Details

analyze77.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.5%	87.5%	0%	0%	0%	0
0%	0%	12.5%	87.5%	0%	0%	0%	1
0%	0%	12.5%	87.5%	0%	0%	0%	2
25%	3.1%	9.3%	87.5%	0%	0%	0%	3
33.3%	3.1%	6.2%	87.5%	3.1%	0%	0%	4
50%	4.7%	4.7%	87.5%	3.1%	0%	0%	5
57.1%	4.7%	3.5%	87.5%	4.3%	0%	0%	6
69%	5.6%	2.5%	87.5%	4.3%	0%	0%	7
77.2%	5.9%	1.8%	87.5%	4.8%	0%	0%	8
83.5%	6.4%	1.3%	87.5%	4.8%	0%	0%	9
87.9%	6.6%	0.9%	87.5%	5%	0%	0%	10
91.4%	6.8%	0.6%	87.5%	5%	0%	0%	11
93.9%	6.9%	0.5%	87.5%	5.1%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (21.4%)

Results

1.5s	8256×	body	256	valid
23.0ms	135×	body	256	infinite

Bogosity

preprocess29.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

12×	`rational.json-simplify-2`
8×	`rational.json-simplify-16`
8×	`rational.json-simplify-1`
4×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	22	74
2	30	74
3	34	74
4	36	74
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-2`
4×	`rational.json-simplify-16`
4×	`rational.json-simplify-1`
2×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	14	37
2	18	37
3	20	37
4	21	37

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 28 to 20 computations (28.6% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

series10.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite194.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`rational.json-simplify-2`
914×	`rational.json-simplify-79`
576×	`rational.json-simplify-47`
572×	`rational.json-simplify-54`
492×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	86	69
2	279	69
3	1018	69
4	4066	69

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

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

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

Outputs

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

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

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

simplify180.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-47`
1060×	`rational.json-simplify-2`
792×	`rational.json-simplify-54`
780×	`rational.json-simplify-1`
608×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	2231
1	194	2165
2	415	2165
3	1630	2121
4	5803	2121

Stop Event

1×	node limit

Counts

83 → 74

Calls

Call 1

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

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

eval28.0ms (0.4%)

Compiler: Compiled 1413 to 998 computations (29.4% saved)

prune18.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	9	75

Error

0.0b

Counts

75 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	54.5b	(/.f64 (pow.f64 m 3) v)
	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
▶	8.5b	(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
▶	40.3b	(+.f64 -1 m)
	0.1b	(*.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 2))) v) 1) (-.f64 1 m))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	8.9b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
▶	0.1b	(*.f64 (-.f64 (+.f64 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 2) v))) 1) (-.f64 1 m))
	40.6b	-1

Compiler

Compiled 176 to 132 computations (25% saved)

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 2) v)))
✓	0.1b	(*.f64 (-.f64 (+.f64 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 2) v))) 1) (-.f64 1 m))
✓	12.3b	(/.f64 (pow.f64 m 2) v)

Compiler

Compiled 64 to 38 computations (40.6% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(*.f64 (-.f64 (+.f64 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 2) v))) 1) (-.f64 1 m))
1.0ms	m	@	0	(/.f64 (pow.f64 m 2) v)
0.0ms	v	@	0	(/.f64 (pow.f64 m 2) v)
0.0ms	v	@	-inf	(*.f64 (-.f64 (+.f64 (/.f64 m v) (neg.f64 (/.f64 (pow.f64 m 2) v))) 1) (-.f64 1 m))
0.0ms	m	@	inf	(/.f64 (pow.f64 m 2) v)

rewrite151.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`rational.json-simplify-47`
818×	`rational.json-simplify-54`
676×	`rational.json-simplify-50`
670×	`rational.json-simplify-1`
644×	`rational.json-5`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	89
1	127	89
2	386	85
3	1381	85
4	5536	81

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

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

Outputs

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

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

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

simplify231.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational.json-simplify-49`
1050×	`rational.json-simplify-2`
944×	`rational.json-simplify-44`
934×	`rational.json-simplify-54`
788×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	3566
1	400	3314
2	1141	3314
3	3401	3294
4	7315	3294

Stop Event

1×	node limit

Counts

124 → 117

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`rational.json-5`
1838×	`exponential.json-3`
1838×	`rational.json-1`
1838×	`rational.json-2`
1838×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	77	25
2	253	25
3	914	25
4	3565	25

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify223.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1442×	`rational.json-simplify-47`
902×	`rational.json-simplify-76`
880×	`rational.json-simplify-111`
792×	`rational.json-simplify-104`
740×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	972
1	58	930
2	121	930
3	332	886
4	1283	862
5	2939	862
6	5434	862
7	7161	862

