Details

analyze60.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
0%	0%	56.2%	43.8%	0%	0%	0%	2
25%	14%	42.1%	43.8%	0%	0%	0%	3
37.5%	21.1%	35.1%	43.8%	0%	0%	0%	4
56.3%	31.6%	24.6%	43.8%	0%	0%	0%	5
65.6%	36.9%	19.3%	43.8%	0%	0%	0%	6
76.6%	43%	13.2%	43.8%	0%	0%	0%	7
82%	46.1%	10.1%	43.8%	0%	0%	0%	8
87.9%	49.4%	6.8%	43.8%	0%	0%	0%	9
90.8%	51%	5.2%	43.8%	0%	0%	0%	10
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	11
95.4%	53.6%	2.6%	43.8%	0%	0%	0%	12

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample2.2s (8.2%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess189.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1422×	`rational_best_oopsla_all_46_json_45_simplify-49`
1288×	`rational_best_oopsla_all_46_json_45_simplify-72`
1106×	`rational_best_oopsla_all_46_json_45_simplify-10`
1050×	`rational_best_oopsla_all_46_json_45_simplify-30`
924×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	170
1	50	158
2	109	158
3	277	158
4	928	158
5	3243	158
6	7188	158
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 1)) 1))

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 alpha beta) (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (+.f64 1 (+.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (+.f64 alpha (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (+.f64 alpha (+.f64 beta 1))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (*.f64 alpha beta) (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 alpha beta) (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (+.f64 1 (+.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (+.f64 alpha (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (+.f64 alpha (+.f64 beta 1))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (*.f64 alpha beta) (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best_oopsla_all_46_json_45_simplify-49`
1004×	`rational_best_oopsla_all_46_json_45_simplify-7`
966×	`rational_best_oopsla_all_46_json_45_simplify-72`
744×	`rational_best_oopsla_all_46_json_45_simplify-10`
708×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	29	79
2	74	79
3	191	79
4	592	79
5	2594	79
6	5409	79

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 1 (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 1 (*.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (*.f64 alpha beta) (+.f64 beta 1))) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (*.f64 alpha beta) (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))

eval2.0ms (0%)

Compiler: Compiled 201 to 113 computations (43.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	1	8

Error

2.8b

Counts

8 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.8b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 29 to 18 computations (37.9% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	2.6b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 103 to 51 computations (50.5% saved)

series78.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
55.0ms	beta	@	0	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
2.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
2.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))

rewrite134.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`rational_best_oopsla_all_46_json_45_simplify-35`
920×	`rational_best_oopsla_all_46_json_45_simplify-108`
884×	`rational_best_oopsla_all_46_json_45_simplify-7`
612×	`rational_best_oopsla_all_46_json_45_simplify-80`
502×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	208
1	103	208
2	263	208
3	979	208
4	4765	208

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 0 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (.f64 0 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (.f64 -1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 1 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 (/.f64 (/.f64 (+.f64 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simplify243.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational_best_oopsla_all_46_json_45_simplify-23`
1322×	`rational_best_oopsla_all_46_json_45_simplify-37`
1228×	`rational_best_oopsla_all_46_json_45_simplify-35`
622×	`rational_best_oopsla_all_46_json_45_simplify-49`
612×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	862	25751
1	3299	25157

Stop Event

1×	node limit

Counts

241 → 386

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
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(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1)))))
(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1)))) (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))))))
(neg.f64 (-.f64 -1 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))))
(neg.f64 (.f64 -1 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1)))))

Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (+.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (-.f64 beta (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (+.f64 1 (-.f64 beta (.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 2)))))) (-.f64 beta (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 1 alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (+.f64 1 (-.f64 beta (.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 2)))) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 1 (-.f64 beta (.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 3))))) (-.f64 beta (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(-.f64 (*.f64 (neg.f64 beta) -1) -1)
(*.f64 1 (+.f64 beta 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (-.f64 (.f64 (neg.f64 beta) -1) -1) (.f64 -1 (/.f64 (-.f64 (+.f64 (neg.f64 beta) -1) (*.f64 (+.f64 beta 2) (+.f64 (neg.f64 beta) -1))) alpha)))
(.f64 -1 (+.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (-.f64 (+.f64 -1 (neg.f64 beta)) (.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta)))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (-.f64 (.f64 (neg.f64 beta) -1) -1) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (neg.f64 beta) -1) (.f64 (+.f64 beta 2) (+.f64 (neg.f64 beta) -1))) alpha)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 (neg.f64 beta) -1) (*.f64 (+.f64 beta 2) (+.f64 (neg.f64 beta) -1)))) (pow.f64 alpha 2))))
(+.f64 (.f64 1 (+.f64 beta 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 -1 (neg.f64 beta)) (.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta)))) alpha)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta))))) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (-.f64 (.f64 (neg.f64 beta) -1) -1) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (neg.f64 beta) -1) (.f64 (+.f64 beta 2) (+.f64 (neg.f64 beta) -1))) alpha)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 (neg.f64 beta) -1) (.f64 (+.f64 beta 2) (+.f64 (neg.f64 beta) -1)))) (pow.f64 alpha 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 (neg.f64 beta) -1) (.f64 (+.f64 beta 2) (+.f64 (neg.f64 beta) -1)))) (pow.f64 alpha 3))))
(+.f64 (+.f64 (.f64 1 (+.f64 beta 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 -1 (neg.f64 beta)) (.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta)))) alpha)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 -1 (neg.f64 beta)) (.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta))))) (pow.f64 alpha 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 -1 (neg.f64 beta)) (.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta))))) (pow.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(/.f64 (-.f64 alpha -1) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(+.f64 1 alpha)
(-.f64 alpha -1)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (/.f64 alpha beta) alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (+.f64 (-.f64 alpha -1) (/.f64 alpha beta)) (-.f64 (/.f64 1 beta) (/.f64 (*.f64 (-.f64 alpha -1) (+.f64 2 alpha)) beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 1 (.f64 (-.f64 alpha -1) (+.f64 2 alpha))))) (pow.f64 beta 2)))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (-.f64 alpha -1) (+.f64 2 alpha)) beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha (-.f64 1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 1 (.f64 (-.f64 alpha -1) (+.f64 2 alpha))))) (pow.f64 beta 2))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha (-.f64 1 (.f64 (-.f64 alpha -1) (+.f64 2 alpha))))) (pow.f64 beta 3)))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (-.f64 alpha -1) (+.f64 2 alpha)) beta)))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(*.f64 -1 (+.f64 (neg.f64 alpha) -1))
(*.f64 1 (-.f64 alpha -1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (.f64 -1 (+.f64 (neg.f64 alpha) -1)) (.f64 -1 (/.f64 (-.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 (neg.f64 alpha) -1))) beta)))
(.f64 -1 (+.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 -1 (neg.f64 alpha)))) beta)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 (neg.f64 alpha) -1))) beta)) (+.f64 (.f64 -1 (+.f64 (neg.f64 alpha) -1)) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 (neg.f64 alpha) -1)))) (pow.f64 beta 2))))
(+.f64 (.f64 -1 (+.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 -1 (neg.f64 alpha)))) beta))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 -1 (neg.f64 alpha))))) (pow.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 (neg.f64 alpha) -1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 (neg.f64 alpha) -1)))) (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 2 alpha) (+.f64 (neg.f64 alpha) -1)))) (pow.f64 beta 3))) (.f64 -1 (+.f64 (neg.f64 alpha) -1)))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) 1)
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(neg.f64 (-.f64 -1 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))))
(+.f64 (+.f64 beta (*.f64 beta alpha)) (-.f64 alpha -1))
(+.f64 1 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))))
(neg.f64 (.f64 -1 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1)))))
(neg.f64 (.f64 -1 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha))))))

eval415.0ms (1.5%)

