Details

analyze126.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
14%	42.1%	43.8%	3
21.1%	35.1%	43.8%	4
31.6%	24.6%	43.8%	5
36.9%	19.3%	43.8%	6
43%	13.2%	43.8%	7
46.1%	10.1%	43.8%	8
49.4%	6.8%	43.8%	9
51%	5.2%	43.8%	10
52.7%	3.5%	43.8%	11
53.6%	2.6%	43.8%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.3s (14.1%)

Results

760.0ms	6470×	body	256	valid
357.0ms	1027×	body	1024	valid
133.0ms	658×	body	512	valid
46.0ms	101×	body	2048	valid

preprocess77.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-neg_binary64`
548×	`div-sub_binary64`
439×	`sub-neg_binary64`
372×	`times-frac_binary64`
269×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	39	38
2	64	38
3	109	38
4	203	38
5	404	34
6	861	34
7	2067	34
8	5489	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

496×	`sub-neg_binary64`
434×	`cancel-sign-sub-inv_binary64`
399×	`associate-/l*_binary64`
372×	`div-sub_binary64`
352×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	40	19
3	67	19
4	119	19
5	240	17
6	449	17
7	756	17
8	1582	17
9	3687	17
10	7455	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

19.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.3b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	2.9b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`fma-def_binary64`
578×	`log-prod_binary64`
369×	`fma-neg_binary64`
328×	`pow2_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	243	29
2	3788	29

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (/.f64 (-.f64 beta 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Outputs

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alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

734×	`times-frac_binary64`
534×	`associate-/l*_binary64`
444×	`associate-/r*_binary64`
384×	`cancel-sign-sub-inv_binary64`
330×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2065
1	756	1949
2	2813	1769

Stop Event

1×	node limit

Counts

182 → 214

Calls

Call 1

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

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

eval135.0ms (1.4%)

Compiler: Compiled 5988 to 4144 computations (30.8% saved)

prune63.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	199	15	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	15	215

Error

Counts

215 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.0b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	39.6b	(/.f64 2 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
	42.3b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	30.2b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	37.4b	(/.f64 (/.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))))) 2)
	43.0b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) 2)
▶	37.4b	(/.f64 (*.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))) 2)
	43.0b	(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
	43.9b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
▶	35.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	42.9b	(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
▶	19.4b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	20.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	45.2b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (+.f64 beta beta) 2)) (pow.f64 alpha 4))))) 2)

Compiler

Compiled 674 to 506 computations (24.9% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	19.4b	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`prod-diff_binary64`
498×	`log-prod_binary64`
428×	`fma-def_binary64`
234×	`fma-neg_binary64`
207×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	230	26
2	3281	26

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

767×	`times-frac_binary64`
510×	`associate-/l*_binary64`
405×	`associate-/r*_binary64`
360×	`associate-+l-_binary64`
240×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	1805
1	630	1705
2	2323	1585

Stop Event

1×	node limit

Counts

102 → 128

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
849×	`add-log-exp_binary64`
848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
835×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	10
2	2193	10

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))))

simplify197.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
725×	`associate-l_binary64`
494×	`associate-r_binary64`
417×	`times-frac_binary64`
289×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	183
1	93	181
2	234	177
3	625	171
4	1908	168
5	7494	168

Stop Event

1×	node limit

Counts

40 → 42

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 69 to 50 computations (27.5% saved)

series143.0ms (1.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
133.0ms	alpha	@	-inf	(/.f64 (+.f64 (*.f64 beta -2) -2) alpha)
2.0ms	alpha	@	inf	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))
1.0ms	beta	@	0	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))
1.0ms	alpha	@	0	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))
1.0ms	beta	@	inf	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
482×	`prod-diff_binary64`
282×	`fma-def_binary64`
269×	`log-div_binary64`
260×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	284	28
2	4236	28

