Details

analyze1.5s (8.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	9
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	10
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	11
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample3.2s (18.6%)

Results

2.9s	8107×	body	256	valid
99.0ms	106×	body	512	infinite
78.0ms	357×	body	256	infinite
45.0ms	72×	body	1024	infinite
45.0ms	78×	body	1024	valid
27.0ms	71×	body	512	valid
18.0ms	24×	body	2048	infinite

Bogosity

preprocess87.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1624×	`rational_best_oopsla_all_46_json_45_simplify-10`
1138×	`rational_best_oopsla_all_46_json_45_simplify-23`
914×	`rational_best_oopsla_all_46_json_45_simplify-49`
792×	`rational_best_oopsla_all_46_json_45_simplify-89`
612×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	979
1	363	979
2	904	979
3	2829	935
4	5946	935
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4

Call 2

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) (-.f64 M (fabs.f64 (-.f64 m n))))))

Outputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n K)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 K m)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m K)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) M) 2) K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 l (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) M) 2) K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2) (neg.f64 l)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) M) 2) K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) l) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) l) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) K) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n l)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n l)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n l)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l n)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m l)) n) (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) (-.f64 M (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 M (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) M) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))

Symmetry

(sort m n)

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1618×	`rational_best_oopsla_all_46_json_45_simplify-72`
1452×	`rational_best_oopsla_all_46_json_45_simplify-89`
1134×	`rational_best_oopsla_all_46_json_45_simplify-74`
928×	`rational_best_oopsla_all_46_json_45_simplify-24`
806×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	48	89
2	112	89
3	349	85
4	1328	85
5	5223	85

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 l) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

eval2.0ms (0%)

Compiler: Compiled 119 to 65 computations (45.4% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

14.6b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize111.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
✓	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 140 to 55 computations (60.7% saved)

series17.0ms (0.1%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
1.0ms	n	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
1.0ms	K	@	inf	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
1.0ms	m	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
1.0ms	l	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`rational_best_oopsla_all_46_json_45_simplify-35`
676×	`rational_best_oopsla_all_46_json_45_simplify-10`
656×	`rational_best_oopsla_all_46_json_45_simplify-30`
620×	`rational_best_oopsla_all_46_json_45_simplify-23`
612×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	130
1	126	130
2	354	130
3	1379	130
4	6002	130

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

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

simplify294.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1476×	`rational_best_oopsla_all_46_json_45_simplify-89`
1206×	`rational_best_oopsla_all_46_json_45_simplify-24`
1176×	`rational_best_oopsla_all_46_json_45_simplify-74`
782×	`rational_best_oopsla_all_46_json_45_simplify-35`
704×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	13613
1	1629	13097
2	6113	13081

Stop Event

1×	node limit

Counts

297 → 280

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
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(*.f64 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))))
(.f64 (.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (neg.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) 1)
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))))
(neg.f64 (*.f64 -1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(+.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) (neg.f64 M))
(+.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (.f64 M -1))
(+.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (.f64 1 (neg.f64 M)))
(+.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M) 0)
(+.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (.f64 0 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(+.f64 0 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
(+.f64 (neg.f64 M) (/.f64 (*.f64 K (+.f64 m n)) 2))
(+.f64 (.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 M)))
(+.f64 (.f64 0 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))
(+.f64 (.f64 M -1) (/.f64 (.f64 K (+.f64 m n)) 2))
(+.f64 (.f64 1 (neg.f64 M)) (/.f64 (.f64 K (+.f64 m n)) 2))
(+.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (neg.f64 M)) (.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) 1)
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 1 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (.f64 (.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 1 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(.f64 1 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 1 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (-.f64 M (/.f64 (.f64 K (+.f64 m n)) 2)) -1)
(.f64 (-.f64 M (/.f64 (.f64 K (+.f64 m n)) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(.f64 -1 (-.f64 M (/.f64 (.f64 K (+.f64 m n)) 2)))
(.f64 (.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 1 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
(.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
(.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (-.f64 M (/.f64 (.f64 K (+.f64 m n)) 2)))
(/.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M) 1)
(/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
(/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M) (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 (-.f64 M (/.f64 (*.f64 K (+.f64 m n)) 2)) -1)
(neg.f64 (-.f64 M (/.f64 (*.f64 K (+.f64 m n)) 2)))
(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 0)
(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (*.f64 0 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(+.f64 0 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(+.f64 (*.f64 0 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(-.f64 0 (*.f64 -1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 1)
(*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) -1)
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (neg.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 1)
(/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(neg.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(neg.f64 (*.f64 -1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

Outputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (*.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
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(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (pow.f64 (-.f64 (.f64 -1/2 (-.f64 (*.f64 n -1) m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 -1/2 (-.f64 (neg.f64 n) m)) M) 2))))
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(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (*.f64 -1 n))) M) 2) l)))
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(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (pow.f64 (-.f64 (.f64 -1/2 (-.f64 (*.f64 n -1) m)) M) 2))))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (*.f64 -1 m))) M) 2) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (pow.f64 (-.f64 (.f64 -1/2 (-.f64 (*.f64 m -1) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 (-.f64 (*.f64 -1/2 (-.f64 (neg.f64 m) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (*.f64 -1 m))) M) 2) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (pow.f64 (-.f64 (.f64 -1/2 (-.f64 (*.f64 m -1) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 (-.f64 (*.f64 -1/2 (-.f64 (neg.f64 m) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (*.f64 -1 m))) M) 2) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (pow.f64 (-.f64 (.f64 -1/2 (-.f64 (*.f64 m -1) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 (-.f64 (*.f64 -1/2 (-.f64 (neg.f64 m) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (*.f64 -1 m))) M) 2) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (pow.f64 (-.f64 (.f64 -1/2 (-.f64 (*.f64 m -1) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 (-.f64 (*.f64 -1/2 (-.f64 (neg.f64 m) n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
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(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
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(+.f64 (*.f64 0 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 0)
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(-.f64 0 (*.f64 -1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 1)
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) -1)
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (neg.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) 1)
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (/.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (/.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(neg.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)
(neg.f64 (*.f64 -1 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)

eval354.0ms (2.1%)

Compiler: Compiled 13573 to 6760 computations (50.2% saved)

prune59.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	275	5	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	5	281

Error

1.0b

Counts

281 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.6b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	37.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
▶	33.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))))
▶	9.4b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	1.3b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 336 to 228 computations (32.1% saved)

localize84.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

New

Error

Program

✓

0.0b

(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))

0.0b

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

0.0b

(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

Compiler

Compiled 106 to 43 computations (59.4% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
0.0ms	n	@	-inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
0.0ms	n	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
0.0ms	l	@	inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
0.0ms	m	@	-inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational_best_oopsla_all_46_json-2`
1706×	`rational_best_oopsla_all_46_json-1`
1706×	`rational_best_oopsla_all_46_json-4`
1706×	`rational_best_oopsla_all_46_json-3`
690×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	88	47
2	211	47
3	699	47
4	3129	47

