Details

analyze43.0ms (0.5%)

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)

sample1.9s (22.4%)

Results

997.0ms	6505×	body	256	valid
529.0ms	1030×	body	1024	valid
162.0ms	618×	body	512	valid
54.0ms	103×	body	2048	valid

preprocess80.0ms (0.9%)

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)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	2.2b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite264.0ms (3.1%)

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

182 → 214

Calls

Call 1

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

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

eval164.0ms (1.9%)

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

prune113.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	202	12	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	13	215

Error

0.0b

Counts

215 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	44.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	43.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
	17.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
▶	17.6b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
▶	17.6b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
	18.2b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶	19.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	39.5b	(/.f64 2 2)
	46.5b	(/.f64 (-.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))) (.f64 (/.f64 beta (.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
	34.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	46.5b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (+.f64 beta beta) 2)) (pow.f64 alpha 4))))) 2)

Compiler

Compiled 545 to 405 computations (25.7% saved)

localize109.0ms (1.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	0.2b	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
✓	2.1b	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 59 to 32 computations (45.8% saved)

series23.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
2.0ms	beta	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
2.0ms	beta	@	inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
2.0ms	beta	@	0	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
2.0ms	alpha	@	-inf	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))

rewrite121.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
449×	`fma-def_binary64`
326×	`pow2_binary64`
262×	`fma-neg_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	233	44
2	3571	44

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))

Outputs
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Outputs

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

simplify205.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-def_binary64`
316×	`distribute-lft-in_binary64`
316×	`distribute-rgt-in_binary64`
281×	`+-commutative_binary64`
266×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	5689
1	1502	5143
2	6337	4744

Stop Event

1×	node limit

Counts

224 → 271

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (.f64 1/6 (.f64 (pow.f64 beta 3) (+.f64 (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))))))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (.f64 3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 -3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))))
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))
(+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (.f64 -6 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 beta (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (.f64 beta (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))) (.f64 (pow.f64 beta 2) (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 2))))))))
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2
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2
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
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1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(/.f64 beta (+.f64 beta 2))
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-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
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-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
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 beta (-.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(fma.f64 beta (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))))
(+.f64 (fma.f64 beta (-.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (.f64 (.f64 1/2 (.f64 beta beta)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (fma.f64 1/2 (.f64 (.f64 beta beta) (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(+.f64 (fma.f64 beta (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (.f64 (.f64 beta beta) (+.f64 (/.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) -1/2))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (.f64 1/6 (.f64 (pow.f64 beta 3) (+.f64 (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))))))))))
(+.f64 (fma.f64 beta (-.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 1/2 (.f64 (.f64 beta beta) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2)) (.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (.f64 (.f64 1/6 (pow.f64 beta 3)) (fma.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -6 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 3))))))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 1/6 (.f64 (pow.f64 beta 3) (fma.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (/.f64 -6 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))))))) (.f64 (.f64 beta beta) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) -1/2) (.f64 1 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))))
(+.f64 (fma.f64 beta (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 1/6 (.f64 (pow.f64 beta 3) (fma.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 2 (pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) (/.f64 -6 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))))))))) (.f64 (.f64 beta beta) (+.f64 (/.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) -1/2)))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2))
(fma.f64 1/2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) (.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (*.f64 beta beta))))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (.f64 beta beta)) (log.f64 2)))
(fma.f64 1/2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2) (.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2)))) (.f64 beta beta)) (log.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (.f64 3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2))))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3) (fma.f64 3/2 (.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (.f64 (.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (pow.f64 beta 3)) (.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (.f64 beta beta)))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (.f64 beta beta)) (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3) (fma.f64 3 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 -1 alpha -2) alpha)) (.f64 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (+.f64 3 (*.f64 alpha 3/2))))) (/.f64 (pow.f64 beta 3) 1/6))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (log.f64 2)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2) (.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2)))) (.f64 beta beta)) (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 3) (fma.f64 3 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha)) (.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2) (+.f64 3 (*.f64 alpha 3/2))))) (/.f64 (pow.f64 beta 3) 1/6))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2))
(fma.f64 1/2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))
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(fma.f64 1/2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2) (.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2)))) (.f64 beta beta)) (log.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 -3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))))
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(fma.f64 1/2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (fma.f64 -1/6 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha)) -3 (fma.f64 -1/4 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 3) (.f64 (+.f64 alpha 2) (.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2) -3/2)))) (pow.f64 beta 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2) (.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2)))) (*.f64 beta beta)) (log.f64 2))))
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (/.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
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(-.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 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.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) (.f64 beta beta)) (-.f64 (fma.f64 -1 alpha -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (*.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) (+.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) 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 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.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) (.f64 beta beta)) (-.f64 (fma.f64 -1 alpha -2) alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (fma.f64 -1 alpha -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) (+.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) alpha))) (/.f64 (-.f64 (-.f64 -2 alpha) 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 -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 beta (+.f64 2 beta)) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (.f64 alpha alpha)) (*.f64 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 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (.f64 alpha alpha)) (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (-.f64 (/.f64 beta (+.f64 2 beta)) (.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 beta (+.f64 2 beta)) 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 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (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 (fma.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta (+.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 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.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 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))))
(+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) -1)))
-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 beta (+.f64 2 beta)) 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 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (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 (fma.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta (+.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 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.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 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))))
(+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) -1)))

