Details

analyze37.0ms (0.4%)

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 22 to 16 computations (27.3% saved)

sample2.3s (24.5%)

Results

1.7s	6503×	body	256	valid
303.0ms	1045×	body	1024	valid
205.0ms	609×	body	512	valid
52.0ms	99×	body	2048	valid

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

16×	`rational_best.json-simplify-1`
4×	`rational_best.json-simplify-16`
4×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	25	74
2	29	74
3	33	74
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best.json-simplify-1`
4×	`rational_best.json-simplify-43`
2×	`rational_best.json-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	21	37
3	25	37

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 41 to 27 computations (34.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

18.7b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	1.6b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 50 to 28 computations (44% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational_best.json-simplify-57`
590×	`rational_best.json-simplify-1`
554×	`rational_best.json-simplify-77`
548×	`rational_best.json-5`
546×	`rational_best.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	93	56
2	298	56
3	1197	56
4	5097	56

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

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

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational_best.json-simplify-129`
974×	`rational_best.json-simplify-80`
902×	`rational_best.json-simplify-78`
872×	`rational_best.json-simplify-94`
804×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	318	5920
1	621	5740
2	1407	5732
3	3975	5702

Stop Event

1×	node limit

Counts

100 → 211

Calls

Call 1

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

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

eval254.0ms (2.7%)

Compiler: Compiled 8794 to 6245 computations (29% saved)

prune41.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	203	8	211
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	9	212

Error

Counts

212 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	45.1b	(/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
▶	32.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
▶	19.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	46.5b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
	45.1b	(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
▶	41.5b	(/.f64 2 2)

Compiler

Compiled 263 to 213 computations (19% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational_best.json-5`
1626×	`rational_best.json-2`
1626×	`rational_best.json-3`
1626×	`rational_best.json-1`
1626×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	66	32
2	199	32
3	782	32
4	3284	32

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify225.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational_best.json-simplify-2`
1136×	`rational_best.json-simplify-132`
698×	`rational_best.json-simplify-44`
562×	`rational_best.json-simplify-24`
548×	`rational_best.json-simplify-29`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1511
1	211	1511
2	446	1511
3	1589	1511
4	3577	1511
5	7073	1511

Stop Event

1×	node limit

Counts

71 → 78

Calls

Call 1

Inputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 0 (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 beta (+.f64 beta 2)) 0)
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 1 (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 1 (/.f64 beta (+.f64 beta 2))))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2))))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))))
(.f64 (.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (/.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(.f64 (/.f64 (/.f64 1 (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(-.f64 (/.f64 beta (+.f64 beta 2)) -1)
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 0)
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(.f64 (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(*.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (*.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))))
(.f64 (.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (/.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (*.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(.f64 (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (*.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))) (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(.f64 (/.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (*.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) -2) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/2 beta) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3))) (+.f64 (.f64 1/2 beta) (.f64 -1/16 (pow.f64 beta 4))))
(+.f64 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 4))))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (+.f64 (.f64 1/2 beta) (.f64 -1/16 (pow.f64 beta 4)))))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 -1/16 (pow.f64 beta 4)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/2 beta) 1))
(+.f64 (.f64 1/2 beta) (+.f64 1 (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) 1))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3))) (+.f64 (*.f64 1/2 beta) 1))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/2 beta) (*.f64 1/8 (pow.f64 beta 3)))) 1)
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) 1)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(+.f64 0 (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 1 (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (/.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) (/.f64 1 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 (/.f64 1 (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (+.f64 beta 2)) -1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 0)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (*.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (/.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (*.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (*.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))) (/.f64 1 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))) (.f64 (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (*.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) (/.f64 (-.f64 -1 (/.f64 beta (+.f64 beta 2))) (-.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) -2) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.6b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational_best.json-5`
1612×	`rational_best.json-2`
1612×	`rational_best.json-3`
1612×	`rational_best.json-1`
1612×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	63	32
2	191	32
3	774	32
4	3259	32

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1720×	`rational_best.json-simplify-129`
1338×	`rational_best.json-simplify-80`
1270×	`rational_best.json-simplify-78`
1234×	`rational_best.json-simplify-94`
1072×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	141	1869
1	242	1745
2	762	1745
3	3701	1745

