Details

analyze63.0ms (0.8%)

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)

sample1.7s (21.6%)

Results

1.1s	6526×	body	256	valid
453.0ms	1012×	body	1024	valid
142.0ms	625×	body	512	valid
45.0ms	93×	body	2048	valid

preprocess82.0ms (1%)

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)

simplify69.0ms (0.9%)

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

16.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 50 to 23 computations (54% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (1%)

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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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)))))))))

simplify66.0ms (0.8%)

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)))))

eval121.0ms (1.5%)

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

prune86.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	204	10	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	204	11	215

Error

0.0b

Counts

215 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
▶	45.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
▶	16.1b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
▶	15.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	31.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	47.0b	(/.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)
	46.8b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	40.9b	(/.f64 2 2)
	46.8b	(/.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)

Compiler

Compiled 335 to 255 computations (23.9% saved)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 47 computations (35.6% saved)

series14.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite103.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`fma-def_binary64`
509×	`fma-neg_binary64`
341×	`log-div_binary64`
271×	`log1p-udef_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	301	52
2	4870	52

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-*l/_binary64`
356×	`cancel-sign-sub-inv_binary64`
337×	`distribute-rgt-in_binary64`
334×	`associate-*r/_binary64`
326×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3079
1	822	2888
2	3028	2722

Stop Event

1×	node limit

Counts

254 → 286

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
633×	`add-log-exp_binary64`
632×	`log1p-expm1-u_binary64`
632×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	117	7
2	1628	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
735×	`distribute-neg-frac_binary64`
530×	`associate-/r*_binary64`
357×	`fma-def_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	91	156
2	227	153
3	651	145
4	2162	145
5	6011	145

Stop Event

1×	node limit

Counts

45 → 47

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))))

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
853×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	165	8
2	2487	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Stop Event

1×

saturated

Counts

55 → 37

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	16.2b	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.8%)

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))))))

simplify58.0ms (0.7%)

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

eval353.0ms (4.4%)

Compiler: Compiled 12831 to 9045 computations (29.5% saved)

prune213.0ms (2.7%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	489	9	498
Fresh	3	2	5
Picked	1	0	1
Done	0	5	5
Total	493	16	509

Error

Counts

509 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.7b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
✓	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	16.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	33.7b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	46.5b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
✓	15.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	16.0b	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
	32.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
▶	48.0b	(/.f64 (/.f64 2 alpha) 2)
▶	31.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	45.6b	(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
	46.8b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
✓	45.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
✓	40.9b	(/.f64 2 2)
▶	59.2b	(/.f64 (*.f64 beta (/.f64 2 alpha)) 2)
	59.2b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)

Compiler

Compiled 379 to 298 computations (21.4% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))
✓	0.3b	(+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)))
✓	1.8b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
✓	1.8b	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))

Compiler

Compiled 98 to 53 computations (45.9% saved)

series36.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
4.0ms	beta	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
4.0ms	beta	@	0	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
4.0ms	alpha	@	inf	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
3.0ms	alpha	@	0	(+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)))

rewrite114.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`fma-def_binary64`
401×	`fma-neg_binary64`
292×	`expm1-udef_binary64`
291×	`log1p-udef_binary64`
254×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	349	77
2	4916	71

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)))
(expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))

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

simplify164.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
473×	`associate-+r+_binary64`
458×	`distribute-rgt-in_binary64`
452×	`distribute-lft-in_binary64`
379×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	8690
1	2149	8029

