Metrics for Octave 3.8, jcobi/1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
100%	56.2%	0%	43.8%	0%	0%	0%	1

Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample1.8s (18.7%)

Results

924.0ms	6579×	256	valid
398.0ms	1028×	1024	valid
125.0ms	577×	512	valid
30.0ms	71×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 677.0ms

Operation ival-add, time spent: 208.0ms, 31.0% of total-time

Operation ival-div, time spent: 204.0ms, 30.0% of total-time

Operation ival->, time spent: 124.0ms, 18.0% of total-time

Operation ival-sub, time spent: 88.0ms, 13.0% of total-time

Operation const, time spent: 36.0ms, 5.0% of total-time

Operation ival-and, time spent: 16.0ms, 2.0% of total-time

Bogosity

preprocess653.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

6132×	`fma-neg`
1074×	`div-sub`
820×	`sub-neg`
700×	`associate-/r*`
664×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0	-	-	`beta`
0	-	-	`1`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0	-	-	`2`
0	-	-	`alpha`
0	-	-	`(+.f64 (+.f64 alpha beta) 2)`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0	-	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`	cancellation	70	0

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	38	359
1	96	351
2	204	351
3	534	343
4	1351	343
5	3461	343
6	6068	343
7	6956	343
8	7145	343
9	7181	343
10	7228	343
11	7228	343
12	7435	343
13	7550	343
14	7552	343
15	7552	315

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 132 to 70 computations (47% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

Operation ival-div, time spent: 28.0ms, 45.0% of total-time

Operation ival-add, time spent: 26.0ms, 42.0% of total-time

Operation ival-sub, time spent: 5.0ms, 8.0% of total-time

Operation const, time spent: 4.0ms, 6.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 79 to 51 computations (35.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize79.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 beta alpha) 2)
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	75.3%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-add, time spent: 12.0ms, 45.0% of total-time

Operation ival-div, time spent: 10.0ms, 38.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

Operation ival-sub, time spent: 2.0ms, 8.0% of total-time

series14.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))>
#<alt (+.f64 (+.f64 beta alpha) 2)>

Outputs
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt -1>
#<alt (-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))>
#<alt -1>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (.f64 -1 beta) (+.f64 2 beta))) alpha)) (.f64 -1 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (+.f64 2 alpha)>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt beta>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt beta>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (+.f64 2 beta)>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt alpha>
#<alt (.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt (.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt (.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt alpha>
#<alt (.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))>

Calls

18 calls:

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

rewrite274.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1235×	`log1p-expm1-u`
1235×	`expm1-log1p-u`
708×	`fma-neg`
95×	`add-cube-cbrt`
93×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	99
1	202	99
2	3174	99

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(.f64 (-.f64 beta alpha) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 beta 2) (-.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))

simplify188.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-neg`
1168×	`sub-neg`
654×	`div-sub`
564×	`fma-define`
502×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	607	13991
1	1721	13434
2	5581	13161

Stop Event

1×	node limit

Counts

225 → 401

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (.f64 -1 beta) (+.f64 2 beta))) alpha)) (.f64 -1 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
beta
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))
(.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))
(.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))
alpha
(.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))
(.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))
(.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(.f64 (-.f64 beta alpha) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 beta 2) (-.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
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1
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1
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-1
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-1
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beta
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beta
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alpha
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alpha
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta)) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(expm1.f64 (log1p.f64 (+.f64 2 (+.f64 alpha beta))))
(+.f64 -1 (+.f64 3 (+.f64 alpha beta)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha -2))) (/.f64 4 (+.f64 beta (+.f64 alpha -2))))
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 -2 beta))) (/.f64 4 (-.f64 2 (+.f64 alpha beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (/.f64 1 (+.f64 beta (+.f64 alpha -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 alpha (+.f64 -2 beta)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta)))))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (/.f64 1 (+.f64 beta (+.f64 alpha -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 alpha (+.f64 -2 beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (/.f64 1 (+.f64 beta (+.f64 alpha -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 alpha (+.f64 -2 beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta)))))
(neg.f64 (/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) 2)) 4) (neg.f64 (+.f64 beta (+.f64 alpha -2))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 2 (+.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 beta 2) (-.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 beta 2) (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (pow.f64 beta 2)))
(/.f64 (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (-.f64 beta alpha) -2))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) 2)) 4) (neg.f64 (+.f64 beta (+.f64 alpha -2))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 2 (+.f64 alpha beta)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (+.f64 2 (+.f64 alpha beta))))
(+.f64 -1 (+.f64 3 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 beta alpha) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))

eval215.0ms (2.3%)

Compiler: Compiled 11365 to 7773 computations (31.6% saved)

prune132.0ms (1.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	389	12	401
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	13	402

Accuracy

99.9%

Counts

402 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	25.0%	(/.f64 (/.f64 (+.f64 2 (+.f64 (-.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
	29.1%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	51.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	71.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 beta)) 1) 2)
	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1) 2)
	31.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
▶	71.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
▶	75.2%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	27.7%	(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	35.6%	(/.f64 2 2)

Compiler

Compiled 339 to 265 computations (21.8% saved)

localize393.0ms (4.2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)
✓	100.0%	(-.f64 (-.f64 -2 alpha) alpha)
✓	99.7%	(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	69.0%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	100.0%	(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
✓	100.0%	(/.f64 beta (+.f64 2 beta))
✓	100.0%	(+.f64 beta (+.f64 alpha 2))
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	75.3%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 161 to 107 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

Operation ival-add, time spent: 50.0ms, 33.0% of total-time

Operation ival-div, time spent: 47.0ms, 31.0% of total-time

Operation ival-sub, time spent: 37.0ms, 24.0% of total-time

Operation const, time spent: 9.0ms, 6.0% of total-time

Operation ival-mult, time spent: 8.0ms, 5.0% of total-time

series28.0ms (0.3%)

Counts

11 → 204

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)>
#<alt (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))>
#<alt (/.f64 1 (+.f64 beta (+.f64 alpha 2)))>
#<alt (+.f64 beta (+.f64 alpha 2))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (/.f64 beta (+.f64 2 beta)) 1)>
#<alt (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))>
#<alt (/.f64 alpha (+.f64 alpha 2))>
#<alt (/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)>
#<alt (-.f64 (-.f64 -2 alpha) alpha)>
#<alt (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)>