Stop Event

1×	node limit

Counts

77 → 85

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0)
(+.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 1 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)
(.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
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Outputs
1
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(.f64 (/.f64 1 (/.f64 alpha (+.f64 alpha 2))) (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (.f64 (/.f64 alpha (+.f64 alpha 2)) (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))) (/.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 (/.f64 1 (/.f64 alpha (+.f64 alpha 2))) (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))) (.f64 (/.f64 alpha (+.f64 alpha 2)) (.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))) (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))) (*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(/.f64 alpha (+.f64 alpha 2))

localize24.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 50 to 38 computations (24% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`rational_best.json-2`
1856×	`rational_best.json-3`
1856×	`rational_best.json-1`
1856×	`rational_best.json-5`
1854×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	67	19
2	221	19
3	906	19
4	3776	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best.json-simplify-80`
1020×	`rational_best.json-simplify-129`
976×	`rational_best.json-simplify-78`
924×	`rational_best.json-simplify-2`
908×	`rational_best.json-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	809
1	94	809
2	191	809
3	835	809
4	1956	809
5	4131	809

Stop Event

1×	node limit

Counts

41 → 26

Calls

Call 1

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

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

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))))
✓	3.8b	(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
✓	3.9b	(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
✓	9.3b	(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))

Compiler

Compiled 165 to 116 computations (29.7% saved)

series52.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
42.0ms	alpha	@	0	(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
2.0ms	alpha	@	0	(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))))
1.0ms	alpha	@	0	(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))
1.0ms	beta	@	0	(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))
1.0ms	alpha	@	inf	(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`rational_best.json-2`
1082×	`rational_best.json-3`
1082×	`rational_best.json-1`
1078×	`rational_best.json-5`
1076×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	198
1	180	198
2	595	198
3	2430	198

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

Outputs
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simplify274.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

982×	`rational_best.json-simplify-132`
964×	`rational_best.json-simplify-2`
730×	`rational_best.json-simplify-24`
710×	`rational_best.json-simplify-29`
602×	`rational_best.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	9260
1	425	9126
2	1281	9108
3	3247	9108
4	6583	9108

Stop Event

1×	node limit

Counts

174 → 160

Calls

Call 1

Inputs
(*.f64 2 (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2))))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
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(.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))) (.f64 (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))))
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(.f64 (/.f64 (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))) (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (-.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) -1)
(/.f64 (.f64 2 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) 2)
(/.f64 (.f64 (-.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) 2) -2)
(pow.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(neg.f64 (-.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) 0)
(.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) 1)
(.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))))
(.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 1 (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))))
(.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(.f64 (/.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))) (.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))))
(.f64 (/.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(.f64 (/.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) 1)
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))
(/.f64 (.f64 2 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) 2)
(pow.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) 1)

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

eval412.0ms (4.4%)

Compiler: Compiled 11927 to 8979 computations (24.7% saved)

prune216.0ms (2.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	342	7	349
Fresh	2	1	3
Picked	1	0	1
Done	1	4	5
Total	346	12	358

Error

Counts

358 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	46.4b	(/.f64 (/.f64 2 alpha) 2)
	47.3b	(/.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	32.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	33.7b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
✓	19.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	35.0b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	45.1b	(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 2)
▶	44.5b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
✓	41.5b	(/.f64 2 2)
▶	32.8b	(/.f64 1 2)

Compiler

Compiled 242 to 202 computations (16.5% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 alpha beta))

Compiler

Compiled 37 to 21 computations (43.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`rational_best.json-2`
1590×	`rational_best.json-3`
1590×	`rational_best.json-1`
1590×	`rational_best.json-5`
1588×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	193	13
3	783	13
4	3236	13

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(*.f64 2 (/.f64 alpha beta))

Outputs

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

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2082×	`rational_best.json-simplify-80`
1484×	`rational_best.json-simplify-82`
1404×	`rational_best.json-simplify-74`
1276×	`rational_best.json-simplify-47`
1168×	`rational_best.json-simplify-83`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	134
1	28	134
2	53	134
3	112	134
4	296	134
5	1149	134
6	2055	134
7	3687	134
8	4924	134
9	6962	134
10	7822	134
11	7918	134