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))

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

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(+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))))

simplify177.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational_best_oopsla_all_46_json_45_simplify-7`
1066×	`rational_best_oopsla_all_46_json_45_simplify-72`
864×	`rational_best_oopsla_all_46_json_45_simplify-93`
680×	`rational_best_oopsla_all_46_json_45_simplify-49`
474×	`rational_best_oopsla_all_46_json_45_simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	5231
1	604	4981
2	3590	4973

Stop Event

1×	node limit

Counts

99 → 110

Calls

Call 1

Inputs
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (fabs.f64 (-.f64 n m))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (*.f64 -1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (-.f64 M (*.f64 1/2 n)) m))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (.f64 -1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))
(-.f64 (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 1 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) -1))
(+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) 0)
(+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (*.f64 0 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(+.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (neg.f64 l))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (*.f64 1 (neg.f64 l)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (*.f64 l -1))
(+.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (*.f64 1 (neg.f64 l)) (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (*.f64 1 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (*.f64 l -1) (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))
(+.f64 (*.f64 0 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (neg.f64 l)))
(+.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) -1) (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(+.f64 (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (neg.f64 l)) (.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) 1)
(*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 1 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(*.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) (/.f64 -1 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) -1)
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) (neg.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(*.f64 -1 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))
(.f64 -1 (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(*.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) 1)
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) -1)
(neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))

Outputs
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (fabs.f64 (-.f64 n m))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 n (-.f64 M (.f64 m 1/2)))) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l)))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 -1/4 (pow.f64 n 2))) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 (pow.f64 (-.f64 (.f64 m 1/2) M) 2) l)))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 (pow.f64 (-.f64 (.f64 m 1/2) M) 2) l)))
(+.f64 (fabs.f64 (-.f64 n m)) (+.f64 (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 (pow.f64 (-.f64 (.f64 m 1/2) M) 2) l)) (.f64 -1/4 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
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(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(*.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) (/.f64 -1 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (*.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) -1)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) (neg.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(*.f64 -1 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 -1 (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(.f64 (.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(*.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) 1)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (/.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))) (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))) -1)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))
(neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
✓	0.0b	(*.f64 K (+.f64 m n))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 104 to 38 computations (63.5% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	M	@	-inf	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
1.0ms	l	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
0.0ms	n	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
0.0ms	M	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
0.0ms	m	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational_best_oopsla_all_46_json_45_simplify-35`
932×	`rational_best_oopsla_all_46_json_45_simplify-80`
540×	`rational_best_oopsla_all_46_json_45_simplify-89`
536×	`rational_best_oopsla_all_46_json_45_simplify-10`
520×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	101	46
2	295	46
3	1153	46
4	5048	46

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(*.f64 K (+.f64 m n))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))

Outputs

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

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational_best_oopsla_all_46_json_45_simplify-37`
832×	`rational_best_oopsla_all_46_json_45_simplify-49`
798×	`rational_best_oopsla_all_46_json_45_simplify-13`
740×	`rational_best_oopsla_all_46_json_45_simplify-72`
616×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4469
1	687	4437
2	2735	4421

Stop Event

1×	node limit

Counts

159 → 123

Calls

Call 1

Inputs
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (*.f64 -1 m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (*.f64 -1 m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (*.f64 -1 m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (*.f64 -1 m))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) l)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) (pow.f64 l 2))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) l))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) (pow.f64 l 3))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) (pow.f64 l 2))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))) l)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 M 2)))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 M 2)))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 M 2)))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 M 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (.f64 -1 (.f64 (pow.f64 M 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(+.f64 (*.f64 K (+.f64 m n)) 0)
(+.f64 (.f64 K (+.f64 m n)) (.f64 0 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n)))))
(+.f64 (.f64 K (+.f64 m n)) (.f64 0 (*.f64 K (/.f64 (+.f64 m n) K))))
(+.f64 (.f64 K (+.f64 m n)) (.f64 0 (.f64 (/.f64 K K) (.f64 (+.f64 m n) (/.f64 K K)))))
(+.f64 (.f64 K (+.f64 m n)) (.f64 0 (*.f64 K (/.f64 (+.f64 m n) (+.f64 m n)))))
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(+.f64 (.f64 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n))) (.f64 K n)) (.f64 (.f64 K m) (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n)))))
(+.f64 (.f64 (.f64 K n) (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n)))) (.f64 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n))) (.f64 K m)))
(+.f64 (.f64 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n))) (.f64 K m)) (.f64 (.f64 K n) (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n)))))
(-.f64 (*.f64 K (+.f64 m n)) 0)
(-.f64 0 (*.f64 K (neg.f64 (+.f64 m n))))
(-.f64 0 (.f64 1 (.f64 K (neg.f64 (+.f64 m n)))))
(-.f64 0 (.f64 (/.f64 K K) (.f64 K (neg.f64 (+.f64 m n)))))
(-.f64 0 (.f64 -1 (.f64 K (+.f64 m n))))
(-.f64 0 (.f64 (.f64 (/.f64 K K) (neg.f64 (+.f64 m n))) K))
(-.f64 (.f64 K m) (.f64 K (neg.f64 n)))
(-.f64 (.f64 K n) (.f64 K (neg.f64 m)))
(-.f64 (.f64 0 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n)))) (.f64 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n))) (*.f64 K (neg.f64 (+.f64 m n)))))
(/.f64 (*.f64 K (+.f64 m n)) 1)
(/.f64 (*.f64 K (+.f64 m n)) (/.f64 K K))
(/.f64 (*.f64 K (+.f64 m n)) (/.f64 (+.f64 m n) (+.f64 m n)))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (.f64 K (+.f64 m n)) (*.f64 K (+.f64 m n))))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (.f64 (+.f64 m n) (/.f64 K K)) (*.f64 (+.f64 m n) (/.f64 K K))))
(/.f64 (*.f64 K (+.f64 m n)) (/.f64 (/.f64 K K) (/.f64 K K)))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (.f64 K (/.f64 (+.f64 m n) (+.f64 m n))) (*.f64 K (/.f64 (+.f64 m n) (+.f64 m n)))))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (.f64 (/.f64 K K) (.f64 (+.f64 m n) (/.f64 K K))) (.f64 (/.f64 K K) (*.f64 (+.f64 m n) (/.f64 K K)))))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (/.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n))) (/.f64 (.f64 K (+.f64 m n)) (*.f64 K (+.f64 m n)))))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (.f64 K (/.f64 (+.f64 m n) K)) (*.f64 K (/.f64 (+.f64 m n) K))))
(neg.f64 (*.f64 K (neg.f64 (+.f64 m n))))
(neg.f64 (.f64 1 (.f64 K (neg.f64 (+.f64 m n)))))
(neg.f64 (.f64 (/.f64 K K) (.f64 K (neg.f64 (+.f64 m n)))))
(neg.f64 (.f64 -1 (.f64 K (+.f64 m n))))
(neg.f64 (.f64 (.f64 (/.f64 K K) (neg.f64 (+.f64 m n))) K))
(+.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 0)
(+.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (*.f64 0 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(+.f64 0 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(+.f64 (*.f64 0 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(-.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 0)
(-.f64 0 (*.f64 -1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 1)
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (*.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(*.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))))
(.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))))
(*.f64 -1 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(.f64 (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(*.f64 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) -1)
(*.f64 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(.f64 (.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(*.f64 (neg.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 1)
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(neg.f64 (*.f64 -1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))