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha)) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta -2 -2) (/.f64 alpha (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 alpha (fma.f64 beta -2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 (fma.f64 beta -2 -2) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (*.f64 (/.f64 alpha (fma.f64 beta -2 -2)) (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (*.f64 (/.f64 alpha (fma.f64 beta -2 -2)) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta -2 -2) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 beta -2 -2) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta -2 -2) (-.f64 -1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (*.f64 alpha (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta 1) 2) (-.f64 -1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta -2 -2) (-.f64 1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (*.f64 alpha (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta 1) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (*.f64 (neg.f64 alpha) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (fma.f64 beta -2 -2)) (*.f64 (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (fma.f64 beta -2 -2)) (*.f64 (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) 1) (*.f64 (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 1) (/.f64 alpha (fma.f64 beta -2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 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alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (+.f64 beta 1) 2)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3) (pow.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)) 3) (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 beta -2 -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta -2 -2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta -2 -2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 beta -2 -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta -2 -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (*.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) 2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 beta -2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta -2 -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 -2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta -2 -2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 -2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 beta -2 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 beta -2 -2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta -2 -2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta -2 -2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 1))))))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-r_binary64`
412×	`unsub-neg_binary64`
371×	`times-frac_binary64`
350×	`associate-/l*_binary64`
331×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	950
1	171	921
2	540	811
3	1816	717
4	7287	717

Stop Event

1×	node limit

Counts

136 → 113

Calls

Call 1

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

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

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.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)))
✓	0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	1.8b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	4.7b	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)

Compiler

Compiled 131 to 79 computations (39.7% saved)

series33.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(*.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)))
4.0ms	beta	@	0	(*.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)))
3.0ms	beta	@	inf	(*.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)))
2.0ms	alpha	@	inf	(*.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)))
2.0ms	alpha	@	-inf	(*.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)))

rewrite281.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`fma-def_binary64`
484×	`fma-neg_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`
246×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	357	67
2	5353	67

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1)) (pow.f64 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(2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4) 1) (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) 1) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4) 1) (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (.f64 beta beta)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)))))

simplify225.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
426×	`times-frac_binary64`
414×	`associate-/l*_binary64`
334×	`distribute-rgt-in_binary64`
320×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	716	12325
1	2744	11329

Stop Event

1×	node limit

Counts

337 → 422

Calls

Call 1

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

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

eval698.0ms (7.5%)

Compiler: Compiled 34566 to 25047 computations (27.5% saved)

prune125.0ms (1.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	696	9	705
Fresh	6	4	10
Picked	1	0	1
Done	2	2	4
Total	705	15	720

Error

Counts

720 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
▶	46.9b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha))) 2)
	30.2b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	47.2b	(/.f64 (+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) 2)
✓	35.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	35.8b	(/.f64 1 2)
▶	20.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.5b	(/.f64 (/.f64 2 alpha) 2)
	37.7b	(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
	35.6b	(/.f64 (/.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)))) 2)
▶	43.9b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
✓	39.6b	(/.f64 2 2)
▶	47.2b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
	37.2b	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
	47.2b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))))) 2)

Compiler

Compiled 446 to 342 computations (23.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	0	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	-inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2201	17

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))))

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
532×	`associate-/r*_binary64`
515×	`fma-def_binary64`
334×	`times-frac_binary64`
268×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	297
1	113	295
2	292	289
3	843	274
4	2589	274
5	6716	274

Stop Event

1×	node limit

Counts

90 → 93

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`pow1_binary64`
823×	`add-log-exp_binary64`
822×	`log1p-expm1-u_binary64`
822×	`expm1-log1p-u_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	10
2	2152	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 -4 alpha)) -2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 2 (/.f64 -4 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

753×	`times-frac_binary64`
657×	`fma-neg_binary64`
533×	`div-sub_binary64`
524×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	132
1	31	132
2	55	132
3	111	132
4	295	132
5	1042	132
6	4838	132
7	7520	132

Stop Event

1×	node limit

Counts

43 → 36

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
812×	`add-log-exp_binary64`
811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	8
2	2116	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-def_binary64`
15×	`associate-r_binary64`
13×	`*-commutative_binary64`
12×	`associate-/l*_binary64`
10×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	117
1	25	117
2	34	117
3	37	117
4	42	108
5	63	90
6	85	90
7	136	90
8	182	90
9	190	90

