Details

analyze38.0ms (0.6%)

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)

sample1.7s (25.2%)

Results

1.2s	6463×	body	256	valid
328.0ms	1075×	body	1024	valid
188.0ms	613×	body	512	valid
38.0ms	105×	body	2048	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

16×	`rational_best_oopsla_all_46_json_45_simplify-35`
4×	`rational_best_oopsla_all_46_json_45_simplify-11`
4×	`rational_best_oopsla_all_46_json_45_simplify-82`

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best_oopsla_all_46_json_45_simplify-35`
4×	`rational_best_oopsla_all_46_json_45_simplify-82`
2×	`rational_best_oopsla_all_46_json_45_simplify-11`

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 → 4

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

eval1.0ms (0%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.0b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 50 to 23 computations (54% saved)

series69.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
63.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`rational_best_oopsla_all_46_json_45_simplify-13`
1492×	`rational_best_oopsla_all_46_json_45_simplify-23`
1074×	`rational_best_oopsla_all_46_json-2`
1074×	`rational_best_oopsla_all_46_json-1`
1074×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	61	56
2	129	56
3	419	56
4	1901	56

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs
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Outputs

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

simplify336.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best_oopsla_all_46_json_45_simplify-35`
1074×	`rational_best_oopsla_all_46_json_45_simplify-89`
938×	`rational_best_oopsla_all_46_json_45_simplify-24`
924×	`rational_best_oopsla_all_46_json_45_simplify-23`
838×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	6957
1	1434	6755
2	6916	6755

Stop Event

1×	node limit

Counts

135 → 216

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

eval239.0ms (3.5%)

Compiler: Compiled 9562 to 6079 computations (36.4% saved)

prune96.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	208	8	216
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	208	9	217

Error

0.0b

Counts

217 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	46.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	15.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	15.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	48.8b	(/.f64 (+.f64 (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))) 2)
▶	46.7b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	48.8b	(/.f64 (.f64 -1 (+.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)
▶	41.2b	(/.f64 2 2)

Compiler

Compiled 261 to 211 computations (19.2% saved)

localize11.0ms (0.2%)

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	@	inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	0	(/.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)

rewrite112.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational_best_oopsla_all_46_json_45_simplify-37`
984×	`rational_best_oopsla_all_46_json_45_simplify-13`
976×	`rational_best_oopsla_all_46_json_45_simplify-23`
678×	`rational_best_oopsla_all_46_json_45_simplify-87`
664×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	45	32
2	89	32
3	267	32
4	1213	32
5	7368	32

Stop Event

1×	node limit

Counts

2 → 119

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 (/.f64 beta (+.f64 beta 2)) (.f64 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (/.f64 beta (+.f64 beta 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.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)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (neg.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.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 0 (.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 0 (.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 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simplify162.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational_best_oopsla_all_46_json_45_simplify-23`
966×	`rational_best_oopsla_all_46_json_45_simplify-89`
828×	`rational_best_oopsla_all_46_json_45_simplify-13`
790×	`rational_best_oopsla_all_46_json_45_simplify-74`
788×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	2681
1	1067	2681
2	7918	2681

Stop Event

1×	node limit

Counts

143 → 151

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

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

localize3.0ms (0%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.8b	(-.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 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms	alpha	@	inf	(/.f64 alpha (+.f64 alpha 2))
0.0ms	alpha	@	0	(/.f64 alpha (+.f64 alpha 2))

rewrite106.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`rational_best_oopsla_all_46_json_45_simplify-37`
992×	`rational_best_oopsla_all_46_json_45_simplify-13`
942×	`rational_best_oopsla_all_46_json_45_simplify-23`
656×	`rational_best_oopsla_all_46_json_45_simplify-87`
652×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	42	32
2	84	32
3	268	32
4	1216	32
5	7251	32

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

simplify145.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1824×	`rational_best_oopsla_all_46_json_45_simplify-23`
990×	`rational_best_oopsla_all_46_json_45_simplify-89`
808×	`rational_best_oopsla_all_46_json_45_simplify-24`
796×	`rational_best_oopsla_all_46_json_45_simplify-74`
672×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	266	2982
1	1099	2958
2	7683	2958