Compiler: Compiled 28534 to 19730 computations (30.9% saved)

prune86.0ms (0.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	370	16	386
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	370	17	387

Error

0.0b

Counts

387 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	2.8b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	4.3b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	33.2b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	33.0b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	26.2b	(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	30.8b	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
▶	4.1b	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
▶	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
▶	2.8b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	33.4b	(/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	32.5b	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
	29.9b	(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3)))
	8.3b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	2.8b	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))
	34.2b	(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
▶	15.9b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))

Compiler

Compiled 1045 to 712 computations (31.9% saved)

localize98.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))
✓	0.0b	(.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))
✓	0.1b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	2.6b	(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 277 to 155 computations (44% saved)

series29.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	-inf	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))
3.0ms	alpha	@	-inf	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	alpha	@	-inf	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))
2.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	beta	@	0	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

rewrite162.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational_best_oopsla_all_46_json_45_simplify-23`
922×	`rational_best_oopsla_all_46_json_45_simplify-13`
870×	`rational_best_oopsla_all_46_json-2`
870×	`rational_best_oopsla_all_46_json-1`
870×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	370
1	139	268
2	418	268
3	1902	268

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

Inputs
(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))))

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

simplify429.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational_best_oopsla_all_46_json_45_simplify-23`
974×	`rational_best_oopsla_all_46_json_45_simplify-35`
936×	`rational_best_oopsla_all_46_json_45_simplify-37`
696×	`rational_best_oopsla_all_46_json_45_simplify-49`
690×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	905	39759
1	3422	39603

Stop Event

1×	node limit

Counts

309 → 481

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))) (.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (neg.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) -1)
(neg.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(fabs.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(fabs.f64 (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) 0)
(+.f64 0 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) 1)
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(.f64 -1 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) -1)
(.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (-.f64 0 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))

Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))
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(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) -1)
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (*.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (*.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (-.f64 0 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (-.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))) 0))
(-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))))) 0)
(.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (*.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (*.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))
(.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (neg.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))) (neg.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))))
(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (-.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 (.f64 beta alpha) 1))) (+.f64 2 (+.f64 beta alpha))))) 0))
(-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))))) 0)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 1) alpha)
✓	11.3b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))

rewrite91.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational_best_oopsla_all_46_json_45_simplify-13`
1462×	`rational_best_oopsla_all_46_json_45_simplify-23`
1058×	`rational_best_oopsla_all_46_json-2`
1058×	`rational_best_oopsla_all_46_json-1`
1058×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	61	44
2	127	44
3	402	44
4	1859	44

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 beta 1) alpha)

Outputs

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simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational_best_oopsla_all_46_json_45_simplify-13`
1266×	`rational_best_oopsla_all_46_json_45_simplify-72`
864×	`rational_best_oopsla_all_46_json_45_simplify-23`
860×	`rational_best_oopsla_all_46_json_45_simplify-35`
804×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	278	4394
1	990	4348
2	4293	4348

Stop Event

1×	node limit

Counts

116 → 147

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (.f64 alpha (+.f64 3 alpha))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (*.f64 alpha (+.f64 3 alpha)))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (/.f64 1 (.f64 alpha (+.f64 3 alpha))))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (.f64 beta alpha)) (/.f64 1 alpha)) (+.f64 (/.f64 1 beta) (/.f64 3 (.f64 beta alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (/.f64 1 alpha)) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 beta alpha)))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (/.f64 1 alpha))) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 beta alpha)))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (+.f64 (/.f64 1 (.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) alpha))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 beta 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 beta 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (+.f64 0 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (+.f64 0 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))))
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))
(*.f64 (neg.f64 (/.f64 (+.f64 beta 1) alpha)) -1)
(*.f64 (neg.f64 (/.f64 (+.f64 beta 1) alpha)) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (+.f64 beta 1) alpha))
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (neg.f64 (/.f64 (+.f64 beta 1) alpha)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (+.f64 beta 1) alpha))
(neg.f64 (neg.f64 (/.f64 (+.f64 beta 1) alpha)))

Outputs
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1 (*.f64 alpha (+.f64 3 alpha)))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (.f64 alpha (+.f64 3 alpha))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (*.f64 alpha (+.f64 3 alpha)))))
(+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta)) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (/.f64 1 (.f64 alpha (+.f64 3 alpha))))))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))))))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 alpha))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (.f64 beta alpha)) (/.f64 1 alpha)) (+.f64 (/.f64 1 beta) (/.f64 3 (.f64 beta alpha))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 alpha beta))) (+.f64 (/.f64 1 beta) (/.f64 3 (.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 (.f64 alpha beta)) (+.f64 (/.f64 1 beta) (/.f64 3 (.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (/.f64 1 alpha)) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 beta alpha)))))
(+.f64 (/.f64 1 alpha) (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (.f64 alpha beta))))))
(+.f64 (/.f64 1 alpha) (-.f64 (neg.f64 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (.f64 alpha beta))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (/.f64 1 alpha))) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 beta alpha)))))
(+.f64 (+.f64 (/.f64 1 alpha) (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2)))) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (.f64 alpha beta)))))))
(+.f64 (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2)))) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (-.f64 (/.f64 1 alpha) (+.f64 1 (.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (.f64 alpha beta))))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 (.f64 alpha beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 alpha beta))) (/.f64 1 alpha)))
(+.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (.f64 alpha beta))) (/.f64 1 (.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 (.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 3 alpha) (.f64 alpha beta)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (+.f64 (/.f64 1 (.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (+.f64 (/.f64 1 (.f64 alpha beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 alpha beta))) (/.f64 1 alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 (/.f64 1 alpha) (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (.f64 alpha beta))) (/.f64 1 (.f64 alpha beta)))) (neg.f64 (/.f64 (*.f64 (+.f64 3 alpha) (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 2))))
(+.f64 (/.f64 1 (.f64 alpha beta)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 2))) (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 3 alpha) (*.f64 alpha beta))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (/.f64 1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 alpha beta))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 (/.f64 1 alpha) (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (/.f64 1 alpha) (.f64 -1 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 alpha beta))))))
(+.f64 (/.f64 1 (.f64 alpha beta)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 3 alpha) alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 3 alpha) (.f64 alpha beta)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 beta) (*.f64 alpha (+.f64 3 beta)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))))
(+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 beta 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta)) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta)) (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))) (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 beta 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta)) (+.f64 (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta)) (.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta)) (.f64 -1 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (pow.f64 alpha 4)))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (pow.f64 alpha 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 2))))))
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(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) -1)
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (/.f64 (+.f64 1 beta) alpha) (+.f64 3 (+.f64 alpha beta)))
(+.f64 (/.f64 (+.f64 beta 1) alpha) 0)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 0 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (/.f64 (+.f64 beta 1) alpha) 0)
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha))) 0))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 0 (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) 0))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) 0))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 0 (neg.f64 (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (*.f64 0 (neg.f64 (/.f64 (+.f64 beta 1) alpha))) (neg.f64 (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (.f64 0 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha)))) (.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha))) (neg.f64 (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (neg.f64 (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (.f64 0 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha)))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (+.f64 beta 1) alpha) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 -1 (neg.f64 (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (+.f64 0 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (+.f64 0 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (neg.f64 (/.f64 (+.f64 beta 1) alpha)) -1)
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (neg.f64 (/.f64 (+.f64 beta 1) alpha)) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (+.f64 beta 1) alpha))) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))) (neg.f64 (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha)))) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (neg.f64 (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 1 beta) alpha)

localize77.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))