Outputs
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt -1>
#<alt (-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))>
#<alt -1>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (.f64 -1 beta) (+.f64 2 beta))) alpha)) (.f64 -1 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (/.f64 1 (+.f64 2 alpha))>
#<alt (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))>
#<alt (+.f64 (*.f64 beta (-.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))>
#<alt (+.f64 (.f64 beta (-.f64 (.f64 beta (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))>
#<alt (/.f64 1 beta)>
#<alt (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) beta)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) beta)>
#<alt (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))) beta)>
#<alt (/.f64 1 beta)>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1) beta))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (+.f64 2 alpha)) beta)) 1) beta))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta) (pow.f64 (+.f64 2 alpha) 2)) beta)) (+.f64 2 alpha)) beta)) 1) beta))>
#<alt (/.f64 1 (+.f64 2 beta))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1 (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (.f64 alpha (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1 (+.f64 2 beta)))>
#<alt (/.f64 1 alpha)>
#<alt (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))) alpha)>
#<alt (/.f64 1 alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)) 1) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (+.f64 2 beta)) alpha)) 1) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (pow.f64 (+.f64 2 beta) 2)) alpha)) (+.f64 2 beta)) alpha)) 1) alpha))>
#<alt (+.f64 2 alpha)>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt beta>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt beta>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (+.f64 2 beta)>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt alpha>
#<alt (.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt (.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt (.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt alpha>
#<alt (.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))>
#<alt (*.f64 1/2 beta)>
#<alt (.f64 beta (+.f64 1/2 (.f64 -1/4 beta)))>
#<alt (.f64 beta (+.f64 1/2 (.f64 beta (-.f64 (*.f64 1/8 beta) 1/4))))>
#<alt (.f64 beta (+.f64 1/2 (.f64 beta (-.f64 (.f64 beta (+.f64 1/8 (.f64 -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 8 (/.f64 1 (pow.f64 beta 3)))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 beta))) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 beta))>
#<alt (+.f64 1 (.f64 beta (+.f64 1/2 (.f64 -1/4 beta))))>
#<alt (+.f64 1 (.f64 beta (+.f64 1/2 (.f64 beta (-.f64 (*.f64 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (-.f64 2 (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 8 (/.f64 1 (pow.f64 beta 3)))))>
#<alt 2>
#<alt (-.f64 2 (*.f64 2 (/.f64 1 beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 beta))) beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 alpha))>
#<alt (+.f64 1 (.f64 alpha (-.f64 (.f64 1/4 alpha) 1/2)))>
#<alt (+.f64 1 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/4 (*.f64 -1/8 alpha))) 1/2)))>
#<alt (/.f64 2 alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3))))) alpha)>
#<alt (/.f64 2 alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (*.f64 1/2 alpha)>
#<alt (.f64 alpha (+.f64 1/2 (.f64 -1/4 alpha)))>
#<alt (.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (*.f64 1/8 alpha) 1/4))))>
#<alt (.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/8 (.f64 -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 alpha)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 alpha))) alpha)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))) alpha)))>
#<alt (.f64 1/2 (-.f64 2 (.f64 2 (/.f64 1 beta))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 1/2 (-.f64 2 (*.f64 2 (/.f64 1 beta)))))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (.f64 alpha (-.f64 (.f64 1/2 (/.f64 (-.f64 2 (*.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta)))>
#<alt (.f64 alpha (-.f64 (.f64 1/2 (/.f64 (-.f64 2 (*.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta)))>
#<alt (.f64 alpha (-.f64 (.f64 1/2 (/.f64 (-.f64 2 (*.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta)))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 -1/2 (/.f64 (-.f64 2 (.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 -1/2 (/.f64 (-.f64 2 (.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 -1/2 (/.f64 (-.f64 2 (.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta))))>
#<alt (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (/.f64 (+.f64 beta (.f64 -1/2 (+.f64 2 (.f64 2 alpha)))) beta)>
#<alt (/.f64 (+.f64 beta (.f64 -1/2 (+.f64 2 (.f64 2 alpha)))) beta)>
#<alt (/.f64 (+.f64 beta (.f64 -1/2 (+.f64 2 (.f64 2 alpha)))) beta)>
#<alt 1>
#<alt (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt 1>
#<alt (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt -2>
#<alt (-.f64 (*.f64 -2 alpha) 2)>
#<alt (-.f64 (*.f64 -2 alpha) 2)>
#<alt (-.f64 (*.f64 -2 alpha) 2)>
#<alt (*.f64 -2 alpha)>
#<alt (.f64 -1 (.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha)))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha)))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha)))))>
#<alt (*.f64 -2 alpha)>
#<alt (.f64 -1 (.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha)))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha)))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha)))))>
#<alt (/.f64 -2 beta)>
#<alt (-.f64 (.f64 -2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (.f64 -2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (.f64 -2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))>
#<alt (*.f64 -2 (/.f64 alpha beta))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -2 (/.f64 alpha beta))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))>

Calls

51 calls:

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

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`associate-r`
248×	`log1p-expm1-u`
248×	`expm1-log1p-u`
244×	`add-cube-cbrt`
242×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	299
1	510	290

Stop Event

1×	node limit

Counts

11 → 354

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)))
(/.f64 (.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 beta)) (+.f64 beta alpha)))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (+.f64 (-.f64 -2 alpha) (neg.f64 beta))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) 1) (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1) (.f64 (+.f64 beta alpha) (+.f64 (-.f64 -2 alpha) (neg.f64 beta))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (-.f64 -2 alpha) (neg.f64 beta)))
(/.f64 (*.f64 (-.f64 beta alpha) 1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 beta alpha))
(/.f64 (*.f64 (-.f64 beta alpha) -1) (+.f64 (-.f64 -2 alpha) (neg.f64 beta)))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (+.f64 (-.f64 -2 alpha) (neg.f64 beta)))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta alpha))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 -1 (/.f64 1 (+.f64 (-.f64 -2 alpha) (neg.f64 beta))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (-.f64 -2 alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 beta (-.f64 -2 alpha))))
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 beta (-.f64 -2 alpha))))
(/.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(/.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 beta)) -1)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 beta (-.f64 -2 alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 beta (-.f64 -2 alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (-.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(.f64 beta (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
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(.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) (/.f64 1 beta)))
(.f64 (sqrt.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) (sqrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (/.f64 1 beta)))
(.f64 (neg.f64 (-.f64 -2 (.f64 alpha 2))) (/.f64 1 (neg.f64 beta)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 -2 (.f64 alpha 2)) (cbrt.f64 beta)))
(.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 (.f64 alpha 2)) (sqrt.f64 beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 -2 (*.f64 alpha 2))) (sqrt.f64 beta)))
(.f64 (/.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(.f64 (/.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) (cbrt.f64 beta)))
(pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 2)
(pow.f64 (/.f64 beta (-.f64 -2 (*.f64 alpha 2))) -1)
(neg.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) (neg.f64 beta)))
(neg.f64 (/.f64 (neg.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) 1))

simplify240.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1170×	`fma-define`
826×	`times-frac`
752×	`sub-neg`
692×	`distribute-lft-in`
552×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1318	24772
1	3704	22679

Stop Event

1×	node limit

Counts

558 → 817

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (.f64 -1 beta) (+.f64 2 beta))) alpha)) (.f64 -1 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (.f64 beta (-.f64 (.f64 beta (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 1 beta)
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) beta)
(/.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) beta)
(/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))) beta)
(/.f64 1 beta)
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1) beta))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (+.f64 2 alpha)) beta)) 1) beta))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta) (pow.f64 (+.f64 2 alpha) 2)) beta)) (+.f64 2 alpha)) beta)) 1) beta))
(/.f64 1 (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))
(+.f64 (*.f64 alpha (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1 (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (.f64 alpha (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1 (+.f64 2 beta)))
(/.f64 1 alpha)
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))) alpha)
(/.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) alpha)
(/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))) alpha)
(/.f64 1 alpha)
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (+.f64 2 beta)) alpha)) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (pow.f64 (+.f64 2 beta) 2)) alpha)) (+.f64 2 beta)) alpha)) 1) alpha))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
beta
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))
(.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))
(.f64 alpha (+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))
alpha
(.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))
(.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))
(.f64 -1 (.f64 alpha (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) 1)))
(*.f64 1/2 beta)
(.f64 beta (+.f64 1/2 (.f64 -1/4 beta)))
(.f64 beta (+.f64 1/2 (.f64 beta (-.f64 (*.f64 1/8 beta) 1/4))))
(.f64 beta (+.f64 1/2 (.f64 beta (-.f64 (.f64 beta (+.f64 1/8 (.f64 -1/16 beta))) 1/4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (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 1 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 beta))) beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 beta))) beta))) beta)))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (.f64 beta (+.f64 1/2 (.f64 -1/4 beta))))
(+.f64 1 (.f64 beta (+.f64 1/2 (.f64 beta (-.f64 (*.f64 1/8 beta) 1/4)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (/.f64 4 (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 2 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 beta))) beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 beta))) beta))) beta)))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (.f64 alpha (-.f64 (.f64 1/4 alpha) 1/2)))
(+.f64 1 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/4 (*.f64 -1/8 alpha))) 1/2)))
(/.f64 2 alpha)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3))))) alpha)
(/.f64 2 alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(*.f64 1/2 alpha)
(.f64 alpha (+.f64 1/2 (.f64 -1/4 alpha)))
(.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (*.f64 1/8 alpha) 1/4))))
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(-.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 alpha beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta))) 1)
(-.f64 (/.f64 -2 beta) (/.f64 (*.f64 alpha 2) beta))
(.f64 1 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta))
(.f64 (-.f64 -2 (.f64 alpha 2)) (/.f64 1 beta))
(.f64 (cbrt.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) 2) (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) (/.f64 1 beta)))
(.f64 (sqrt.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) (sqrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (/.f64 1 beta)))
(.f64 (neg.f64 (-.f64 -2 (.f64 alpha 2))) (/.f64 1 (neg.f64 beta)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 -2 (.f64 alpha 2)) (cbrt.f64 beta)))
(.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 (.f64 alpha 2)) (sqrt.f64 beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 -2 (*.f64 alpha 2))) (sqrt.f64 beta)))
(.f64 (/.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(.f64 (/.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) (cbrt.f64 beta)))
(pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 2)
(pow.f64 (/.f64 beta (-.f64 -2 (*.f64 alpha 2))) -1)
(neg.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) (neg.f64 beta)))
(neg.f64 (/.f64 (neg.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) 1))