Outputs
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 M 2))))
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(/.f64 (.f64 K (+.f64 n m)) (/.f64 (/.f64 (.f64 K (+.f64 n m)) (.f64 K (+.f64 n m))) (/.f64 (.f64 K (+.f64 n m)) (*.f64 K (+.f64 n m)))))
(/.f64 (.f64 K (+.f64 m n)) (/.f64 (.f64 K (/.f64 (+.f64 m n) K)) (*.f64 K (/.f64 (+.f64 m n) K))))
(/.f64 (.f64 K (+.f64 n m)) (/.f64 (.f64 K (/.f64 (+.f64 n m) K)) (*.f64 K (/.f64 (+.f64 n m) K))))
(neg.f64 (*.f64 K (neg.f64 (+.f64 m n))))
(*.f64 K (+.f64 n m))
(neg.f64 (.f64 1 (.f64 K (neg.f64 (+.f64 m n)))))
(*.f64 K (+.f64 n m))
(neg.f64 (.f64 (/.f64 K K) (.f64 K (neg.f64 (+.f64 m n)))))
(*.f64 K (+.f64 n m))
(neg.f64 (.f64 -1 (.f64 K (+.f64 m n))))
(*.f64 K (+.f64 n m))
(neg.f64 (.f64 (.f64 (/.f64 K K) (neg.f64 (+.f64 m n))) K))
(*.f64 K (+.f64 n m))
(+.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 0)
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(+.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (*.f64 0 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(+.f64 0 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
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(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(-.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 0)
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(-.f64 0 (*.f64 -1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 1)
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (.f64 (*.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 -1 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) -1)
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(.f64 (.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(*.f64 (neg.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) 1)
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (/.f64 (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (/.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))
(neg.f64 (*.f64 -1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) l))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
✓	28.9b	(cos.f64 (.f64 n (.f64 K 1/2)))

Compiler

Compiled 120 to 55 computations (54.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(cos.f64 (.f64 n (.f64 K 1/2)))
0.0ms	K	@	0	(cos.f64 (.f64 n (.f64 K 1/2)))
0.0ms	n	@	-inf	(cos.f64 (.f64 n (.f64 K 1/2)))
0.0ms	n	@	inf	(cos.f64 (.f64 n (.f64 K 1/2)))
0.0ms	K	@	inf	(cos.f64 (.f64 n (.f64 K 1/2)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational_best_oopsla_all_46_json-2`
1862×	`rational_best_oopsla_all_46_json-1`
1862×	`rational_best_oopsla_all_46_json-4`
1862×	`rational_best_oopsla_all_46_json-3`
656×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	59	17
2	201	17
3	913	17
4	4445	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(cos.f64 (.f64 n (.f64 K 1/2)))

Outputs

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

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best_oopsla_all_46_json_45_simplify-89`
1002×	`rational_best_oopsla_all_46_json_45_simplify-80`
884×	`rational_best_oopsla_all_46_json_45_simplify-74`
774×	`rational_best_oopsla_all_46_json_45_simplify-37`
744×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1201
1	292	1201
2	1153	1201
3	5594	1201

Stop Event

1×	node limit

Counts

57 → 42

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 0)
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) 0))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))) 0))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 0 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(+.f64 0 (cos.f64 (.f64 n (.f64 K 1/2))))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 0) (cos.f64 (.f64 n (*.f64 K 1/2))))
(+.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) 0) (cos.f64 (.f64 n (*.f64 K 1/2))))
(+.f64 (.f64 0 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (cos.f64 (.f64 n (*.f64 K 1/2))))
(-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 0)
(-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) 0))
(-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))) 0))
(-.f64 0 (.f64 -1 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) 1)
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (cos.f64 (.f64 n (.f64 K 1/2))))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (cos.f64 (.f64 n (.f64 K 1/2))))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (cos.f64 (.f64 n (.f64 K 1/2))))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(.f64 1 (cos.f64 (.f64 n (*.f64 K 1/2))))
(.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (cos.f64 (.f64 n (*.f64 K 1/2))))
(.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))))
(.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (cos.f64 (.f64 n (.f64 K 1/2))))) (cos.f64 (.f64 n (.f64 K 1/2))))
(.f64 (neg.f64 (cos.f64 (.f64 n (*.f64 K 1/2)))) -1)
(.f64 (neg.f64 (cos.f64 (.f64 n (.f64 K 1/2)))) (neg.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (cos.f64 (.f64 n (.f64 K 1/2))))
(.f64 (neg.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (neg.f64 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 1)
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))))
(neg.f64 (.f64 -1 (cos.f64 (.f64 n (*.f64 K 1/2)))))

Outputs
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 (pow.f64 K 6) (.f64 -1/46080 (pow.f64 n 6))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 (pow.f64 K 6) (.f64 -1/46080 (pow.f64 n 6))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 0)
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) 0))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))) 0))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 0 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 0 (cos.f64 (.f64 n (.f64 K 1/2))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 0) (cos.f64 (.f64 n (*.f64 K 1/2))))
(cos.f64 (.f64 K (.f64 n 1/2)))
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(cos.f64 (.f64 K (.f64 n 1/2)))
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(cos.f64 (.f64 K (.f64 n 1/2)))
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(cos.f64 (.f64 K (.f64 n 1/2)))
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(-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) 0))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))) 0))
(cos.f64 (.f64 K (.f64 n 1/2)))
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(-.f64 0 (.f64 -1 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) 1)
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (cos.f64 (.f64 n (.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (cos.f64 (.f64 n (.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (cos.f64 (.f64 n (.f64 K 1/2))))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 1 (cos.f64 (.f64 n (*.f64 K 1/2))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (cos.f64 (.f64 n (*.f64 K 1/2))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 -1 (neg.f64 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 1 (cos.f64 (.f64 n (.f64 K 1/2))))) (cos.f64 (.f64 n (.f64 K 1/2))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (neg.f64 (cos.f64 (.f64 n (*.f64 K 1/2)))) -1)
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (neg.f64 (cos.f64 (.f64 n (.f64 K 1/2)))) (neg.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (cos.f64 (.f64 n (.f64 K 1/2))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(.f64 (neg.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (neg.f64 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 1)
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(neg.f64 (.f64 -1 (cos.f64 (.f64 n (*.f64 K 1/2)))))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 K 1/2)))

localize126.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 116 to 49 computations (57.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	m	@	inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))
1.0ms	n	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))
0.0ms	m	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))
0.0ms	l	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))
0.0ms	n	@	-inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational_best_oopsla_all_46_json-2`
1832×	`rational_best_oopsla_all_46_json-1`
1832×	`rational_best_oopsla_all_46_json-4`
1832×	`rational_best_oopsla_all_46_json-3`
798×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	82	35
2	214	35
3	754	35
4	3608	35