Stop Event

1×	node limit

Counts

142 → 150

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

localize19.0ms (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	alpha	@	-inf	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`rational_best_oopsla_all_46_json_45_simplify-13`
1128×	`rational_best_oopsla_all_46_json-2`
1128×	`rational_best_oopsla_all_46_json-1`
1128×	`rational_best_oopsla_all_46_json-4`
1128×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	48	19
2	128	19
3	470	19
4	2264	19

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational_best_oopsla_all_46_json_45_simplify-89`
1372×	`rational_best_oopsla_all_46_json_45_simplify-37`
1370×	`rational_best_oopsla_all_46_json_45_simplify-74`
1028×	`rational_best_oopsla_all_46_json_45_simplify-24`
1014×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	1262
1	333	1208
2	2333	1208

Stop Event

1×	node limit

Counts

62 → 45

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

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

localize59.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
✓	3.3b	(-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
✓	3.5b	(+.f64 (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
✓	9.2b	(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))

Compiler

Compiled 154 to 106 computations (31.2% saved)

series13.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite125.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational_best_oopsla_all_46_json_45_simplify-35`
608×	`rational_best_oopsla_all_46_json_45_simplify-23`
580×	`rational_best_oopsla_all_46_json_45_simplify-10`
566×	`rational_best_oopsla_all_46_json-2`
566×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	198
1	123	198
2	341	194
3	1257	194
4	5567	194

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

Outputs
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simplify239.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1014×	`rational_best_oopsla_all_46_json_45_simplify-72`
926×	`rational_best_oopsla_all_46_json_45_simplify-89`
770×	`rational_best_oopsla_all_46_json_45_simplify-93`
724×	`rational_best_oopsla_all_46_json_45_simplify-74`
720×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	271	10904
1	999	10684
2	4311	10684

Stop Event

1×	node limit

Counts

214 → 182

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

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

eval575.0ms (8.3%)

Compiler: Compiled 21044 to 15643 computations (25.7% saved)

prune159.0ms (2.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	519	9	528
Fresh	2	1	3
Picked	1	0	1
Done	1	4	5
Total	523	14	537

Error

0.0b

Counts

537 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	49.6b	(/.f64 (/.f64 2 alpha) 2)
▶	50.7b	(/.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	30.5b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	15.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	47.5b	(/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 -4 (pow.f64 alpha 2))) 2)
	31.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	48.8b	(/.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 beta 1) alpha))) 2)
	46.4b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
	44.3b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
✓	41.2b	(/.f64 2 2)
▶	29.4b	(/.f64 1 2)

Compiler

Compiled 296 to 248 computations (16.2% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

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

localize13.0ms (0.2%)

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)

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational_best_oopsla_all_46_json_45_simplify-23`
1348×	`rational_best_oopsla_all_46_json_45_simplify-37`
1248×	`rational_best_oopsla_all_46_json_45_simplify-13`
802×	`rational_best_oopsla_all_46_json-2`
802×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	45	19
2	104	19
3	338	19
4	1639	19

Stop Event

1×	node limit

Counts

1 → 49

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 -2)) alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (*.f64 (*.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 1 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (-.f64 2 (*.f64 beta -2)) alpha)) (/.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (-.f64 2 (*.f64 beta -2)) alpha))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 (-.f64 2 (*.f64 beta -2)) alpha))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) (/.f64 1 (/.f64 (-.f64 2 (*.f64 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simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best_oopsla_all_46_json_45_simplify-7`
1064×	`rational_best_oopsla_all_46_json_45_simplify-49`
1042×	`rational_best_oopsla_all_46_json_45_simplify-72`
548×	`rational_best_oopsla_all_46_json_45_simplify-36`
500×	`rational_best_oopsla_all_46_json_45_simplify-31`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	1243
1	405	1189
2	2799	1189
3	6743	1189