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (.f64 beta (fma.f64 beta (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (-.f64 -2 alpha))))
2
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) 2) (-.f64 (fma.f64 alpha (/.f64 2 beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(-.f64 (+.f64 2 (fma.f64 -1 (.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(-.f64 (+.f64 (-.f64 2 (.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2))) (-.f64 (+.f64 (fma.f64 alpha (/.f64 2 beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
2
(-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(+.f64 2 (/.f64 (fma.f64 alpha -2 -2) beta))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta)))
(-.f64 2 (/.f64 (fma.f64 (+.f64 alpha 2) (/.f64 (fma.f64 alpha -2 -2) beta) (fma.f64 alpha 2 2)) beta))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 2 (neg.f64 (/.f64 (.f64 -1 (+.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (fma.f64 -1 (.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta))) beta)))
(-.f64 2 (/.f64 (-.f64 (fma.f64 alpha 2 2) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (fma.f64 alpha -2 -2) beta) (*.f64 (+.f64 alpha 2) (fma.f64 alpha 2 2))) beta)) beta))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (-.f64 -2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 alpha (-.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (fma.f64 alpha (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (/.f64 1 (-.f64 -2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (.f64 2 beta)) (/.f64 (.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (+.f64 2 (+.f64 (-.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))) (fma.f64 -1 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) alpha)))) alpha)
(/.f64 (+.f64 (+.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3)) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (fma.f64 -1 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) alpha)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (-.f64 (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3)))) (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (.f64 beta (+.f64 2 beta)) alpha)) (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (fma.f64 -1 beta (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) (-.f64 -2 beta)) alpha))
(/.f64 (+.f64 (-.f64 (fma.f64 beta (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) beta) (-.f64 -2 beta)) (neg.f64 alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (.f64 -1 (+.f64 beta (/.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)))) alpha))) (-.f64 -2 beta)) alpha))
(/.f64 (-.f64 (fma.f64 -1 (+.f64 beta (/.f64 (+.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (*.f64 (+.f64 2 beta) (-.f64 (-.f64 -2 beta) beta))) alpha)) -2) beta) (neg.f64 alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (.f64 -1 (+.f64 beta (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) alpha)) (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))) alpha))) (-.f64 -2 beta)) alpha))
(/.f64 (fma.f64 -1 (+.f64 beta (/.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) alpha) (.f64 (+.f64 2 beta) (-.f64 (-.f64 -2 beta) beta))) alpha)) (-.f64 -2 beta)) (neg.f64 alpha))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(/.f64 alpha (-.f64 -2 alpha))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
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1
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-1
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beta
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 alpha -2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 alpha -2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha -2 -2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha -2 -2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (.f64 alpha 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 -2 (*.f64 alpha 2))) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 alpha -2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 -2 alpha -2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha -2 -2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 alpha -2 -2)) (sqrt.f64 beta)))
(.f64 (/.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(.f64 (/.f64 (sqrt.f64 (-.f64 -2 (.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) (cbrt.f64 beta)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -2 alpha -2)) (/.f64 (sqrt.f64 (fma.f64 -2 alpha -2)) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 alpha -2 -2)) (/.f64 (sqrt.f64 (fma.f64 alpha -2 -2)) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 1)
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 3)
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 3) 1/3)
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)) 2)
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(pow.f64 (/.f64 beta (-.f64 -2 (*.f64 alpha 2))) -1)
(/.f64 1 (/.f64 beta (fma.f64 -2 alpha -2)))
(/.f64 1 (/.f64 beta (fma.f64 alpha -2 -2)))
(neg.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) (neg.f64 beta)))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(neg.f64 (/.f64 (neg.f64 (-.f64 -2 (*.f64 alpha 2))) beta))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -2 alpha -2) beta) 2))
(fabs.f64 (/.f64 (fma.f64 alpha -2 -2) beta))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta))))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta) 3))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -2 alpha -2) beta)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha -2 -2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 alpha 2)) beta)))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) 1))
(-.f64 (*.f64 (/.f64 alpha beta) -2) (/.f64 2 beta))
(/.f64 (fma.f64 alpha -2 -2) beta)

eval449.0ms (4.8%)

Compiler: Compiled 17119 to 12706 computations (25.8% saved)

prune168.0ms (1.8%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	806	11	817
Fresh	4	3	7
Picked	2	3	5
Done	0	1	1
Total	812	18	830

Accuracy

99.9%

Counts

830 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
▶	21.7%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
	29.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	25.0%	(/.f64 (/.f64 (+.f64 2 (+.f64 (-.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
▶	23.3%	(/.f64 (/.f64 2 alpha) 2)
▶	27.9%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	51.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	51.7%	(/.f64 (-.f64 1 (*.f64 alpha (/.f64 1 (+.f64 alpha 2)))) 2)
	48.3%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	71.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 beta)) 1) 2)
	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1) 2)
✓	71.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
▶	75.2%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	27.7%	(/.f64 (+.f64 beta (+.f64 -1 (.f64 -1/2 (.f64 alpha 2)))) beta)
	31.3%	(/.f64 (+.f64 2 (/.f64 (*.f64 alpha -2) beta)) 2)
✓	35.6%	(/.f64 2 2)

Compiler

Compiled 414 to 328 computations (20.8% saved)

localize398.0ms (4.2%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 alpha 2))
✓	99.9%	(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
✓	69.0%	(-.f64 1 (*.f64 alpha (/.f64 1 (+.f64 alpha 2))))
✓	100.0%	(-.f64 2 (/.f64 4 alpha))
✓	99.9%	(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
	100.0%	(+.f64 beta (+.f64 alpha 2))
✓	99.9%	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
✓	99.8%	(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
✓	75.3%	(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)

Compiler

Compiled 158 to 108 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

Operation ival-div, time spent: 152.0ms, 64.0% of total-time

Operation ival-add, time spent: 46.0ms, 19.0% of total-time

Operation ival-sub, time spent: 15.0ms, 6.0% of total-time

Operation ival-mult, time spent: 13.0ms, 6.0% of total-time

Operation const, time spent: 10.0ms, 4.0% of total-time

series22.0ms (0.2%)

Counts

8 → 132

Calls

Call 1

Inputs
#<alt (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)>
#<alt (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))>
#<alt (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))>
#<alt (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)>
#<alt (-.f64 2 (/.f64 4 alpha))>
#<alt (-.f64 1 (*.f64 alpha (/.f64 1 (+.f64 alpha 2))))>
#<alt (*.f64 alpha (/.f64 1 (+.f64 alpha 2)))>
#<alt (/.f64 1 (+.f64 alpha 2))>

Outputs
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt -1>
#<alt (-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))>
#<alt -1>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (.f64 -1 beta) (+.f64 2 beta))) alpha)) (.f64 -1 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha))>
#<alt (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (.f64 beta (-.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 alpha 3)))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (.f64 beta (-.f64 (.f64 beta (-.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 4)))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 alpha 3)))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) (.f64 -1 (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (pow.f64 beta 2))))) (.f64 -1 (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (pow.f64 beta 3))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) (.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (.f64 -1 (/.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) beta))) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (/.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) beta)) beta))) beta)))>
#<alt (/.f64 (+.f64 2 beta) beta)>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (/.f64 (.f64 alpha (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) beta)) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2)))) beta)))) (/.f64 1 beta)) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (.f64 2 (/.f64 1 beta))))>
#<alt -1>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 1 (/.f64 beta alpha)))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 beta (-.f64 (*.f64 -1 (+.f64 2 beta)) beta)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (+.f64 2 beta)) beta)) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 (.f64 -1 (+.f64 2 beta)) beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))))>
#<alt -1>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (.f64 -1 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (/.f64 (.f64 beta (-.f64 (+.f64 2 beta) (.f64 -1 beta))) alpha))) (.f64 -1 beta)) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 2 beta) (.f64 -1 beta))) alpha)) (.f64 beta (-.f64 (+.f64 2 beta) (.f64 -1 beta)))) alpha)))) (.f64 -1 beta)) alpha)) 1)>
#<alt (/.f64 -4 (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))>
#<alt (/.f64 2 alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 2 alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (/.f64 -4 alpha)>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)>
#<alt 2>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt 2>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 alpha))>
#<alt (+.f64 1 (.f64 alpha (-.f64 (.f64 1/4 alpha) 1/2)))>
#<alt (+.f64 1 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/4 (*.f64 -1/8 alpha))) 1/2)))>
#<alt (/.f64 2 alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3))))) alpha)>
#<alt (/.f64 2 alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (*.f64 1/2 alpha)>
#<alt (.f64 alpha (+.f64 1/2 (.f64 -1/4 alpha)))>
#<alt (.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (*.f64 1/8 alpha) 1/4))))>
#<alt (.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/8 (.f64 -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 alpha)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 alpha))) alpha)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))) alpha)))>
#<alt 1/2>
#<alt (+.f64 1/2 (*.f64 -1/4 alpha))>
#<alt (+.f64 1/2 (.f64 alpha (-.f64 (.f64 1/8 alpha) 1/4)))>
#<alt (+.f64 1/2 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/8 (*.f64 -1/16 alpha))) 1/4)))>
#<alt (/.f64 1 alpha)>
#<alt (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))) alpha)>
#<alt (/.f64 1 alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) 1) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	-inf	(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
2.0ms	alpha	@	0	(/ (- 2 (/ 4 alpha)) alpha)
1.0ms	beta	@	0	(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
1.0ms	beta	@	0	(/ (+ beta (+ alpha 2)) (- beta alpha))
1.0ms	alpha	@	0	(/ (+ beta (+ alpha 2)) (- beta alpha))