Stop Event

1×	node limit

Counts

8 → 16

Calls

Call 1

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

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

localize143.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
✓	0.0b	(pow.f64 (+.f64 2 beta) 2)
✓	2.8b	(+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
✓	3.9b	(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))

Compiler

Compiled 140 to 95 computations (32.1% saved)

series8.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	-inf	(+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
0.0ms	beta	@	inf	(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
0.0ms	alpha	@	0	(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
0.0ms	beta	@	-inf	(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
0.0ms	alpha	@	inf	(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))

rewrite182.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`rational_best.json-2`
928×	`rational_best.json-3`
928×	`rational_best.json-1`
928×	`rational_best.json-5`
926×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	152
1	160	152
2	507	152
3	2065	152

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

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

simplify210.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

972×	`rational_best.json-simplify-132`
890×	`rational_best.json-simplify-2`
708×	`rational_best.json-simplify-24`
696×	`rational_best.json-simplify-41`
684×	`rational_best.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	6294
1	342	6264
2	1132	6264
3	2888	6264
4	5984	6264

Stop Event

1×	node limit

Counts

156 → 126

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(+.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(.f64 -2 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
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 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) 0)
(+.f64 0 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))
(-.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) 1)
(.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))))
(.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) -1)
(.f64 1 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))
(.f64 -1 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (/.f64 1 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))) (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))) (.f64 (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 1 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)))) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(pow.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) 1)
(neg.f64 (neg.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 0)
(.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))
(.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 1)
(.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))))
(.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))))
(.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (/.f64 1 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))))
(.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))
(.f64 (/.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))))
(.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))))
(.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))) (.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))))
(.f64 (/.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))))
(.f64 (/.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (/.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 1)
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))))
(/.f64 (.f64 2 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) 2)
(pow.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 1)
(+.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 (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 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 1 (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 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) 2))
(.f64 (pow.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) 2) (/.f64 1 (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 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) 2)) (.f64 (pow.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) 2) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) 2)))
(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) 2))
(.f64 (/.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 (+.f64 beta 2) (+.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 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) 2)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 0)
(*.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1)
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 1 (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(.f64 (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(.f64 (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (.f64 (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1)
(/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(/.f64 (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) 2)
(pow.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1)

Outputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
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(.f64 (/.f64 (.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) (*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))) 2)
(pow.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))

eval127.0ms (1.4%)

Compiler: Compiled 5480 to 3972 computations (27.5% saved)

prune31.0ms (0.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	3	3
Picked	1	0	1
Done	0	8	8
Total	142	12	154

Error

Counts

154 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	46.4b	(/.f64 (/.f64 2 alpha) 2)
▶	47.3b	(/.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	32.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	33.7b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
✓	19.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	35.0b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	43.8b	(/.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 2)
✓	44.5b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
✓	41.5b	(/.f64 2 2)
✓	32.8b	(/.f64 1 2)

Compiler

Compiled 132 to 111 computations (15.9% saved)

localize115.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
✓	0.4b	(/.f64 4 (pow.f64 alpha 2))
✓	1.9b	(+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha))))

Compiler

Compiled 77 to 51 computations (33.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite123.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational_best.json-simplify-44`
696×	`rational_best.json-2`
696×	`rational_best.json-3`
696×	`rational_best.json-1`
696×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	132	60
2	402	60
3	1580	60
4	6772	60

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify177.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

824×	`rational_best.json-simplify-80`
760×	`rational_best.json-simplify-78`
738×	`rational_best.json-simplify-24`
738×	`rational_best.json-simplify-41`
732×	`rational_best.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	2340
1	194	2332
2	647	2332
3	2580	2332
4	5440	2332

Stop Event

1×	node limit

Counts

66 → 59

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
✓	0.0b	(*.f64 4 (/.f64 1 (pow.f64 alpha 2)))
✓	0.4b	(/.f64 1 (pow.f64 alpha 2))