localize7.0ms (0.1%)

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

localize12.0ms (0.1%)

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))
1.0ms	beta	@	inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	-inf	(/.f64 beta (+.f64 beta 2))

rewrite138.0ms (1.6%)

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))))))))

simplify59.0ms (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)))

localize10.0ms (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)

series14.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	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)

rewrite58.0ms (0.7%)

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)))))))

simplify20.0ms (0.2%)

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)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	2.2b	(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite108.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`fma-def_binary64`
650×	`log-prod_binary64`
421×	`fma-neg_binary64`
280×	`log-div_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	267	36
2	4346	36

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.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 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) 1 (/.f64 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)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) alpha (/.f64 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)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 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)))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 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 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.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 (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 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 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 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simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-/l*_binary64`
705×	`associate-/r*_binary64`
460×	`cancel-sign-sub-inv_binary64`
338×	`associate-*l/_binary64`
243×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	2458
1	752	2329
2	2761	2155

Stop Event

1×	node limit

Counts

314 → 344

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

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

eval541.0ms (6.3%)

Compiler: Compiled 23240 to 16613 computations (28.5% saved)

prune122.0ms (1.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	690	9	699
Fresh	5	2	7
Picked	0	1	1
Done	1	4	5
Total	696	16	712

Error

0.0b

Counts

712 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	43.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	37.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	47.2b	(/.f64 (/.f64 2 alpha) 2)
	36.0b	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
▶	17.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
✓	17.6b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
	35.5b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) 2)
✓	19.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	34.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	39.5b	(/.f64 2 2)
	44.2b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) 2)
▶	17.8b	(/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
	33.6b	(/.f64 (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)

Compiler

Compiled 511 to 378 computations (26% saved)

localize31.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	17.8b	(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))

Compiler

Compiled 79 to 51 computations (35.4% saved)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	inf	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
3.0ms	alpha	@	inf	(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
1.0ms	alpha	@	-inf	(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
1.0ms	alpha	@	0	(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
1.0ms	beta	@	0	(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
534×	`fma-def_binary64`
334×	`pow2_binary64`
286×	`fma-neg_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	276	35
2	3987	35

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

784×	`times-frac_binary64`
526×	`associate-/l*_binary64`
408×	`associate-/r*_binary64`
272×	`cancel-sign-sub-inv_binary64`
271×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1813
1	631	1727
2	2395	1613

Stop Event

1×	node limit

Counts

107 → 130

Calls

Call 1

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

localize11.0ms (0.1%)

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

localize17.0ms (0.2%)

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

localize43.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 69 to 50 computations (27.5% saved)

series25.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite162.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	284	35
2	4236	35

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-r_binary64`
385×	`times-frac_binary64`
364×	`associate-/l*_binary64`
342×	`associate-*l/_binary64`
333×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	1218
1	185	1168
2	573	1037
3	1876	880
4	7422	880

Stop Event

1×	node limit

Counts

243 → 201

Calls

Call 1

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

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

localize41.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	17.8b	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	inf	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	alpha	@	-inf	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	alpha	@	0	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	beta	@	0	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	beta	@	inf	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

rewrite78.0ms (0.9%)

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	17
1	230	16
2	3281	16

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
547×	`times-frac_binary64`
446×	`+-commutative_binary64`
377×	`associate-/l*_binary64`
314×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1170
1	513	1099
2	1921	1012