rewrite209.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1123×	`log1p-expm1-u`
226×	`associate-r`
187×	`expm1-log1p-u`
185×	`add-cube-cbrt`
183×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	230
1	392	218
2	6248	218

Stop Event

1×	node limit

Counts

8 → 267

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 1 (-.f64 beta alpha)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) (-.f64 beta alpha))
(.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)))
(.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (neg.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
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simplify246.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-define`
618×	`sub-neg`
554×	`distribute-rgt-in`
552×	`distribute-lft-in`
456×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1083	19647
1	3012	18677

Stop Event

1×	node limit

Counts

399 → 620

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (.f64 -1 beta) (+.f64 2 beta))) alpha)) (.f64 -1 (.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)
(*.f64 -1 (/.f64 (+.f64 2 alpha) alpha))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (.f64 beta (-.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 alpha 3)))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (.f64 beta (-.f64 (.f64 beta (-.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 4)))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 alpha 3)))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
1
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) (.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (pow.f64 beta 2))))) (.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (pow.f64 beta 3))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha))) (pow.f64 beta 2)))))
1
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) (.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (.f64 -1 (/.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) beta))) beta)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 alpha (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) (/.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 2 alpha) (.f64 -1 alpha))) beta)) beta))) beta)))
(/.f64 (+.f64 2 beta) beta)
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (+.f64 (/.f64 1 beta) (/.f64 (.f64 alpha (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) beta)) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2)))) beta)))) (/.f64 1 beta)) (.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 beta 2))))) (.f64 2 (/.f64 1 beta))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 beta (-.f64 (*.f64 -1 (+.f64 2 beta)) beta)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (+.f64 2 beta)) beta)) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 (.f64 -1 (+.f64 2 beta)) beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (.f64 -1 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (/.f64 (.f64 beta (-.f64 (+.f64 2 beta) (.f64 -1 beta))) alpha))) (.f64 -1 beta)) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 2 beta) (.f64 -1 beta))) alpha)) (.f64 beta (-.f64 (+.f64 2 beta) (.f64 -1 beta)))) alpha)))) (.f64 -1 beta)) alpha)) 1)
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))
(/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))
(/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))
(/.f64 2 alpha)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 2 alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))
(/.f64 -4 alpha)
(/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)
(/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)
(/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)
2
(-.f64 2 (*.f64 4 (/.f64 1 alpha)))
(-.f64 2 (*.f64 4 (/.f64 1 alpha)))
(-.f64 2 (*.f64 4 (/.f64 1 alpha)))
2
(-.f64 2 (*.f64 4 (/.f64 1 alpha)))
(-.f64 2 (*.f64 4 (/.f64 1 alpha)))
(-.f64 2 (*.f64 4 (/.f64 1 alpha)))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (.f64 alpha (-.f64 (.f64 1/4 alpha) 1/2)))
(+.f64 1 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/4 (*.f64 -1/8 alpha))) 1/2)))
(/.f64 2 alpha)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3))))) alpha)
(/.f64 2 alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(*.f64 1/2 alpha)
(.f64 alpha (+.f64 1/2 (.f64 -1/4 alpha)))
(.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (*.f64 1/8 alpha) 1/4))))
(.f64 alpha (+.f64 1/2 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/8 (.f64 -1/16 alpha))) 1/4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 2 (.f64 4 (/.f64 1 alpha))) alpha)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))) alpha)))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 1/2 (.f64 alpha (-.f64 (.f64 1/8 alpha) 1/4)))
(+.f64 1/2 (.f64 alpha (-.f64 (.f64 alpha (+.f64 1/8 (*.f64 -1/16 alpha))) 1/4)))
(/.f64 1 alpha)
(/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))) alpha)
(/.f64 1 alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha)) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)))
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(/.f64 (neg.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 16 (pow.f64 alpha 2)) (/.f64 8 alpha)))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 16 (pow.f64 alpha 2)))) (neg.f64 (+.f64 2 (/.f64 4 alpha))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 4 (-.f64 (.f64 (/.f64 -4 alpha) (/.f64 -4 alpha)) (.f64 2 (/.f64 -4 alpha)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha))) (-.f64 2 (/.f64 -4 alpha)))
(pow.f64 (+.f64 2 (/.f64 -4 alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 -4 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -4 alpha)))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -4 alpha))))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -4 alpha))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -4 alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -4 alpha))) 1))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(/.f64 1 (/.f64 (+.f64 alpha 2) alpha))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (neg.f64 alpha) (+.f64 (neg.f64 alpha) -2))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 alpha 1) (+.f64 alpha 2))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 alpha -1) (+.f64 (neg.f64 alpha) -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 alpha) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (-.f64 4 (.f64 alpha 2))))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (+.f64 alpha 2) -1)
(pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 alpha 2)))
(sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.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 1 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (-.f64 -2 alpha))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 -1 (-.f64 -2 alpha)))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (fma.f64 beta (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (+.f64 (/.f64 -1 (pow.f64 (-.f64 -2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (-.f64 -2 alpha)))) (/.f64 alpha (-.f64 -2 alpha))))
2
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) 2) (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(-.f64 (+.f64 2 (fma.f64 -1 (.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 (-.f64 2 (.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.f64 (.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.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 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta)))
(-.f64 2 (/.f64 (-.f64 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) (-.f64 (-.f64 -2 alpha) alpha)) beta))
(+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 2 (neg.f64 (/.f64 (.f64 -1 (+.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (fma.f64 -1 (.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta))) beta)))
(-.f64 2 (/.f64 (-.f64 (+.f64 alpha (neg.f64 (-.f64 -2 alpha))) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (-.f64 -2 alpha))) beta)) beta))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (/.f64 1 (+.f64 2 beta)))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (.f64 alpha (-.f64 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 alpha (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (.f64 2 beta)) (/.f64 (.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (+.f64 (-.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))) (fma.f64 -1 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) alpha)))) alpha)
(/.f64 (+.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (-.f64 (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))) (-.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3)) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (fma.f64 -1 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))) alpha)
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(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 alpha (+.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 alpha))))
(*.f64 1 (/.f64 1 (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 alpha) -2)))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) 1) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (cbrt.f64 (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) 1) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (cbrt.f64 (+.f64 alpha 2)))
(*.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 alpha 2)) -2)
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (-.f64 4 (.f64 alpha 2))))
(/.f64 (fma.f64 alpha alpha (+.f64 4 (*.f64 alpha -2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (fma.f64 alpha alpha -4))
(pow.f64 (+.f64 alpha 2) -1)
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(neg.f64 (/.f64 -1 (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))
(/.f64 1 (+.f64 alpha 2))
(/.f64 -1 (-.f64 -2 alpha))

eval348.0ms (3.7%)

Compiler: Compiled 15779 to 11535 computations (26.9% saved)

prune153.0ms (1.6%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	690	4	694
Fresh	1	8	9
Picked	0	5	5
Done	0	4	4
Total	691	21	712