Stop Event

1×	node limit

Counts

61 → 54

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 1 (pow.f64 alpha 2)))
✓	0.0b	(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
✓	0.5b	(/.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
0.0ms	alpha	@	0	(/.f64 1 (pow.f64 alpha 2))
0.0ms	alpha	@	0	(*.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	@	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))))

rewrite89.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational_best_oopsla_all_46_json_45_simplify-89`
1146×	`rational_best_oopsla_all_46_json_45_simplify-74`
1122×	`rational_best_oopsla_all_46_json-2`
1122×	`rational_best_oopsla_all_46_json-1`
1122×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	65	69
2	142	69
3	473	69
4	2287	69

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational_best_oopsla_all_46_json_45_simplify-23`
1208×	`rational_best_oopsla_all_46_json_45_simplify-35`
860×	`rational_best_oopsla_all_46_json_45_simplify-89`
720×	`rational_best_oopsla_all_46_json_45_simplify-37`
688×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	4534
1	866	4534
2	5790	4534

Stop Event

1×	node limit

Counts

120 → 130

Calls

Call 1

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

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

eval153.0ms (2.2%)

Compiler: Compiled 7946 to 6674 computations (16% saved)

prune43.0ms (0.6%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	5	5
Picked	1	0	1
Done	0	8	8
Total	181	17	198

Error

Counts

198 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.6b	(/.f64 (/.f64 2 alpha) 2)
▶	50.7b	(/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 4 (pow.f64 alpha 2))) 2)
✓	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	30.5b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	15.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	50.7b	(/.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 alpha) (*.f64 -4 (/.f64 1 (pow.f64 alpha 2))))) 2)
	47.5b	(/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 -4 (pow.f64 alpha 2))) 2)
▶	31.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	48.8b	(/.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 beta 1) alpha))) 2)
	46.4b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
▶	44.3b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
▶	58.8b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	46.7b	(/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2)
✓	41.2b	(/.f64 2 2)
✓	29.4b	(/.f64 1 2)

Compiler

Compiled 342 to 282 computations (17.5% saved)

localize9.0ms (0.1%)

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

localize6.0ms (0.1%)

Compiler: Compiled 20 to 10 computations (50% saved)

localize16.0ms (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	beta	@	0	(*.f64 2 (/.f64 alpha beta))
0.0ms	alpha	@	inf	(*.f64 2 (/.f64 alpha beta))
0.0ms	alpha	@	-inf	(*.f64 2 (/.f64 alpha beta))

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best_oopsla_all_46_json_45_simplify-23`
1064×	`rational_best_oopsla_all_46_json_45_simplify-37`
1042×	`rational_best_oopsla_all_46_json_45_simplify-13`
710×	`rational_best_oopsla_all_46_json_45_simplify-89`
680×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	39	13
2	92	13
3	299	13
4	1428	13
5	7725	13

Stop Event

1×	node limit

Counts

1 → 35

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational_best_oopsla_all_46_json_45_simplify-49`
1364×	`rational_best_oopsla_all_46_json_45_simplify-13`
1110×	`rational_best_oopsla_all_46_json_45_simplify-7`
738×	`rational_best_oopsla_all_46_json_45_simplify-89`
574×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	665
1	245	665
2	793	455
3	3901	455

Stop Event

1×	node limit

Counts

35 → 36

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 4 (pow.f64 alpha 2)))
✓	0.5b	(/.f64 4 (pow.f64 alpha 2))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational_best_oopsla_all_46_json_45_simplify-13`
1496×	`rational_best_oopsla_all_46_json_45_simplify-23`
912×	`rational_best_oopsla_all_46_json-2`
912×	`rational_best_oopsla_all_46_json-1`
912×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	58	44
2	121	44
3	390	44
4	1847	44

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

940×	`rational_best_oopsla_all_46_json_45_simplify-23`
812×	`rational_best_oopsla_all_46_json_45_simplify-80`
734×	`rational_best_oopsla_all_46_json_45_simplify-89`
664×	`rational_best_oopsla_all_46_json_45_simplify-35`
622×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	190	3669
1	812	3529
2	5023	3529

