Details

analyze41.0ms (0.7%)

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)

sample1.2s (20.6%)

Results

730.0ms	6583×	body	256	valid
271.0ms	1011×	body	1024	valid
108.0ms	558×	body	512	valid
36.0ms	104×	body	2048	valid

preprocess76.0ms (1.3%)

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)

simplify68.0ms (1.2%)

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

15.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	2.0b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series11.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (1.3%)

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)))))))))

simplify61.0ms (1.1%)

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)))))

eval394.0ms (7%)

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

prune42.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Error

0.0b

Counts

215 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	40.9b	(/.f64 2 2)
	47.6b	(/.f64 (-.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))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	47.2b	(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
▶	46.5b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	45.8b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
▶	30.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	46.7b	(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
▶	17.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)

Compiler

Compiled 365 to 285 computations (21.9% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

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

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

90 → 93

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite238.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2193	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 88

Calls

Call 1

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

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

localize54.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

series6.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite97.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
283×	`prod-diff_binary64`
270×	`pow2_binary64`
269×	`pow-prod-down_binary64`
212×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	224	19
2	3131	19

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-def_binary64`
664×	`fma-neg_binary64`
194×	`cancel-sign-sub-inv_binary64`
95×	`distribute-rgt-in_binary64`
68×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	296
1	53	276
2	104	276
3	166	247
4	294	220
5	600	220
6	1289	220
7	2176	220
8	2934	220
9	3249	220
10	3259	220

Stop Event

1×

saturated

Counts

157 → 145

Calls

Call 1

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

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

localize59.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
✓	0.5b	(.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta))
✓	2.1b	(/.f64 (+.f64 (+.f64 beta beta) 2) (*.f64 alpha alpha))
✓	3.5b	(fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta))))

Compiler

Compiled 111 to 55 computations (50.5% saved)

series16.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite108.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`fma-def_binary64`
460×	`fma-neg_binary64`
335×	`expm1-udef_binary64`
335×	`log1p-udef_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	384	87
2	5915	87

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 2)) (.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 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simplify205.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

681×	`times-frac_binary64`
573×	`associate-/l*_binary64`
439×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
333×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	2391
1	254	2218
2	719	2159
3	2517	1929

Stop Event

1×	node limit

Counts

229 → 190

Calls

Call 1

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

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

eval246.0ms (4.4%)

Compiler: Compiled 10312 to 7776 computations (24.6% saved)

prune125.0ms (2.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	508	8	516
Fresh	4	1	5
Picked	1	0	1
Done	1	4	5
Total	514	13	527

Error

0.0b

Counts

527 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
✓	40.9b	(/.f64 2 2)
▶	33.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	30.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	32.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
▶	31.3b	(/.f64 1 2)
▶	45.8b	(/.f64 (+.f64 1 beta) alpha)
▶	48.7b	(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 -2 alpha) alpha))
	46.2b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	48.3b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)
▶	46.6b	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))) 2)
✓	17.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)

Compiler

Compiled 264 to 212 computations (19.7% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1729	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	186
1	13	186

Stop Event

1×

saturated

Counts

55 → 37

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 17 computations (32% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite94.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`log-prod_binary64`
357×	`prod-exp_binary64`
322×	`fma-def_binary64`
318×	`exp-prod_binary64`
280×	`pow-prod-down_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	183	20
2	2739	18