Stop Event

1×	node limit

Counts

30 → 32

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) -1)
(+.f64 -1 (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v))) -1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (+.f64 (neg.f64 (/.f64 (pow.f64 m 2) v)) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (-.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v))) -1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (+.f64 (neg.f64 (/.f64 (pow.f64 m 2) v)) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (-.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (pow.f64 m 2) v))
(+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v))) -1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (+.f64 (neg.f64 (/.f64 (pow.f64 m 2) v)) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (-.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v))) -1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (+.f64 (neg.f64 (/.f64 (pow.f64 m 2) v)) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (-.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (pow.f64 m 2) v))
(+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v))) -1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (+.f64 (neg.f64 (/.f64 (pow.f64 m 2) v)) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (-.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 m 2) v)) (.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 v)) m) (.f64 -1 (/.f64 (pow.f64 m 2) v))) -1)
(+.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (neg.f64 (/.f64 (pow.f64 m 2) v))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (+.f64 (neg.f64 (/.f64 (pow.f64 m 2) v)) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (-.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (.f64 -1 (-.f64 1 m)) (/.f64 (.f64 m (-.f64 1 m)) v))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (.f64 -1 (-.f64 1 m)) (/.f64 (.f64 m (-.f64 1 m)) v))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (.f64 -1 (-.f64 1 m)) (/.f64 (.f64 m (-.f64 1 m)) v))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (neg.f64 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 -1 m))
(+.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 -1 (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(+.f64 (*.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))) 0)
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 0 (*.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))) 0)
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(/.f64 (*.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))) 1)
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(/.f64 (.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))) (/.f64 (.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))) (*.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v)))))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(pow.f64 (*.f64 (+.f64 m -1) (-.f64 1 (/.f64 m v))) 1)
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`rational.json-5`
1628×	`exponential.json-3`
1628×	`rational.json-1`
1628×	`rational.json-2`
1628×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	70	19
2	225	19
3	803	19
4	3154	19

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify239.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-111`
758×	`rational.json-simplify-2`
748×	`rational.json-simplify-104`
614×	`rational.json-simplify-1`
596×	`rational.json-simplify-79`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	297
1	52	297
2	118	297
3	360	297
4	1436	297
5	3780	297
6	5847	297
7	7702	297

Stop Event

1×	node limit

Counts

21 → 14

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.2b	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (pow.f64 m 3) v)
1.0ms	m	@	0	(/.f64 (pow.f64 m 3) v)
0.0ms	m	@	inf	(/.f64 (pow.f64 m 3) v)
0.0ms	v	@	inf	(/.f64 (pow.f64 m 3) v)
0.0ms	v	@	-inf	(/.f64 (pow.f64 m 3) v)

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational.json-5`
1290×	`exponential.json-3`
1290×	`rational.json-1`
1290×	`rational.json-2`
1290×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	57	13
2	187	13
3	663	13
4	2516	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-111`
1030×	`rational.json-simplify-47`
796×	`rational.json-simplify-2`
702×	`rational.json-simplify-55`
620×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	221
1	76	221
2	173	221
3	946	221
4	4645	221

Stop Event

1×	node limit

Counts

17 → 18

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (pow.f64 m 3) v) 0)
(/.f64 (pow.f64 m 3) v)
(+.f64 0 (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) 0)
(/.f64 (pow.f64 m 3) v)
(-.f64 0 (neg.f64 (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(*.f64 (/.f64 (pow.f64 m 3) v) 1)
(/.f64 (pow.f64 m 3) v)
(*.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(*.f64 1 (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(*.f64 (/.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(.f64 (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (/.f64 1 (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(.f64 (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (/.f64 (/.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(.f64 (/.f64 1 (/.f64 (pow.f64 m 3) v)) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(.f64 (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)))) (/.f64 (/.f64 1 (/.f64 (pow.f64 m 3) v)) (*.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v))))
(/.f64 (pow.f64 m 3) v)
(.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 m 3) v)) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v))) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)))))
(/.f64 (pow.f64 m 3) v)
(.f64 (.f64 (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)))) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 m 3) v)) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v))) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v))))))
(/.f64 (pow.f64 m 3) v)
(pow.f64 (/.f64 (pow.f64 m 3) v) 1)
(/.f64 (pow.f64 m 3) v)
(neg.f64 (neg.f64 (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)

eval76.0ms (1%)

Compiler: Compiled 3776 to 2506 computations (33.6% saved)

prune36.0ms (0.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	1	2	3
Picked	0	1	1
Done	1	4	5
Total	177	13	190

Error

0.0b

Counts

190 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	54.5b	(/.f64 (pow.f64 m 3) v)
	24.9b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
▶	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
▶	33.7b	(/.f64 (*.f64 m (-.f64 1 m)) v)
▶	8.4b	(-.f64 (/.f64 m v) 1)
▶	8.4b	(-.f64 (+.f64 (/.f64 m v) m) 1)
✓	8.5b	(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
✓	40.3b	(+.f64 -1 m)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	8.9b	(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
▶	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
	24.6b	(.f64 (-.f64 (+.f64 (/.f64 m v) (neg.f64 (.f64 (/.f64 (pow.f64 m 2) v) (*.f64 (/.f64 (pow.f64 m 2) v) (neg.f64 (/.f64 -1 (/.f64 (pow.f64 m 2) v))))))) 1) (-.f64 1 m))
	40.6b	-1

Compiler

Compiled 250 to 180 computations (28% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
	12.3b	(/.f64 (pow.f64 m 2) v)