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (*.f64 (pow.f64 m 2) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)) (*.f64 0 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)) (*.f64 1 (neg.f64 l)))))) 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simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1854×	`rational_best_oopsla_all_46_json_45_simplify-13`
1478×	`rational_best_oopsla_all_46_json_45_simplify-87`
884×	`rational_best_oopsla_all_46_json_45_simplify-7`
870×	`rational_best_oopsla_all_46_json_45_simplify-72`
602×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	3567
1	451	3541
2	2986	3525

Stop Event

1×	node limit

Counts

85 → 76

Calls

Call 1

Inputs
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m)))) l)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m)))) l)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m)))) l)
(-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (.f64 (pow.f64 m 2) 1/4) -1))
(+.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)) 0)
(+.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 0 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(+.f64 0 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))
(+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)) (neg.f64 l))
(+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)) (.f64 1 (neg.f64 l)))
(+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)) (.f64 l -1))
(+.f64 (neg.f64 l) (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)))
(+.f64 (*.f64 (pow.f64 m 2) -1/4) (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (.f64 1 (neg.f64 l)) (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))
(+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (*.f64 (pow.f64 m 2) -1/4)))
(+.f64 (.f64 0 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))
(+.f64 (.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))) (neg.f64 l)))
(+.f64 (.f64 l -1) (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) -1) (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (pow.f64 m 2) -1/4)) (.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(+.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (neg.f64 l)) (.f64 (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) 1)
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 1 (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))
(.f64 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) -1)
(.f64 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) (/.f64 -1 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) (/.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))
(.f64 -1 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))))
(.f64 -1 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (+.f64 l (-.f64 (*.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m))))))
(.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))
(.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)) 1)
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) -1)
(neg.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))))

Outputs
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 n m)) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 (pow.f64 m 2) -1/4)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 (pow.f64 m 2) -1/4)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m)))) l)
(+.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (-.f64 (.f64 (pow.f64 m 2) -1/4) l))
(+.f64 (*.f64 (pow.f64 m 2) -1/4) (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) l))
(+.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m)))) l)
(+.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (-.f64 (.f64 (pow.f64 m 2) -1/4) l))
(+.f64 (*.f64 (pow.f64 m 2) -1/4) (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) l))
(+.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m)))) l)
(+.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (-.f64 (.f64 (pow.f64 m 2) -1/4) l))
(+.f64 (*.f64 (pow.f64 m 2) -1/4) (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) l))
(+.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 m 2)))
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(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) (/.f64 -1 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (/.f64 -1 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 -1 (.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)))))))
(.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))) (.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 1 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) (/.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (/.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))))
(.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))) (.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (/.f64 (neg.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))))) (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)))))))
(.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))) (.f64 (neg.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))))) (/.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 m 2) -1/4)))))))
(.f64 (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(.f64 -1 (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(.f64 -1 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (+.f64 l (-.f64 (*.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m))))))
(.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))) (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))) (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))) (+.f64 l (-.f64 (.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))))
(.f64 (+.f64 l (-.f64 (.f64 1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 n m)))) (neg.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)))))
(.f64 (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))) (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))) (/.f64 (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4))) (-.f64 l (+.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 m 2) -1/4)))))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)) 1)
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (/.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4))) (/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 m 2) -1/4)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4)))))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) -1/4))
(+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 (pow.f64 m 2) -1/4) l))
(/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))) -1)
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(neg.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 m 2) 1/4) (fabs.f64 (-.f64 n m)))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))
✓	0.2b	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
✓	0.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 234 to 101 computations (56.8% saved)

series10.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
1.0ms	m	@	0	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
1.0ms	K	@	0	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
1.0ms	M	@	0	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
1.0ms	n	@	-inf	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational_best_oopsla_all_46_json_45_simplify-35`
700×	`rational_best_oopsla_all_46_json_45_simplify-89`
644×	`rational_best_oopsla_all_46_json_45_simplify-23`
604×	`rational_best_oopsla_all_46_json-2`
604×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	97	104
2	303	104
3	1325	104
4	6036	104

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))

Outputs

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M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))) (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))))

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational_best_oopsla_all_46_json_45_simplify-13`
1216×	`rational_best_oopsla_all_46_json_45_simplify-49`
932×	`rational_best_oopsla_all_46_json_45_simplify-89`
802×	`rational_best_oopsla_all_46_json_45_simplify-24`
714×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	9905
1	1045	9687
2	4083	9687

Stop Event

1×	node limit

Counts

155 → 128

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))
(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))
(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) -1)
(.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (neg.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 -1 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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1
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1
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1
1
1
(/.f64 1 (cos.f64 (neg.f64 M)))
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(+.f64 (/.f64 1 (cos.f64 (neg.f64 M))) (.f64 1/2 (/.f64 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (pow.f64 (cos.f64 (neg.f64 M)) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 (neg.f64 M)))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2)) (pow.f64 (cos.f64 (neg.f64 M)) 3)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (pow.f64 (cos.f64 (neg.f64 M)) 2))) (/.f64 1 (cos.f64 (neg.f64 M)))))
(+.f64 (+.f64 (/.f64 1 (cos.f64 (neg.f64 M))) (.f64 1/2 (/.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (pow.f64 (cos.f64 (neg.f64 M)) 2)))) (.f64 -1 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 (neg.f64 M)))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (sin.f64 (neg.f64 M)) 2)) (pow.f64 (cos.f64 (neg.f64 M)) 3)))))))
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(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)))
(/.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))
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(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) -1)
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (neg.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 -1 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))

eval1.4s (8%)

Compiler: Compiled 82996 to 41320 computations (50.2% saved)

prune546.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1519	12	1531
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1524	12	1536

Error

1.0b

Counts

1536 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	14.6b	(.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	37.8b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
	14.6b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	51.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
▶	35.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))
▶	45.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	45.0b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
	23.7b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
▶	26.4b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
	26.6b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	43.8b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
▶	1.3b	(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 692 to 474 computations (31.5% saved)

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))

0.0b

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

0.0b

(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

Compiler

Compiled 100 to 43 computations (57% saved)

localize11.0ms (0.1%)

Compiler: Compiled 24 to 10 computations (58.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	0.0b	(*.f64 K (+.f64 m n))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 64 to 24 computations (62.5% saved)

series7.0ms (0%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	m	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	K	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	n	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
0.0ms	l	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational_best_oopsla_all_46_json_45_simplify-35`
730×	`rational_best_oopsla_all_46_json_45_simplify-89`
690×	`rational_best_oopsla_all_46_json_45_simplify-23`
634×	`rational_best_oopsla_all_46_json-2`
634×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	105	43
2	327	43
3	1395	43
4	6216	43