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 4 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 -2 alpha)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) alpha) (/.f64 (sqrt.f64 -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -1/2) (/.f64 (/.f64 -2 alpha) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 alpha)) (*.f64 (sqrt.f64 (/.f64 -2 alpha)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) -2) (/.f64 (/.f64 -2 alpha) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 alpha)) 1) (/.f64 (sqrt.f64 (/.f64 -2 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 alpha)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (/.f64 -2 alpha)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 alpha)) (pow.f64 alpha -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 alpha)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (/.f64 -2 alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 alpha) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 alpha) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 alpha 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 alpha 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (*.f64 alpha -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha alpha) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha (*.f64 alpha -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 alpha -3) (pow.f64 (*.f64 alpha -1/2) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (cbrt.f64 alpha)) (cbrt.f64 (/.f64 -2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 alpha -1/2) (sqrt.f64 (/.f64 -2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))))) (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 alpha) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -8 (pow.f64 alpha 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (*.f64 alpha -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 -2 alpha)) 1) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -2 alpha)) (*.f64 (log.f64 alpha) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 -2 alpha)) 1) (*.f64 (log.f64 alpha) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 alpha) -1) (log.f64 (*.f64 alpha -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 alpha)) 1) (log.f64 (*.f64 alpha -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -2 alpha)) 1) (neg.f64 (log.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 -2 alpha)) (*.f64 (log.f64 alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -2 alpha)) 1) (*.f64 (log.f64 alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 -2 alpha)) (*.f64 (neg.f64 (log.f64 alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -2 alpha)) 1) (*.f64 (neg.f64 (log.f64 alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 alpha) -1) (log.f64 (/.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 alpha)) 1) (log.f64 (/.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (*.f64 (log.f64 (/.f64 -2 alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 alpha) -1) (*.f64 (log.f64 (/.f64 -2 alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 alpha)) 1) (*.f64 (log.f64 (/.f64 -2 alpha)) 1)))))))

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

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64`
554×	`fma-neg_binary64`
533×	`associate-/r*_binary64`
494×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	216
1	25	216
2	45	216
3	99	216
4	264	216
5	952	216
6	5098	216

Stop Event

1×	node limit

Counts

191 → 171

Calls

Call 1

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

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

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -6 alpha) 2)
✓	0.1b	(*.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2))
✓	0.3b	(/.f64 -4 (*.f64 alpha alpha))
✓	1.8b	(+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))

Compiler

Compiled 93 to 54 computations (41.9% saved)

series10.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))
1.0ms	beta	@	0	(+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))
1.0ms	beta	@	inf	(+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))
1.0ms	alpha	@	inf	(+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))
1.0ms	beta	@	0	(*.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2))

rewrite93.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log-prod_binary64`
506×	`fma-def_binary64`
312×	`log-div_binary64`
272×	`fma-neg_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	309	47
2	4535	47

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

Outputs
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alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 beta alpha) -6) (pow.f64 alpha -1) (.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 beta alpha) (pow.f64 (cbrt.f64 (/.f64 -6 alpha)) 2)) (cbrt.f64 (/.f64 -6 alpha)) (.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 beta alpha) (sqrt.f64 (/.f64 -6 alpha))) (sqrt.f64 (/.f64 -6 alpha)) (.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 -6 alpha) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 -6 alpha) (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -6 alpha) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 36 (.f64 alpha alpha)) (+.f64 (/.f64 -6 alpha) -2)) (/.f64 4 (+.f64 (/.f64 -6 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 -6 alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 -6 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 -6 alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6 alpha) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6 alpha) 2)) 2) (cbrt.f64 (+.f64 (/.f64 -6 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 -6 alpha) 2)) (sqrt.f64 (+.f64 (/.f64 -6 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 8 (/.f64 -216 (pow.f64 alpha 3))) (/.f64 1 (+.f64 (/.f64 36 (.f64 alpha alpha)) (-.f64 4 (/.f64 -12 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 36 (.f64 alpha alpha)) -4) (/.f64 1 (+.f64 (/.f64 -6 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 36 (.f64 alpha alpha)) (-.f64 4 (/.f64 -12 alpha))) (+.f64 8 (/.f64 -216 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -6 alpha) -2) (+.f64 (/.f64 36 (.f64 alpha alpha)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 -216 (pow.f64 alpha 3))) (+.f64 (/.f64 36 (.f64 alpha alpha)) (-.f64 4 (/.f64 -12 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 -216 (pow.f64 alpha 3))) (+.f64 4 (-.f64 (/.f64 36 (.f64 alpha alpha)) (/.f64 -12 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 36 (.f64 alpha alpha)) -4) (+.f64 (/.f64 -6 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (/.f64 -216 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 36 (.f64 alpha alpha)) (-.f64 4 (/.f64 -12 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 36 (.f64 alpha alpha)) -4)) (neg.f64 (+.f64 (/.f64 -6 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 36 (.f64 alpha alpha))) (-.f64 2 (/.f64 -6 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -6 alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -6 alpha) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -6 alpha) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -6 alpha) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -6 alpha) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -6 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -6 alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -6 alpha) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -6 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -6 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -6 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -6 alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (pow.f64 alpha -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -6 alpha) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -6 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -6 alpha)) (pow.f64 (cbrt.f64 (/.f64 -6 alpha)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6 alpha)) 2) (cbrt.f64 (/.f64 -6 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -6 alpha)) (sqrt.f64 (/.f64 -6 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (/.f64 1 (neg.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha -1) -6 2)))))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