Compiler

Compiled 55 to 31 computations (43.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite134.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`rational.json-simplify-54`
736×	`rational.json-simplify-47`
602×	`rational.json-simplify-58`
600×	`rational.json-5`
598×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	112	68
2	366	68
3	1309	68
4	5009	68

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify204.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational.json-simplify-50`
1248×	`rational.json-simplify-54`
1158×	`rational.json-simplify-43`
1094×	`rational.json-simplify-58`
678×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	2636
1	193	2530
2	488	2530
3	2436	2478
4	6408	2478

Stop Event

1×	node limit

Counts

80 → 74

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`rational.json-5`
1308×	`exponential.json-3`
1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	51	13
2	179	13
3	660	13
4	2548	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify231.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational.json-simplify-2`
908×	`rational.json-simplify-54`
898×	`rational.json-simplify-43`
782×	`rational.json-simplify-1`
722×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	628
1	129	536
2	366	536
3	1970	536
4	5354	536
5	7626	536

Stop Event

1×	node limit

Counts

38 → 27

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
0.0ms	v	@	inf	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
0.0ms	v	@	-inf	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
0.0ms	m	@	0	(*.f64 m (pow.f64 (-.f64 1 m) 2))
0.0ms	m	@	-inf	(*.f64 m (pow.f64 (-.f64 1 m) 2))

rewrite98.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-5`
1810×	`exponential.json-3`
1810×	`rational.json-1`
1810×	`rational.json-2`
1810×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	82	57
2	247	57
3	885	57
4	3478	57

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) (*.f64 m (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 m) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 1 m) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 m) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2) (/.f64 1 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) (*.f64 (-.f64 1 m) (-.f64 1 m))) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 m) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))))))

simplify176.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

894×	`rational.json-simplify-50`
842×	`rational.json-simplify-41`
750×	`rational.json-simplify-79`
646×	`rational.json-simplify-80`
620×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1476
1	153	1476
2	313	1476
3	958	1476
4	2862	1476
5	5349	1476

Stop Event

1×	node limit

Counts

66 → 57

Calls

Call 1

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

Outputs
m
(+.f64 (*.f64 -2 (pow.f64 m 2)) m)
(+.f64 m (*.f64 -2 (pow.f64 m 2)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3)))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3)))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3)))
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -2 (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v)))
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (*.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (pow.f64 m 2) (*.f64 m -2)))
(+.f64 (pow.f64 m 2) (+.f64 1 (*.f64 m -2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (pow.f64 m 2) (*.f64 m -2)))
(+.f64 (pow.f64 m 2) (+.f64 1 (*.f64 m -2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (pow.f64 m 2) (*.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (pow.f64 m 2) (*.f64 m -2)))
(+.f64 (pow.f64 m 2) (+.f64 1 (*.f64 m -2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (pow.f64 m 2) (*.f64 m -2)))
(+.f64 (pow.f64 m 2) (+.f64 1 (*.f64 m -2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (pow.f64 m 2) (*.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (pow.f64 m 2) (*.f64 m -2)))
(+.f64 (pow.f64 m 2) (+.f64 1 (*.f64 m -2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (pow.f64 m 2) (*.f64 m -2)))
(+.f64 (pow.f64 m 2) (+.f64 1 (*.f64 m -2)))
(+.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(+.f64 0 (*.f64 m (pow.f64 (-.f64 1 m) 2)))
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(-.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (*.f64 m (pow.f64 (-.f64 1 m) 2))))
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(pow.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 0)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 0 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 0)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 1 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)) (/.f64 1 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)) (.f64 (/.f64 1 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)) 1))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 (/.f64 1 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)) (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(.f64 (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)))) (/.f64 (/.f64 1 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v)) (.f64 (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) v))))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(pow.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (pow.f64 (-.f64 1 m) 2) 0)
(pow.f64 (-.f64 1 m) 2)
(+.f64 0 (pow.f64 (-.f64 1 m) 2))
(pow.f64 (-.f64 1 m) 2)
(-.f64 (pow.f64 (-.f64 1 m) 2) 0)
(pow.f64 (-.f64 1 m) 2)
(*.f64 1 (pow.f64 (-.f64 1 m) 2))
(pow.f64 (-.f64 1 m) 2)
(*.f64 (pow.f64 (-.f64 1 m) 2) 1)
(pow.f64 (-.f64 1 m) 2)
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (-.f64 1 m) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2) (/.f64 1 (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (-.f64 1 m) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) 1))
(pow.f64 (-.f64 1 m) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2))
(pow.f64 (-.f64 1 m) 2)
(.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2))
(pow.f64 (-.f64 1 m) 2)
(.f64 (pow.f64 (.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) (.f64 (-.f64 1 m) (-.f64 1 m))) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)))
(pow.f64 (-.f64 1 m) 2)
(/.f64 (pow.f64 (-.f64 1 m) 2) 1)
(pow.f64 (-.f64 1 m) 2)
(/.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (-.f64 1 m) 2)

eval89.0ms (1.2%)