Stop Event

1×

saturated

Counts

43 → 37

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha)))
✓	0.1b	(/.f64 (/.f64 -4 alpha) alpha)
✓	0.6b	(/.f64 8 (pow.f64 alpha 3))
✓	7.6b	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha))

Compiler

Compiled 69 to 51 computations (26.1% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha))
1.0ms	alpha	@	0	(/.f64 8 (pow.f64 alpha 3))
1.0ms	alpha	@	0	(/.f64 (/.f64 -4 alpha) alpha)
1.0ms	alpha	@	inf	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha))
0.0ms	alpha	@	-inf	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha))

rewrite111.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`fma-def_binary64`
401×	`fma-neg_binary64`
389×	`log-div_binary64`
259×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	316	48
2	4742	48

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

Inputs
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha))
(/.f64 8 (pow.f64 alpha 3))
(/.f64 (/.f64 -4 alpha) alpha)
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 (.f64 alpha alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 -4 (.f64 alpha alpha)))) (/.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 -4 (.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 (.f64 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 (.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 (.f64 alpha alpha)))) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 (.f64 alpha alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 (.f64 alpha alpha)))) 2) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -4 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simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

747×	`distribute-neg-frac_binary64`
677×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
480×	`associate-/r/_binary64`
369×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	438
1	62	438
2	118	438
3	239	438
4	641	438
5	2668	426
6	6181	426

Stop Event

1×	node limit

Counts

325 → 300

Calls

Call 1

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

Outputs
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha))

eval297.0ms (3.2%)

Compiler: Compiled 9933 to 7472 computations (24.8% saved)

prune81.0ms (0.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	1	7	8
Picked	1	0	1
Done	1	5	6
Total	463	18	481

Error

Counts

481 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	43.6b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
▶	30.2b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
▶	47.2b	(/.f64 (+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) 2)
▶	46.5b	(/.f64 (/.f64 2 alpha) 2)
✓	35.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	35.8b	(/.f64 1 2)
▶	37.7b	(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
	35.6b	(/.f64 (/.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)))) 2)
	46.9b	(/.f64 (fma.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha) (+.f64 (/.f64 -4 (.f64 alpha alpha)) (/.f64 2 alpha))) 2)
✓	39.6b	(/.f64 2 2)
	42.3b	(/.f64 (+.f64 (.f64 -1 (.f64 alpha (/.f64 2 beta))) 2) 2)
✓	47.2b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
	37.2b	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
▶	38.5b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	20.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.9b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (/.f64 -4 alpha) alpha))) 2)
	47.2b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))))) 2)

Compiler

Compiled 503 to 381 computations (24.3% saved)

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(pow.f64 (+.f64 beta alpha) 2)

✓

19.4b

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

✓

21.5b

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

Compiler

Compiled 82 to 45 computations (45.1% saved)

series23.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	-inf	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
3.0ms	alpha	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
2.0ms	alpha	@	inf	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
2.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))
2.0ms	alpha	@	-inf	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`log-prod_binary64`
583×	`fma-def_binary64`
376×	`fma-neg_binary64`
296×	`log1p-udef_binary64`
295×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	333	49
2	4849	49

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

(pow.f64 (+.f64 beta alpha) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 4 (neg.f64 (pow.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (-.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 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(2) ((x cbrt.f64 (pow.f64 (+.f64 beta alpha) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha)))))))

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

803×	`times-frac_binary64`
667×	`cancel-sign-sub-inv_binary64`
406×	`unsub-neg_binary64`
383×	`fma-def_binary64`
337×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	4836
1	1304	4150
2	5584	4071

Stop Event

1×	node limit

Counts

192 → 214

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha))
	0.1b	(/.f64 (/.f64 -4 alpha) alpha)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log-prod_binary64`
345×	`exp-prod_binary64`
339×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	192	13
2	2903	11