685×	`times-frac_binary64`
474×	`associate-/r*_binary64`
470×	`fma-def_binary64`
455×	`associate-*l/_binary64`
408×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	1027
1	89	991
2	188	832
3	439	832
4	1676	832
5	7084	832

Stop Event

1×	node limit

Counts

305 → 252

Calls

Call 1

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

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

eval193.0ms (3.4%)

Compiler: Compiled 9791 to 6694 computations (31.6% saved)

prune89.0ms (1.6%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	455	5	460
Fresh	0	4	4
Picked	1	0	1
Done	0	8	8
Total	456	17	473

Error

0.0b

Counts

473 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
	59.1b	(/.f64 beta alpha)
✓	40.9b	(/.f64 2 2)
▶	32.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
▶	56.6b	(/.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha)))
✓	33.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	30.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	31.3b	(/.f64 1 2)
✓	45.8b	(/.f64 (+.f64 1 beta) alpha)
✓	48.7b	(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 -2 alpha) alpha))
✓	17.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	60.8b	(-.f64 (+.f64 1 (/.f64 (+.f64 1 beta) alpha)) 1)
	46.2b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
▶	45.8b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	47.8b	(/.f64 1 alpha)
	48.3b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)

Compiler

Compiled 274 to 214 computations (21.9% saved)

localize8.0ms (0.1%)

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

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

67 → 57

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 1 beta) alpha)
✓	2.1b	(-.f64 (+.f64 1 (/.f64 (+.f64 1 beta) alpha)) 1)

Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`unpow-prod-down_binary64`
521×	`prod-diff_binary64`
479×	`fma-def_binary64`
389×	`log-prod_binary64`
224×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	188	7
2	2874	7

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	186
1	13	186

Stop Event

1×

saturated

Counts

165 → 146

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha)))
✓	0.1b	(fma.f64 alpha (/.f64 -2 alpha) alpha)
✓	10.7b	(/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha))

Compiler

Compiled 39 to 20 computations (48.7% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(fma.f64 alpha (/.f64 -2 alpha) alpha)
1.0ms	alpha	@	0	(/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha))
1.0ms	alpha	@	inf	(/.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha)))
0.0ms	alpha	@	0	(fma.f64 alpha (/.f64 -2 alpha) alpha)
0.0ms	alpha	@	0	(/.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha)))

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
901×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	196	36
2	2547	36

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
646×	`times-frac_binary64`
517×	`associate-*l/_binary64`
488×	`fma-neg_binary64`
412×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	309
1	96	309
2	220	306
3	588	300
4	1678	294
5	4144	294
6	7731	294

Stop Event

1×	node limit

Counts

131 → 118

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 alpha 2))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 -1/2 (pow.f64 alpha 2)))
(+.f64 (.f64 -1/8 (pow.f64 alpha 4)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (*.f64 -1/2 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/16 (pow.f64 alpha 5)) (+.f64 (.f64 -1/8 (pow.f64 alpha 4)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 -1/2 (pow.f64 alpha 2)))))
alpha
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 4 (/.f64 1 alpha))))
(+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 alpha (.f64 4 (/.f64 1 alpha)))))
alpha
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 4 (/.f64 1 alpha))))
(+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 alpha (.f64 4 (/.f64 1 alpha)))))
-2
(-.f64 alpha 2)
(-.f64 alpha 2)
(-.f64 alpha 2)
alpha
(-.f64 alpha 2)
(-.f64 alpha 2)
(-.f64 alpha 2)
alpha
(-.f64 alpha 2)
(-.f64 alpha 2)
(-.f64 alpha 2)
(/.f64 -2 (pow.f64 alpha 2))
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (*.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 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (*.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 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))