Compiler: Compiled 4775 to 2952 computations (38.2% saved)

prune47.0ms (0.6%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	232	4	236
Fresh	1	2	3
Picked	0	1	1
Done	2	7	9
Total	235	14	249

Error

0.0b

Counts

249 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	54.5b	(/.f64 (pow.f64 m 3) v)
▶	24.9b	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
▶	24.9b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
✓	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
✓	33.7b	(/.f64 (*.f64 m (-.f64 1 m)) v)
▶	33.3b	(/.f64 (.f64 m (+.f64 1 (.f64 m -2))) v)
▶	25.3b	(/.f64 (.f64 m (.f64 (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2))) v)
▶	33.2b	(/.f64 m v)
✓	8.4b	(-.f64 (/.f64 m v) 1)
✓	8.4b	(-.f64 (+.f64 (/.f64 m v) m) 1)
✓	8.5b	(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
	40.6b	-1

Compiler

Compiled 223 to 163 computations (26.9% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
✓	0.0b	(*.f64 -2 (pow.f64 m 2))
✓	0.0b	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)

Compiler

Compiled 47 to 33 computations (29.8% saved)

series4.0ms (0%)

Counts

3 → 26

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
0.0ms	v	@	inf	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
0.0ms	m	@	-inf	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
0.0ms	v	@	-inf	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
0.0ms	m	@	0	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)

rewrite130.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational.json-simplify-2`
638×	`rational.json-simplify-47`
596×	`rational.json-simplify-58`
586×	`rational.json-simplify-1`
578×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	108	81
2	325	81
3	1163	81
4	4594	81

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify212.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1076×	`rational.json-simplify-49`
1000×	`rational.json-simplify-1`
884×	`rational.json-simplify-54`
866×	`rational.json-simplify-2`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	2581
1	332	2575
2	878	2575
3	3161	2575
4	7186	2575

Stop Event

1×	node limit

Counts

85 → 78

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite102.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`rational.json-5`
1892×	`exponential.json-3`
1892×	`rational.json-1`
1892×	`rational.json-2`
1892×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	86	44
2	263	44
3	944	44
4	3764	44

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (+.f64 1 (*.f64 m -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (+.f64 1 (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (+.f64 1 (*.f64 m -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (*.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (*.f64 m -2))) (/.f64 (*.f64 m (+.f64 1 (*.f64 m -2))) (*.f64 m (+.f64 1 (*.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (+.f64 1 (*.f64 m -2))) 1)))))

simplify260.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational.json-simplify-2`
1266×	`rational.json-simplify-54`
676×	`rational.json-simplify-41`
608×	`rational.json-simplify-58`
598×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1211
1	89	1211
2	187	1211
3	676	1211
4	2469	1211
5	5249	1211
6	7539	1211

Stop Event

1×	node limit

Counts

53 → 28

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2010×	`rational.json-5`
2008×	`rational.json-1`
2008×	`rational.json-2`
2008×	`rational.json-4`
2008×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	90	69
2	275	69
3	990	69
4	3866	69

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) (/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) 1)))))

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

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

simplify192.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1612×	`rational.json-simplify-47`
1204×	`rational.json-simplify-2`
1020×	`rational.json-simplify-49`
860×	`rational.json-simplify-50`
832×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1599
1	151	1577
2	373	1577
3	1637	1577
4	6379	1577

Stop Event

1×	node limit

Counts

69 → 57

Calls

Call 1

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

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

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 m (.f64 (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2)))
✓	0.1b	(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
✓	0.1b	(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
✓	0.3b	(.f64 (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2))

Compiler

Compiled 94 to 73 computations (22.3% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite168.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-simplify-47`
944×	`rational.json-simplify-58`
734×	`rational.json-simplify-55`
610×	`rational.json-simplify-43`
562×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	136
1	106	76
2	349	76
3	1217	76
4	5536	76

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 m) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 1 m) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 (-.f64 1 m) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 m) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 m) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 m) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (-.f64 1 m) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (fabs.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (fabs.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (pow.f64 (/.f64 (+.f64 m -1) (+.f64 m -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (.f64 (-.f64 1 m) (.f64 (+.f64 m -1) (+.f64 m -1))) 2))))) (#(struct:change 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(fabs.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (fabs.f64 (pow.f64 (.f64 (-.f64 1 m) (.f64 (+.f64 m -1) (+.f64 m -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (-.f64 1 m) 2)) (fabs.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (.f64 (/.f64 1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (fabs.f64 (/.f64 1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (pow.f64 (/.f64 1 (.f64 (+.f64 m -1) (+.f64 m -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 (fabs.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2)) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 m (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 m (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 m (pow.f64 (-.f64 1 m) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (.f64 m (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2))))))))

simplify167.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational.json-simplify-50`
1288×	`rational.json-simplify-43`
1270×	`rational.json-simplify-47`
928×	`rational.json-simplify-55`
584×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	4334
1	582	4286
2	1193	4268
3	4155	4172