Accuracy

99.9%

Counts

712 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
✓	21.7%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
	50.4%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
	25.0%	(/.f64 (/.f64 (+.f64 (-.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
▶	21.7%	(/.f64 (/.f64 (+.f64 (+.f64 3 (/.f64 -4 alpha)) -1) alpha) 2)
	29.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	23.3%	(/.f64 (/.f64 2 alpha) 2)
	50.4%	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1))) 2)
✓	27.9%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	51.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	51.7%	(/.f64 (-.f64 1 (*.f64 alpha (/.f64 1 (+.f64 alpha 2)))) 2)
	48.3%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	71.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 beta)) 1) 2)
▶	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1) 2)
✓	71.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
✓	75.2%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
▶	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	27.7%	(/.f64 (+.f64 beta (+.f64 -1 (.f64 -1/2 (.f64 alpha 2)))) beta)
▶	31.3%	(/.f64 (+.f64 2 (/.f64 (*.f64 alpha -2) beta)) 2)
✓	35.6%	(/.f64 2 2)

Compiler

Compiled 503 to 387 computations (23.1% saved)

localize442.0ms (4.7%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 3 (/.f64 -4 alpha))
✓	100.0%	(+.f64 (+.f64 3 (/.f64 -4 alpha)) -1)
✓	99.9%	(/.f64 (+.f64 (+.f64 3 (/.f64 -4 alpha)) -1) alpha)
✓	100.0%	(/.f64 (+.f64 beta (+.f64 -1 (.f64 -1/2 (.f64 alpha 2)))) beta)
✓	99.7%	(/.f64 (+.f64 2 (/.f64 (*.f64 alpha -2) beta)) 2)
✓	100.0%	(/.f64 (+.f64 alpha 2) beta)
✓	100.0%	(/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))
✓	87.7%	(*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))
✓	75.3%	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1)

Compiler

Compiled 219 to 156 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

Operation ival-div, time spent: 86.0ms, 37.0% of total-time

Operation ival-mult, time spent: 62.0ms, 27.0% of total-time

Operation ival-add, time spent: 49.0ms, 21.0% of total-time

Operation const, time spent: 13.0ms, 6.0% of total-time

Operation ival-sub, time spent: 13.0ms, 6.0% of total-time

Operation ival-neg, time spent: 10.0ms, 4.0% of total-time

series31.0ms (0.3%)

Counts

9 → 180

Calls

Call 1

Inputs
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1)>
#<alt (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))>
#<alt (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))>
#<alt (/.f64 (+.f64 alpha 2) beta)>
#<alt (/.f64 (+.f64 2 (/.f64 (*.f64 alpha -2) beta)) 2)>
#<alt (/.f64 (+.f64 beta (+.f64 -1 (.f64 -1/2 (.f64 alpha 2)))) beta)>
#<alt (/.f64 (+.f64 (+.f64 3 (/.f64 -4 alpha)) -1) alpha)>
#<alt (+.f64 (+.f64 3 (/.f64 -4 alpha)) -1)>
#<alt (+.f64 3 (/.f64 -4 alpha))>

Outputs
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 2>
#<alt (+.f64 2 (.f64 -1 (/.f64 (-.f64 alpha (.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (+.f64 1 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2))) (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))))>
#<alt (+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3))) (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2))) (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))))>
#<alt (/.f64 (+.f64 beta (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha)) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha)) (+.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)) (pow.f64 alpha 3))) (+.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha) (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (*.f64 2 (/.f64 1 beta))) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha) (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha) (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) alpha)) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))) alpha))) (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta))))) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) alpha) (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)) alpha)) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)))) alpha)) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))) alpha))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha))>
#<alt (+.f64 2 alpha)>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt (+.f64 2 (+.f64 alpha beta))>
#<alt beta>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt (.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt beta>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))>
#<alt (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))>
#<alt (+.f64 alpha (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 alpha (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 alpha (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))>
#<alt alpha>
#<alt (.f64 alpha (+.f64 1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)))>
#<alt (.f64 alpha (+.f64 1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)))>
#<alt (.f64 alpha (+.f64 1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)))>
#<alt alpha>
#<alt (.f64 -1 (.f64 alpha (-.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) 1)))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) 1)))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) 1)))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 alpha (.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))>
#<alt (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2))))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta)))))>
#<alt (+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3))) (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)))))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (.f64 2 (/.f64 1 beta)))))>
#<alt -1>
#<alt (-.f64 (/.f64 beta alpha) (+.f64 1 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 beta (.f64 -1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha))))>
#<alt (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2) (-.f64 beta (.f64 -1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha)) (/.f64 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 beta (.f64 -1 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))))))) (pow.f64 alpha 2)))))>
#<alt -1>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))))) alpha))) (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta))))) alpha)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2) (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))))) alpha)) (.f64 -1 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))))))) alpha))) (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta))))) alpha)) 1)>
#<alt (/.f64 2 beta)>
#<alt (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))>
#<alt (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))>
#<alt (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))>
#<alt (/.f64 alpha beta)>
#<alt (.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (/.f64 alpha beta)>
#<alt (.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt (/.f64 (+.f64 2 alpha) beta)>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))>
#<alt (*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))>
#<alt (*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (/.f64 1 beta) (/.f64 1 alpha))))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (/.f64 1 beta) (/.f64 1 alpha))))>
#<alt (.f64 -1 (.f64 alpha (-.f64 (/.f64 1 beta) (/.f64 1 alpha))))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (/.f64 (+.f64 beta (*.f64 -1 alpha)) beta)>
#<alt (/.f64 (+.f64 beta (*.f64 -1 alpha)) beta)>
#<alt (/.f64 (+.f64 beta (*.f64 -1 alpha)) beta)>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 alpha beta)))>
#<alt (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)>
#<alt (/.f64 (-.f64 (+.f64 beta (*.f64 -1 alpha)) 1) beta)>
#<alt (/.f64 (-.f64 (+.f64 beta (*.f64 -1 alpha)) 1) beta)>
#<alt (/.f64 (-.f64 (+.f64 beta (*.f64 -1 alpha)) 1) beta)>
#<alt 1>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (/.f64 (-.f64 beta 1) beta)>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (.f64 alpha (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 alpha beta)))))>
#<alt (.f64 alpha (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 alpha beta)))))>
#<alt (.f64 alpha (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 alpha beta)))))>
#<alt (*.f64 -1 (/.f64 alpha beta))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 beta)) alpha)) (/.f64 1 beta))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 beta)) alpha)) (/.f64 1 beta))))>
#<alt (.f64 -1 (.f64 alpha (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 beta)) alpha)) (/.f64 1 beta))))>
#<alt (/.f64 -4 (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) (pow.f64 alpha 2))>
#<alt (/.f64 2 alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 2 alpha)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (/.f64 -4 alpha)>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 2 alpha) 4) alpha)>
#<alt 2>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt 2>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 2 (*.f64 4 (/.f64 1 alpha)))>
#<alt (/.f64 -4 alpha)>
#<alt (/.f64 (-.f64 (*.f64 3 alpha) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 3 alpha) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 3 alpha) 4) alpha)>
#<alt 3>
#<alt (-.f64 3 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 3 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 3 (*.f64 4 (/.f64 1 alpha)))>
#<alt 3>
#<alt (-.f64 3 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 3 (*.f64 4 (/.f64 1 alpha)))>
#<alt (-.f64 3 (*.f64 4 (/.f64 1 alpha)))>

Calls

45 calls:

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

rewrite105.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`log1p-expm1-u`
297×	`expm1-log1p-u`
292×	`add-cube-cbrt`
290×	`add-exp-log`
290×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	315
1	622	295