Compiler

Compiled 57 to 47 computations (17.5% saved)

series1.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 1 (pow.f64 alpha 2))
0.0ms	alpha	@	0	(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
0.0ms	alpha	@	-inf	(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
0.0ms	alpha	@	inf	(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
0.0ms	alpha	@	inf	(/.f64 1 (pow.f64 alpha 2))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`rational_best.json-simplify-57`
610×	`rational_best.json-simplify-43`
594×	`rational_best.json-simplify-44`
586×	`rational_best.json-simplify-78`
510×	`rational_best.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	95	69
2	287	69
3	1170	69
4	5095	69

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 alpha) (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1 alpha)) (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1 alpha)) (-.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (*.f64 2 (/.f64 1 alpha)))) (*.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (*.f64 2 (/.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8) (*.f64 4 (/.f64 1 alpha))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (*.f64 2 (/.f64 1 alpha))))))))

simplify234.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best.json-simplify-80`
1058×	`rational_best.json-simplify-78`
1054×	`rational_best.json-simplify-24`
1028×	`rational_best.json-simplify-94`
914×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	2902
1	284	2500
2	1022	2500
3	3961	2440
4	7630	2440

Stop Event

1×	node limit

Counts

88 → 92

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 2 alpha)
(/.f64 2 alpha)
(+.f64 (/.f64 1 (pow.f64 alpha 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 1 (/.f64 1 (pow.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 alpha 2)) 1)
(*.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 2)))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (/.f64 1 (pow.f64 alpha 2))))
(.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (pow.f64 alpha 2)))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (pow.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))) (.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))) (*.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (pow.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(pow.f64 (/.f64 1 (pow.f64 alpha 2)) 1)
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 0)
(+.f64 0 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 1)
(/.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8) 2)
(/.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8)) -2)
(pow.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 alpha) (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4))))
(+.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 4)) 0))
(+.f64 (.f64 2 (/.f64 1 alpha)) (neg.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 0)
(+.f64 0 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (neg.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 1 alpha)) (-.f64 0 (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (.f64 2 (/.f64 1 alpha))) (neg.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8)))
(+.f64 (neg.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 8)) (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (*.f64 2 (/.f64 1 alpha))))
(.f64 1 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))
(.f64 2 (-.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 2 (-.f64 (.f64 (/.f64 1 (.f64 2 (/.f64 1 alpha))) (.f64 2 (.f64 (/.f64 1 alpha) (/.f64 1 alpha)))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))
(.f64 4 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 (/.f64 1 alpha) 2)) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 1)
(.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))))
(.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))))
(.f64 (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))
(.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (*.f64 2 (/.f64 1 alpha))) -1)
(.f64 (/.f64 1 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))
(.f64 (/.f64 1 (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))
(.f64 (/.f64 (/.f64 1 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))))
(.f64 (/.f64 (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (/.f64 (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (-.f64 (/.f64 1 alpha) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))) 2)
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))) 4) 16)
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(.f64 (/.f64 -1 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (.f64 2 (/.f64 1 alpha)))) (.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(/.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 1)
(/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (.f64 2 (/.f64 1 alpha))) -1)
(/.f64 (*.f64 8 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 2)
(/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 8) (.f64 4 (/.f64 1 alpha))) -2)
(pow.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 1)
(neg.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (.f64 2 (/.f64 1 alpha))))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
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(/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))))
(*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (.f64 2 (/.f64 1 alpha))) -1)
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 8 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 2)
(/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 8) (.f64 4 (/.f64 1 alpha))) -2)
(pow.f64 (*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2)))) 1)
(*.f64 4 (-.f64 (/.f64 (/.f64 1 alpha) 2) (/.f64 1 (pow.f64 alpha 2))))
(neg.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 4) (.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`rational_best.json-2`
1856×	`rational_best.json-3`
1856×	`rational_best.json-1`
1856×	`rational_best.json-5`
1854×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	67	19
2	221	19
3	906	19
4	3776	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify173.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best.json-simplify-80`
1020×	`rational_best.json-simplify-129`
976×	`rational_best.json-simplify-78`
932×	`rational_best.json-simplify-2`
908×	`rational_best.json-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	581
1	87	581
2	185	581
3	833	581
4	1963	581
5	4139	581