Stop Event

1×	node limit

Counts

50 → 70

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))))))))

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

eval374.0ms (4.4%)

Compiler: Compiled 15816 to 11072 computations (30% saved)

prune87.0ms (1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	529	3	532
Fresh	1	5	6
Picked	1	0	1
Done	1	8	9
Total	532	16	548

Error

0.0b

Counts

548 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
▶	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	37.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	47.2b	(/.f64 (/.f64 2 alpha) 2)
	36.0b	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
✓	17.6b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
	35.5b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) 2)
✓	19.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	17.8b	(/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
▶	48.1b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
	34.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	39.5b	(/.f64 2 2)
▶	44.8b	(/.f64 (.f64 (.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 -2 (sqrt.f64 alpha))) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	36.3b	(/.f64 (fma.f64 (/.f64 1 (+.f64 2 alpha)) (-.f64 beta alpha) 1) 2)
▶	33.6b	(/.f64 (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)

Compiler

Compiled 472 to 345 computations (26.9% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	2.2b	(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
✓	6.4b	(sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 110 to 72 computations (34.5% saved)

series17.0ms (0.2%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
3.0ms	alpha	@	inf	(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
1.0ms	beta	@	0	(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
1.0ms	alpha	@	-inf	(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
1.0ms	beta	@	inf	(sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
593×	`fma-def_binary64`
302×	`fma-neg_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	298	37
2	4356	37

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs

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

(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2)) (+.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 0 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))))))

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

651×	`times-frac_binary64`
634×	`distribute-rgt-in_binary64`
618×	`distribute-lft-in_binary64`
505×	`associate-/l*_binary64`
385×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2019
1	731	1734
2	3214	1537

Stop Event

1×	node limit

Counts

113 → 135

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (/.f64 (fma.f64 -1/2 beta -1) alpha))
(fma.f64 -1/2 (/.f64 (+.f64 beta 2) alpha) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 2) alpha)) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (+.f64 beta 2)) 2) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))
(+.f64 1 (.f64 -1/2 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 beta -1/2) -1) 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)))))
(fma.f64 -1/2 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 beta -1) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha))) 1)
(fma.f64 -1/2 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) -3/4) (.f64 alpha alpha))) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 1/2 (.f64 (+.f64 (pow.f64 (.f64 -1/2 (+.f64 beta 2)) 2) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)))) (pow.f64 alpha 3))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (+.f64 beta 2)) 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (+.f64 beta 2) alpha) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 1/2 (.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 (.f64 beta -1/2) -1) 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 beta -1/2) -1) 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha alpha))))))
(+.f64 1 (fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 beta -1) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha)) (/.f64 (fma.f64 1/2 (.f64 (+.f64 beta 2) (-.f64 (pow.f64 (fma.f64 -1/2 beta -1) 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (/.f64 (fma.f64 -1/2 beta -1) alpha)))
(+.f64 1 (fma.f64 -1/2 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) -3/4) (.f64 alpha alpha)) (/.f64 (fma.f64 1/2 (.f64 (+.f64 beta 2) (.f64 (pow.f64 (+.f64 beta 2) 2) -3/4)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (/.f64 (fma.f64 -1/2 beta -1) alpha)))
(pow.f64 (sqrt.f64 -1) 2)
-1
(+.f64 (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (sqrt.f64 -1) 2))
(fma.f64 1/2 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (sqrt.f64 -1) 2))
(fma.f64 (/.f64 (+.f64 beta 2) alpha) 1/2 -1)
(+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 2) (sqrt.f64 -1))) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 1/2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (.f64 -1/2 (/.f64 (+.f64 beta 2) (sqrt.f64 -1))) 2)) (.f64 alpha alpha)) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 (/.f64 (+.f64 beta 2) alpha) 1/2 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 (fma.f64 -1/2 beta -1) (sqrt.f64 -1)) 2)) (*.f64 alpha alpha)) -1))
(+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (+.f64 beta 2) (sqrt.f64 -1))) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 2) (sqrt.f64 -1))) 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 alpha 3))))))
(fma.f64 1/2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (.f64 -1/2 (/.f64 (+.f64 beta 2) (sqrt.f64 -1))) 2)) (.f64 alpha alpha)) (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 2) (sqrt.f64 -1))) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 beta 2))))) (pow.f64 alpha 3)))))
(fma.f64 (/.f64 (+.f64 beta 2) alpha) 1/2 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 (fma.f64 -1/2 beta -1) (sqrt.f64 -1)) 2)) (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 (fma.f64 -1/2 beta -1) (sqrt.f64 -1)) 2)) -1) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) -1)))
(fma.f64 (/.f64 (+.f64 beta 2) alpha) 1/2 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 (fma.f64 -1/2 beta -1) (sqrt.f64 -1)) 2)) (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 (fma.f64 -1/2 beta -1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (/.f64 (fma.f64 -1/2 beta -1) (sqrt.f64 -1)) 2)))) (pow.f64 alpha 3)) -1)))
(sqrt.f64 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 -1/2 (.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))))
(fma.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2))) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (+.f64 (.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 -1/2 (.f64 (.f64 beta beta) (.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (fma.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 -1/2 (.f64 (-.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (.f64 (.f64 beta beta) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (fma.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))) (.f64 -1/2 (.f64 beta (+.f64 (.f64 beta (.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))))) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2))) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (+.f64 (.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (.f64 1/2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha)))))) (fma.f64 -1/2 (.f64 (.f64 beta beta) (.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)))) (fma.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (fma.f64 -1/2 (.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha)))) (.f64 (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 beta 3) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (.f64 -1/2 (.f64 beta (.f64 beta (-.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 (.f64 (pow.f64 beta 3) (fma.f64 1/2 (-.f64 (/.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (.f64 beta (.f64 beta (-.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))))) (.f64 beta (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 1) (/.f64 alpha (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (.f64 -1/4 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (fma.f64 (.f64 beta beta) (-.f64 (fma.f64 -1/4 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (neg.f64 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (fma.f64 (.f64 beta beta) (+.f64 (+.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) -5/4)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (+.f64 2 alpha))) (fma.f64 (.f64 beta beta) (+.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) -5/4) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4 (/.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 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (.f64 -1/4 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (fma.f64 (.f64 beta beta) (-.f64 (fma.f64 -1/4 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (fma.f64 -1 (/.f64 alpha (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 1/2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (fma.f64 (.f64 beta beta) (+.f64 (+.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) -5/4)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 (pow.f64 beta 3) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) 2) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (+.f64 2 alpha))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (.f64 (.f64 beta beta) (+.f64 (.f64 (+.f64 (fma.f64 1/2 (-.f64 (/.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 -1/2 (-.f64 (/.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) beta) (+.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) -5/4) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) 1/4 (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 2 (/.f64 (+.f64 2 alpha) beta))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 2 (/.f64 (+.f64 2 alpha) beta))