Outputs
(*.f64 -1/2 (pow.f64 alpha 2))
(.f64 -1/2 (.f64 alpha alpha))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 -1/2 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (.f64 -1/2 (.f64 alpha alpha)))
(fma.f64 -1/2 (.f64 alpha alpha) (.f64 -1/4 (pow.f64 alpha 3)))
(.f64 (.f64 alpha alpha) (+.f64 -1/2 (*.f64 alpha -1/4)))
(.f64 alpha (.f64 alpha (fma.f64 alpha -1/4 -1/2)))
(+.f64 (.f64 -1/8 (pow.f64 alpha 4)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (*.f64 -1/2 (pow.f64 alpha 2))))
(fma.f64 -1/8 (pow.f64 alpha 4) (fma.f64 -1/4 (pow.f64 alpha 3) (.f64 -1/2 (.f64 alpha alpha))))
(fma.f64 -1/8 (pow.f64 alpha 4) (fma.f64 -1/2 (.f64 alpha alpha) (.f64 -1/4 (pow.f64 alpha 3))))
(fma.f64 -1/8 (pow.f64 alpha 4) (.f64 (.f64 alpha alpha) (+.f64 -1/2 (*.f64 alpha -1/4))))
(fma.f64 alpha (.f64 alpha (fma.f64 alpha -1/4 -1/2)) (.f64 -1/8 (pow.f64 alpha 4)))
(.f64 alpha (.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/8 -1/4) -1/2)))
(+.f64 (.f64 -1/16 (pow.f64 alpha 5)) (+.f64 (.f64 -1/8 (pow.f64 alpha 4)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 -1/2 (pow.f64 alpha 2)))))
(fma.f64 -1/16 (pow.f64 alpha 5) (fma.f64 -1/8 (pow.f64 alpha 4) (fma.f64 -1/4 (pow.f64 alpha 3) (.f64 -1/2 (.f64 alpha alpha)))))
(fma.f64 -1/16 (pow.f64 alpha 5) (fma.f64 -1/8 (pow.f64 alpha 4) (fma.f64 -1/2 (.f64 alpha alpha) (.f64 -1/4 (pow.f64 alpha 3)))))
(fma.f64 -1/8 (pow.f64 alpha 4) (fma.f64 -1/16 (pow.f64 alpha 5) (.f64 (.f64 alpha alpha) (+.f64 -1/2 (*.f64 alpha -1/4)))))
(fma.f64 alpha (.f64 alpha (fma.f64 alpha -1/4 -1/2)) (fma.f64 -1/16 (pow.f64 alpha 5) (.f64 -1/8 (pow.f64 alpha 4))))
(fma.f64 alpha (.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/8 -1/4) -1/2)) (.f64 -1/16 (pow.f64 alpha 5)))
alpha
(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha (*.f64 4 (/.f64 1 alpha))))
(+.f64 2 (+.f64 alpha (/.f64 4 alpha)))
(+.f64 alpha (+.f64 (/.f64 4 alpha) 2))
(+.f64 (+.f64 alpha 2) (/.f64 4 alpha))
(+.f64 alpha (+.f64 2 (/.f64 4 alpha)))
(+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 alpha (.f64 4 (/.f64 1 alpha)))))
(+.f64 2 (+.f64 (+.f64 alpha (/.f64 4 alpha)) (/.f64 8 (*.f64 alpha alpha))))
(+.f64 (+.f64 alpha (/.f64 8 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) 2))
(+.f64 alpha (+.f64 2 (+.f64 (/.f64 4 alpha) (/.f64 8 (*.f64 alpha alpha)))))
(+.f64 alpha (+.f64 (/.f64 8 (*.f64 alpha alpha)) (+.f64 2 (/.f64 4 alpha))))
(+.f64 (+.f64 alpha 2) (+.f64 (/.f64 4 alpha) (/.f64 8 (*.f64 alpha alpha))))
alpha
(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha (*.f64 4 (/.f64 1 alpha))))
(+.f64 2 (+.f64 alpha (/.f64 4 alpha)))
(+.f64 alpha (+.f64 (/.f64 4 alpha) 2))
(+.f64 (+.f64 alpha 2) (/.f64 4 alpha))
(+.f64 alpha (+.f64 2 (/.f64 4 alpha)))
(+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 alpha (.f64 4 (/.f64 1 alpha)))))
(+.f64 2 (+.f64 (+.f64 alpha (/.f64 4 alpha)) (/.f64 8 (*.f64 alpha alpha))))
(+.f64 (+.f64 alpha (/.f64 8 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) 2))
(+.f64 alpha (+.f64 2 (+.f64 (/.f64 4 alpha) (/.f64 8 (*.f64 alpha alpha)))))
(+.f64 alpha (+.f64 (/.f64 8 (*.f64 alpha alpha)) (+.f64 2 (/.f64 4 alpha))))
(+.f64 (+.f64 alpha 2) (+.f64 (/.f64 4 alpha) (/.f64 8 (*.f64 alpha alpha))))
-2
(-.f64 alpha 2)
(+.f64 alpha -2)
(-.f64 alpha 2)
(+.f64 alpha -2)
(-.f64 alpha 2)
(+.f64 alpha -2)
alpha
(-.f64 alpha 2)
(+.f64 alpha -2)
(-.f64 alpha 2)
(+.f64 alpha -2)
(-.f64 alpha 2)
(+.f64 alpha -2)
alpha
(-.f64 alpha 2)
(+.f64 alpha -2)
(-.f64 alpha 2)
(+.f64 alpha -2)
(-.f64 alpha 2)
(+.f64 alpha -2)
(/.f64 -2 (pow.f64 alpha 2))
(/.f64 -2 (*.f64 alpha alpha))
(/.f64 (/.f64 -2 alpha) 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 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 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 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 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 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 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 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 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))