Stop Event

1×	node limit

Counts

158 → 176

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
1
(+.f64 1 (*.f64 -4 m))
(+.f64 1 (+.f64 (.f64 -4 m) (.f64 6 (pow.f64 m 2))))
(+.f64 1 (+.f64 (.f64 -4 m) (+.f64 (.f64 -4 (pow.f64 m 3)) (*.f64 6 (pow.f64 m 2)))))
(pow.f64 m 4)
(+.f64 (pow.f64 m 4) (*.f64 -4 (pow.f64 m 3)))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 (pow.f64 m 3)) (.f64 6 (pow.f64 m 2))))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 m) (+.f64 (.f64 -4 (pow.f64 m 3)) (*.f64 6 (pow.f64 m 2)))))
(pow.f64 m 4)
(+.f64 (pow.f64 m 4) (*.f64 -4 (pow.f64 m 3)))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 (pow.f64 m 3)) (.f64 6 (pow.f64 m 2))))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 m) (+.f64 (.f64 -4 (pow.f64 m 3)) (*.f64 6 (pow.f64 m 2)))))
1
(+.f64 1 (*.f64 2 m))
(+.f64 (.f64 3 (pow.f64 m 2)) (+.f64 1 (.f64 2 m)))
(+.f64 (.f64 4 (pow.f64 m 3)) (+.f64 (.f64 3 (pow.f64 m 2)) (+.f64 1 (*.f64 2 m))))
(/.f64 1 (pow.f64 m 2))
(+.f64 (/.f64 1 (pow.f64 m 2)) (*.f64 2 (/.f64 1 (pow.f64 m 3))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (.f64 3 (/.f64 1 (pow.f64 m 4)))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 m 5))) (*.f64 3 (/.f64 1 (pow.f64 m 4))))))
(/.f64 1 (pow.f64 m 2))
(+.f64 (/.f64 1 (pow.f64 m 2)) (*.f64 2 (/.f64 1 (pow.f64 m 3))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (.f64 3 (/.f64 1 (pow.f64 m 4)))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 m 5))) (*.f64 3 (/.f64 1 (pow.f64 m 4))))))
m
(+.f64 (*.f64 -2 (pow.f64 m 2)) m)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
(pow.f64 m 3)
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(+.f64 0 (*.f64 m (pow.f64 (-.f64 1 m) 2)))
(-.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)
(-.f64 0 (neg.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 m (pow.f64 (-.f64 1 m) 2)))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)
(/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (*.f64 m (pow.f64 (-.f64 1 m) 2))))
(pow.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)
(neg.f64 (neg.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2))))