Stop Event

1×	node limit

Counts

105 → 104

Calls

Call 1

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

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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 alpha) (*.f64 -4 (/.f64 1 (pow.f64 alpha 2))))
✓	0.0b	(*.f64 -4 (/.f64 1 (pow.f64 alpha 2)))
✓	0.0b	(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 alpha) (*.f64 -4 (/.f64 1 (pow.f64 alpha 2)))))
	0.5b	(/.f64 1 (pow.f64 alpha 2))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`rational_best_oopsla_all_46_json_45_simplify-89`
1122×	`rational_best_oopsla_all_46_json-2`
1122×	`rational_best_oopsla_all_46_json-1`
1122×	`rational_best_oopsla_all_46_json-4`
1122×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	65	93
2	134	87
3	431	87
4	2041	87

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Outputs

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

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational_best_oopsla_all_46_json_45_simplify-49`
868×	`rational_best_oopsla_all_46_json_45_simplify-89`
844×	`rational_best_oopsla_all_46_json_45_simplify-35`
730×	`rational_best_oopsla_all_46_json_45_simplify-23`
706×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	9136
1	854	9136
2	5040	8862

Stop Event

1×	node limit

Counts

136 → 133

Calls

Call 1

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

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

eval346.0ms (5%)

Compiler: Compiled 14272 to 11774 computations (17.5% saved)

prune62.0ms (0.9%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	314	1	315
Fresh	0	4	4
Picked	1	0	1
Done	0	12	12
Total	315	17	332

Error

Counts

332 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.6b	(/.f64 (/.f64 2 alpha) 2)
✓	50.7b	(/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 4 (pow.f64 alpha 2))) 2)
✓	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	30.5b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	15.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	50.7b	(/.f64 (+.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (/.f64 1 alpha))) 2)
	47.5b	(/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 -4 (pow.f64 alpha 2))) 2)
✓	31.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	48.8b	(/.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 beta 1) alpha))) 2)
	46.4b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
✓	44.3b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
✓	58.8b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	46.7b	(/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2)
✓	41.2b	(/.f64 2 2)
✓	29.4b	(/.f64 1 2)

Compiler

Compiled 207 to 171 computations (17.4% saved)

regimes76.0ms (1.1%)

Counts

24 → 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 2 (neg.f64 (/.f64 2 beta))) 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 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 -4 (pow.f64 alpha 2))) 2)
(/.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 alpha) (*.f64 -4 (/.f64 1 (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 beta 1) alpha))) 2)
(/.f64 (.f64 -1 (+.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 (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))) 2)

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

Calls

5 calls:

25.0ms	alpha
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
12.0ms	beta
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.1b	2	`alpha`
15.0b	1	`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 342 to 262 computations (23.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999092	-1.345229018384689e-6

Compiler

Compiled 20 to 15 computations (25% saved)

regimes73.0ms (1%)

Counts

19 → 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 2 (neg.f64 (/.f64 2 beta))) 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 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 4 (pow.f64 alpha 2))) (/.f64 1 alpha))) 2)

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

Calls

5 calls:

31.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	beta
8.0ms	(/.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
3.1b	2	`alpha`
15.0b	1	`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 222 to 172 computations (22.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999092	-1.345229018384689e-6

Compiler

Compiled 20 to 15 computations (25% saved)

regimes34.0ms (0.5%)

Counts

14 → 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 2 (neg.f64 (/.f64 2 beta))) 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:

22.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
3.3b	2	`alpha`
15.5b	1	`beta`

Compiler

Compiled 113 to 91 computations (19.5% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	4175213017998.7866	22019222993984.836

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 164 to 135 computations (17.7% saved)

regimes28.0ms (0.4%)

Counts

10 → 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 2 (neg.f64 (/.f64 2 beta))) 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:

17.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
6.5b	2	`alpha`
15.5b	1	`beta`

Compiler

Compiled 71 to 59 computations (16.9% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	4175213017998.7866	22019222993984.836

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 140 to 117 computations (16.4% saved)

regimes28.0ms (0.4%)

Counts

8 → 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 2 (neg.f64 (/.f64 2 beta))) 2)

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

Calls

2 calls:

16.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
17.8b	2	`alpha`
15.9b	2	`beta`

Compiler

Compiled 53 to 45 computations (15.1% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.027667305799965437	101.76018714237092