eval149.0ms (2.6%)

Compiler: Compiled 5218 to 3555 computations (31.9% saved)

prune78.0ms (1.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	355	3	358
Fresh	2	2	4
Picked	1	0	1
Done	2	10	12
Total	360	15	375

Error

0.0b

Counts

375 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
✓	40.9b	(/.f64 2 2)
✓	33.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	30.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	32.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	31.3b	(/.f64 1 2)
	59.1b	(/.f64 beta alpha)
	61.3b	(-.f64 (+.f64 1 (/.f64 beta alpha)) 1)
✓	17.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	17.3b	(/.f64 1 (+.f64 alpha 2))
	46.2b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	45.8b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
✓	45.8b	(/.f64 (+.f64 1 beta) alpha)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	47.8b	(/.f64 1 alpha)

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes152.0ms (2.7%)

Counts

27 → 2

Calls

Call 1

Inputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 1 alpha)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 1 (+.f64 alpha 2))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 -1 1) 2)
(-.f64 (+.f64 1 (/.f64 beta alpha)) 1)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
(-.f64 (+.f64 1 (/.f64 (+.f64 1 beta) alpha)) 1)
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 -2 alpha) alpha))
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha)))) 2)
(/.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 alpha (/.f64 -2 alpha) alpha)))
(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)
(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
(/.f64 (-.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))) 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:

41.0ms	alpha
30.0ms	beta
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.6b	2	`alpha`
2.2b	2	`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 379 to 263 computations (30.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996629340057	-0.23382823392852012

Compiler

Compiled 20 to 15 computations (25% saved)

regimes106.0ms (1.9%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

8 calls:

30.0ms	alpha
20.0ms	beta
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.8b	2	`alpha`
2.2b	2	`beta`
0.5b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.5b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.5b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.5b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.5b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.5b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 222 to 159 computations (28.4% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999988794773	-0.9999998917940744

Compiler

Compiled 20 to 15 computations (25% saved)

regimes53.0ms (0.9%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
4.9b	2	`alpha`
2.5b	2	`beta`

Compiler

Compiled 131 to 96 computations (26.7% saved)

bsearch33.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	2.2581541331789086e-12	5.163048404338733e-11