Stop Event

1×	node limit

Counts

9 → 227

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) (-.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)) (/.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))
(.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))
(.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 3) 1)))
(/.f64 1 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) 1)) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2) (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1))
(fma.f64 (-.f64 beta alpha) (/.f64 -1 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1)
(pow.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))) 1)
(pow.f64 (cbrt.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 3)
(pow.f64 (pow.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) 2)
(neg.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))
(sqrt.f64 (pow.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))) 2))
(log.f64 (pow.f64 (exp.f64 beta) (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))))
(cbrt.f64 (pow.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))
(log1p.f64 (expm1.f64 (*.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta)))))
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(-.f64 (/.f64 9 (-.f64 3 (/.f64 -4 alpha))) (/.f64 (/.f64 16 (pow.f64 alpha 2)) (-.f64 3 (/.f64 -4 alpha))))
(*.f64 1 (+.f64 3 (/.f64 -4 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))))
(*.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))))
(/.f64 1 (/.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha)))) (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))))
(/.f64 1 (/.f64 (-.f64 3 (/.f64 -4 alpha)) (-.f64 9 (/.f64 16 (pow.f64 alpha 2)))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha)))))
(/.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2))) (-.f64 3 (/.f64 -4 alpha)))
(/.f64 (neg.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha))))))
(/.f64 (neg.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2)))) (neg.f64 (-.f64 3 (/.f64 -4 alpha))))
(/.f64 (+.f64 (/.f64 -64 (pow.f64 alpha 3)) 27) (+.f64 (/.f64 16 (pow.f64 alpha 2)) (-.f64 9 (*.f64 (/.f64 -4 alpha) 3))))
(pow.f64 (+.f64 3 (/.f64 -4 alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 3)
(pow.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2))
(log.f64 (exp.f64 (+.f64 3 (/.f64 -4 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (/.f64 -4 alpha)))))
(cbrt.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 3 (/.f64 -4 alpha))))
(log1p.f64 (expm1.f64 (+.f64 3 (/.f64 -4 alpha))))
(exp.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))) 1))
(fma.f64 1 (/.f64 -4 alpha) 3)
(fma.f64 -4 (/.f64 1 alpha) 3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (cbrt.f64 (/.f64 -4 alpha)) 3)
(fma.f64 (sqrt.f64 (/.f64 -4 alpha)) (sqrt.f64 (/.f64 -4 alpha)) 3)

simplify267.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1906×	`fma-neg`
576×	`*-commutative`
524×	`+-commutative`
502×	`fma-define`
472×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	860	19464
1	2296	17858
2	7728	17820

Stop Event

1×	node limit

Counts

407 → 533

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
2
(+.f64 2 (.f64 -1 (/.f64 (-.f64 alpha (.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 1 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta)))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2))) (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))))
(+.f64 1 (+.f64 (.f64 alpha (-.f64 (.f64 alpha (+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3))) (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2))) (/.f64 1 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))))
(/.f64 (+.f64 beta (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha)
(/.f64 (-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha)) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) alpha)
(/.f64 (-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha)) (+.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha))) alpha)
(/.f64 (-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)) (pow.f64 alpha 3))) (+.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) (pow.f64 alpha 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha) (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (*.f64 2 (/.f64 1 beta))) 3)) (pow.f64 alpha 3))))) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha) (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) alpha) (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) alpha)) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))) alpha))) (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta))))) alpha))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)) alpha) (/.f64 (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)) alpha)) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3)))) alpha)) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 1 (.f64 2 (/.f64 1 beta)))) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))) alpha))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
(.f64 beta (+.f64 1 (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))
beta
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)))
(.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))
(+.f64 alpha (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))
(+.f64 alpha (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))
(+.f64 alpha (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))
alpha
(.f64 alpha (+.f64 1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)))
(.f64 alpha (+.f64 1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)))
(.f64 alpha (+.f64 1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)))
alpha
(.f64 -1 (.f64 alpha (-.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) 1)))
(.f64 -1 (.f64 alpha (-.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) 1)))
(.f64 -1 (.f64 alpha (-.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha)) 1)))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 alpha (.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))
(/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (.f64 alpha (-.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2))))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 1 beta)))))
(+.f64 (.f64 alpha (-.f64 (.f64 alpha (-.f64 (.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 3))) (/.f64 1 (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 4)))))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2)))))) (/.f64 1 (+.f64 1 (.f64 2 (/.f64 1 beta)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))) alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 beta (.f64 -1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha))))
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2) (-.f64 beta (.f64 -1 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))))))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta)))) alpha)) (/.f64 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 beta (.f64 -1 (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta)))))))) (pow.f64 alpha 2)))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))))) alpha))) (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta))))) alpha)) 1)
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) 2) (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))))) alpha)) (.f64 -1 (.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 beta))) (-.f64 (.f64 -1 beta) (.f64 beta (+.f64 1 (.f64 2 (/.f64 1 beta))))))))) alpha))) (.f64 beta (+.f64 1 (*.f64 2 (/.f64 1 beta))))) alpha)) 1)
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))
(/.f64 alpha beta)
(.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(/.f64 alpha beta)
(.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(.f64 alpha (+.f64 (/.f64 1 beta) (.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
(/.f64 (+.f64 2 alpha) beta)
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))
(*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))
(*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))
(*.f64 -1 (/.f64 alpha beta))
(.f64 -1 (.f64 alpha (-.f64 (/.f64 1 beta) (/.f64 1 alpha))))
(.f64 -1 (.f64 alpha (-.f64 (/.f64 1 beta) (/.f64 1 alpha))))
(.f64 -1 (.f64 alpha (-.f64 (/.f64 1 beta) (/.f64 1 alpha))))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (+.f64 beta (*.f64 -1 alpha)) beta)
(/.f64 (+.f64 beta (*.f64 -1 alpha)) beta)
(/.f64 (+.f64 beta (*.f64 -1 alpha)) beta)
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 alpha)) 1) beta)
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 alpha)) 1) beta)
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 alpha)) 1) beta)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
1
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 -1/2 (.f64 alpha 2) -1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1))) beta))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 -1/2 (.f64 alpha 2) -1))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 -1/2 (.f64 alpha 2) -1))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1))) (sqrt.f64 beta)))
(.f64 (/.f64 (sqrt.f64 (+.f64 beta (fma.f64 -1/2 (.f64 alpha 2) -1))) 1) (/.f64 (sqrt.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1))) beta))
(.f64 (/.f64 (sqrt.f64 (+.f64 beta (fma.f64 -1/2 (.f64 alpha 2) -1))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1))) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)) 2)
(pow.f64 (/.f64 beta (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (*.f64 alpha 2) -1)) beta)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 beta (fma.f64 -1/2 (.f64 alpha 2) -1)) beta)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha))
(*.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1)) (/.f64 1 (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1)))
(*.f64 1 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2) (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(*.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) -1))) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1) (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) -1) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1) (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1)) (neg.f64 (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (*.f64 -1 (+.f64 3 (/.f64 -4 alpha))))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 (/.f64 -4 alpha) -1) 3)) (+.f64 9 (-.f64 (.f64 (+.f64 (/.f64 -4 alpha) -1) (+.f64 (/.f64 -4 alpha) -1)) (.f64 3 (+.f64 (/.f64 -4 alpha) -1)))))
(pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 2))
(log.f64 (exp.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(log1p.f64 (expm1.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(exp.f64 (log.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 1))
(fma.f64 1 (+.f64 3 (/.f64 -4 alpha)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) -1)
(fma.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 3 (/.f64 -4 alpha)))) 1)
(-.f64 (/.f64 9 (-.f64 3 (/.f64 -4 alpha))) (/.f64 (/.f64 16 (pow.f64 alpha 2)) (-.f64 3 (/.f64 -4 alpha))))
(*.f64 1 (+.f64 3 (/.f64 -4 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))))
(*.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))))
(/.f64 1 (/.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha)))) (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))))
(/.f64 1 (/.f64 (-.f64 3 (/.f64 -4 alpha)) (-.f64 9 (/.f64 16 (pow.f64 alpha 2)))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha)))))
(/.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2))) (-.f64 3 (/.f64 -4 alpha)))
(/.f64 (neg.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha))))))
(/.f64 (neg.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2)))) (neg.f64 (-.f64 3 (/.f64 -4 alpha))))
(/.f64 (+.f64 (/.f64 -64 (pow.f64 alpha 3)) 27) (+.f64 (/.f64 16 (pow.f64 alpha 2)) (-.f64 9 (*.f64 (/.f64 -4 alpha) 3))))
(pow.f64 (+.f64 3 (/.f64 -4 alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 3)
(pow.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2))
(log.f64 (exp.f64 (+.f64 3 (/.f64 -4 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (/.f64 -4 alpha)))))
(cbrt.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 3 (/.f64 -4 alpha))))
(log1p.f64 (expm1.f64 (+.f64 3 (/.f64 -4 alpha))))
(exp.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))) 1))
(fma.f64 1 (/.f64 -4 alpha) 3)
(fma.f64 -4 (/.f64 1 alpha) 3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (cbrt.f64 (/.f64 -4 alpha)) 3)
(fma.f64 (sqrt.f64 (/.f64 -4 alpha)) (sqrt.f64 (/.f64 -4 alpha)) 3)

