7b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
✓	0.2b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
✓	34.8b	(neg.f64 m)
▶	7.9b	(*.f64 (-.f64 (/.f64 m v) 1) m)
	35.3b	(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
	12.7b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	18.9b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) m) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
	29.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 m v)))
▶	0.3b	(*.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 v m) (-.f64 1 m))) 1) m)
	7.9b	(-.f64 (/.f64 m (/.f64 v m)) m)

Compiler

Compiled 465 to 316 computations (32% saved)

localize34.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 m) v)
✓	0.2b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 m) v) (/.f64 1 m)) 1) m)
✓	0.4b	(/.f64 (/.f64 (-.f64 1 m) v) (/.f64 1 m))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series9.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

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

rewrite85.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
564×	`prod-diff_binary64`
304×	`pow2_binary64`
250×	`log-div_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	234	31
2	3554	31

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

467×	`distribute-rgt-neg-in_binary64`
409×	`distribute-rgt-out--_binary64`
407×	`fma-def_binary64`
358×	`distribute-lft-neg-in_binary64`
357×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	856
1	74	771
2	158	771
3	372	627
4	1360	597
5	4859	597

Stop Event

1×	node limit

Counts

232 → 194

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.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	@	0	(*.f64 (-.f64 (/.f64 m v) 1) m)

rewrite47.0ms (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))))))))

simplify43.0ms (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))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (1.4%)

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)))))))

simplify109.0ms (2.1%)

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))

localize34.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 29 computations (43.1% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`log-prod_binary64`
530×	`prod-diff_binary64`
300×	`pow2_binary64`
234×	`log-div_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	232	34
2	3509	34

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

simplify91.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

453×	`sub-neg_binary64`
453×	`fma-def_binary64`
352×	`distribute-rgt-out_binary64`
333×	`fma-neg_binary64`
290×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	919
1	148	885
2	391	873
3	1148	873
4	4921	873

Stop Event

1×	node limit

Counts

237 → 199

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

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

localize47.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))
✓	0.1b	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
✓	0.1b	(.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)

Compiler

Compiled 63 to 37 computations (41.3% saved)

series29.0ms (0.6%)

Counts

3 → 27

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
3.0ms	m	@	0	(pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)
3.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)
3.0ms	v	@	0	(pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)
2.0ms	m	@	inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)

rewrite84.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
555×	`prod-diff_binary64`
295×	`pow2_binary64`
245×	`fma-def_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	267	36
2	3298	36

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
342×	`associate-+l+_binary64`
254×	`unsub-neg_binary64`
214×	`associate-+r+_binary64`
211×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	872
1	424	626
2	1573	473
3	5841	464

Stop Event

1×	node limit

Counts

190 → 200

Calls

Call 1

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

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

eval323.0ms (6.2%)

Compiler: Compiled 17148 to 10011 computations (41.6% saved)

prune129.0ms (2.5%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	876	9	885
Fresh	7	3	10
Picked	1	0	1
Done	2	5	7
Total	886	17	903

Error

0.0b

Counts

903 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.8b	(neg.f64 m)
	14.4b	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))
	35.3b	(/.f64 (.f64 (.f64 m (-.f64 1 m)) m) v)
	8.0b	(*.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 m v)) 2) 1) m)
	55.7b	(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
✓	29.2b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
	7.9b	(*.f64 (-.f64 (/.f64 (/.f64 1 v) (/.f64 1 m)) 1) m)
▶	36.8b	(*.f64 m (/.f64 m v))
▶	35.4b	(+.f64 0 (.f64 (/.f64 (-.f64 1 m) v) (.f64 m m)))
▶	7.9b	(-.f64 (/.f64 m (/.f64 v m)) m)
	9.0b	(pow.f64 (cbrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 3)
✓	55.7b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
✓	0.2b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
▶	29.2b	(.f64 m (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))))
	20.2b	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 3) -1) m) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))
✓	7.9b	(*.f64 (-.f64 (/.f64 m v) 1) m)
▶	29.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 m v)))

Compiler

Compiled 349 to 231 computations (33.8% saved)

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)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (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))))))

simplify47.0ms (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)

localize5.0ms (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	@	0	(*.f64 m (/.f64 m v))
0.0ms	m	@	-inf	(*.f64 m (/.f64 m v))
0.0ms	m	@	inf	(*.f64 m (/.f64 m v))
0.0ms	v	@	inf	(*.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))))))))

simplify108.0ms (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))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`pow1_binary64`
876×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2313	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.2%)

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	382
1	40	361
2	88	361
3	236	298
4	886	298
5	2966	298
6	7732	298

Stop Event

1×	node limit

Counts

53 → 36

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)

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 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))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

series10.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

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

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
342×	`pow-prod-down_binary64`
257×	`pow2_binary64`
253×	`pow-unpow_binary64`
183×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	201	33
2	2886	33

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-/r/_binary64`
409×	`sub-neg_binary64`
397×	`fma-def_binary64`
291×	`distribute-rgt-out_binary64`
284×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	849
1	132	810
2	359	798
3	1075	735
4	4589	735

Stop Event

1×	node limit

Counts

215 → 182

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 m) v)
✓	13.2b	(.f64 (/.f64 (-.f64 1 m) v) (.f64 m m))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`pow1_binary64`
918×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	13
2	2436	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.2%)

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	382
1	40	361
2	88	361
3	236	298
4	886	298
5	2966	298
6	7732	298

Stop Event

1×	node limit

Counts

48 → 31

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)

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 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))

eval130.0ms (2.5%)

Compiler: Compiled 7798 to 4039 computations (48.2% saved)

prune83.0ms (1.6%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	485	8	493
Fresh	4	3	7
Picked	1	0	1
Done	1	8	9
Total	491	19	510