localize7.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	inf	(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
1.0ms	alpha	@	0	(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
1.0ms	alpha	@	-inf	(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
0.0ms	alpha	@	0	(+.f64 2 (/.f64 -4 alpha))
0.0ms	alpha	@	inf	(+.f64 2 (/.f64 -4 alpha))

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2152	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-neg_binary64`
572×	`associate-/l*_binary64`
541×	`fma-def_binary64`
445×	`associate-/r/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	201
1	40	201
2	70	201
3	149	201
4	412	201
5	1563	201
6	4307	201
7	6551	201

Stop Event

1×	node limit

Counts

86 → 71

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 2 alpha))
✓	17.8b	(fma.f64 (/.f64 1 (+.f64 2 alpha)) (-.f64 beta alpha) 1)

Compiler

Compiled 39 to 25 computations (35.9% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite108.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`unpow-prod-down_binary64`
422×	`log-prod_binary64`
411×	`prod-diff_binary64`
275×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	200	20
2	2665	20

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))) 2) 3) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 alpha))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 alpha)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 alpha))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) -2) (/.f64 1 (cbrt.f64 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 alpha) -1/2) (pow.f64 (+.f64 2 alpha) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (fma.f64 -1 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (pow.f64 (/.f64 1 (fma.f64 alpha (-.f64 alpha 2) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (pow.f64 (/.f64 1 (-.f64 2 alpha)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) 1) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) 1) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 alpha) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 alpha) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 2 alpha) -2) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 2 alpha) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 alpha) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 2 alpha)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 2 alpha)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 alpha) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 alpha) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 alpha) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 alpha) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 alpha)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 alpha)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 alpha) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1 alpha -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 alpha) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 alpha)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 alpha))) 1))))))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-neg_binary64`
494×	`associate-/r*_binary64`
467×	`associate-+l+_binary64`
452×	`fma-def_binary64`
368×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	776
1	334	759
2	1029	745
3	4032	709