✓

0.0b

(/.f64 (-.f64 alpha -1) (+.f64 2 alpha))

✓

0.1b

(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 68 to 43 computations (36.8% saved)

series15.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	alpha	@	inf	(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational_best_oopsla_all_46_json-2`
1568×	`rational_best_oopsla_all_46_json-1`
1568×	`rational_best_oopsla_all_46_json-4`
1568×	`rational_best_oopsla_all_46_json-3`
962×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	111
1	89	111
2	182	111
3	572	111
4	2697	111

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

(/.f64 (-.f64 alpha -1) (+.f64 2 alpha))

(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))

Outputs

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

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1572×	`rational_best_oopsla_all_46_json_45_simplify-23`
778×	`rational_best_oopsla_all_46_json_45_simplify-37`
750×	`rational_best_oopsla_all_46_json_45_simplify-49`
580×	`rational_best_oopsla_all_46_json_45_simplify-35`
490×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	13080
1	2153	12764
2	6784	12740

Stop Event

1×	node limit

Counts

156 → 228

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
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(/.f64 1 (pow.f64 alpha 2))
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(/.f64 1 (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
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1/2
(+.f64 1/2 (*.f64 1/4 alpha))
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1
(-.f64 1 (/.f64 1 alpha))
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1
(-.f64 1 (/.f64 1 alpha))
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(/.f64 1/2 (+.f64 beta 2))
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(/.f64 1 alpha)
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(/.f64 1 alpha)
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))))
(*.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))))
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(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) -1)
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))
(+.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) 0)
(+.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (*.f64 0 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(+.f64 0 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 0 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) 0)
(-.f64 0 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 -1 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 -1 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) 1)
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) -1)
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))
(neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))

Outputs
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 beta)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
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(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) -1)
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))

localize129.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
	2.6b	(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))
✓	15.1b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))))

Compiler

Compiled 281 to 166 computations (40.9% saved)

series11.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
1.0ms	alpha	@	-inf	(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
1.0ms	beta	@	-inf	(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
1.0ms	alpha	@	0	(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
1.0ms	beta	@	inf	(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))

rewrite149.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`rational_best_oopsla_all_46_json_45_simplify-23`
676×	`rational_best_oopsla_all_46_json-2`
676×	`rational_best_oopsla_all_46_json-1`
676×	`rational_best_oopsla_all_46_json-4`
676×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	333
1	130	333
2	372	333
3	1488	333
4	6720	333

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))))

(/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))

(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))

Outputs

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

simplify279.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational_best_oopsla_all_46_json_45_simplify-89`
1384×	`rational_best_oopsla_all_46_json_45_simplify-24`
1216×	`rational_best_oopsla_all_46_json_45_simplify-74`
1166×	`rational_best_oopsla_all_46_json_45_simplify-7`
836×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	615	29881
1	2212	29735

Stop Event

1×	node limit

Counts

163 → 241

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
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(/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))
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(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
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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
(/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))
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(+.f64 (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) alpha))
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(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 -1 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) -1)
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 -1 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))
(neg.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 -1 (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (+.f64 1 alpha) (*.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 beta 2) 2)
✓	0.1b	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
✓	15.2b	(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))

Compiler

Compiled 50 to 33 computations (34% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`rational_best_oopsla_all_46_json-2`
1284×	`rational_best_oopsla_all_46_json-1`
1284×	`rational_best_oopsla_all_46_json-4`
1284×	`rational_best_oopsla_all_46_json-3`
1204×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	77	81
2	155	81
3	488	81
4	2257	81

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
(pow.f64 (+.f64 beta 2) 2)

Outputs

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

simplify172.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational_best_oopsla_all_46_json_45_simplify-89`
1172×	`rational_best_oopsla_all_46_json_45_simplify-24`
1118×	`rational_best_oopsla_all_46_json_45_simplify-74`
964×	`rational_best_oopsla_all_46_json_45_simplify-35`
610×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	399	7732
1	1567	7632
2	6199	7632

Stop Event

1×	node limit

Counts

166 → 199

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2)))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (.f64 1/16 (pow.f64 beta 3))))
(+.f64 (.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 8 (/.f64 1 (pow.f64 beta 3)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 8 (/.f64 1 (pow.f64 beta 3)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 4 (.f64 4 (+.f64 3 alpha))))) (+.f64 (.f64 -1 (.f64 (+.f64 4 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 3 alpha)) 4)) (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 3 alpha)) 4)) (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 7 alpha) (+.f64 (.f64 (+.f64 7 alpha) (+.f64 1 (.f64 -1 (+.f64 7 alpha)))) (.f64 -1 (-.f64 (.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (.f64 (-.f64 (.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) 0)
(+.f64 0 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 1 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) 1)
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))
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(*.f64 -1 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))))))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) -1)
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 -1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))) (.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3))))
(neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 3)))))
(+.f64 (pow.f64 (+.f64 beta 2) 2) 0)
(+.f64 0 (pow.f64 (+.f64 beta 2) 2))
(-.f64 (pow.f64 (+.f64 beta 2) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (+.f64 beta 2) 2)))
(*.f64 1 (pow.f64 (+.f64 beta 2) 2))
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) -1)
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))
(.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(neg.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)))

Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2)))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (.f64 1/16 (pow.f64 beta 3))))
(+.f64 (.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(+.f64 1/4 (+.f64 (.f64 -3/64 (pow.f64 beta 4)) (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/64 (pow.f64 beta 4)) (*.f64 1/16 (pow.f64 beta 3)))))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (+.f64 (.f64 1/16 (pow.f64 beta 3)) (*.f64 -3/64 (pow.f64 beta 4)))))
(/.f64 1 beta)
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4
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(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(pow.f64 (+.f64 beta 2) 2)
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) -1)
(pow.f64 (+.f64 beta 2) 2)
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 beta 2) 2)
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 beta 2) 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))))
(pow.f64 (+.f64 beta 2) 2)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 beta 2) 2)
(/.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(pow.f64 (+.f64 beta 2) 2)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 beta 2) 2)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 beta 2) 2)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(pow.f64 (+.f64 beta 2) 2)
(neg.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 beta 2) 2)

eval10.5s (38.8%)

Compiler: Compiled 281811 to 180889 computations (35.8% saved)

prune1.1s (3.9%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	2399	13	2412
Fresh	3	8	11
Picked	1	0	1
Done	3	2	5
Total	2406	23	2429