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 beta (fma.f64 alpha (/.f64 -1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (.f64 beta (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (.f64 beta (fma.f64 beta (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (-.f64 -2 alpha))))
2
(-.f64 (+.f64 2 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (.f64 -1 (+.f64 (/.f64 alpha beta) (.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 2 (fma.f64 -1 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (pow.f64 beta 2)) (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 (-.f64 -2 alpha) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha beta) (.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 3)))) (+.f64 (/.f64 2 beta) (+.f64 (/.f64 alpha beta) (.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))))))
(+.f64 2 (-.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (pow.f64 beta 3)) (/.f64 (neg.f64 alpha) beta)) (+.f64 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (pow.f64 beta 2))) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 (-.f64 -2 alpha) beta) (*.f64 (-.f64 -2 alpha) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (pow.f64 beta 2))))))
2
(+.f64 2 (.f64 -1 (/.f64 (-.f64 alpha (.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 2 (neg.f64 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta)))
(-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
(+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha (-.f64 (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) beta) (+.f64 -2 (neg.f64 alpha)))) beta)))
(-.f64 2 (/.f64 (+.f64 (*.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (+.f64 alpha (+.f64 alpha 2))) beta))
(-.f64 2 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (+.f64 alpha 2))) beta))
(+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 alpha (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))) beta)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 alpha (.f64 -1 (+.f64 2 alpha)))))) beta))) (*.f64 -1 (+.f64 2 alpha))) beta)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 1)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 3)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 3) 1/3)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 2)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (/.f64 alpha (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) -1)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2))
(fabs.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha) 3))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 3) (pow.f64 alpha 3)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) alpha)) 1))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))))) 1)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(-.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1)) (/.f64 1 (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) -1) (+.f64 3 (-.f64 (/.f64 -4 alpha) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2)) (+.f64 4 (/.f64 -4 alpha)))
(*.f64 1 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2) (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(*.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) -1))) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) -1)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (neg.f64 (+.f64 3 (/.f64 -4 alpha)))))) (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)))
(.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 3 (/.f64 -4 alpha)) (+.f64 4 (/.f64 -4 alpha))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1) (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1)))
(*.f64 (/.f64 1 (+.f64 3 (-.f64 (/.f64 -4 alpha) -1))) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) -1))
(*.f64 (/.f64 1 (+.f64 4 (/.f64 -4 alpha))) (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) -1) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (neg.f64 (+.f64 3 (/.f64 -4 alpha))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (+.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) (+.f64 4 (/.f64 -4 alpha)))))
(/.f64 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1) (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) -1) (+.f64 3 (-.f64 (/.f64 -4 alpha) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2)) (+.f64 4 (/.f64 -4 alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) -1)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (neg.f64 (+.f64 3 (/.f64 -4 alpha)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (-.f64 (neg.f64 (+.f64 4 (/.f64 -4 alpha))) (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1)) (neg.f64 (-.f64 (+.f64 3 (/.f64 -4 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) -1)) (neg.f64 (+.f64 3 (-.f64 (/.f64 -4 alpha) -1))))
(*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2)) (+.f64 4 (/.f64 -4 alpha))))
(/.f64 (fma.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) 1) (neg.f64 (+.f64 4 (/.f64 -4 alpha))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (*.f64 -1 (+.f64 3 (/.f64 -4 alpha))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2) (-.f64 1 (neg.f64 (+.f64 3 (/.f64 -4 alpha))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3)) (+.f64 1 (*.f64 (+.f64 3 (/.f64 -4 alpha)) (+.f64 4 (/.f64 -4 alpha)))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 (/.f64 -4 alpha) -1) 3)) (+.f64 9 (-.f64 (.f64 (+.f64 (/.f64 -4 alpha) -1) (+.f64 (/.f64 -4 alpha) -1)) (.f64 3 (+.f64 (/.f64 -4 alpha) -1)))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 -1 (/.f64 -4 alpha)) 3)) (+.f64 9 (*.f64 (+.f64 -1 (/.f64 -4 alpha)) (-.f64 (+.f64 -1 (/.f64 -4 alpha)) 3))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 -1 (/.f64 -4 alpha)) 3)) (fma.f64 (+.f64 -1 (/.f64 -4 alpha)) (+.f64 (/.f64 -4 alpha) -4) 9))
(pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 1)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 3)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(pow.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 3) 1/3)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(pow.f64 (sqrt.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 2)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(sqrt.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 2))
(fabs.f64 (+.f64 2 (/.f64 -4 alpha)))
(log.f64 (exp.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(cbrt.f64 (pow.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha))) 3))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(expm1.f64 (log1p.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(log1p.f64 (expm1.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(exp.f64 (log.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (+.f64 3 (/.f64 -4 alpha)))) 1))
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(fma.f64 1 (+.f64 3 (/.f64 -4 alpha)) -1)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) -1)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(fma.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) -1)
(-.f64 2 (/.f64 4 alpha))
(+.f64 2 (/.f64 -4 alpha))
(-.f64 (exp.f64 (log1p.f64 (+.f64 3 (/.f64 -4 alpha)))) 1)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(-.f64 (/.f64 9 (-.f64 3 (/.f64 -4 alpha))) (/.f64 (/.f64 16 (pow.f64 alpha 2)) (-.f64 3 (/.f64 -4 alpha))))
(/.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2))) (-.f64 3 (/.f64 -4 alpha)))
(/.f64 (+.f64 9 (/.f64 -16 (pow.f64 alpha 2))) (+.f64 3 (/.f64 4 alpha)))
(*.f64 1 (+.f64 3 (/.f64 -4 alpha)))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(*.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(/.f64 1 (/.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha)))) (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))))
(/.f64 1 (/.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (/.f64 -12 alpha))) (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))))
(*.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 (/.f64 16 (pow.f64 alpha 2)) (+.f64 9 (/.f64 12 alpha)))))
(/.f64 1 (/.f64 (-.f64 3 (/.f64 -4 alpha)) (-.f64 9 (/.f64 16 (pow.f64 alpha 2)))))
(*.f64 (/.f64 1 (-.f64 3 (/.f64 -4 alpha))) (-.f64 9 (/.f64 16 (pow.f64 alpha 2))))
(*.f64 (+.f64 9 (/.f64 -16 (pow.f64 alpha 2))) (/.f64 1 (+.f64 3 (/.f64 4 alpha))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha)))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (/.f64 -12 alpha))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 (/.f64 16 (pow.f64 alpha 2)) (+.f64 9 (/.f64 12 alpha))))
(/.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2))) (-.f64 3 (/.f64 -4 alpha)))
(/.f64 (+.f64 9 (/.f64 -16 (pow.f64 alpha 2))) (+.f64 3 (/.f64 4 alpha)))
(/.f64 (neg.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (*.f64 3 (/.f64 -4 alpha))))))
(/.f64 (+.f64 -27 (neg.f64 (/.f64 -64 (pow.f64 alpha 3)))) (+.f64 -9 (neg.f64 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (/.f64 -12 alpha)))))
(/.f64 (+.f64 -27 (/.f64 64 (pow.f64 alpha 3))) (-.f64 -9 (+.f64 (/.f64 16 (pow.f64 alpha 2)) (/.f64 12 alpha))))
(/.f64 (neg.f64 (-.f64 9 (/.f64 16 (pow.f64 alpha 2)))) (neg.f64 (-.f64 3 (/.f64 -4 alpha))))
(/.f64 (-.f64 -9 (/.f64 -16 (pow.f64 alpha 2))) (+.f64 -3 (/.f64 -4 alpha)))
(/.f64 (+.f64 (/.f64 -64 (pow.f64 alpha 3)) 27) (+.f64 (/.f64 16 (pow.f64 alpha 2)) (-.f64 9 (*.f64 (/.f64 -4 alpha) 3))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 9 (-.f64 (/.f64 16 (pow.f64 alpha 2)) (/.f64 -12 alpha))))
(/.f64 (+.f64 27 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 (/.f64 16 (pow.f64 alpha 2)) (+.f64 9 (/.f64 12 alpha))))
(pow.f64 (+.f64 3 (/.f64 -4 alpha)) 1)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(pow.f64 (cbrt.f64 (+.f64 3 (/.f64 -4 alpha))) 3)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(pow.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3) 1/3)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(pow.f64 (sqrt.f64 (+.f64 3 (/.f64 -4 alpha))) 2)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(sqrt.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 2))
(fabs.f64 (+.f64 3 (/.f64 -4 alpha)))
(log.f64 (exp.f64 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (/.f64 -4 alpha)))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(cbrt.f64 (pow.f64 (+.f64 3 (/.f64 -4 alpha)) 3))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(expm1.f64 (log1p.f64 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(log1p.f64 (expm1.f64 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(exp.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))) 1))
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(fma.f64 1 (/.f64 -4 alpha) 3)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(fma.f64 -4 (/.f64 1 alpha) 3)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (cbrt.f64 (/.f64 -4 alpha)) 3)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))
(fma.f64 (sqrt.f64 (/.f64 -4 alpha)) (sqrt.f64 (/.f64 -4 alpha)) 3)
(-.f64 3 (/.f64 4 alpha))
(+.f64 3 (/.f64 -4 alpha))

eval263.0ms (2.8%)