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (*.f64 0 (/.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (*.f64 0 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (*.f64 0 (*.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (*.f64 0 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K 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2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))))) 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simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational_best_oopsla_all_46_json_45_simplify-10`
854×	`rational_best_oopsla_all_46_json_45_simplify-89`
852×	`rational_best_oopsla_all_46_json_45_simplify-13`
794×	`rational_best_oopsla_all_46_json_45_simplify-49`
734×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	6448
1	827	6264
2	3353	6048
3	6859	6048

Stop Event

1×	node limit

Counts

92 → 143

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
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(+.f64 0 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))
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(+.f64 (.f64 0 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 0 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))) (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 0 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))) (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))
(-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) 0)
(-.f64 0 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l)))))
(-.f64 0 (.f64 1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(-.f64 0 (.f64 -1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))
(-.f64 0 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(-.f64 0 (.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))) (.f64 (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) 1)
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l)))))
(neg.f64 (.f64 1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(neg.f64 (.f64 -1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))
(neg.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

Outputs
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (.f64 K (+.f64 n m))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (.f64 K (+.f64 n m)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))))
(+.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))) (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (.f64 K (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (.f64 1/48 (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (.f64 1/48 (*.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)) m)))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M)) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 K (.f64 1/2 n)) M)))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 1/2 n)) M)) (.f64 -1/2 (.f64 K m)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) m)))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)) (pow.f64 m 2)))))))
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(-.f64 0 (.f64 1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(-.f64 0 (.f64 -1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(-.f64 0 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(-.f64 0 (.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))) (.f64 (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))) (neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) 1)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))))
(/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))))) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))))))
(/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(neg.f64 (.f64 1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(neg.f64 (.f64 -1 (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(neg.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
✓	0.0b	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
✓	0.0b	(*.f64 -1/4 (pow.f64 m 2))

Compiler

Compiled 38 to 26 computations (31.6% saved)

series4.0ms (0%)

Counts

3 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	m	@	inf	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
1.0ms	M	@	inf	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
0.0ms	M	@	0	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
0.0ms	m	@	0	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
0.0ms	M	@	-inf	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1992×	`rational_best_oopsla_all_46_json-2`
1992×	`rational_best_oopsla_all_46_json-1`
1992×	`rational_best_oopsla_all_46_json-4`
1992×	`rational_best_oopsla_all_46_json-3`
980×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	78	61
2	209	61
3	803	61
4	3972	61

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 m 2))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))

Outputs

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simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1848×	`rational_best_oopsla_all_46_json_45_simplify-13`
1012×	`rational_best_oopsla_all_46_json_45_simplify-72`
944×	`rational_best_oopsla_all_46_json_45_simplify-7`
874×	`rational_best_oopsla_all_46_json_45_simplify-49`
478×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	3866
1	692	3818
2	3092	3810

Stop Event

1×	node limit

Counts

118 → 139

Calls

Call 1

Inputs
1
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Outputs
1
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(-.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (neg.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))) 0))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(-.f64 0 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (neg.f64 (cos.f64 (neg.f64 M)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(-.f64 0 (.f64 (neg.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))) (cos.f64 (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(-.f64 (.f64 0 (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))))) (.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (neg.f64 (cos.f64 (neg.f64 M))))))
(.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))) (neg.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (neg.f64 (cos.f64 (neg.f64 M))))))
(.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) 1)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M)))))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))) (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))))))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (cos.f64 (neg.f64 M)) (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))) (.f64 (cos.f64 (neg.f64 M)) (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))))))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (cos.f64 (neg.f64 M)) (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))) (.f64 (cos.f64 (neg.f64 M)) (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M)))))))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M))) (/.f64 (.f64 (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))) (.f64 (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M)))))))
(neg.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (neg.f64 (cos.f64 (neg.f64 M)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))
(neg.f64 (.f64 (neg.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (/.f64 (cos.f64 (neg.f64 M)) (cos.f64 (neg.f64 M))))) (cos.f64 (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 (neg.f64 M)))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 m 2) -1/4)
	0.0b	(*.f64 K (+.f64 m n))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 76 to 39 computations (48.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	m	@	0	(*.f64 (pow.f64 m 2) -1/4)
0.0ms	m	@	inf	(*.f64 (pow.f64 m 2) -1/4)
0.0ms	m	@	-inf	(*.f64 (pow.f64 m 2) -1/4)

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best_oopsla_all_46_json_45_simplify-13`
1162×	`rational_best_oopsla_all_46_json_45_simplify-89`
1014×	`rational_best_oopsla_all_46_json_45_simplify-87`
1006×	`rational_best_oopsla_all_46_json-2`
1006×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	42	13
2	110	13
3	398	13
4	2051	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(*.f64 (pow.f64 m 2) -1/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) -1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 m 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4)) (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (/.f64 -1/4 (pow.f64 m 2)) (neg.f64 (pow.f64 m 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 -1/4 (/.f64 (pow.f64 m 2) (pow.f64 m 2))) (pow.f64 m 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 0 (*.f64 (pow.f64 m 2) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 1 (*.f64 (pow.f64 m 2) -1/4))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (pow.f64 m 2) -1/4) (neg.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 -1/4 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) (neg.f64 (pow.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2)))))) (*.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2))))) (neg.f64 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 -1/4 (/.f64 (pow.f64 m 2) (pow.f64 m 2))) (pow.f64 m 2)))) (*.f64 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 -1/4 (/.f64 (pow.f64 m 2) (pow.f64 m 2))) (pow.f64 m 2))) (neg.f64 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 1 (*.f64 (pow.f64 m 2) -1/4)))) (*.f64 (*.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 1 (*.f64 (pow.f64 m 2) -1/4))) (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4)) (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4)) (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4))) (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4)))) (*.f64 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4))) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (pow.f64 m 2) (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4)) (/.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (pow.f64 m 2) (/.f64 -1/4 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) (/.f64 -1/4 (pow.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2)))) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (/.f64 -1/4 (pow.f64 m 2)) (/.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2))))) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) (/.f64 (pow.f64 m 2) (pow.f64 m 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 1 (*.f64 (pow.f64 m 2) -1/4))) (*.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 1 (*.f64 (pow.f64 m 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 -1/4 (/.f64 (pow.f64 m 2) (pow.f64 m 2))) (pow.f64 m 2))) (*.f64 (pow.f64 m 2) (/.f64 (*.f64 -1/4 (/.f64 (pow.f64 m 2) (pow.f64 m 2))) (pow.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) (/.f64 (*.f64 (pow.f64 m 2) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4))) (*.f64 (pow.f64 m 2) (/.f64 (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4) (*.f64 (/.f64 (pow.f64 m 2) (pow.f64 m 2)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 m 2) 1/4))))))