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

Inputs
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha (/.f64 (*.f64 alpha -4) alpha)) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6))) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))) (/.f64 -8 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 (/.f64 -4 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 1 (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 2 alpha (/.f64 (*.f64 alpha -4) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))) (/.f64 -8 (pow.f64 alpha 3))) (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 alpha (/.f64 (*.f64 alpha -4) alpha)) (*.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6))) (-.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))) (/.f64 -8 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 -8 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 2 alpha (/.f64 (*.f64 alpha -4) alpha))) (neg.f64 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6)))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))) (/.f64 -8 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 alpha alpha (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (*.f64 alpha alpha) (*.f64 (neg.f64 alpha) -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (*.f64 (*.f64 alpha 1/2) (/.f64 -4 alpha))) (*.f64 (*.f64 alpha 1/2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 alpha (*.f64 (neg.f64 alpha) (/.f64 -4 alpha))) (*.f64 (neg.f64 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (*.f64 -1/4 (*.f64 alpha alpha)) alpha) (*.f64 alpha (*.f64 -1/4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 alpha (*.f64 alpha -1/4) (*.f64 (*.f64 alpha 1/2) 1)) (*.f64 (*.f64 alpha 1/2) (*.f64 -1/4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (*.f64 -1/4 (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (*.f64 -1/4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (neg.f64 alpha) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 alpha (*.f64 (*.f64 alpha 1/2) (/.f64 4 alpha))) (*.f64 (*.f64 alpha 1/2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (neg.f64 alpha) (*.f64 (neg.f64 alpha) (/.f64 4 alpha))) (pow.f64 (neg.f64 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -4 alpha (*.f64 (*.f64 alpha alpha) 2)) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (*.f64 (*.f64 -1/4 (*.f64 alpha alpha)) 2)) (*.f64 (*.f64 -1/4 (*.f64 alpha alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 4 alpha) alpha (*.f64 (neg.f64 alpha) 2)) (*.f64 (neg.f64 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -4 (*.f64 alpha 1/2) (*.f64 (*.f64 alpha alpha) 1)) (*.f64 (*.f64 alpha alpha) (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -4 alpha) (*.f64 alpha 1/2) alpha) (*.f64 alpha (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 alpha 1/2 (*.f64 (*.f64 -1/4 (*.f64 alpha alpha)) 1)) (*.f64 (*.f64 -1/4 (*.f64 alpha alpha)) (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 4 alpha) (*.f64 alpha 1/2) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -4 (neg.f64 alpha) (*.f64 (*.f64 alpha alpha) -2)) (*.f64 (*.f64 alpha alpha) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -4 alpha) (neg.f64 alpha) (*.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 alpha (*.f64 (*.f64 -1/4 (*.f64 alpha alpha)) -2)) (*.f64 (*.f64 -1/4 (*.f64 alpha alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 4 alpha) (neg.f64 alpha) (*.f64 (neg.f64 alpha) -2)) (pow.f64 (neg.f64 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 4 (pow.f64 alpha -2))) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 2 alpha (/.f64 (*.f64 alpha -4) alpha)) alpha) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 alpha (/.f64 (*.f64 alpha -4) alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))) (/.f64 -8 (pow.f64 alpha 3))) (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 2 (/.f64 -4 alpha)) alpha) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))) (sqrt.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (/.f64 -4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 1 (expm1.f64 (/.f64 -4 (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (+.f64 1 (expm1.f64 (/.f64 -4 (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -4 (*.f64 alpha alpha)))) (exp.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -4 (*.f64 alpha alpha))) (+.f64 1 (expm1.f64 (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -4 (*.f64 alpha alpha)))) (+.f64 1 (expm1.f64 (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 alpha) 1 (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 alpha) (/.f64 1 alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (*.f64 alpha alpha)) 1 (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 -4 alpha)) (/.f64 1 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 -4 (*.f64 alpha alpha))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 (/.f64 -4 alpha)) (/.f64 1 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -4) alpha) (/.f64 (sqrt.f64 -4) alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 alpha) (/.f64 1 (neg.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 alpha) 2 (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 alpha) (/.f64 -4 alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4 alpha)) alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -4 alpha)) 1) (/.f64 (sqrt.f64 (/.f64 -4 alpha)) alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) -2) (/.f64 (/.f64 -4 alpha) (cbrt.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 -4 (*.f64 alpha alpha))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (sqrt.f64 alpha)) (pow.f64 alpha -3/2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha -1/2) (/.f64 (/.f64 -4 alpha) (sqrt.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (/.f64 -4 alpha)) (sqrt.f64 alpha)) (/.f64 2 alpha))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