Compiler: Compiled 13893 to 10421 computations (25% saved)

prune106.0ms (1.1%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	528	5	533
Fresh	0	7	7
Picked	3	2	5
Done	1	8	9
Total	532	22	554

Accuracy

99.9%

Counts

554 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
✓	21.7%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
	50.4%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
	25.0%	(/.f64 (/.f64 (+.f64 (-.f64 (.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
✓	21.7%	(/.f64 (/.f64 (+.f64 (+.f64 3 (/.f64 -4 alpha)) -1) alpha) 2)
	29.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	23.3%	(/.f64 (/.f64 2 alpha) 2)
	50.4%	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1))) 2)
	27.9%	(/.f64 (-.f64 beta 1) beta)
✓	51.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	51.7%	(/.f64 (-.f64 1 (*.f64 alpha (/.f64 1 (+.f64 alpha 2)))) 2)
	48.3%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	71.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 beta)) 1) 2)
	33.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 beta (neg.f64 (-.f64 -1 (/.f64 alpha beta))))) 1) 2)
✓	71.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
✓	75.2%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
	27.7%	(/.f64 (+.f64 (-.f64 beta alpha) -1) beta)
✓	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	35.6%	(/.f64 2 2)
	31.3%	(-.f64 1 (/.f64 alpha beta))
	31.2%	(*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 beta)))

Compiler

Compiled 704 to 511 computations (27.4% saved)

regimes130.0ms (1.4%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

5 calls:

54.0ms	beta
36.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.3%	2	`alpha`
77.0%	3	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes71.0ms (0.8%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes31.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes26.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

alpha

Results

Accuracy	Segments	Branch
92.2%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

alpha

Results

Accuracy	Segments	Branch
91.5%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

alpha

Results

Accuracy	Segments	Branch
85.4%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	beta
14.0ms	alpha

Results

Accuracy	Segments	Branch
71.0%	2	`beta`
68.7%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	alpha
8.0ms	beta

Results

Accuracy	Segments	Branch
49.6%	2	`alpha`
47.6%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes72.0ms (0.8%)

Accuracy

Total -21.4b remaining (-51.9%)

Threshold costs -21.4b (-51.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

68.0ms	beta
4.0ms	alpha

Results

Accuracy	Segments	Branch
35.6%	1	`beta`
35.6%	1	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999994901162	-0.9998990063713455

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999994901162	-0.9998990063713455

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999994901162	-0.9998990063713455

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	13020971417229156.0	7.14289317564942e+18

Results

15.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 228 to 183 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 2.0ms, 38.0% of total-time

Operation ival-add, time spent: 2.0ms, 38.0% of total-time

Operation ival-sub, time spent: 1.0ms, 19.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	13020971417229156.0	7.14289317564942e+18

Results

15.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 212 to 175 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 2.0ms, 38.0% of total-time

Operation ival-add, time spent: 2.0ms, 38.0% of total-time

Operation ival-sub, time spent: 1.0ms, 19.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	13020971417229156.0	7.14289317564942e+18

Results

17.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 180 to 151 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 2.0ms, 38.0% of total-time

Operation ival-add, time spent: 2.0ms, 38.0% of total-time

Operation ival-sub, time spent: 1.0ms, 19.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.00039030170370561626	1758.1388834354073

Results

12.0ms	103×	256	valid
9.0ms	29×	1024	valid
2.0ms	9×	512	valid
1.0ms	2×	2048	valid
0.0ms	1×	256	valid

Compiler

Compiled 182 to 150 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-div, time spent: 3.0ms, 34.0% of total-time

Operation ival-add, time spent: 3.0ms, 34.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

Operation ival-sub, time spent: 1.0ms, 11.0% of total-time

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	13020971417229156.0	7.14289317564942e+18

Results

15.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 132 to 119 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 2.0ms, 38.0% of total-time

Operation ival-add, time spent: 2.0ms, 38.0% of total-time

Operation ival-sub, time spent: 1.0ms, 19.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

240×	`distribute-lft-neg-in`
236×	`unsub-neg`
150×	`neg-mul-1`
136×	`neg-sub0`
120×	`cancel-sign-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	699
1	100	699
2	125	695
3	163	695
4	206	695
5	290	695
6	406	695
7	556	695
8	712	695
9	835	695
10	913	695
11	938	695
12	942	695

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.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 13200000000000000) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 14500000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 13200000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 beta 1) beta))
(if (<=.f64 alpha 14500000000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (neg.f64 (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 -1 (/.f64 (+.f64 alpha 2) beta))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 beta (-.f64 (/.f64 (+.f64 alpha 2) beta) -1))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 13200000000000000) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 13200000000000000) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 14500000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 14500000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 13200000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 13200000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 beta 1) beta))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 beta 1) beta))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 beta -1) beta))
(if (<=.f64 alpha 14500000000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 14500000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1

Compiler

Compiled 217 to 161 computations (25.8% saved)

soundness1.4s (14.7%)

Rules

6132×	`fma-neg`
1688×	`fma-neg`
1235×	`log1p-expm1-u`
1235×	`expm1-log1p-u`
1170×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1318	24772
1	3704	22679
0	38	359
1	96	351
2	204	351
3	534	343
4	1351	343
5	3461	343
6	6068	343
7	6956	343
8	7145	343
9	7181	343
10	7228	343
11	7228	343
12	7435	343
13	7550	343
14	7552	343
15	7552	315
0	14	99
1	202	99
2	3174	99
0	607	13991
1	1721	13434
2	5581	13161

Stop Event

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

Compiler

Compiled 580 to 410 computations (29.3% saved)

end0.0ms (0%)

preprocess116.0ms (1.2%)

Compiler: Compiled 432 to 302 computations (30.1% saved)

Iter	Nodes	Cost
0	69	699
1	100	699
2	125	695
3	163	695
4	206	695
5	290	695
6	406	695
7	556	695
8	712	695
9	835	695
10	913	695
11	938	695
12	942	695

Iter	Nodes	Cost
0	69	699
1	100	699
2	125	695
3	163	695
4	206	695
5	290	695
6	406	695
7	556	695
8	712	695
9	835	695
10	913	695
11	938	695
12	942	695

analyze0.0ms (0%)

sample1.8s (18.7%)

preprocess653.0ms (6.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize79.0ms (0.8%)

series14.0ms (0.2%)

rewrite274.0ms (2.9%)

simplify188.0ms (2%)

eval215.0ms (2.3%)

prune132.0ms (1.4%)

localize393.0ms (4.2%)

series28.0ms (0.3%)

rewrite127.0ms (1.4%)

simplify240.0ms (2.5%)

eval449.0ms (4.8%)

prune168.0ms (1.8%)

localize398.0ms (4.2%)

series22.0ms (0.2%)

rewrite209.0ms (2.2%)

simplify246.0ms (2.6%)

eval348.0ms (3.7%)

prune153.0ms (1.6%)

localize442.0ms (4.7%)

series31.0ms (0.3%)

rewrite105.0ms (1.1%)

simplify267.0ms (2.8%)

eval263.0ms (2.8%)

prune106.0ms (1.1%)

regimes130.0ms (1.4%)

regimes71.0ms (0.8%)

regimes31.0ms (0.3%)

regimes26.0ms (0.3%)

regimes22.0ms (0.2%)

regimes26.0ms (0.3%)

regimes30.0ms (0.3%)

regimes22.0ms (0.2%)

regimes72.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch28.0ms (0.3%)

bsearch20.0ms (0.2%)

simplify50.0ms (0.5%)

soundness1.4s (14.7%)

end0.0ms (0%)

preprocess116.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	69	699
1	100	699
2	125	695
3	163	695
4	206	695
5	290	695
6	406	695
7	556	695
8	712	695
9	835	695
10	913	695
11	938	695
12	942	695