Error

Counts

510 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.8b	(neg.f64 m)
	14.4b	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))
	36.8b	(*.f64 m (/.f64 1 (/.f64 v m)))
	8.0b	(-.f64 (.f64 (.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m)) m)
	35.3b	(/.f64 (.f64 (-.f64 1 m) (.f64 m m)) v)
	8.0b	(*.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 m v)) 2) 1) m)
	55.7b	(.f64 m (/.f64 1 (/.f64 v (.f64 m (neg.f64 m)))))
✓	29.1b	(.f64 (-.f64 1 m) (.f64 m (/.f64 m v)))
	55.7b	(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
✓	29.2b	(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
✓	36.8b	(*.f64 m (/.f64 m v))
	29.2b	(/.f64 (/.f64 m v) (/.f64 (/.f64 1 m) (-.f64 1 m)))
✓	7.9b	(-.f64 (/.f64 m (/.f64 v m)) m)
	36.8b	(/.f64 m (/.f64 v m))
✓	55.7b	(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
✓	0.2b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
✓	7.9b	(*.f64 (-.f64 (/.f64 m v) 1) m)
	43.0b	(+.f64 0 (.f64 (/.f64 1 v) (.f64 m m)))
	43.0b	(/.f64 (*.f64 m m) v)

Compiler

Compiled 196 to 126 computations (35.7% saved)

regimes81.0ms (1.6%)

Counts

44 → 1

Calls

Call 1

Inputs
(neg.f64 m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 m v))
(*.f64 m (/.f64 1 (/.f64 v m)))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
(.f64 m (.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (.f64 (-.f64 1 m) (.f64 m m)) v)
(+.f64 0 (.f64 (/.f64 1 v) (.f64 m m)))
(/.f64 (.f64 (.f64 m (-.f64 1 m)) m) v)
(.f64 (-.f64 1 m) (.f64 m (/.f64 m v)))
(.f64 m (.f64 m (/.f64 (-.f64 1 m) v)))
(.f64 m (/.f64 (.f64 m (-.f64 1 m)) v))
(.f64 m (/.f64 1 (/.f64 v (.f64 m (neg.f64 m)))))
(/.f64 (/.f64 m v) (/.f64 (/.f64 1 m) (-.f64 1 m)))
(*.f64 (-.f64 (/.f64 (/.f64 1 v) (/.f64 1 m)) 1) m)
(+.f64 0 (.f64 (/.f64 (-.f64 1 m) v) (.f64 m m)))
(.f64 m (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))))
(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (neg.f64 m))) 1) m)
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 m) v) (/.f64 1 m)) 1) m)
(*.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 v m) (-.f64 1 m))) 1) m)
(.f64 (-.f64 (.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m))) 1) m)
(/.f64 (pow.f64 m 3) (neg.f64 v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m)
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 m v)) 2) 1) m)
(pow.f64 (cbrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 3)
(-.f64 (.f64 (.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m)) m)
(.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 m v) (-.f64 1 m)))) 1) m)
(.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
(.f64 (-.f64 (.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v))) 1) m)
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 3) -1) m) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 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)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) m) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))

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

Calls

3 calls:

24.0ms	m
23.0ms	v
21.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

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 492 to 276 computations (43.9% saved)

regimes37.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	m
11.0ms	v

Results

Error	Segments	Branch
0.2b	2	`m`
7.9b	1	`v`

Compiler

Compiled 177 to 87 computations (50.8% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	3.3384560737346664e-22	7.465197949188563e-21

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.5%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	m
7.0ms	v

Results

Error	Segments	Branch
2.1b	2	`m`
7.9b	1	`v`

Compiler

Compiled 69 to 28 computations (59.4% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	6.282490693267588e-7	2.1035662616266904

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	m
6.0ms	v

Results

Error	Segments	Branch
7.9b	1	`m`
7.9b	1	`v`

Compiler

Compiled 53 to 23 computations (56.6% saved)

regimes13.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	m
5.0ms	v

Results

Error	Segments	Branch
7.9b	1	`m`
7.9b	1	`v`

Compiler

Compiled 39 to 19 computations (51.3% saved)

regimes24.0ms (0.5%)

Accuracy

Total -43.6b remaining (-238.8%)

Threshold costs -43.6b (-238.8%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	m
10.0ms	v

Results

Error	Segments	Branch
24.5b	2	`m`
18.3b	2	`v`

Compiler

Compiled 32 to 16 computations (50% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	9.875192348832731e-145	1.865814699061162e-144

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	112
1	50	112
2	63	112
3	68	112
4	69	112

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
(if (<=.f64 m 443756927590631/1329227995784915872903807060280344576) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (.f64 (-.f64 1 m) (.f64 m m)) v))
(if (<=.f64 m 1483411173941367/2361183241434822606848) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (neg.f64 (/.f64 m (/.f64 v m)))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(if (<=.f64 v 6941818606551719/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (/.f64 m (/.f64 v m)) (neg.f64 m))
(neg.f64 m)

Outputs
(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
(.f64 m (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
(if (<=.f64 m 443756927590631/1329227995784915872903807060280344576) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (.f64 (-.f64 1 m) (.f64 m m)) v))
(if (<=.f64 m 1483411173941367/2361183241434822606848) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (neg.f64 (/.f64 m (/.f64 v m)))))
(if (<=.f64 m 1483411173941367/2361183241434822606848) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (neg.f64 m) (/.f64 v 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 6941818606551719/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (/.f64 m (/.f64 v m)) (neg.f64 m))
(neg.f64 m)

Compiler

Compiled 91 to 55 computations (39.6% saved)

soundness0.0ms (0%)

end46.0ms (0.9%)

Compiler: Compiled 79 to 32 computations (59.5% saved)