Stop Event

1×	node limit

Counts

292 → 370

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))))) (+.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 1/2 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 beta 3) (+.f64 (.f64 6 (+.f64 (.f64 1/48 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 3)) (+.f64 (.f64 1/2 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 3)) (.f64 -3 (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))))) (+.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 1/2 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2))))) (pow.f64 beta 2))) (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (+.f64 2 (.f64 2 alpha)) 3)) (+.f64 (.f64 6 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (.f64 2 alpha)))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 alpha)) 3))))) (.f64 3 (.f64 (+.f64 2 (.f64 2 alpha)) (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2))))))) (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2))))) (pow.f64 beta 2))) (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))))
1
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/4 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (pow.f64 beta 2))))))
(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)))))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))))))) (.f64 1/6 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 3 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))))) (+.f64 (.f64 6 (+.f64 (.f64 -1/4 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)) (.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (.f64 -1/4 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)))))))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (+.f64 2 (.f64 2 beta)) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))))) (pow.f64 alpha 2))))
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(.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
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(-.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))))
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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)))
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(/.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))))))
(exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 1/2 (.f64 beta (.f64 (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
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(exp.f64 1)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2))) (exp.f64 1)) (pow.f64 beta 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2))) (exp.f64 1)) (pow.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (.f64 2 alpha)))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 alpha)) 3)))) (exp.f64 1)) (pow.f64 beta 3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 1)) (pow.f64 beta 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/4 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (exp.f64 1)) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 1)) (pow.f64 beta 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1))))
(exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) alpha))) (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) alpha))) (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)) (.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) alpha))) (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))
1
(+.f64 1 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))))))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 1/48 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 beta (.f64 (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 beta (.f64 (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (+.f64 (.f64 (pow.f64 beta 2) (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 beta (.f64 (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (+.f64 (.f64 (pow.f64 beta 2) (.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (.f64 (pow.f64 beta 3) (.f64 (+.f64 (.f64 1/48 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 3)) (+.f64 (.f64 1/2 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (exp.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/2 (/.f64 (.f64 (E.f64) (+.f64 2 (*.f64 2 alpha))) beta))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (/.f64 (.f64 (E.f64) (+.f64 2 (.f64 2 alpha))) beta)) (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)))) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (/.f64 (.f64 (E.f64) (+.f64 2 (.f64 2 alpha))) beta)) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2)))) (pow.f64 beta 2)) (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (.f64 2 alpha)))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 alpha)) 3))))) (pow.f64 beta 3))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 1/2 (/.f64 (.f64 (E.f64) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2)) (.f64 1/2 (/.f64 (.f64 (E.f64) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/48 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/4 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2)) (.f64 1/2 (/.f64 (.f64 (E.f64) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) alpha))) (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (.f64 (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) alpha))) (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)) (.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (.f64 (+.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (exp.f64 (.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) alpha))) (exp.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) 1)
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/384 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 4) (pow.f64 alpha 4))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (.f64 2 beta))) (pow.f64 alpha 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)))))))))))))
(.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 1/48 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 1/48 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.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 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 4))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 4) (pow.f64 alpha 4))) (.f64 -1/16 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4)))))))))))