Error

0.0b

Counts

2429 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	2.8b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	4.3b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
▶	33.2b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	33.0b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	26.2b	(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	30.8b	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
	14.9b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
▶	2.9b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	29.7b	(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
▶	34.2b	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
	60.0b	(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
	32.5b	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
	8.3b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
▶	35.0b	(/.f64 1 (pow.f64 beta 2))
	61.1b	(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
▶	62.4b	(/.f64 1 alpha)
	30.5b	(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
	31.5b	(/.f64 1/4 (+.f64 3 alpha))
	34.2b	(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
	19.6b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))
	47.2b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
	42.0b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))

Compiler

Compiled 1260 to 857 computations (32% saved)

localize174.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	1.7b	(.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))
	2.6b	(/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))
✓	2.6b	(/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))

Compiler

Compiled 515 to 273 computations (47% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	inf	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

rewrite168.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`rational_best_oopsla_all_46_json_45_simplify-13`
1148×	`rational_best_oopsla_all_46_json_45_simplify-37`
1072×	`rational_best_oopsla_all_46_json-2`
1072×	`rational_best_oopsla_all_46_json-1`
1072×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	369
1	210	165
2	658	165
3	2649	165

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

Inputs

(/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))

(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (*.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))))

(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (*.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (*.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Outputs

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

simplify276.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational_best_oopsla_all_46_json_45_simplify-23`
816×	`rational_best_oopsla_all_46_json_45_simplify-37`
766×	`rational_best_oopsla_all_46_json_45_simplify-35`
738×	`rational_best_oopsla_all_46_json_45_simplify-49`
686×	`rational_best_oopsla_all_46_json_45_simplify-82`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	771	34058
1	3031	33628

Stop Event

1×	node limit

Counts

318 → 346

Calls

Call 1

Inputs
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
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(/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2)))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) 0)
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) 0))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) 0))
(+.f64 0 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(+.f64 (.f64 0 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) 0)
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) 0))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) 0))
(-.f64 0 (.f64 -1 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))
(.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) 1)
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))
(.f64 -1 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))))

Outputs
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 4))))))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 4))))))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))
(-.f64 (+.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 alpha 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 2)))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))
(+.f64 (+.f64 1 (+.f64 alpha (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 alpha 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 2)))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 alpha 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 2)))) (/.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 3))))) (-.f64 (/.f64 1 beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(-.f64 (.f64 (.f64 alpha -1) -1) -1)
(+.f64 (.f64 (.f64 alpha -1) -1) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (-.f64 (.f64 (.f64 alpha -1) -1) -1) (.f64 -1 (/.f64 (-.f64 (.f64 (+.f64 1 alpha) -1) (.f64 (+.f64 alpha 2) (+.f64 (.f64 alpha -1) -1))) beta)))
(.f64 -1 (+.f64 (+.f64 -1 (.f64 alpha -1)) (/.f64 (-.f64 (+.f64 -1 (.f64 alpha -1)) (.f64 (+.f64 alpha 2) (+.f64 -1 (*.f64 alpha -1)))) beta)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (+.f64 1 alpha) -1) (.f64 (+.f64 alpha 2) (+.f64 (.f64 alpha -1) -1))) beta)) (+.f64 (-.f64 (.f64 (.f64 alpha -1) -1) -1) (/.f64 (.f64 (+.f64 alpha 2) (-.f64 (.f64 (+.f64 1 alpha) -1) (.f64 (+.f64 alpha 2) (+.f64 (.f64 alpha -1) -1)))) (pow.f64 beta 2))))
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(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (*.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (*.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))))
(.f64 -1 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (*.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (*.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 1 beta) (+.f64 alpha (.f64 alpha beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 (+.f64 1 beta) (.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 beta alpha)))))

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	0	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	0	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	inf	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`rational_best_oopsla_all_46_json_45_simplify-13`
1278×	`rational_best_oopsla_all_46_json_45_simplify-23`
942×	`rational_best_oopsla_all_46_json-2`
942×	`rational_best_oopsla_all_46_json-1`
942×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	53	25
2	109	25
3	354	25
4	1646	25

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 0 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (*.f64 (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) 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simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best_oopsla_all_46_json_45_simplify-49`
992×	`rational_best_oopsla_all_46_json_45_simplify-72`
746×	`rational_best_oopsla_all_46_json_45_simplify-108`
726×	`rational_best_oopsla_all_46_json_45_simplify-23`
542×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	190	2949
1	683	2905
2	3213	2905

Stop Event

1×	node limit

Counts

75 → 93

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 beta (+.f64 3 alpha)))
(-.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 beta (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))
(+.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 3)) (-.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (-.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 4))) (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (/.f64 beta (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))
(+.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (/.f64 beta (pow.f64 (+.f64 3 alpha) 3))) (-.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 beta (pow.f64 (+.f64 3 alpha) 3))) (-.f64 (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)) (neg.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (neg.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)) (neg.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 4)) (+.f64 (neg.f64 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (neg.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 5))))))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (neg.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 beta 3) 2)))))
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(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (-.f64 (/.f64 0 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (-.f64 0 (.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (-.f64 0 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(*.f64 -1 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))) (.f64 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))) (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))
(neg.f64 (neg.f64 (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 3 alpha)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 alpha) beta)
✓	0.0b	(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	2.6b	(/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 82 to 50 computations (39% saved)

series21.0ms (0.1%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

rewrite146.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`rational_best_oopsla_all_46_json_45_simplify-7`
996×	`rational_best_oopsla_all_46_json_45_simplify-108`
908×	`rational_best_oopsla_all_46_json_45_simplify-35`
588×	`rational_best_oopsla_all_46_json_45_simplify-80`
450×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	160
1	93	160
2	235	160
3	928	160
4	4745	160

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) beta)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (.f64 0 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (.f64 0 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))) (.f64 -1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha 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beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 1 (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))))))))
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alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha))) (.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 (+.f64 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simplify255.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational_best_oopsla_all_46_json_45_simplify-23`
1040×	`rational_best_oopsla_all_46_json_45_simplify-35`
900×	`rational_best_oopsla_all_46_json_45_simplify-37`
672×	`rational_best_oopsla_all_46_json_45_simplify-82`
594×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	26171
1	3120	24683