Outputs
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
1
(+.f64 1 (*.f64 -4 m))
(+.f64 1 (*.f64 m -4))
(+.f64 1 (+.f64 (.f64 -4 m) (.f64 6 (pow.f64 m 2))))
(+.f64 1 (+.f64 (.f64 m -4) (.f64 (pow.f64 m 2) 6)))
(+.f64 (.f64 m -4) (+.f64 1 (.f64 (pow.f64 m 2) 6)))
(+.f64 1 (+.f64 (.f64 -4 m) (+.f64 (.f64 -4 (pow.f64 m 3)) (*.f64 6 (pow.f64 m 2)))))
(+.f64 1 (+.f64 (.f64 m -4) (+.f64 (.f64 (pow.f64 m 2) 6) (*.f64 -4 (pow.f64 m 3)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 m 2) 6) (.f64 -4 (+.f64 m (pow.f64 m 3)))))
(+.f64 (+.f64 1 (.f64 (pow.f64 m 2) 6)) (.f64 -4 (+.f64 m (pow.f64 m 3))))
(pow.f64 m 4)
(+.f64 (pow.f64 m 4) (*.f64 -4 (pow.f64 m 3)))
(+.f64 (*.f64 -4 (pow.f64 m 3)) (pow.f64 m 4))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 (pow.f64 m 3)) (.f64 6 (pow.f64 m 2))))
(+.f64 (.f64 -4 (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 m 2) 6) (pow.f64 m 4)))
(+.f64 (.f64 (pow.f64 m 2) 6) (+.f64 (.f64 -4 (pow.f64 m 3)) (pow.f64 m 4)))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 m) (+.f64 (.f64 -4 (pow.f64 m 3)) (*.f64 6 (pow.f64 m 2)))))
(+.f64 (.f64 m -4) (+.f64 (.f64 -4 (pow.f64 m 3)) (+.f64 (*.f64 (pow.f64 m 2) 6) (pow.f64 m 4))))
(+.f64 (+.f64 (.f64 (pow.f64 m 2) 6) (pow.f64 m 4)) (.f64 -4 (+.f64 m (pow.f64 m 3))))
(+.f64 (.f64 (pow.f64 m 2) 6) (+.f64 (pow.f64 m 4) (.f64 -4 (+.f64 m (pow.f64 m 3)))))
(pow.f64 m 4)
(+.f64 (pow.f64 m 4) (*.f64 -4 (pow.f64 m 3)))
(+.f64 (*.f64 -4 (pow.f64 m 3)) (pow.f64 m 4))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 (pow.f64 m 3)) (.f64 6 (pow.f64 m 2))))
(+.f64 (.f64 -4 (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 m 2) 6) (pow.f64 m 4)))
(+.f64 (.f64 (pow.f64 m 2) 6) (+.f64 (.f64 -4 (pow.f64 m 3)) (pow.f64 m 4)))
(+.f64 (pow.f64 m 4) (+.f64 (.f64 -4 m) (+.f64 (.f64 -4 (pow.f64 m 3)) (*.f64 6 (pow.f64 m 2)))))
(+.f64 (.f64 m -4) (+.f64 (.f64 -4 (pow.f64 m 3)) (+.f64 (*.f64 (pow.f64 m 2) 6) (pow.f64 m 4))))
(+.f64 (+.f64 (.f64 (pow.f64 m 2) 6) (pow.f64 m 4)) (.f64 -4 (+.f64 m (pow.f64 m 3))))
(+.f64 (.f64 (pow.f64 m 2) 6) (+.f64 (pow.f64 m 4) (.f64 -4 (+.f64 m (pow.f64 m 3)))))
1
(+.f64 1 (*.f64 2 m))
(+.f64 1 (*.f64 m 2))
(+.f64 (.f64 3 (pow.f64 m 2)) (+.f64 1 (.f64 2 m)))
(+.f64 (+.f64 1 (.f64 m 2)) (.f64 (pow.f64 m 2) 3))
(+.f64 (.f64 m 2) (+.f64 (.f64 (pow.f64 m 2) 3) 1))
(+.f64 (.f64 4 (pow.f64 m 3)) (+.f64 (.f64 3 (pow.f64 m 2)) (+.f64 1 (*.f64 2 m))))
(+.f64 (.f64 (pow.f64 m 2) 3) (+.f64 (+.f64 1 (.f64 m 2)) (*.f64 (pow.f64 m 3) 4)))
(+.f64 (+.f64 1 (.f64 m 2)) (+.f64 (.f64 (pow.f64 m 3) 4) (*.f64 (pow.f64 m 2) 3)))
(+.f64 (+.f64 1 (.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) 3) (*.f64 (pow.f64 m 3) 4)))
(+.f64 1 (+.f64 (.f64 m 2) (+.f64 (.f64 (pow.f64 m 2) 3) (*.f64 (pow.f64 m 3) 4))))
(/.f64 1 (pow.f64 m 2))
(+.f64 (/.f64 1 (pow.f64 m 2)) (*.f64 2 (/.f64 1 (pow.f64 m 3))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (.f64 3 (/.f64 1 (pow.f64 m 4)))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 m 5))) (*.f64 3 (/.f64 1 (pow.f64 m 4))))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 m 4))) (*.f64 4 (/.f64 1 (pow.f64 m 5))))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (.f64 3 (/.f64 1 (pow.f64 m 4)))) (*.f64 4 (/.f64 1 (pow.f64 m 5)))))
(/.f64 1 (pow.f64 m 2))
(+.f64 (/.f64 1 (pow.f64 m 2)) (*.f64 2 (/.f64 1 (pow.f64 m 3))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (.f64 3 (/.f64 1 (pow.f64 m 4)))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 m 5))) (*.f64 3 (/.f64 1 (pow.f64 m 4))))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 m 4))) (*.f64 4 (/.f64 1 (pow.f64 m 5))))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 m 3))) (.f64 3 (/.f64 1 (pow.f64 m 4)))) (*.f64 4 (/.f64 1 (pow.f64 m 5)))))
m
(+.f64 (*.f64 -2 (pow.f64 m 2)) m)
(+.f64 m (*.f64 -2 (pow.f64 m 2)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
(+.f64 m (+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2))))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m))
(+.f64 m (+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2))))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2))))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2))))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2)))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2))))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 m (pow.f64 m 3)))
(+.f64 m (+.f64 (pow.f64 m 3) (*.f64 -2 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 1 m) 2) 0)
(pow.f64 (-.f64 1 m) 2)
(+.f64 0 (pow.f64 (-.f64 1 m) 2))
(pow.f64 (-.f64 1 m) 2)
(-.f64 (pow.f64 (-.f64 1 m) 2) 0)
(pow.f64 (-.f64 1 m) 2)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (-.f64 1 m) 2)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (-.f64 1 m) 2))) 1)
(pow.f64 (-.f64 1 m) 2)
(/.f64 (pow.f64 (-.f64 1 m) 2) 1)
(pow.f64 (-.f64 1 m) 2)
(/.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (-.f64 1 m) 2)
(pow.f64 (-.f64 1 m) 2)
(pow.f64 (pow.f64 (-.f64 1 m) 2) 1)
(pow.f64 (-.f64 1 m) 2)
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (-.f64 1 m) 2)
(+.f64 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2) 0)
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(+.f64 0 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(-.f64 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2) 0)
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(-.f64 0 (neg.f64 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2))) 1)
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) 1)