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best_oopsla_all_46_json_45_simplify-89`
1046×	`rational_best_oopsla_all_46_json_45_simplify-74`
1014×	`rational_best_oopsla_all_46_json_45_simplify-24`
800×	`rational_best_oopsla_all_46_json_45_simplify-10`
770×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1193
1	368	1193
2	1392	1189
3	5758	1189

Stop Event

1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

eval438.0ms (2.6%)

Compiler: Compiled 33025 to 17459 computations (47.1% saved)

prune303.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	963	10	973
Fresh	3	4	7
Picked	1	0	1
Done	4	0	4
Total	971	14	985

Error

1.0b

Counts

985 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.6b	(.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	45.9b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (neg.f64 l)))
	14.6b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	51.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
▶	45.0b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
	34.3b	(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	33.2b	(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
▶	22.9b	(.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) 1/4))))
	23.7b	(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
	26.6b	(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
	43.8b	(*.f64 1 (exp.f64 (neg.f64 l)))
▶	26.4b	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
	59.3b	(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
▶	59.1b	(cos.f64 (neg.f64 M))

Compiler

Compiled 684 to 480 computations (29.8% saved)

localize114.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
	0.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
✓	0.3b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
	35.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 363 to 164 computations (54.8% saved)

series1.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	K	@	0	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
0.0ms	K	@	inf	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
0.0ms	m	@	-inf	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
0.0ms	K	@	-inf	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
0.0ms	n	@	-inf	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`rational_best_oopsla_all_46_json_45_simplify-23`
1060×	`rational_best_oopsla_all_46_json_45_simplify-89`
1012×	`rational_best_oopsla_all_46_json_45_simplify-13`
908×	`rational_best_oopsla_all_46_json_45_simplify-37`
848×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	143
1	117	69
2	433	69
3	1968	69

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs

(*.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

Outputs

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

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational_best_oopsla_all_46_json_45_simplify-89`
1172×	`rational_best_oopsla_all_46_json_45_simplify-74`
1084×	`rational_best_oopsla_all_46_json_45_simplify-24`
732×	`rational_best_oopsla_all_46_json_45_simplify-10`
674×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	5456
1	501	5274
2	1766	5274
3	7133	5274

Stop Event

1×	node limit

Counts

114 → 71

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
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Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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1
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1
1
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1
1
1
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(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))) (neg.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(/.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 -1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))) -1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 -1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 -1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (neg.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (neg.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (fabs.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (fabs.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
(fabs.f64 (.f64 (neg.f64 (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (fabs.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

localize6.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/4 (pow.f64 m 2))
	0.0b	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
	28.9b	(cos.f64 (.f64 n (.f64 K 1/2)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	n	@	-inf	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
1.0ms	n	@	0	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
1.0ms	l	@	inf	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
0.0ms	l	@	0	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
0.0ms	n	@	inf	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best_oopsla_all_46_json_45_simplify-35`
780×	`rational_best_oopsla_all_46_json_45_simplify-89`
714×	`rational_best_oopsla_all_46_json_45_simplify-23`
702×	`rational_best_oopsla_all_46_json_45_simplify-37`
672×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	88	31
2	303	31
3	1381	31
4	6511	31

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 n (*.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2))))) (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))) (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))) (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))))) (*.f64 (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))) (*.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 n (*.f64 K 1/2))))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 n (*.f64 K 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))) (/.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))) (*.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 n (*.f64 K 1/2))) (cos.f64 (*.f64 n (*.f64 K 1/2)))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 n (*.f64 K 1/2)))))))))

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational_best_oopsla_all_46_json_45_simplify-89`
1254×	`rational_best_oopsla_all_46_json_45_simplify-74`
1134×	`rational_best_oopsla_all_46_json_45_simplify-24`
860×	`rational_best_oopsla_all_46_json_45_simplify-10`
850×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	2824
1	442	2824
2	1597	2724
3	5714	2724

Stop Event

1×	node limit

Counts

68 → 64

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (.f64 -1/46080 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 6) (pow.f64 K 6)))) (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (*.f64 (pow.f64 n 4) (pow.f64 K 4)))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (.f64 -1/46080 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 6) (pow.f64 K 6)))) (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (*.f64 (pow.f64 n 4) (pow.f64 K 4)))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 3))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 n K))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (.f64 -1 l)))
(+.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) 0)
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 0 (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))))))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 0 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))))))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 0 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2)))))))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 0 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))
(+.f64 0 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 0 (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 0 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 0 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (.f64 K 1/2)))))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 0 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))
(-.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) 0)
(-.f64 0 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l)))))
(-.f64 0 (.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(-.f64 0 (.f64 -1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l)))))
(-.f64 0 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(-.f64 0 (.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))))) (.f64 (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) 1)
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(/.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (.f64 K 1/2))))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2)))))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l)))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))))
(neg.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l)))))
(neg.f64 (.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(neg.f64 (.f64 -1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l)))))
(neg.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (.f64 n (.f64 K 1/2)))))

Outputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (pow.f64 n 2) (*.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2)))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2)))) (+.f64 (exp.f64 (neg.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 4) (.f64 1/384 (pow.f64 K 4))))))
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(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (exp.f64 (neg.f64 l)) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))))
(/.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (*.f64 K 1/2))))))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (.f64 K 1/2))))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2)))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (/.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (/.f64 (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l)))) (/.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(neg.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(neg.f64 (.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(neg.f64 (.f64 -1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (neg.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(neg.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (exp.f64 (neg.f64 l))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (neg.f64 (exp.f64 (neg.f64 l)))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4))
✓	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4)))

Compiler

Compiled 72 to 36 computations (50% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	m	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4)))
0.0ms	n	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4)))
0.0ms	l	@	0	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4)))
0.0ms	n	@	inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4))
0.0ms	n	@	inf	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4)))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational_best_oopsla_all_46_json-2`
1936×	`rational_best_oopsla_all_46_json-1`
1936×	`rational_best_oopsla_all_46_json-4`
1936×	`rational_best_oopsla_all_46_json-3`
690×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	87	74
2	225	74
3	792	74
4	3764	74

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) 1/4))

Outputs

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(+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)) (/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)) (/.f64 (/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))))))

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1516×	`rational_best_oopsla_all_46_json_45_simplify-13`
1028×	`rational_best_oopsla_all_46_json_45_simplify-49`
956×	`rational_best_oopsla_all_46_json_45_simplify-7`
794×	`rational_best_oopsla_all_46_json_45_simplify-72`
618×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	8504
1	750	8300
2	3456	8266