Stop Event

1×	node limit

Counts

317 → 453

Calls

Call 1

Inputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (/.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
beta
(-.f64 (+.f64 beta (/.f64 beta alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2))))) (/.f64 (.f64 beta (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2)))))) (/.f64 (.f64 beta (+.f64 beta 2)) alpha))
beta
(+.f64 beta (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) alpha)))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) alpha)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (*.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(/.f64 (*.f64 beta (+.f64 1 alpha)) (+.f64 2 alpha))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)) (.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha))))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha))))
(/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))))))
(/.f64 beta (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta))))))) (pow.f64 alpha 4))))) (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
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(/.f64 (.f64 beta (+.f64 1 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 beta (pow.f64 (+.f64 beta 2) 2))
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(/.f64 beta alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 beta alpha)) (/.f64 (.f64 beta (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 beta (.f64 beta (+.f64 4 (.f64 2 beta))))) (.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (/.f64 beta alpha))) (/.f64 (.f64 beta (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
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(/.f64 beta alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 beta alpha)) (.f64 2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 beta (.f64 2 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (.f64 2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 beta (.f64 2 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1 (.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 -2 (.f64 (-.f64 beta (.f64 2 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 beta 2))) (.f64 (-.f64 beta (.f64 2 (.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))) (.f64 2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (*.f64 beta (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))
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(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2))))))
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(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (pow.f64 beta 4))) (.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))))))))
beta
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 beta alpha)
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 beta alpha)
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
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(-.f64 (+.f64 (.f64 alpha (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))) (.f64 0 (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))))) (neg.f64 (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(-.f64 (+.f64 beta (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (*.f64 beta (neg.f64 alpha)))
(-.f64 (+.f64 beta (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (neg.f64 (*.f64 alpha beta)))
(-.f64 (+.f64 0 (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (*.f64 beta (-.f64 -1 alpha)))
(-.f64 (+.f64 (.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (.f64 (*.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))) (neg.f64 alpha)))
(-.f64 (+.f64 (.f64 alpha beta) (.f64 0 (*.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (neg.f64 beta))
(-.f64 (+.f64 (.f64 alpha (.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (*.f64 beta (neg.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))))
(-.f64 (+.f64 (.f64 (.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (*.f64 beta (neg.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))))
(-.f64 (+.f64 (.f64 (.f64 alpha (.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (*.f64 beta (neg.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(-.f64 (+.f64 (.f64 (.f64 alpha beta) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta)))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (*.f64 alpha beta))) (neg.f64 beta)))
(-.f64 (+.f64 (.f64 (.f64 alpha (.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta)))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (*.f64 beta (neg.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(-.f64 (+.f64 (.f64 0 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta)))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (*.f64 beta (-.f64 -1 alpha))))
(-.f64 (+.f64 (.f64 alpha (.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha)))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (neg.f64 (*.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha)))))
(-.f64 (+.f64 (.f64 alpha (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))) (.f64 0 (.f64 (+.f64 1 alpha) (/.f64 beta beta)))) (neg.f64 (.f64 beta (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(/.f64 (+.f64 beta (*.f64 alpha beta)) 1)
(/.f64 (+.f64 beta (*.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))
(/.f64 (+.f64 beta (*.f64 alpha beta)) (/.f64 beta beta))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (*.f64 alpha beta))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))) (*.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))))
(/.f64 (+.f64 beta (*.f64 alpha beta)) (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha))) (*.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha)))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (.f64 beta (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (*.f64 alpha beta)))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 (+.f64 1 alpha) (/.f64 beta beta)) (*.f64 (+.f64 1 alpha) (/.f64 beta beta))))
(neg.f64 (*.f64 beta (-.f64 -1 alpha)))

Outputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))))
beta
(-.f64 (+.f64 beta (/.f64 beta alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) alpha))
(+.f64 (/.f64 beta alpha) (-.f64 beta (/.f64 (*.f64 beta (+.f64 beta 2)) alpha)))
(-.f64 (+.f64 beta (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2))))) (/.f64 (.f64 beta (+.f64 beta 2)) alpha))
(+.f64 (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2)))) (-.f64 beta (/.f64 (.f64 beta (+.f64 beta 2)) alpha)))
(-.f64 (+.f64 beta (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2)))))) (/.f64 (.f64 beta (+.f64 beta 2)) alpha))
(+.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2))))) (-.f64 beta (/.f64 (.f64 beta (+.f64 beta 2)) alpha)))
(+.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))) (-.f64 beta (/.f64 (.f64 beta (+.f64 beta 2)) alpha)))
beta
(+.f64 beta (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) alpha)))
(+.f64 beta (.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (.f64 (*.f64 beta (+.f64 beta 2)) -1)) alpha)))
(+.f64 beta (.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (.f64 beta (+.f64 -2 (neg.f64 beta)))) alpha)))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (.f64 (.f64 beta (+.f64 beta 2)) -1)) alpha)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (.f64 (.f64 beta (+.f64 beta 2)) -1))) (pow.f64 alpha 2))))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (.f64 beta (+.f64 -2 (neg.f64 beta)))) alpha)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (.f64 beta (+.f64 -2 (neg.f64 beta))))) (pow.f64 alpha 2))))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) alpha)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (*.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (.f64 (.f64 beta (+.f64 beta 2)) -1)) alpha)) (+.f64 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (.f64 (.f64 beta (+.f64 beta 2)) -1))) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (neg.f64 beta) (.f64 (.f64 beta (+.f64 beta 2)) -1))) (pow.f64 alpha 3))))))
(+.f64 beta (+.f64 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (.f64 beta (+.f64 -2 (neg.f64 beta))))) (pow.f64 alpha 2)) (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (.f64 beta (+.f64 -2 (neg.f64 beta)))) alpha) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (neg.f64 beta) (.f64 beta (+.f64 -2 (neg.f64 beta))))) (pow.f64 alpha 3))))))
(/.f64 (*.f64 beta (+.f64 1 alpha)) (+.f64 2 alpha))
(/.f64 (*.f64 beta (+.f64 alpha 1)) (+.f64 2 alpha))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (+.f64 2 alpha))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)) (.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 (.f64 beta (+.f64 alpha 1)) (+.f64 2 alpha)) (.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (+.f64 2 alpha)) (.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 (.f64 beta (+.f64 alpha 1)) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)) (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)) (+.f64 2 alpha))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))
(+.f64 (/.f64 (.f64 beta (+.f64 alpha 1)) (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))
(+.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)) (+.f64 2 alpha)) (.f64 -1 (+.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 4) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))
(+.f64 1 alpha)
(+.f64 alpha 1)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))
(+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta))))
(+.f64 alpha (+.f64 1 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (+.f64 alpha (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (+.f64 (+.f64 alpha (/.f64 (.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))))))
(+.f64 1 alpha)
(+.f64 alpha 1)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))
(+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta))))
(+.f64 alpha (+.f64 1 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (+.f64 alpha (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)) alpha))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (+.f64 (+.f64 alpha (/.f64 (.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))))))
(/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
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(/.f64 (+.f64 beta (*.f64 beta alpha)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 1)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 1))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha))) (*.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 1 alpha)))))
(/.f64 (+.f64 beta (.f64 beta alpha)) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 beta (+.f64 alpha 1))) (*.f64 (+.f64 alpha 1) (/.f64 beta (+.f64 alpha 1)))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (.f64 beta (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(/.f64 (+.f64 beta (.f64 beta alpha)) (/.f64 (.f64 beta (.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)))) (.f64 beta (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 -1 alpha))))))
(/.f64 (+.f64 beta (.f64 beta alpha)) (/.f64 (.f64 beta (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 1)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 1)))) (.f64 beta (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 1)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 1))))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (*.f64 alpha beta)))))
(/.f64 (+.f64 beta (.f64 beta alpha)) (/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (+.f64 beta (.f64 beta alpha))) (/.f64 (+.f64 beta (.f64 beta alpha)) (+.f64 beta (*.f64 beta alpha)))))
(/.f64 (+.f64 beta (.f64 alpha beta)) (/.f64 (.f64 (+.f64 1 alpha) (/.f64 beta beta)) (*.f64 (+.f64 1 alpha) (/.f64 beta beta))))
(/.f64 (+.f64 beta (.f64 beta alpha)) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 beta beta)) (*.f64 (+.f64 alpha 1) (/.f64 beta beta))))
(neg.f64 (*.f64 beta (-.f64 -1 alpha)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (pow.f64 beta 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2086×	`rational_best_oopsla_all_46_json-2`
2086×	`rational_best_oopsla_all_46_json-1`
2086×	`rational_best_oopsla_all_46_json-4`
2086×	`rational_best_oopsla_all_46_json-3`
768×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	36	13
2	70	13
3	209	13
4	973	13
5	5598	13