Compiler

Compiled 20 to 15 computations (25% saved)

regimes42.0ms (0.7%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	beta
18.0ms	alpha

Results

Error	Segments	Branch
15.0b	2	`alpha`
3.3b	2	`beta`

Compiler

Compiled 109 to 78 computations (28.4% saved)

bsearch30.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	0.4562498702661438	6.506729430153103

Compiler

Compiled 20 to 15 computations (25% saved)

regimes68.0ms (1.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
15.0b	2	`alpha`
3.4b	2	`beta`

Compiler

Compiled 66 to 46 computations (30.3% saved)

bsearch29.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	0.4562498702661438	6.506729430153103

Compiler

Compiled 20 to 15 computations (25% saved)

regimes27.0ms (0.5%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	beta
9.0ms	alpha

Results

Error	Segments	Branch
18.4b	2	`alpha`
16.8b	4	`beta`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch89.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
28.0ms	0.4562498702661438	6.506729430153103
30.0ms	-2.063566676354855e-141	-1.3445408659673762e-144
30.0ms	-5.531919580598117e-133	-1.0232095782663082e-135

Compiler

Compiled 20 to 15 computations (25% saved)

regimes23.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
18.4b	2	`alpha`
30.1b	3	`beta`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	234.94453275108523	5933554.13829488

Compiler

Compiled 20 to 15 computations (25% saved)

regimes24.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
47.8b	1	`alpha`
45.9b	2	`beta`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch28.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	8.991567338544697e+36	1.0263417066052699e+42

Compiler

Compiled 20 to 15 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 beta alpha)

Calls

2 calls:

3.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
59.1b	1	`alpha`
59.1b	1	`beta`

Compiler

Compiled 14 to 7 computations (50% saved)

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
19×	`cancel-sign-sub-inv_binary64`
15×	`distribute-rgt-neg-in_binary64`
15×	`sub-neg_binary64`
15×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	226
1	82	226
2	93	226
3	105	226
4	120	226
5	145	226
6	171	226
7	196	226
8	229	226
9	245	226

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (.f64 (/.f64 (+.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)) -9007198354021067/9007199254740992) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 beta 1397729708169971/618970019642690137449562112) (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 (+.f64 alpha 2)) (/.f64 2 2))
(if (<=.f64 beta -7073489687018219/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 1 2) (if (<=.f64 beta -3541491922841077/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 1 alpha) (if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 alpha 8266375860550959/35184372088832) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 beta 8991567338544696983377707295813140480) (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)

Outputs
(if (<=.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.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 alpha beta) 2)) -9007198354021067/9007199254740992) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 beta 1397729708169971/618970019642690137449562112) (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 1397729708169971/618970019642690137449562112) (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 (+.f64 alpha 2)) (/.f64 2 2))
(if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 (+.f64 alpha 2)) 1)
(if (<=.f64 beta -7073489687018219/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 1 2) (if (<=.f64 beta -3541491922841077/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 1 alpha) (if (<=.f64 beta 8219066982873769/18014398509481984) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -7073489687018219/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) 1/2 (if (<=.f64 beta -3541491922841077/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 1 alpha) (if (<=.f64 beta 8219066982873769/18014398509481984) 1/2 1)))
(if (<=.f64 alpha 8266375860550959/35184372088832) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 8266375860550959/35184372088832) 1/2 (/.f64 1 alpha))
(if (<=.f64 beta 8991567338544696983377707295813140480) (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)

Compiler

Compiled 175 to 127 computations (27.4% saved)

soundness85.0ms (1.5%)

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)

end80.0ms (1.4%)

Compiler: Compiled 159 to 107 computations (32.7% saved)

Iter	Nodes	Cost
0	63	226
1	82	226
2	93	226
3	105	226
4	120	226
5	145	226
6	171	226
7	196	226
8	229	226
9	245	226

Iter	Nodes	Cost
0	63	226
1	82	226
2	93	226
3	105	226
4	120	226
5	145	226
6	171	226
7	196	226
8	229	226
9	245	226

Iter	Nodes	Cost
0	63	226
1	82	226
2	93	226
3	105	226
4	120	226
5	145	226
6	171	226
7	196	226
8	229	226
9	245	226