Stop Event

1×	node limit

Counts

29 → 23

Calls

Call 1

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

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

eval419.0ms (4.5%)

Compiler: Compiled 5819 to 4515 computations (22.4% saved)

prune134.0ms (1.4%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	0	0
Picked	0	1	1
Done	2	9	11
Total	199	13	212

Error

Counts

212 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.1b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	46.4b	(/.f64 (/.f64 2 alpha) 2)
	47.3b	(/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 4 (pow.f64 alpha 2))) 2)
✓	32.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	33.7b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
✓	19.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	35.0b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	44.5b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	58.3b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	43.1b	(/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2)
✓	41.5b	(/.f64 2 2)
✓	32.8b	(/.f64 1 2)

Compiler

Compiled 132 to 110 computations (16.7% saved)

regimes209.0ms (2.2%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

5 calls:

152.0ms	beta
20.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.0b	2	`alpha`
15.1b	5	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 305 to 230 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999813605	-0.020115621278704893

Compiler

Compiled 20 to 15 computations (25% saved)

regimes89.0ms (0.9%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	beta
19.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.0b	2	`alpha`
15.1b	5	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 198 to 152 computations (23.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999813605	-0.020115621278704893

Compiler

Compiled 20 to 15 computations (25% saved)

regimes57.0ms (0.6%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	beta
15.0ms	alpha

Results

Error	Segments	Branch
2.7b	2	`alpha`
15.2b	5	`beta`

Compiler

Compiled 105 to 84 computations (20% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	1052702772860791.0	929391227418142700.0

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes81.0ms (0.9%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
6.3b	2	`alpha`
15.7b	5	`beta`

Compiler

Compiled 63 to 52 computations (17.5% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1052702772860791.0	929391227418142700.0

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 180 to 151 computations (16.1% saved)

regimes38.0ms (0.4%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
17.7b	2	`alpha`
16.3b	5	`beta`

Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch247.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	426151031.1791825	23289738713285730.0
26.0ms	1.4864465742413054e-53	3.8033170076959146e-47
23.0ms	-1.3064621708416874e-284	-2.908796450461671e-293
175.0ms	-2.797533407602222e-221	-1.1428909791524998e-223

Results

178.0ms	85×	body	1024	valid
44.0ms	392×	body	256	valid
14.0ms	60×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 596 to 532 computations (10.7% saved)

regimes33.0ms (0.3%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 2 2)

Calls

2 calls:

21.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
18.1b	2	`alpha`
16.4b	5	`beta`

Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch93.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	426151031.1791825	23289738713285730.0
24.0ms	1.4864465742413054e-53	3.8033170076959146e-47
26.0ms	-1.3064621708416874e-284	-2.908796450461671e-293
19.0ms	-2.797533407602222e-221	-1.1428909791524998e-223

Results

45.0ms	376×	body	256	valid
23.0ms	96×	body	1024	valid
15.0ms	65×	body	512	valid
2.0ms	7×	body	2048	valid

Compiler

Compiled 496 to 457 computations (7.9% saved)

regimes17.0ms (0.2%)

Accuracy

Total -42.2b remaining (-215.3%)

Threshold costs -42.2b (-215.3%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(/.f64 1 2)
(/.f64 2 2)

Calls

2 calls:

8.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
30.6b	2	`alpha`
19.6b	2	`beta`

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	426151031.1791825	23289738713285730.0

Results

12.0ms	103×	body	256	valid
5.0ms	22×	body	1024	valid
3.0ms	18×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	502