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 beta 2))

Outputs

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

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational_best_oopsla_all_46_json_45_simplify-89`
1406×	`rational_best_oopsla_all_46_json_45_simplify-74`
1152×	`rational_best_oopsla_all_46_json_45_simplify-49`
1008×	`rational_best_oopsla_all_46_json_45_simplify-24`
974×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	728
1	460	728
2	2626	728

Stop Event

1×	node limit

Counts

56 → 57

Calls

Call 1

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

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

eval3.0s (11.3%)

Compiler: Compiled 212127 to 124444 computations (41.3% saved)

prune1.1s (4%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1785	8	1793
Fresh	3	13	16
Picked	1	0	1
Done	1	5	6
Total	1790	26	1816

Error

0.0b

Counts

1816 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	2.8b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
▶	4.3b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	33.2b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	46.5b	(/.f64 (/.f64 (/.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	34.1b	(/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
▶	33.0b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	26.2b	(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
▶	30.8b	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
	14.9b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	6.5b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	29.7b	(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	34.2b	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
▶	32.5b	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
	33.6b	(/.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -2 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (+.f64 alpha beta) 3))
	8.3b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	38.2b	(/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	61.1b	(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
	34.4b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	60.1b	(/.f64 1 (*.f64 beta alpha))
✓	62.4b	(/.f64 1 alpha)
	30.5b	(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
▶	31.5b	(/.f64 1/4 (+.f64 3 alpha))
	34.2b	(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
	46.2b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))
	19.6b	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))

Compiler

Compiled 1237 to 842 computations (31.9% saved)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 65 to 41 computations (36.9% saved)

series45.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	beta	@	inf	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
5.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`rational_best_oopsla_all_46_json-2`
1466×	`rational_best_oopsla_all_46_json-1`
1466×	`rational_best_oopsla_all_46_json-4`
1466×	`rational_best_oopsla_all_46_json-3`
898×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	85	92
2	176	92
3	546	92
4	2536	92

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 0 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 1 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 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simplify214.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational_best_oopsla_all_46_json_45_simplify-89`
1374×	`rational_best_oopsla_all_46_json_45_simplify-24`
1212×	`rational_best_oopsla_all_46_json_45_simplify-74`
1086×	`rational_best_oopsla_all_46_json_45_simplify-23`
684×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	12562
1	1809	12118
2	7693	12118

Stop Event

1×	node limit

Counts

112 → 178

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
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(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 -1 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 -1 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) -1)
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (neg.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
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(+.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (neg.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))))) (neg.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 6) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 7 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))))))
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(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(-.f64 0 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) 1)
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 -1 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 -1 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) -1)
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))
(neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 2 (+.f64 alpha beta)))

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/4 (+.f64 3 alpha))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/.f64 1/4 (+.f64 3 alpha))
0.0ms	alpha	@	0	(/.f64 1/4 (+.f64 3 alpha))
0.0ms	alpha	@	-inf	(/.f64 1/4 (+.f64 3 alpha))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`rational_best_oopsla_all_46_json_45_simplify-35`
844×	`rational_best_oopsla_all_46_json_45_simplify-37`
770×	`rational_best_oopsla_all_46_json_45_simplify-23`
746×	`rational_best_oopsla_all_46_json_45_simplify-13`
552×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	76	13
3	220	13
4	990	13
5	5804	13

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 1/4 (+.f64 3 alpha))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 0 (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 0 (*.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha))))) (*.f64 (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))) (*.f64 (*.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1174×	`rational_best_oopsla_all_46_json_45_simplify-49`
1034×	`rational_best_oopsla_all_46_json_45_simplify-72`
686×	`rational_best_oopsla_all_46_json_45_simplify-23`
516×	`rational_best_oopsla_all_46_json_45_simplify-10`
508×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1176
1	560	1176
2	2952	1176
3	7470	1176

Stop Event

1×	node limit

Counts

66 → 70

Calls

Call 1

Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (.f64 1/108 (pow.f64 alpha 2))))
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(neg.f64 (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))

Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (.f64 1/108 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/36 alpha) (+.f64 1/12 (.f64 1/108 (pow.f64 alpha 2))))
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (+.f64 (.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3)))))
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(*.f64 -1 (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (/.f64 1/4 (+.f64 3 alpha)))
(/.f64 1/4 (+.f64 alpha 3))
(*.f64 (/.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (/.f64 1/4 (+.f64 3 alpha)))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 1/4 (+.f64 3 alpha)))) (/.f64 1/4 (+.f64 3 alpha)))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))
(/.f64 1/4 (+.f64 alpha 3))
(*.f64 (neg.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (neg.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (-.f64 (.f64 (.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha)))) (.f64 0 (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha)))))))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (neg.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (-.f64 (.f64 (.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha)))) (.f64 0 (*.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha)))))))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1/4 (+.f64 3 alpha)))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1/4 (+.f64 3 alpha)))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 -1 (/.f64 1/4 (+.f64 3 alpha)))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))
(/.f64 1/4 (+.f64 alpha 3))
(.f64 (.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))) (neg.f64 (/.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1/4 (+.f64 3 alpha))))) (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))
(/.f64 1/4 (+.f64 alpha 3))
(neg.f64 (neg.f64 (/.f64 1/4 (+.f64 3 alpha))))
(/.f64 1/4 (+.f64 alpha 3))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha -1) beta)
✓	0.2b	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
0.0ms	beta	@	inf	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))

rewrite248.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational_best_oopsla_all_46_json_45_simplify-13`
1462×	`rational_best_oopsla_all_46_json_45_simplify-23`
1058×	`rational_best_oopsla_all_46_json-2`
1058×	`rational_best_oopsla_all_46_json-1`
1058×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	60	44
2	127	44
3	403	44
4	1860	44

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 alpha -1) beta)

Outputs

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(neg.f64 (/.f64 (+.f64 alpha 1) beta)) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) 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simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational_best_oopsla_all_46_json_45_simplify-13`
1254×	`rational_best_oopsla_all_46_json_45_simplify-72`
870×	`rational_best_oopsla_all_46_json_45_simplify-23`
870×	`rational_best_oopsla_all_46_json_45_simplify-35`
802×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	284	4550
1	996	4502
2	4280	4502