Outputs
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))
(.f64 1/2 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))))
(*.f64 1/2 (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 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)) (.f64 2 (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/8 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))))) (+.f64 (.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 1/2 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))
(fma.f64 1/2 (.f64 (.f64 beta beta) (fma.f64 -1/4 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (.f64 2 (fma.f64 1/2 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) 1/8))))) (.f64 1/2 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))))
(fma.f64 1/2 (.f64 beta (.f64 beta (fma.f64 -1/4 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (+.f64 (.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) 1/4))))) (*.f64 1/2 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
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1
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(fma.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta) 1)
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1
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(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(/.f64 (*.f64 1/2 (fma.f64 2 beta 2)) alpha)
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(.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (*.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) -1/2) alpha)
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha)
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(-.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha) (/.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (.f64 alpha alpha)))
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(pow.f64 (exp.f64 1/2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1))
(fma.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta (E.f64))) (E.f64))
(fma.f64 -1/2 (*.f64 (/.f64 (E.f64) beta) (fma.f64 alpha 2 2)) (E.f64))
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(exp.f64 1)
(E.f64)
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 1)) beta)) (exp.f64 1))
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (E.f64))) (E.f64))
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1
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(fma.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha) 1)
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1
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(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(fma.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) 1)
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(-.f64 (exp.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
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(/.f64 (*.f64 1/2 (fma.f64 2 beta 2)) alpha)
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (.f64 alpha alpha)))))
(fma.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 1/2 (/.f64 (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (.f64 alpha alpha)) (/.f64 (pow.f64 (fma.f64 2 beta 2) 2) (/.f64 (*.f64 alpha alpha) 1/8))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))))))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (fma.f64 1/4 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))))) (fma.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 3) (.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (.f64 alpha alpha))))))))
(fma.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 1/4 (.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 alpha 3)) (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)))) (fma.f64 1/48 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (fma.f64 2 beta 2) 2) (/.f64 (.f64 alpha alpha) 1/8)))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 1/384 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 4) (pow.f64 alpha 4))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (.f64 2 beta))) (pow.f64 alpha 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)))))))))))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (fma.f64 1/384 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 4) (pow.f64 alpha 4)) (fma.f64 1/4 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))))) (fma.f64 1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 3) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 4)) (fma.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 beta)) 2) (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 4)) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (fma.f64 1/4 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 3) (.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 alpha 4) (+.f64 2 (.f64 2 beta)))) (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4)) (.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 3) (.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)))))))))))))
(fma.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 1/384 (/.f64 (pow.f64 (fma.f64 2 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 1/4 (.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 alpha 3)) (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)))) (fma.f64 1/48 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (.f64 alpha alpha)) (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 beta 2) 2) (/.f64 (pow.f64 alpha 4) (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 beta 2) 2) (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (neg.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 4)) (fma.f64 1/4 (.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 4)) (fma.f64 2 beta 2)) (fma.f64 1/8 (/.f64 (pow.f64 (neg.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) 2) (pow.f64 alpha 4)) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (/.f64 (pow.f64 alpha 3) 1/2))))))))))))
(.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (*.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) -1/2) alpha)
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (.f64 alpha alpha)) (/.f64 (.f64 -1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (.f64 alpha alpha))))
(fma.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (.f64 alpha alpha)) (*.f64 (/.f64 1/8 alpha) (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) alpha))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 1/48 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))
(fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (fma.f64 -1/2 (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)) (.f64 1/48 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 3)))) (pow.f64 alpha 3)) (/.f64 (.f64 -1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha)))))
(fma.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (fma.f64 1/8 (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) (.f64 alpha alpha)) (-.f64 (.f64 (/.f64 -1/2 alpha) (/.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) alpha)) (/.f64 (fma.f64 -1/4 (.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (fma.f64 1/48 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 3) (.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))))) (pow.f64 alpha 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 1/48 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1 beta) (+.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 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 4))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 4) (pow.f64 alpha 4))) (.f64 -1/16 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4)))))))))))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (fma.f64 -1/2 (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)) (.f64 1/48 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 3)))) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (fma.f64 1/8 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4)) (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.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 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 1/384 (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4) (pow.f64 alpha 4)) (.f64 -1/16 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (/.f64 (pow.f64 alpha 4) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))))))))))
(fma.f64 1/8 (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) (.f64 alpha alpha)) (-.f64 (fma.f64 -1/2 (/.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (.f64 alpha alpha)) (fma.f64 -1/2 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 1/8 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) 2) (pow.f64 alpha 4)) (fma.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 4)) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (fma.f64 -1/16 (.f64 (/.f64 (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 4)) (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2)) (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 4) (/.f64 (pow.f64 alpha 4) 1/384)))))))) (/.f64 (fma.f64 -1/4 (.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (fma.f64 1/48 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 3) (.f64 -1/2 (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))))) (pow.f64 alpha 3))))

localize6.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 beta (/.f64 2 alpha)) 2)
✓	0.2b	(*.f64 beta (/.f64 2 alpha))

Compiler

Compiled 20 to 13 computations (35% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(*.f64 beta (/.f64 2 alpha))
1.0ms	beta	@	inf	(*.f64 beta (/.f64 2 alpha))
1.0ms	alpha	@	inf	(*.f64 beta (/.f64 2 alpha))
1.0ms	alpha	@	0	(*.f64 beta (/.f64 2 alpha))
1.0ms	beta	@	-inf	(/.f64 (*.f64 beta (/.f64 2 alpha)) 2)

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
727×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
714×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	11
2	2027	11

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	264
1	9	264
2	13	264
3	17	264
4	18	264

Stop Event

1×

saturated

Counts

97 → 51

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.9b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.8%)

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	17
1	160	17
2	2193	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

690×	`times-frac_binary64`
658×	`fma-def_binary64`
385×	`associate-*r/_binary64`
371×	`fma-neg_binary64`
352×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	339
1	147	337
2	399	330
3	1149	316
4	3623	316