753×	`times-frac_binary64`
657×	`fma-neg_binary64`
533×	`div-sub_binary64`
524×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	132
1	31	132
2	55	132
3	111	132
4	295	132
5	1042	132
6	4838	132
7	7520	132

Stop Event

1×	node limit

Counts

115 → 108

Calls

Call 1

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

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

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
✓	0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
	1.8b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	4.7b	(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1)

Compiler

Compiled 189 to 104 computations (45% saved)

series36.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
4.0ms	beta	@	inf	(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
4.0ms	beta	@	0	(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
3.0ms	alpha	@	inf	(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
3.0ms	beta	@	-inf	(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`expm1-udef_binary64`
375×	`log1p-udef_binary64`
224×	`add-sqr-sqrt_binary64`
219×	`*-un-lft-identity_binary64`
219×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	108
1	482	51
2	7122	51

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (*.f64 (neg.f64 alpha) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) beta) (*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 beta alpha))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
406×	`associate-/l*_binary64`
358×	`times-frac_binary64`
336×	`distribute-rgt-in_binary64`
329×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	14258
1	2500	12768

Stop Event

1×	node limit

Counts

215 → 280

Calls

Call 1

Inputs
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (-.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 beta (-.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 beta (-.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1)
(/.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) beta)
(-.f64 (+.f64 (.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 3))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (+.f64 (.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 3)))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))) beta))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))) beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))) beta)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 alpha) (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha)))) (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (pow.f64 alpha 2) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (-.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))))) 1)
(/.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) alpha)
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (.f64 -2 (/.f64 beta alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (.f64 2 beta))) (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (.f64 -2 (/.f64 beta alpha)))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (.f64 2 beta))) (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta)))))) (+.f64 4 (.f64 2 beta))) (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (.f64 2 beta)))) (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (.f64 (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (.f64 -2 (/.f64 beta alpha))))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (.f64 -2 beta) (+.f64 4 (.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))))
(.f64 -1 (/.f64 (-.f64 (.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))) alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))) alpha))))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (.f64 -2 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (.f64 -1 (/.f64 (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))) alpha)))))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
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(-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (.f64 -2 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2))))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/2 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))))))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (.f64 -2 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))) alpha))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (.f64 -2 (.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2))))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/2 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))))))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))))) (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 -1/2 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))))))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2))))))) (pow.f64 alpha 4))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (-.f64 (.f64 2 beta) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2)))))))

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

eval1.3s (14%)

Compiler: Compiled 44646 to 31591 computations (29.2% saved)

prune127.0ms (1.4%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	754	2	756
Fresh	0	8	8
Picked	1	0	1
Done	1	8	9
Total	756	18	774

Error

Counts

774 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	43.6b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	46.5b	(/.f64 (/.f64 2 alpha) 2)
✓	35.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	35.8b	(/.f64 1 2)
	38.1b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	35.6b	(/.f64 (/.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)))) 2)
	37.8b	(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) -1) (/.f64 1 (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) 2)
	47.2b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))))) 2)
	46.9b	(/.f64 (fma.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha) (+.f64 (/.f64 -4 (.f64 alpha alpha)) (/.f64 2 alpha))) 2)
✓	39.6b	(/.f64 2 2)
	42.3b	(/.f64 (+.f64 (.f64 -1 (.f64 alpha (/.f64 2 beta))) 2) 2)
✓	47.2b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
	37.2b	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
✓	47.2b	(/.f64 (+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) 2)
✓	38.5b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	20.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.9b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (/.f64 -4 alpha) alpha))) 2)

Compiler

Compiled 268 to 207 computations (22.8% saved)

regimes299.0ms (3.2%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

8 calls:

155.0ms	beta
59.0ms	alpha
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.9b	2	`alpha`
13.5b	6	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 667 to 462 computations (30.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999960334162	-0.9999804036226053