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (pow.f64 (*.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (fabs.f64 (pow.f64 (*.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (fabs.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2))))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (pow.f64 (/.f64 (+.f64 m -1) (+.f64 m -1)) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (-.f64 1 m) 2)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (-.f64 1 m) (.f64 (+.f64 m -1) (+.f64 m -1))) 2))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (-.f64 1 m) (.f64 (-.f64 1 m) (-.f64 1 m))) 2))
(.f64 (pow.f64 (.f64 (-.f64 1 m) (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m)))) 2) (/.f64 (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (-.f64 1 m) 2)))
(.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) (-.f64 1 m))) 2) (+.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 0 (pow.f64 (-.f64 1 m) 2))))
(.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (.f64 (-.f64 1 m) (*.f64 (+.f64 m -1) (+.f64 m -1))) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (.f64 (pow.f64 (.f64 (-.f64 1 m) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) 1))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(*.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(*.f64 (pow.f64 (-.f64 1 m) 2) (-.f64 -1 (-.f64 -1 (pow.f64 (-.f64 1 m) 2))))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(*.f64 (neg.f64 (pow.f64 (-.f64 1 m) 2)) (neg.f64 (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (fabs.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (.f64 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2) (fabs.f64 (pow.f64 (-.f64 1 m) 2))))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (fabs.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (fabs.f64 (pow.f64 (.f64 (-.f64 1 m) (*.f64 (+.f64 m -1) (+.f64 m -1))) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(*.f64 (fabs.f64 (pow.f64 (-.f64 1 m) 2)) (fabs.f64 (pow.f64 (-.f64 1 m) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 1 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (.f64 (/.f64 1 (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)) 1))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)) (pow.f64 (-.f64 1 m) 2)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (-.f64 1 m) (.f64 (+.f64 m -1) (+.f64 m -1))) 2))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (.f64 (-.f64 1 m) (.f64 (-.f64 1 m) (-.f64 1 m))) 2))
(.f64 (pow.f64 (.f64 (-.f64 1 m) (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m)))) 2) (/.f64 (pow.f64 (.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (-.f64 1 m) 2)))
(.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) (-.f64 1 m))) 2) (+.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 0 (pow.f64 (-.f64 1 m) 2))))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 (-.f64 1 m) 2)) (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (fabs.f64 (/.f64 1 (pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2))))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (pow.f64 (/.f64 1 (*.f64 (+.f64 m -1) (+.f64 m -1))) 2))
(pow.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) 2)
(pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) (.f64 (+.f64 m -1) (+.f64 m -1))) 2) (/.f64 (fabs.f64 (pow.f64 (.f64 (-.f64 1 m) (/.f64 1 (-.f64 1 m))) 2)) (pow.f64 (.f64 (+.f64 m -1) (+.f64 m -1)) 2)))
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(.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2) (/.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (pow.f64 (/.f64 1 (-.f64 1 m)) 2)))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(.f64 (/.f64 1 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))))) 2) (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (pow.f64 (*.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2)))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))))) 2) (/.f64 (.f64 (/.f64 1 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) 1) (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2)))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))))) 2) (/.f64 (pow.f64 (/.f64 1 (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (*.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2)))
(.f64 (pow.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m)))) 2) (/.f64 (pow.f64 (/.f64 1 (/.f64 1 (-.f64 1 m))) 2) (pow.f64 (*.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2)))
(.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m)))) 2) (/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2)))
(.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))))) 2) (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)) (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))) 2)) (pow.f64 (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (.f64 (/.f64 1 (-.f64 1 m)) (/.f64 1 (-.f64 1 m))))) 2)))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) 1)
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (/.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2)))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(neg.f64 (neg.f64 (pow.f64 (/.f64 1 (-.f64 1 m)) 2)))
(pow.f64 (/.f64 1 (-.f64 1 m)) 2)
(+.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(+.f64 0 (*.f64 m (pow.f64 (-.f64 1 m) 2)))
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(-.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 0)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(-.f64 0 (neg.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2))))
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 m (pow.f64 (-.f64 1 m) 2)))) 1)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (/.f64 (.f64 m (pow.f64 (-.f64 1 m) 2)) (*.f64 m (pow.f64 (-.f64 1 m) 2))))
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(pow.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1)
(*.f64 m (pow.f64 (-.f64 1 m) 2))
(neg.f64 (neg.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2))))
(*.f64 m (pow.f64 (-.f64 1 m) 2))