Stop Event

1×	node limit

Counts

112 → 116

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 -2 (sqrt.f64 alpha))) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))
✓	0.2b	(/.f64 (+.f64 beta 1) (sqrt.f64 alpha))
✓	0.2b	(/.f64 -2 (sqrt.f64 alpha))
✓	0.3b	(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 -2 (sqrt.f64 alpha)))

Compiler

Compiled 89 to 56 computations (37.1% saved)

series15.0ms (0.2%)

Counts

4 → 60

Calls

21 calls:

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

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`prod-diff_binary64`
361×	`log-div_binary64`
302×	`log1p-udef_binary64`
301×	`expm1-udef_binary64`
274×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	347	47
2	5100	47

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/l*_binary64`
696×	`associate-/r*_binary64`
643×	`associate-*l/_binary64`
473×	`associate-*r/_binary64`
346×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1127
1	206	1077
2	634	1038
3	2257	877

Stop Event

1×	node limit

Counts

203 → 175

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

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

eval494.0ms (5.8%)

Compiler: Compiled 23864 to 17417 computations (27% saved)

prune122.0ms (1.4%)

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	771	4	775
Fresh	1	2	3
Picked	1	0	1
Done	0	12	12
Total	773	18	791

Error

0.0b

Counts

791 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
✓	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	37.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	47.2b	(/.f64 (/.f64 2 alpha) 2)
	36.0b	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
✓	17.6b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
	35.5b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) 2)
✓	19.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	17.8b	(/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
✓	48.1b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
✓	33.6b	(/.f64 (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
	61.6b	(/.f64 0 2)
	34.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	39.5b	(/.f64 2 2)
✓	36.3b	(/.f64 (fma.f64 (/.f64 1 (+.f64 2 alpha)) (-.f64 beta alpha) 1) 2)
	47.0b	(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
	48.4b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 3) 2)

Compiler

Compiled 292 to 219 computations (25% saved)

regimes159.0ms (1.9%)

Counts

29 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)

Calls

8 calls:

43.0ms	beta
34.0ms	alpha
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
15.0ms	(/.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
3.1b	2	`alpha`
15.2b	3	`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 584 to 411 computations (29.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999995493009	-0.999941967245528

Compiler

Compiled 20 to 15 computations (25% saved)

regimes179.0ms (2.1%)

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

37.0ms	alpha
33.0ms	beta
25.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
23.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
13.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.1b	2	`alpha`
15.7b	3	`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 287 to 204 computations (28.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999995493009	-0.999941967245528

Compiler

Compiled 20 to 15 computations (25% saved)

regimes96.0ms (1.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

8 calls:

26.0ms	beta
20.0ms	alpha
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.2b	2	`alpha`
15.7b	3	`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 207 to 154 computations (25.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999995493009	-0.999941967245528

Compiler

Compiled 20 to 15 computations (25% saved)

regimes113.0ms (1.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

8 calls:

50.0ms	beta
16.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.2b	2	`alpha`
15.7b	3	`beta`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 190 to 141 computations (25.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999995493009	-0.999941967245528

Compiler

Compiled 20 to 15 computations (25% saved)

regimes42.0ms (0.5%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	beta
16.0ms	alpha

Results

Error	Segments	Branch
4.1b	2	`alpha`
16.6b	3	`beta`

Compiler

Compiled 99 to 78 computations (21.2% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.1268744325725516e+28	3.6592788903092483e+28

Compiler

Compiled 20 to 15 computations (25% saved)

regimes81.0ms (1%)

Counts

11 → 6

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	alpha
36.0ms	beta

Results

Error	Segments	Branch
14.4b	6	`alpha`
16.9b	4	`beta`

Compiler

Compiled 81 to 64 computations (21% saved)

bsearch108.0ms (1.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	30594.135145607757	4437549716.950674
21.0ms	3.549104777889903e-269	6.224997670750106e-267
21.0ms	-1.5569750566321883e-307	1.1993497405581596e-306
23.0ms	-3.4353413598737325e-135	-1.979550910229508e-136
22.0ms	-6.0899653888988816e-86	-2.5442177497937754e-90