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 alpha 1160000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 32000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -6251263530824863/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -3401396922652087/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7816146647275729/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 430000000) (/.f64 (/.f64 2 alpha) 2) (/.f64 2 2)))))
(if (<=.f64 beta -2995397108520247/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 1 2) (if (<=.f64 beta -3181041177584231/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1892330240919387/411376139330301510538742295639337626245683966408394965837152256) (/.f64 1 2) (if (<=.f64 beta 430000000) (/.f64 (/.f64 2 alpha) 2) (/.f64 2 2)))))
(if (<=.f64 beta 430000000) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 alpha 1160000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 32000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -6251263530824863/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -3401396922652087/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7816146647275729/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 430000000) (/.f64 (/.f64 2 alpha) 2) (/.f64 2 2)))))
(if (<=.f64 beta -6251263530824863/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -3401396922652087/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7816146647275729/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 430000000) (/.f64 (/.f64 2 alpha) 2) 1))))
(if (<=.f64 beta -2995397108520247/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 1 2) (if (<=.f64 beta -3181041177584231/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1892330240919387/411376139330301510538742295639337626245683966408394965837152256) (/.f64 1 2) (if (<=.f64 beta 430000000) (/.f64 (/.f64 2 alpha) 2) (/.f64 2 2)))))
(if (<=.f64 beta -2995397108520247/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) 1/2 (if (<=.f64 beta -3181041177584231/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1892330240919387/411376139330301510538742295639337626245683966408394965837152256) 1/2 (if (<=.f64 beta 430000000) (/.f64 (/.f64 2 alpha) 2) 1))))
(if (<=.f64 beta 430000000) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 430000000) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 210 to 162 computations (22.9% saved)

soundness450.0ms (4.8%)

Algorithm

4×	egg-herbie

Rules

1328×	`rational_best.json-simplify-129`
982×	`rational_best.json-simplify-132`
974×	`rational_best.json-simplify-80`
964×	`rational_best.json-simplify-2`
902×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	21	37
3	25	37
0	318	5920
1	621	5740
2	1407	5732
3	3975	5702
0	214	9260
1	425	9126
2	1281	9108
3	3247	9108
4	6583	9108
0	12	37
1	17	37
2	21	37
3	25	37

Stop Event

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

Compiler

Compiled 572 to 416 computations (27.3% saved)

end313.0ms (3.3%)

Compiler: Compiled 196 to 146 computations (25.5% saved)

Details

analyze37.0ms (0.4%)

sample2.3s (24.5%)

preprocess6.0ms (0.1%)

simplify167.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.2%)

series6.0ms (0.1%)

rewrite117.0ms (1.2%)

simplify163.0ms (1.7%)

eval254.0ms (2.7%)

prune41.0ms (0.4%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite81.0ms (0.9%)

simplify225.0ms (2.4%)

localize3.0ms (0%)

localize14.0ms (0.1%)

series1.0ms (0%)

rewrite84.0ms (0.9%)

simplify135.0ms (1.4%)

localize24.0ms (0.3%)

series3.0ms (0%)

rewrite91.0ms (1%)

simplify153.0ms (1.6%)

localize79.0ms (0.8%)

series52.0ms (0.6%)

rewrite92.0ms (1%)

simplify274.0ms (2.9%)

eval412.0ms (4.4%)

prune216.0ms (2.3%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize10.0ms (0.1%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite70.0ms (0.7%)

simplify228.0ms (2.4%)

localize143.0ms (1.5%)

series8.0ms (0.1%)

rewrite182.0ms (1.9%)

simplify210.0ms (2.2%)

eval127.0ms (1.4%)

prune31.0ms (0.3%)

localize115.0ms (1.2%)

series2.0ms (0%)

rewrite123.0ms (1.3%)

simplify177.0ms (1.9%)

localize8.0ms (0.1%)

localize24.0ms (0.3%)

series1.0ms (0%)

rewrite109.0ms (1.2%)

simplify234.0ms (2.5%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite86.0ms (0.9%)

simplify173.0ms (1.8%)

eval419.0ms (4.5%)

prune134.0ms (1.4%)

regimes209.0ms (2.2%)

bsearch0.0ms (0%)

regimes89.0ms (0.9%)

bsearch0.0ms (0%)

regimes57.0ms (0.6%)

bsearch16.0ms (0.2%)

regimes81.0ms (0.9%)

bsearch18.0ms (0.2%)

regimes38.0ms (0.4%)

bsearch247.0ms (2.6%)

regimes33.0ms (0.3%)

bsearch93.0ms (1%)

regimes17.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify10.0ms (0.1%)

soundness450.0ms (4.8%)

end313.0ms (3.3%)

Profiling