Stop Event

1×	node limit

Counts

84 → 88

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 29 computations (37% saved)

series5.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
390×	`fma-def_binary64`
338×	`pow-prod-down_binary64`
270×	`pow2_binary64`
205×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	220	18
2	3005	18

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (*.f64 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 beta 3) (*.f64 (pow.f64 alpha -3) 8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 beta (/.f64 2 alpha)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 3) 1/3))))))

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

399×	`fma-neg_binary64`
318×	`fma-def_binary64`
109×	`cancel-sign-sub-inv_binary64`
62×	`associate-/l*_binary64`
58×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	30	114
2	60	114
3	107	114
4	216	114
5	443	114
6	842	114
7	1409	114
8	1840	114
9	1913	114

Stop Event

1×

saturated

Counts

123 → 113

Calls

Call 1

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

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

eval951.0ms (12%)

Compiler: Compiled 21079 to 15918 computations (24.5% saved)

prune185.0ms (2.3%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	612	10	622
Fresh	4	2	6
Picked	1	0	1
Done	2	7	9
Total	619	19	638

Error

Counts

638 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	40.9b	1
	32.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
✓	16.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	33.7b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	45.6b	(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
✓	31.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	32.5b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
▶	59.2b	(/.f64 beta alpha)
	49.1b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2)
✓	45.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	59.2b	(*.f64 beta (/.f64 1 alpha))
▶	45.7b	(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
✓	15.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	16.0b	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
✓	48.0b	(/.f64 (/.f64 2 alpha) 2)
▶	61.6b	(-.f64 (+.f64 1 (/.f64 beta alpha)) 1)
▶	31.6b	(/.f64 1 2)
	48.8b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)

Compiler

Compiled 330 to 262 computations (20.6% saved)

localize7.0ms (0.1%)

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

localize7.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize22.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(-.f64 (+.f64 1 (/.f64 beta alpha)) 1)

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	4
2	2358	4

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

86 → 62

Calls

Call 1

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

Outputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)

localize21.0ms (0.3%)

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

localize27.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2371	10

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`div-sub_binary64`
27×	`cancel-sign-sub-inv_binary64`
25×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	27	96
2	49	96
3	98	96
4	207	96
5	430	96
6	590	96

Stop Event

1×

saturated

Counts

67 → 57

Calls

Call 1

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

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

eval32.0ms (0.4%)

Compiler: Compiled 1592 to 931 computations (41.5% saved)

prune31.0ms (0.4%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	6	7
Picked	0	1	1
Done	0	11	11
Total	119	19	138

Error

Counts

138 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	40.9b	1
	32.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
✓	16.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	59.2b	(/.f64 1 (/.f64 alpha beta))
✓	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	33.7b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	45.6b	(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
✓	31.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	32.5b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	59.2b	(/.f64 beta alpha)
	49.1b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2)
✓	45.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
✓	15.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	16.0b	(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))
✓	48.0b	(/.f64 (/.f64 2 alpha) 2)
✓	61.6b	(-.f64 (+.f64 1 (/.f64 beta alpha)) 1)
✓	31.6b	(/.f64 1 2)
✓	45.7b	(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
	48.8b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)

Compiler

Compiled 214 to 169 computations (21% saved)

regimes139.0ms (1.8%)

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

33.0ms	alpha
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
19.0ms	beta
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
14.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.6b	2	`alpha`
15.6b	1	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 430 to 301 computations (30% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999972090190969	-0.8071684221964144

Compiler

Compiled 20 to 15 computations (25% saved)

regimes440.0ms (5.5%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

8 calls:

190.0ms	alpha
167.0ms	beta
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.6b	2	`alpha`
15.6b	1	`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 351 to 248 computations (29.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999972090190969

Compiler

Compiled 20 to 15 computations (25% saved)

regimes150.0ms (1.9%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

8 calls:

54.0ms	alpha
22.0ms	beta
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.6b	2	`alpha`
15.6b	1	`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 296 to 213 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999972090190969

Compiler

Compiled 20 to 15 computations (25% saved)

regimes350.0ms (4.4%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

8 calls:

178.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
41.0ms	alpha
33.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
29.0ms	beta
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Results

Error	Segments	Branch
2.6b	2	`alpha`
16.0b	1	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.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 265 to 192 computations (27.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999972090190969