Stop Event

1×	node limit

Counts

158 → 161

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 n 2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m))) l)
(*.f64 -1/4 (pow.f64 n 2))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m))) l)
(*.f64 -1/4 (pow.f64 n 2))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (.f64 -1/4 (pow.f64 n 2))) l)
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (.f64 -1/4 (pow.f64 n 2))) l)
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (.f64 -1/4 (pow.f64 n 2))) l)
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2)))
(+.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))) 0)
(+.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))) 0))
(+.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)))) 0))
(+.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 0 (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))))))
(+.f64 0 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))))
(+.f64 (.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) 0) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))))
(+.f64 (.f64 (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)))) 0) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))))
(+.f64 (.f64 0 (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))))
(-.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))) 0)
(-.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))) 0))
(-.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)))) 0))
(-.f64 0 (neg.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)))))
(.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) 1)
(.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)))))
(.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (/.f64 1 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))))))
(.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (.f64 (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)))) (/.f64 (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4))) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4))))))
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(.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)) (/.f64 1 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))))))
(.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)) (/.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))))))
(.f64 (.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)) (/.f64 1 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)))
(.f64 -1 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))
(.f64 -1 (.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))))
(.f64 (.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)))
(.f64 (neg.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 n 2) -1/4)) 1)
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)) (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))))
(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) -1/4)) (/.f64 (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m))))) (/.f64 (+.f64 l (-.f64 (.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))))
(/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) -1)
(neg.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (pow.f64 n 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (pow.f64 n 2))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (pow.f64 n 4)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 1/32 (pow.f64 n 4))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/4 (pow.f64 n 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 1/32 (pow.f64 n 4)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (pow.f64 n 2))) (+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (pow.f64 n 4))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/384 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (pow.f64 n 6))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 1/32 (pow.f64 n 4))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/384 (pow.f64 n 6))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 1/32 (pow.f64 n 4)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 -1/384 (pow.f64 n 6)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (.f64 n -1)))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 m -1))) (+.f64 l (.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 n 2) 1/4)))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 n 2) 1/4))) (neg.f64 l)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 1/4 (pow.f64 n 2))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4)))))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 n 2) 1/4))) (pow.f64 l 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 1/2 (pow.f64 l 2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (neg.f64 l))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (neg.f64 l)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 1/2 (pow.f64 l 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 1/4 (pow.f64 n 2)))))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (pow.f64 l 2))) (+.f64 (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4)))))) (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (pow.f64 l 3)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (neg.f64 l)) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 -1/6 (pow.f64 l 3))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))) (*.f64 1/2 (pow.f64 l 2))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 (pow.f64 n 2) 1/4))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 l)) (*.f64 (pow.f64 n 2) 1/4)))
(exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 -1/4 (pow.f64 n 2)) l)))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 -1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 l)) (*.f64 (pow.f64 n 2) 1/4)))
(exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (*.f64 -1/4 (pow.f64 n 2)) l)))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 -1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 l)) (*.f64 (pow.f64 n 2) 1/4)))
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(/.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 -1/4 (pow.f64 n 2))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 n 2) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))) (+.f64 (.f64 (pow.f64 n 2) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))) (/.f64 (+.f64 (.f64 (pow.f64 n 2) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 (pow.f64 n 2) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(/.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))) -1)
(neg.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))
(neg.f64 (+.f64 (*.f64 (pow.f64 n 2) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))
(neg.f64 (+.f64 l (-.f64 (*.f64 (pow.f64 n 2) 1/4) (fabs.f64 (-.f64 n m)))))
(neg.f64 (+.f64 (*.f64 (pow.f64 n 2) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))

eval1.5s (8.9%)

Compiler: Compiled 81260 to 42272 computations (48% saved)

prune419.0ms (2.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1003	8	1011
Fresh	2	7	9
Picked	1	0	1
Done	2	2	4
Total	1008	17	1025

Error

1.0b

Counts

1025 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	59.8b	(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
	14.6b	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.6b	(.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	45.9b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (neg.f64 l)))
	14.6b	(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	51.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	34.3b	(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	28.7b	(.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))))
	50.8b	(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	23.7b	(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
	26.6b	(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
✓	26.4b	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
	43.8b	(exp.f64 (neg.f64 l))
	59.3b	(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
	59.2b	(cos.f64 (.f64 n (.f64 K 1/2)))
✓	59.1b	(cos.f64 (neg.f64 M))
	59.1b	1

Compiler

Compiled 451 to 307 computations (31.9% saved)

regimes132.0ms (0.8%)

Counts

37 → 1

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
(.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) 1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 (pow.f64 m 2) 1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (neg.f64 l)))
(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (/.f64 1 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Outputs
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Calls

6 calls:

28.0ms	l
22.0ms	n
21.0ms	m
19.0ms	M
19.0ms	K

Results

Error	Segments	Branch
1.3b	1	`K`
1.3b	1	`m`
1.3b	1	`n`
1.3b	1	`M`
1.3b	1	`l`
1.3b	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 886 to 462 computations (47.9% saved)

regimes323.0ms (1.9%)

Counts

23 → 7

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
(.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 (pow.f64 n 2) 1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))

Outputs
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2))))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Calls

5 calls:

95.0ms	K
75.0ms	n
65.0ms	l
58.0ms	M
23.0ms	m

Results

Error	Segments	Branch
16.4b	9	`K`
7.1b	2	`m`
5.1b	7	`n`
7.9b	4	`M`
13.1b	6	`l`

Compiler

Compiled 249 to 154 computations (38.2% saved)

bsearch225.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	0.05510035257113433	0.5996867361426755
31.0ms	5.4922481069545985e-146	5.684141617537761e-142
30.0ms	5.0148046260617945e-214	2.208199899364728e-209
75.0ms	8.289285112410906e-280	2.4270697137760788e-265
25.0ms	-1.094996946196833e-285	-7.844478201529036e-288
40.0ms	-1.1657312976530724e-206	-9.949720869656788e-220

Results

186.0ms	752×	body	256	valid
12.0ms	24×	body	512	valid
7.0ms	38×	body	256	infinite
5.0ms	8×	body	1024	valid
1.0ms	3×	body	512	infinite

Compiler

Compiled 1637 to 1391 computations (15% saved)

regimes381.0ms (2.2%)

Counts

18 → 6

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (pow.f64 n 2) 1/4))))

Outputs
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Calls

5 calls:

112.0ms	M
110.0ms	l
76.0ms	K
51.0ms	n
26.0ms	m

Results

Error	Segments	Branch
20.3b	3	`K`
8.3b	3	`m`
6.3b	6	`n`
7.7b	6	`M`
13.1b	6	`l`

Compiler

Compiled 173 to 115 computations (33.5% saved)

bsearch172.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	0.05510035257113433	0.5996867361426755
38.0ms	5.8632916280106714e-120	1.9713329453233147e-107
45.0ms	5.684141617537761e-142	5.3185090604130223e-138
29.0ms	5.0148046260617945e-214	2.208199899364728e-209
37.0ms	8.289285112410906e-280	2.4270697137760788e-265

Results

142.0ms	638×	body	256	valid
8.0ms	22×	body	512	valid
7.0ms	12×	body	1024	valid
5.0ms	24×	body	256	infinite