Stop Event

1×	node limit

Counts

128 → 135

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 beta alpha))) (+.f64 (/.f64 3 (.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 (.f64 beta alpha)) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 3 (.f64 beta alpha)) (/.f64 1 alpha))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (*.f64 beta alpha))))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (.f64 beta alpha))))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 beta 3) (-.f64 -1 (-.f64 (.f64 3 (/.f64 1 beta)) (/.f64 1 beta)))) (pow.f64 alpha 2))) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (.f64 beta alpha))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(+.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (*.f64 beta alpha))))))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (.f64 beta alpha)))))))
(+.f64 (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (.f64 (+.f64 beta 3) (-.f64 -1 (-.f64 (.f64 3 (/.f64 1 beta)) (/.f64 1 beta)))) (pow.f64 alpha 2)))) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 -1 (-.f64 (.f64 3 (/.f64 1 beta)) (/.f64 1 beta)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (.f64 beta alpha))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (/.f64 1 (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 beta 3) (.f64 beta alpha)))))
(+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) (.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (.f64 -1 (+.f64 (/.f64 (+.f64 beta 3) (.f64 beta alpha)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 beta alpha))) (.f64 -1 (+.f64 (/.f64 (+.f64 beta 3) (.f64 beta alpha)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) beta)) (/.f64 1 beta))) (pow.f64 alpha 3)) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 2))) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 3))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (+.f64 (/.f64 (+.f64 beta 3) (.f64 beta alpha)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 3)))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 beta alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 (+.f64 beta 3) (.f64 beta alpha)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) beta)))) (pow.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (neg.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (.f64 beta (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (neg.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 beta (+.f64 3 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 beta (+.f64 3 alpha))) (+.f64 (neg.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (/.f64 alpha (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (+.f64 (neg.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (neg.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))) (neg.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5)))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))) (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5)))))
(+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))) (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 0)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 beta alpha)))
(+.f64 0 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 beta alpha)))
(-.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 0)
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(/.f64 (+.f64 1 alpha) beta)
(-.f64 0 (neg.f64 (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (*.f64 0 (neg.f64 (/.f64 (+.f64 alpha 1) beta))) (neg.f64 (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (.f64 0 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta)))) (.f64 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta))) (neg.f64 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (neg.f64 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (.f64 0 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))) (.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 -1 (neg.f64 (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta)))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (+.f64 alpha 1) beta) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 1 (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (+.f64 0 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (+.f64 0 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) beta)) -1)
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) beta)) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (+.f64 alpha 1) beta))) (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) (neg.f64 (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (/.f64 (+.f64 alpha 1) beta)))) (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)))) (/.f64 (+.f64 alpha 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha 1) beta)))
(/.f64 (+.f64 1 alpha) beta)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
✓	0.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2)))
✓	0.2b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	1.7b	(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)

Compiler

Compiled 150 to 90 computations (40% saved)

series17.0ms (0.1%)

Counts

4 → 81

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	-inf	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	beta	@	0	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

rewrite166.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`rational_best_oopsla_all_46_json_45_simplify-37`
700×	`rational_best_oopsla_all_46_json_45_simplify-23`
674×	`rational_best_oopsla_all_46_json_45_simplify-10`
672×	`rational_best_oopsla_all_46_json_45_simplify-36`
656×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	262
1	134	262
2	371	262
3	1469	262
4	6830	262

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 1 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)) (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (neg.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))))
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alpha 2)) beta))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 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simplify299.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best_oopsla_all_46_json_45_simplify-37`
1126×	`rational_best_oopsla_all_46_json_45_simplify-35`
1032×	`rational_best_oopsla_all_46_json_45_simplify-82`
630×	`rational_best_oopsla_all_46_json_45_simplify-10`
486×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	814	32463
1	2805	31865
2	7579	31865

Stop Event

1×	node limit

Counts

255 → 350

Calls

Call 1

Inputs
(/.f64 2 beta)
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 3 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(/.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))
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(/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) -1)
(neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))

Outputs
(/.f64 2 beta)
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 3 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (.f64 3 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) beta)))
(/.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (.f64 (+.f64 2 alpha) (*.f64 beta (+.f64 3 alpha))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (-.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (.f64 beta (+.f64 3 alpha)))) (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (.f64 beta (+.f64 3 alpha)))))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 beta (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))) (-.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (.f64 beta (+.f64 3 alpha)))) (+.f64 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (-.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (.f64 beta (+.f64 3 alpha)))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))))) (-.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (.f64 beta (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (.f64 beta (+.f64 3 alpha)))) (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))))))) (-.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (+.f64 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 2)))) (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (-.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3)))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))))
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(.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
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(neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta) (-.f64 -1 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) -1)
(neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta) (-.f64 -1 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) (neg.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta) (-.f64 -1 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))))) (neg.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))))))
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(.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))
(.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))))
(.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))))
(.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 1 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(.f64 (.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))
(.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))))
(.f64 (neg.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta) (-.f64 -1 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))))) (neg.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))))))
(.f64 (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))) (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))))
(/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) 1)
(+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (/.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (/.f64 (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))) (+.f64 1 (-.f64 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta))))))
(/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))) (/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 1 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))))))
(/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (/.f64 (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))) (/.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))) (+.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))))))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) -1)
(neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta) (-.f64 -1 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))
(neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (-.f64 -1 (+.f64 alpha (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))
(neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta) (-.f64 -1 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	inf	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
0.0ms	alpha	@	0	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
0.0ms	alpha	@	-inf	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
0.0ms	beta	@	0	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
0.0ms	alpha	@	inf	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational_best_oopsla_all_46_json_45_simplify-23`
1090×	`rational_best_oopsla_all_46_json_45_simplify-13`
1090×	`rational_best_oopsla_all_46_json_45_simplify-37`
760×	`rational_best_oopsla_all_46_json_45_simplify-87`
750×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	48	19
2	99	19
3	302	19
4	1380	19

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))

Outputs

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simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational_best_oopsla_all_46_json_45_simplify-89`
1404×	`rational_best_oopsla_all_46_json_45_simplify-74`
1162×	`rational_best_oopsla_all_46_json_45_simplify-49`
1008×	`rational_best_oopsla_all_46_json_45_simplify-24`
972×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1610
1	468	1610
2	2634	1610

Stop Event

1×	node limit

Counts

80 → 60

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) 0)
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(+.f64 0 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(+.f64 (.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) 0)
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 0 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(-.f64 0 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(-.f64 (.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) 1)
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(*.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (+.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) -1)
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 -1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (-.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (-.f64 (/.f64 0 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (-.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(.f64 (neg.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))

Outputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) 0)
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 0 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) 0)
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 0 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) 0))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 0 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) 1)
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (+.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) -1)
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 -1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (-.f64 0 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (-.f64 (/.f64 0 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (-.f64 0 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))) (.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))) (/.f64 (+.f64 alpha 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))

eval758.0ms (2.8%)

Compiler: Compiled 49395 to 35689 computations (27.7% saved)

prune176.0ms (0.7%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	783	10	793
Fresh	7	9	16
Picked	0	1	1
Done	3	6	9
Total	793	26	819

Error

0.0b

Counts

819 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	4.3b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	33.2b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	46.5b	(/.f64 (/.f64 (/.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	31.3b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	26.2b	(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
✓	30.8b	(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
	33.0b	(/.f64 (/.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (-.f64 (+.f64 alpha (/.f64 1 beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	14.9b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
	43.7b	(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
✓	34.2b	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
✓	32.5b	(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
	35.0b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	30.8b	(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
	8.3b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	38.2b	(/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	61.1b	(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
	34.4b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	60.1b	(/.f64 1 (*.f64 beta alpha))
	60.3b	(/.f64 1 beta)
	30.6b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	30.5b	(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
✓	31.5b	(/.f64 1/4 (+.f64 3 alpha))
	31.7b	(+.f64 1/12 (*.f64 -1/36 alpha))
	46.3b	(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))))
	31.9b	1/12