Compiler

Compiled 20 to 15 computations (25% saved)

regimes125.0ms (1.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

8 calls:

47.0ms	beta
30.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
4.0b	2	`alpha`
13.6b	6	`beta`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 212 to 161 computations (24.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999960334162	-0.9999804036226053

Compiler

Compiled 20 to 15 computations (25% saved)

regimes86.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	beta
17.0ms	alpha

Results

Error	Segments	Branch
4.5b	2	`alpha`
13.7b	6	`beta`

Compiler

Compiled 121 to 98 computations (19% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 20 to 15 computations (25% saved)

regimes84.0ms (0.9%)

Counts

11 → 6

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	beta
39.0ms	alpha

Results

Error	Segments	Branch
14.4b	6	`alpha`
14.4b	6	`beta`

Compiler

Compiled 77 to 63 computations (18.2% saved)

bsearch133.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	102057.67969078248	504212212.9856982
22.0ms	-1.5935208299522432e-289	-1.1455133187106642e-291
50.0ms	-5.702287063401341e-274	-4.4555830630670304e-277
20.0ms	-3.9431569008612365e-217	-1.0971996455714047e-218
22.0ms	-2.866495649630193e-148	-2.515125987580736e-152

Compiler

Compiled 20 to 15 computations (25% saved)

regimes104.0ms (1.1%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

2 calls:

66.0ms	beta
35.0ms	alpha

Results

Error	Segments	Branch
14.7b	6	`alpha`
15.1b	6	`beta`

Compiler

Compiled 68 to 56 computations (17.6% saved)

bsearch102.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
22.0ms	1.2638224763950707e-5	24713.093604545993
19.0ms	-1.5935208299522432e-289	-1.1455133187106642e-291
21.0ms	-5.702287063401341e-274	-4.4555830630670304e-277
19.0ms	-3.9431569008612365e-217	-1.0971996455714047e-218
21.0ms	-2.866495649630193e-148	-2.515125987580736e-152

Compiler

Compiled 20 to 15 computations (25% saved)

regimes53.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	alpha
18.0ms	beta

Results

Error	Segments	Branch
18.9b	6	`alpha`
18.2b	3	`beta`

Compiler

Compiled 59 to 50 computations (15.3% saved)

bsearch62.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	33.878197496075174	246024.82789069554
31.0ms	6.30204757378725e-127	1.3857211897419028e-123

Compiler

Compiled 20 to 15 computations (25% saved)

regimes67.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	alpha
32.0ms	beta

Results

Error	Segments	Branch
19.2b	6	`alpha`
18.3b	3	`beta`

Compiler

Compiled 50 to 43 computations (14% saved)

bsearch102.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	33.878197496075174	246024.82789069554
69.0ms	6.30204757378725e-127	1.3857211897419028e-123

Compiler

Compiled 20 to 15 computations (25% saved)

regimes56.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
19.4b	6	`alpha`
18.3b	3	`beta`

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch73.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	33.878197496075174	246024.82789069554
39.0ms	6.30204757378725e-127	1.3857211897419028e-123

Compiler

Compiled 20 to 15 computations (25% saved)

regimes48.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
19.4b	6	`alpha`
18.5b	3	`beta`

Compiler

Compiled 29 to 25 computations (13.8% saved)

bsearch70.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	1.2554716294611767e-19	1.72548029370717e-15
30.0ms	6.30204757378725e-127	1.3857211897419028e-123

Compiler

Compiled 20 to 15 computations (25% saved)

regimes30.0ms (0.3%)

Accuracy

Total -34.0b remaining (-164.7%)

Threshold costs -34.0b (-164.7%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	alpha
6.0ms	beta

Results

Error	Segments	Branch
30.3b	6	`alpha`
20.7b	2	`beta`

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	33.878197496075174	246024.82789069554

Compiler

Compiled 20 to 15 computations (25% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
24×	`cancel-sign-sub-inv_binary64`
21×	`distribute-rgt-neg-in_binary64`
19×	`sub-neg_binary64`
19×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	426
1	121	426
2	136	426
3	150	426
4	166	426
5	196	426
6	233	426
7	268	426
8	311	426
9	332	426