Compiler

Compiled 1254 to 1096 computations (12.6% saved)

regimes571.0ms (3.3%)

Counts

15 → 6

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Calls

5 calls:

192.0ms	m
161.0ms	l
127.0ms	n
53.0ms	M
34.0ms	K

Results

Error	Segments	Branch
20.3b	3	`K`
8.5b	3	`m`
6.3b	6	`n`
7.7b	6	`M`
13.1b	6	`l`

Compiler

Compiled 140 to 95 computations (32.1% saved)

bsearch262.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
25.0ms	0.05510035257113433	0.5996867361426755
147.0ms	5.8632916280106714e-120	1.9713329453233147e-107
30.0ms	5.684141617537761e-142	5.3185090604130223e-138
52.0ms	5.0148046260617945e-214	2.208199899364728e-209
7.0ms	8.289285112410906e-280	2.4270697137760788e-265

Results

109.0ms	413×	body	256	valid
88.0ms	11×	body	1024	valid
5.0ms	27×	body	256	infinite
3.0ms	8×	body	512	valid
1.0ms	3×	body	512	infinite

Compiler

Compiled 775 to 673 computations (13.2% saved)

regimes332.0ms (1.9%)

Counts

11 → 6

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Calls

5 calls:

89.0ms	M
89.0ms	n
75.0ms	l
56.0ms	K
20.0ms	m

Results

Error	Segments	Branch
20.3b	3	`K`
8.5b	3	`m`
6.3b	6	`n`
8.7b	4	`M`
13.1b	6	`l`

Compiler

Compiled 98 to 72 computations (26.5% saved)

bsearch208.0ms (1.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
30.0ms	0.05510035257113433	0.5996867361426755
44.0ms	5.8632916280106714e-120	1.9713329453233147e-107
93.0ms	5.684141617537761e-142	5.3185090604130223e-138
33.0ms	5.0148046260617945e-214	2.208199899364728e-209
8.0ms	8.289285112410906e-280	2.4270697137760788e-265

Results

171.0ms	529×	body	256	valid
11.0ms	5×	body	1024	valid
5.0ms	24×	body	256	infinite
4.0ms	10×	body	512	valid

Compiler

Compiled 914 to 816 computations (10.7% saved)

regimes157.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))

Outputs
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))

Calls

5 calls:

45.0ms	n
44.0ms	l
25.0ms	K
20.0ms	M
20.0ms	m

Results

Error	Segments	Branch
24.0b	3	`K`
11.1b	3	`m`
19.4b	7	`n`
11.1b	3	`M`
15.7b	6	`l`

Compiler

Compiled 90 to 65 computations (27.8% saved)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	9.099996783598318e-5	7380.942612228983
18.0ms	-11690353112268.52	-4754056338116.912

Results

47.0ms	221×	body	256	valid
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid
1.0ms	1×	body	1024	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 392 to 352 computations (10.2% saved)

regimes135.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Calls

5 calls:

104.0ms	m
12.0ms	l
7.0ms	n
5.0ms	K
5.0ms	M

Results

Error	Segments	Branch
26.4b	1	`K`
19.8b	3	`m`
26.4b	1	`n`
26.4b	1	`M`
19.9b	2	`l`

Compiler

Compiled 76 to 58 computations (23.7% saved)

bsearch84.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	1.1840871346256693e-60	1.826952218627326e-46
23.0ms	-4.4159363320490265e-13	-1.7946704236398535e-13

Results

68.0ms	222×	body	256	valid
5.0ms	8×	body	1024	valid
4.0ms	10×	body	512	valid
3.0ms	5×	body	1024	infinite
1.0ms	5×	body	256	infinite

Compiler

Compiled 357 to 315 computations (11.8% saved)

regimes30.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))

Outputs
(exp.f64 (neg.f64 l))

Calls

5 calls:

7.0ms	l
6.0ms	n
5.0ms	M
5.0ms	K
5.0ms	m

Results

Error	Segments	Branch
43.8b	1	`K`
43.8b	1	`m`
43.8b	1	`n`
43.8b	1	`M`
43.8b	1	`l`

Compiler

Compiled 70 to 53 computations (24.3% saved)

regimes18.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(cos.f64 (neg.f64 M))

Outputs
(cos.f64 (neg.f64 M))

Calls

5 calls:

5.0ms	l
3.0ms	m
3.0ms	n
3.0ms	K
3.0ms	M

Results

Error	Segments	Branch
59.1b	1	`K`
59.1b	1	`m`
59.1b	1	`n`
59.1b	1	`M`
59.1b	1	`l`

Compiler

Compiled 39 to 33 computations (15.4% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1020

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 n -5092259342746325/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n -6000448200243097/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (if (<=.f64 n 7986907223269343/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 8567267479843001/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))))))
(if (<=.f64 n 1218164251425/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 2577422614171099/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 272346098576959/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 8576696946688161/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))
(if (<=.f64 n 6090821257124999/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 7039099163219863/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 8576696946688161/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))
(if (<=.f64 n 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 962387809749089/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 272346098576959/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 8576696946688161/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))
(if (<=.f64 M -4800000000000) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 M 27) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))))
(if (<=.f64 m -8715097876569077/19807040628566084398385987584) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 1156995391866473/6427752177035961102167848369364650410088811975131171341205504) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))))
(exp.f64 (neg.f64 l))
(cos.f64 (neg.f64 M))
1

Outputs
(*.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 n -5092259342746325/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n -6000448200243097/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (if (<=.f64 n 7986907223269343/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 8567267479843001/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))))))
(if (<=.f64 n 1218164251425/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 2577422614171099/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 272346098576959/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 n 8576696946688161/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))
(if (<=.f64 n 6090821257124999/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 7039099163219863/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 8576696946688161/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 1 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))
(if (<=.f64 n 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 962387809749089/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 n 272346098576959/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 n 8576696946688161/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (if (<=.f64 n 5224175567749775/9007199254740992) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))
(if (<=.f64 M -4800000000000) (.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 M 27) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))))
(if (<=.f64 m -8715097876569077/19807040628566084398385987584) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 1156995391866473/6427752177035961102167848369364650410088811975131171341205504) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))))
(exp.f64 (neg.f64 l))
(cos.f64 (neg.f64 M))
1

Compiler

Compiled 417 to 328 computations (21.3% saved)

soundness243.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1618×	`rational_best_oopsla_all_46_json_45_simplify-72`
1476×	`rational_best_oopsla_all_46_json_45_simplify-89`
1452×	`rational_best_oopsla_all_46_json_45_simplify-89`
1206×	`rational_best_oopsla_all_46_json_45_simplify-24`
1176×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	48	89
2	112	89
3	349	85
4	1328	85
5	5223	85
0	454	13613
1	1629	13097
2	6113	13081

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 259 to 141 computations (45.6% saved)

end369.0ms (2.1%)

Remove: (sort m n)
Compiler: Compiled 420 to 299 computations (28.8% saved)