Compiler

Compiled 20 to 15 computations (25% saved)

regimes103.0ms (1.2%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

72.0ms	alpha
25.0ms	beta

Results

Error	Segments	Branch
17.6b	6	`alpha`
16.9b	4	`beta`

Compiler

Compiled 72 to 58 computations (19.4% saved)

bsearch140.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
32.0ms	0.0030235064129672047	993.766977698224
53.0ms	2.377065411610965e-130	1.8481695727339026e-128
54.0ms	2.3066403972338685e-168	1.9398252079935413e-165

Compiler

Compiled 20 to 15 computations (25% saved)

regimes53.0ms (0.6%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
19.3b	6	`alpha`
17.6b	4	`beta`

Compiler

Compiled 45 to 37 computations (17.8% saved)

bsearch96.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
34.0ms	0.0030235064129672047	993.766977698224
31.0ms	3.717500748633203e-100	2.716450246189963e-93
31.0ms	2.3066403972338685e-168	1.9398252079935413e-165

Compiler

Compiled 20 to 15 computations (25% saved)

regimes22.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	beta
9.0ms	alpha

Results

Error	Segments	Branch
27.8b	2	`alpha`
29.1b	2	`beta`

Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	2.1268744325725516e+28	3.6592788903092483e+28

Compiler

Compiled 20 to 15 computations (25% saved)

regimes17.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
28.4b	2	`alpha`
29.1b	2	`beta`

Compiler

Compiled 24 to 21 computations (12.5% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	2.1268744325725516e+28	3.6592788903092483e+28

Compiler

Compiled 20 to 15 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -22.4b remaining (-56.7%)

Threshold costs -22.4b (-56.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)

Outputs
(/.f64 2 2)

Calls

2 calls:

5.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
39.5b	1	`alpha`
39.5b	1	`beta`

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

31×	`+-commutative_binary64`
29×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-neg-in_binary64`
24×	`sub-neg_binary64`
23×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	504
1	121	504
2	140	504
3	155	504
4	172	504
5	207	504
6	251	504
7	293	504
8	347	504
9	373	504

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha -8524979974894423/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -2811303535581959/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (/.f64 2 2) (if (<=.f64 alpha -1969595373785203/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 1319394703670393/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (/.f64 2 2) (if (<=.f64 alpha 8409651833586529/274877906944) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))))
(if (<=.f64 beta 4900577402947469/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 beta 2968240201081127/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 55773849005225608/18446744073709551616) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 2 2))))
(if (<=.f64 beta 4900577402947469/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 14647698753274658/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 55773849005225608/18446744073709551616) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 2 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
(/.f64 0 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18445821736505866240/18446744073709551616) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(if (<=.f64 alpha -8524979974894423/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -2811303535581959/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (/.f64 2 2) (if (<=.f64 alpha -1969595373785203/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 1319394703670393/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (/.f64 2 2) (if (<=.f64 alpha 8409651833586529/274877906944) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))))
(if (<=.f64 alpha -8524979974894423/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -2811303535581959/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) 1 (if (<=.f64 alpha -1969595373785203/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 1319394703670393/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) 1 (if (<=.f64 alpha 8409651833586529/274877906944) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))))))
(if (<=.f64 beta 4900577402947469/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 beta 2968240201081127/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 55773849005225608/18446744073709551616) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 2 2))))
(if (<=.f64 beta 4900577402947469/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 beta 2968240201081127/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6971731125653201/2305843009213693952) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1)))
(if (<=.f64 beta 4900577402947469/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 14647698753274658/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 55773849005225608/18446744073709551616) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 4900577402947469/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 7323849376637329/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 6971731125653201/2305843009213693952) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 2 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 21268744325725516157406937088) 1 (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 21268744325725516157406937088) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 21268744325725516157406937088) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1
(/.f64 0 2)
0

Compiler

Compiled 370 to 276 computations (25.4% saved)

soundness100.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 943 to 719 computations (23.8% saved)

end164.0ms (1.9%)

Compiler: Compiled 348 to 246 computations (29.3% 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	95	504
1	121	504
2	140	504
3	155	504
4	172	504
5	207	504
6	251	504
7	293	504
8	347	504
9	373	504

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	95	504
1	121	504
2	140	504
3	155	504
4	172	504
5	207	504
6	251	504
7	293	504
8	347	504
9	373	504

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	95	504
1	121	504
2	140	504
3	155	504
4	172	504
5	207	504
6	251	504
7	293	504
8	347	504
9	373	504