eval210.0ms (2.8%)

Compiler: Compiled 9196 to 6949 computations (24.4% saved)

prune57.0ms (0.8%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	1	1
Picked	0	1	1
Done	0	12	12
Total	339	14	353

Error

0.0b

Counts

353 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	54.5b	(/.f64 (pow.f64 m 3) v)
✓	24.9b	(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
✓	24.9b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
✓	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
✓	33.7b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	33.3b	(/.f64 (.f64 m (+.f64 1 (.f64 m -2))) v)
✓	25.3b	(/.f64 (.f64 m (.f64 (pow.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) 2) (pow.f64 (/.f64 1 (-.f64 1 m)) 2))) v)
✓	33.2b	(/.f64 m v)
✓	8.4b	(-.f64 (/.f64 m v) 1)
✓	8.4b	(-.f64 (+.f64 (/.f64 m v) m) 1)
✓	8.5b	(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
	40.6b	-1

Compiler

Compiled 156 to 114 computations (26.9% saved)

regimes35.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	v
10.0ms	m
9.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

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

Compiler

Compiled 224 to 148 computations (33.9% saved)

regimes27.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	m
8.0ms	v
5.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

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

Compiler

Compiled 128 to 83 computations (35.2% saved)

regimes27.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	m
7.0ms	v
6.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Results

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

Compiler

Compiled 114 to 73 computations (36% saved)

regimes16.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	v
6.0ms	m

Results

Error	Segments	Branch
8.4b	1	`m`
8.4b	1	`v`

Compiler

Compiled 61 to 37 computations (39.3% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	v
4.0ms	m

Results

Error	Segments	Branch
8.4b	1	`m`
8.4b	1	`v`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes25.0ms (0.3%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	v
7.0ms	m

Results

Error	Segments	Branch
21.5b	2	`m`
19.7b	4	`v`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch32.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
10.0ms	4.654706479095413e-113	5.791275018624926e-113
12.0ms	2.2877986988431453e-144	4.357340105871215e-144
10.0ms	1.957962307518821e-154	4.605885171868677e-154

Results

27.0ms	192×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 146 to 114 computations (21.9% saved)

regimes13.0ms (0.2%)

Accuracy

Total -0.3b remaining (-0.7%)

Threshold costs -0.3b (-0.7%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(+.f64 -1 m)

Outputs
(+.f64 -1 m)

Calls

2 calls:

6.0ms	m
6.0ms	v

Results

Error	Segments	Branch
40.3b	1	`m`
40.3b	1	`v`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	210

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 2))) v) 1) (-.f64 1 m))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (/.f64 m v) 1)
(if (<=.f64 v 4453275661289419/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (/.f64 m v) (if (<=.f64 v 1361975855769913/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) -1 (if (<=.f64 v 4072358613239947/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (/.f64 m v) (+.f64 -1 m))))
(+.f64 -1 m)
-1

Outputs
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 (pow.f64 m 2))) v) 1) (-.f64 1 m))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (/.f64 m v) 1)
(if (<=.f64 v 4453275661289419/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (/.f64 m v) (if (<=.f64 v 1361975855769913/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) -1 (if (<=.f64 v 4072358613239947/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (/.f64 m v) (+.f64 -1 m))))
(+.f64 -1 m)
-1

Compiler

Compiled 96 to 68 computations (29.2% saved)

soundness712.0ms (9.6%)

Algorithm

2×	egg-herbie

Rules

1158×	`rational.json-simplify-47`
1120×	`rational.json-simplify-49`
1060×	`rational.json-simplify-2`
1050×	`rational.json-simplify-2`
944×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	2231
1	194	2165
2	415	2165
3	1630	2121
4	5803	2121
0	177	3566
1	400	3314
2	1141	3314
3	3401	3294
4	7315	3294

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 373 to 255 computations (31.6% saved)

end72.0ms (1%)

Compiler: Compiled 82 to 51 computations (37.8% saved)

Details

analyze77.0ms (1%)

sample1.6s (21.4%)

preprocess29.0ms (0.4%)

simplify28.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize26.0ms (0.4%)

series10.0ms (0.1%)

rewrite194.0ms (2.6%)

simplify180.0ms (2.4%)

eval28.0ms (0.4%)

prune18.0ms (0.2%)

localize26.0ms (0.4%)

series7.0ms (0.1%)

rewrite151.0ms (2%)

simplify231.0ms (3.1%)

localize3.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite92.0ms (1.2%)

simplify223.0ms (3%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite88.0ms (1.2%)

simplify239.0ms (3.2%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite84.0ms (1.1%)

simplify137.0ms (1.8%)

eval76.0ms (1%)

prune36.0ms (0.5%)

localize20.0ms (0.3%)

series2.0ms (0%)

rewrite134.0ms (1.8%)

simplify204.0ms (2.7%)

localize5.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite83.0ms (1.1%)

simplify231.0ms (3.1%)

localize10.0ms (0.1%)

localize12.0ms (0.2%)

series7.0ms (0.1%)

rewrite98.0ms (1.3%)

simplify176.0ms (2.4%)

eval89.0ms (1.2%)

prune47.0ms (0.6%)

localize20.0ms (0.3%)

series4.0ms (0%)

rewrite130.0ms (1.8%)

simplify212.0ms (2.9%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite102.0ms (1.4%)

simplify260.0ms (3.5%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite107.0ms (1.4%)

simplify192.0ms (2.6%)

localize34.0ms (0.5%)

series2.0ms (0%)

rewrite168.0ms (2.3%)

simplify167.0ms (2.3%)

eval210.0ms (2.8%)

prune57.0ms (0.8%)

regimes35.0ms (0.5%)

regimes27.0ms (0.4%)

regimes27.0ms (0.4%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes25.0ms (0.3%)

bsearch32.0ms (0.4%)

regimes13.0ms (0.2%)

simplify9.0ms (0.1%)

soundness712.0ms (9.6%)

end72.0ms (1%)

Profiling