Results

9.0ms	92×	body	256	valid
7.0ms	22×	body	1024	valid
2.0ms	13×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 188 to 167 computations (11.2% saved)

regimes25.0ms (0.4%)

Counts

7 → 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)

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

Calls

2 calls:

14.0ms	beta
9.0ms	alpha

Results

Error	Segments	Branch
17.8b	2	`alpha`
16.1b	2	`beta`

Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.027667305799965437	101.76018714237092

Results

11.0ms	95×	body	256	valid
4.0ms	18×	body	1024	valid
2.0ms	12×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 148 to 135 computations (8.8% saved)

regimes55.0ms (0.8%)

Accuracy

Total -46.2b remaining (-280.7%)

Threshold costs -46.2b (-280.7%)

Counts

5 → 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)

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

Calls

2 calls:

46.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
17.9b	2	`alpha`
16.4b	2	`beta`

Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.027667305799965437	101.76018714237092

Results

11.0ms	101×	body	256	valid
7.0ms	11×	body	512	valid
3.0ms	15×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 116 to 111 computations (4.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	412

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 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 -4 (pow.f64 alpha 2))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 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 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 4200000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 4400000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.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 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 -4 (pow.f64 alpha 2))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 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 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 4200000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 4400000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 170 to 129 computations (24.1% saved)

soundness153.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1376×	`rational_best_oopsla_all_46_json_45_simplify-35`
1074×	`rational_best_oopsla_all_46_json_45_simplify-89`
938×	`rational_best_oopsla_all_46_json_45_simplify-24`
924×	`rational_best_oopsla_all_46_json_45_simplify-23`
838×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	21	37
3	25	37
0	404	6957
1	1434	6755
2	6916	6755

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 332 to 243 computations (26.8% saved)

end89.0ms (1.3%)

Compiler: Compiled 156 to 113 computations (27.6% saved)

Details

analyze38.0ms (0.6%)

sample1.7s (25.2%)

preprocess4.0ms (0.1%)

simplify10.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series69.0ms (1%)

rewrite74.0ms (1.1%)

simplify336.0ms (4.9%)

eval239.0ms (3.5%)

prune96.0ms (1.4%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite112.0ms (1.6%)

simplify162.0ms (2.3%)

localize3.0ms (0%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite106.0ms (1.5%)

simplify145.0ms (2.1%)

localize19.0ms (0.3%)

series3.0ms (0%)

rewrite61.0ms (0.9%)

simplify81.0ms (1.2%)

localize59.0ms (0.9%)

series13.0ms (0.2%)

rewrite125.0ms (1.8%)

simplify239.0ms (3.5%)

eval575.0ms (8.3%)

prune159.0ms (2.3%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite85.0ms (1.2%)

simplify116.0ms (1.7%)

localize25.0ms (0.4%)

series1.0ms (0%)

rewrite89.0ms (1.3%)

simplify124.0ms (1.8%)

eval153.0ms (2.2%)

prune43.0ms (0.6%)

localize9.0ms (0.1%)

localize6.0ms (0.1%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite95.0ms (1.4%)

simplify82.0ms (1.2%)

localize19.0ms (0.3%)

series0.0ms (0%)

rewrite70.0ms (1%)

simplify121.0ms (1.7%)

localize26.0ms (0.4%)

series1.0ms (0%)

rewrite83.0ms (1.2%)

simplify141.0ms (2%)

eval346.0ms (5%)

prune62.0ms (0.9%)

regimes76.0ms (1.1%)

bsearch0.0ms (0%)

regimes73.0ms (1%)

bsearch0.0ms (0%)

regimes34.0ms (0.5%)

bsearch14.0ms (0.2%)

regimes28.0ms (0.4%)

bsearch11.0ms (0.2%)

regimes28.0ms (0.4%)

bsearch21.0ms (0.3%)

regimes25.0ms (0.4%)

bsearch20.0ms (0.3%)

regimes55.0ms (0.8%)

bsearch23.0ms (0.3%)

simplify6.0ms (0.1%)

soundness153.0ms (2.2%)

end89.0ms (1.3%)

Profiling