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.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 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 233134097766617/18446744073709551616) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha -8253514764876375/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -2448728971746985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 2 2) (if (<=.f64 alpha -1389264450399751/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (/.f64 1 2) (if (<=.f64 alpha -6993802383460077/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (/.f64 2 2) (if (<=.f64 alpha 3506675172620433/34359738368) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))))
(if (<=.f64 alpha -8253514764876375/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (+.f64 1 (.f64 -1/2 alpha)) 2) (if (<=.f64 alpha -2448728971746985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 2 2) (if (<=.f64 alpha -1389264450399751/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (/.f64 1 2) (if (<=.f64 alpha -6993802383460077/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (/.f64 2 2) (if (<=.f64 alpha 233134097766617/18446744073709551616) (/.f64 (+.f64 1 (.f64 -1/2 alpha)) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 1 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 1 2) (if (<=.f64 beta 5215025118104695/41538374868278621028243970633760768) (/.f64 (/.f64 2 alpha) 2) (/.f64 2 2)))
(if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.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)) -9007109182748445/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) 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)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 233134097766617/18446744073709551616) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 233134097766617/18446744073709551616) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(if (<=.f64 alpha -8253514764876375/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -2448728971746985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 2 2) (if (<=.f64 alpha -1389264450399751/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (/.f64 1 2) (if (<=.f64 alpha -6993802383460077/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (/.f64 2 2) (if (<=.f64 alpha 3506675172620433/34359738368) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))))
(if (<=.f64 alpha -8253514764876375/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -2448728971746985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) 1 (if (<=.f64 alpha -1389264450399751/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) 1/2 (if (<=.f64 alpha -6993802383460077/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) 1 (if (<=.f64 alpha 3506675172620433/34359738368) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))))))
(if (<=.f64 alpha -8253514764876375/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (+.f64 1 (.f64 -1/2 alpha)) 2) (if (<=.f64 alpha -2448728971746985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 2 2) (if (<=.f64 alpha -1389264450399751/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (/.f64 1 2) (if (<=.f64 alpha -6993802383460077/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (/.f64 2 2) (if (<=.f64 alpha 233134097766617/18446744073709551616) (/.f64 (+.f64 1 (.f64 -1/2 alpha)) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))))
(if (<=.f64 alpha -8253514764876375/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (if (<=.f64 alpha -2448728971746985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) 1 (if (<=.f64 alpha -1389264450399751/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) 1/2 (if (<=.f64 alpha -6993802383460077/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) 1 (if (<=.f64 alpha 233134097766617/18446744073709551616) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))))))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 1 2) (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) 1/2 (if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 1 2) (if (<=.f64 beta 5215025118104695/41538374868278621028243970633760768) (/.f64 (/.f64 2 alpha) 2) (/.f64 2 2)))
(if (<=.f64 beta 7684924952145611/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) 1/2 (if (<=.f64 beta 5215025118104695/41538374868278621028243970633760768) (/.f64 (/.f64 2 alpha) 2) 1))
(if (<=.f64 beta 2383966212801691/70368744177664) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2383966212801691/70368744177664) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 317 to 243 computations (23.3% saved)

soundness114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

734×	`times-frac_binary64`
534×	`associate-/l*_binary64`
444×	`associate-/r*_binary64`
384×	`cancel-sign-sub-inv_binary64`
330×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2065
1	756	1949
2	2813	1769

Stop Event

1×	node limit

Compiler

Compiled 943 to 719 computations (23.8% saved)

end229.0ms (2.5%)

Compiler: Compiled 297 to 218 computations (26.6% saved)

Iter	Nodes	Cost
0	95	426
1	121	426
2	136	426
3	150	426
4	166	426
5	196	426
6	233	426
7	268	426
8	311	426
9	332	426

Iter	Nodes	Cost
0	95	426
1	121	426
2	136	426
3	150	426
4	166	426
5	196	426
6	233	426
7	268	426
8	311	426
9	332	426

Iter	Nodes	Cost
0	95	426
1	121	426
2	136	426
3	150	426
4	166	426
5	196	426
6	233	426
7	268	426
8	311	426
9	332	426