Compiler

Compiled 418 to 303 computations (27.5% saved)

regimes216.0ms (0.8%)

Counts

49 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (-.f64 (+.f64 alpha (/.f64 1 beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta)))) (.f64 (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 (.f64 alpha beta) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (pow.f64 beta 2))
(/.f64 (-.f64 alpha -1) (pow.f64 beta 2))
(/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -2 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (+.f64 alpha beta) 3))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))

Outputs

(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))

(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))

Calls

3 calls:

131.0ms

alpha

40.0ms

beta

19.0ms

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Results

Error	Segments	Branch
0.1b	2	`alpha`
0.1b	2	`beta`
0.1b	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))`

Compiler

Compiled 1384 to 853 computations (38.4% saved)

bsearch13.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	7.546350724831513e+55	3.2333841023389593e+56

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 502 to 323 computations (35.7% saved)

regimes120.0ms (0.4%)

Counts

34 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (-.f64 (+.f64 alpha (/.f64 1 beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta)))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))

Outputs

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))

Calls

3 calls:

63.0ms

beta

29.0ms

alpha

16.0ms

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Results

Error	Segments	Branch
0.1b	2	`alpha`
0.1b	2	`beta`
0.1b	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))`

Compiler

Compiled 735 to 450 computations (38.8% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	1650483427728277800.0	15837922508583145000.0

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 88 to 58 computations (34.1% saved)

regimes54.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Outputs

(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Calls

2 calls:

22.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
0.9b	2	`alpha`
0.7b	2	`beta`

Compiler

Compiled 289 to 178 computations (38.4% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.027667305799965437	101.76018714237092

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 458 to 324 computations (29.3% saved)

regimes97.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Outputs

(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Calls

2 calls:

70.0ms	beta
22.0ms	alpha

Results

Error	Segments	Branch
0.9b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 262 to 162 computations (38.2% saved)

bsearch55.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	109254178356.9365	22019222993984.836

Results

53.0ms

112×

body

256

valid

Compiler

Compiled 322 to 231 computations (28.3% saved)

regimes43.0ms (0.2%)

Counts

20 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Outputs
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Calls

2 calls:

19.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
17.5b	2	`alpha`
0.9b	2	`beta`

Compiler

Compiled 180 to 113 computations (37.2% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.027667305799965437	101.76018714237092

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 266 to 196 computations (26.3% saved)

regimes39.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))

Outputs
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3))

Calls

2 calls:

18.0ms	alpha
17.0ms	beta

Results

Error	Segments	Branch
17.9b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 148 to 94 computations (36.5% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.027667305799965437	101.76018714237092

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 250 to 180 computations (28% saved)

regimes32.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))

Outputs
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3))

Calls

2 calls:

15.0ms	beta
13.0ms	alpha

Results

Error	Segments	Branch
17.9b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 109 to 70 computations (35.8% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.027667305799965437	101.76018714237092

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 234 to 172 computations (26.5% saved)

regimes38.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))

Outputs
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))

Calls

2 calls:

20.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
18.4b	3	`alpha`
4.5b	2	`beta`

Compiler

Compiled 98 to 64 computations (34.7% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.027667305799965437	101.76018714237092

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes52.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3))

Outputs
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))

Calls

2 calls:

12.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
21.4b	2	`alpha`
4.6b	2	`beta`

Compiler

Compiled 69 to 49 computations (29% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.027667305799965437	101.76018714237092

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 202 to 156 computations (22.8% saved)

regimes19.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))

Outputs
(/.f64 1/4 (+.f64 (+.f64 alpha beta) 3))
(/.f64 1 (*.f64 beta alpha))

Calls

2 calls:

9.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
28.4b	2	`alpha`
28.7b	2	`beta`

Compiler

Compiled 37 to 27 computations (27% saved)

bsearch73.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	5139987789941994.0	2.8257129637158976e+24

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes21.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))

Outputs
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta alpha))

Calls

2 calls:

11.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
29.2b	2	`alpha`
29.1b	2	`beta`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.2095387236309549e+138	2.9445918365612435e+139

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 154 to 119 computations (22.7% saved)

regimes9.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 (+.f64 3 alpha))

Outputs
(/.f64 1/4 (+.f64 3 alpha))

Calls

2 calls:

4.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
31.5b	1	`alpha`
31.5b	1	`beta`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes12.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))

Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 beta)

Calls

2 calls:

7.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
31.7b	1	`alpha`
30.6b	2	`beta`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.027667305799965437	101.76018714237092

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 154 to 124 computations (19.5% saved)

regimes8.0ms (0%)

Accuracy

Total -30.6b remaining (-95.7%)

Threshold costs -30.6b (-95.7%)

Counts

3 → 1

Calls

Call 1

Inputs
1/12
(/.f64 1 alpha)
(/.f64 1 beta)

Outputs
1/12

Calls

2 calls:

4.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
31.9b	1	`alpha`
31.9b	1	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1052

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 beta 250000000000000012086673028888414764382098711472628563968) (/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2000000000000000000) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 5404319552844595/2251799813685248) (/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 22000000000000) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 1 (*.f64 beta (+.f64 beta 3))))
(if (<=.f64 alpha 580000000000000025165824) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 1 (*.f64 beta alpha)))
(if (<=.f64 beta 26500000000000002522941327939552038472944103090457309502088013206559843894439870067930512954913140999097687976072756661812215064365000294400) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (*.f64 beta alpha)))
(/.f64 1/4 (+.f64 3 alpha))
(if (<=.f64 beta 15/2) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 beta))
1/12

Outputs
(if (<=.f64 beta 250000000000000012086673028888414764382098711472628563968) (/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (+.f64 (*.f64 alpha beta) 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2000000000000000000) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 5404319552844595/2251799813685248) (/.f64 (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 2 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 22000000000000) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 alpha -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 (-.f64 alpha -1) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 1 (*.f64 beta (+.f64 beta 3))))
(if (<=.f64 alpha 580000000000000025165824) (/.f64 1/4 (+.f64 (+.f64 alpha beta) 3)) (/.f64 1 (*.f64 beta alpha)))
(if (<=.f64 beta 26500000000000002522941327939552038472944103090457309502088013206559843894439870067930512954913140999097687976072756661812215064365000294400) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (*.f64 beta alpha)))
(/.f64 1/4 (+.f64 3 alpha))
(if (<=.f64 beta 15/2) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 beta))
1/12

Compiler

Compiled 408 to 274 computations (32.8% saved)

soundness370.0ms (1.4%)

Algorithm

3×	egg-herbie

Rules

1420×	`rational_best_oopsla_all_46_json_45_simplify-23`
1322×	`rational_best_oopsla_all_46_json_45_simplify-37`
1228×	`rational_best_oopsla_all_46_json_45_simplify-35`
1098×	`rational_best_oopsla_all_46_json_45_simplify-49`
1098×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	29	79
2	74	79
3	191	79
4	592	79
5	2594	79
6	5409	79
0	16	85
1	29	79
2	74	79
3	191	79
4	592	79
5	2594	79
6	5409	79
0	862	25751
1	3299	25157

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1133 to 645 computations (43.1% saved)

end152.0ms (0.6%)

Compiler: Compiled 566 to 348 computations (38.5% saved)