Compiler

Compiled 20 to 15 computations (25% saved)

regimes51.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
3.4b	2	`alpha`
17.2b	1	`beta`

Compiler

Compiled 157 to 116 computations (26.1% saved)

bsearch37.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	7735799440787.236	1.7865895373635075e+21

Compiler

Compiled 20 to 15 computations (25% saved)

regimes119.0ms (1.5%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

102.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
3.4b	2	`alpha`
17.2b	1	`beta`

Compiler

Compiled 122 to 91 computations (25.4% saved)

bsearch38.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	7735799440787.236	1.7865895373635075e+21

Compiler

Compiled 20 to 15 computations (25% saved)

regimes31.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
6.0b	2	`alpha`
17.2b	1	`beta`

Compiler

Compiled 82 to 61 computations (25.6% saved)

bsearch39.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	7735799440787.236	1.7865895373635075e+21

Compiler

Compiled 20 to 15 computations (25% saved)

regimes141.0ms (1.8%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

102.0ms	beta
35.0ms	alpha

Results

Error	Segments	Branch
18.2b	2	`alpha`
17.9b	2	`beta`

Compiler

Compiled 73 to 54 computations (26% saved)

bsearch61.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	0.0020510767633913156	3.031867133604552

Compiler

Compiled 20 to 15 computations (25% saved)

regimes65.0ms (0.8%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f64 1 2)
1

Calls

2 calls:

30.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
18.2b	2	`alpha`
18.2b	2	`beta`

Compiler

Compiled 52 to 39 computations (25% saved)

bsearch66.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
66.0ms	0.0020510767633913156	3.031867133604552

Compiler

Compiled 20 to 15 computations (25% saved)

regimes24.0ms (0.3%)

Accuracy

Total -22.3b remaining (-56.7%)

Threshold costs -22.3b (-56.7%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 beta alpha)

Outputs
1
(/.f64 beta alpha)

Calls

2 calls:

14.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
39.3b	2	`alpha`
40.9b	1	`beta`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch63.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
62.0ms	1.341043821216218e+114	1.7767674965197188e+115

Compiler

Compiled 20 to 15 computations (25% saved)

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
16×	`sub-neg_binary64`
13×	`*-commutative_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	391
1	96	391
2	115	391
3	141	391
4	170	391
5	189	391
6	196	391
7	199	391
8	200	391

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 4729461016226515/2305843009213693952) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)
(if (<=.f64 beta 4729461016226515/2305843009213693952) (/.f64 1 2) 1)
(if (<=.f64 alpha 1341043821216217875771479693281707040330186704562929983527760352600873132129438969329778188447728283311413294792704) 1 (/.f64 beta alpha))
1

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 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)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 3960729313683065/512) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 4729461016226515/2305843009213693952) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)
(if (<=.f64 beta 4729461016226515/2305843009213693952) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 4729461016226515/2305843009213693952) (/.f64 1 2) 1)
(if (<=.f64 beta 4729461016226515/2305843009213693952) 1/2 1)
(if (<=.f64 alpha 1341043821216217875771479693281707040330186704562929983527760352600873132129438969329778188447728283311413294792704) 1 (/.f64 beta alpha))
1

Compiler

Compiled 290 to 211 computations (27.2% saved)

soundness127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-*l/_binary64`
356×	`cancel-sign-sub-inv_binary64`
337×	`distribute-rgt-in_binary64`
334×	`associate-*r/_binary64`
326×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3079
1	822	2888
2	3028	2722

Stop Event

1×	node limit

Compiler

Compiled 534 to 406 computations (24% saved)

end168.0ms (2.1%)

Compiler: Compiled 270 to 181 computations (33% saved)

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Iter	Nodes	Cost
0	70	391
1	96	391
2	115	391
3	141	391
4	170	391
5	189	391
6	196	391
7	199	391
8	200	391

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Iter	Nodes	Cost
0	70	391
1	96	391
2	115	391
3	141	391
4	170	391
5	189	391
6	196	391
7	199	391
8	200	391

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Iter	Nodes	Cost
0	70	391
1	96	391
2	115	391
3	141	391
4	170	391
5	189	391
6	196	391
7	199	391
8	200	391