Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample2.1s (65.9%)

Results

1.3s	6177×	body	128	valid
417.0ms	1067×	body	1024	valid
168.0ms	562×	body	512	valid
82.0ms	339×	body	256	valid
54.0ms	111×	body	2048	valid

Compiler

Compiled 44 to 32 computations (27.3% saved)

preprocess51.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-neg_binary64`
549×	`div-sub_binary64`
376×	`times-frac_binary64`
249×	`cancel-sign-sub-inv_binary64`
246×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	39	38
2	64	38
3	109	38
4	201	38
5	404	34
6	859	34
7	2060	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 beta (+.f64 alpha 2))) 2) -1/2)
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4)))
(+.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 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify27.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

434×	`cancel-sign-sub-inv_binary64`
372×	`div-sub_binary64`
343×	`sub-neg_binary64`
331×	`fma-neg_binary64`
292×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	40	19
3	67	19
4	118	19
5	238	17
6	445	17
7	753	17
8	1572	17
9	3643	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 (+.f64 2 alpha) beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.4b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
✓	1.2b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

series17.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`fma-def_binary64`
244×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
136×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	261	31
2	3763	31

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

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

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simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
643×	`fma-def_binary64`
300×	`sub-neg_binary64`
266×	`cancel-sign-sub-inv_binary64`
156×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2456
1	569	2372
2	2263	2234

Stop Event

1×	node limit

Counts

154 → 166

Calls

Call 1

Inputs
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4)))
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))) (+.f64 (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(-.f64 1/2 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 8 (/.f64 (.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4))))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
1
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
1
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(/.f64 beta (+.f64 (*.f64 2 beta) 4))
(-.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))))) (+.f64 (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(.f64 -1 (/.f64 alpha (+.f64 4 (.f64 2 alpha))))
(-.f64 (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (.f64 2 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 8 (/.f64 (.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))

Outputs
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4)))
(+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4)))
(+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4)))
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4))) (/.f64 alpha (fma.f64 2 beta 4))) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha))))
(+.f64 1/2 (-.f64 (/.f64 beta (fma.f64 beta 2 4)) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (.f64 4 (/.f64 (.f64 beta (.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))))) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))))
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (.f64 (.f64 4 beta) (.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))) (+.f64 (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (.f64 4 (/.f64 (.f64 beta (.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 4) 3)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (fma.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 beta 4) 4)) (.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))))))
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (.f64 (.f64 4 beta) (.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (+.f64 (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 (*.f64 beta 8) (/.f64 (pow.f64 (fma.f64 beta 2 4) 4) (pow.f64 alpha 3)))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta 2 4) 3)) (/.f64 alpha (fma.f64 beta 2 4))))))
(-.f64 (+.f64 (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) 1/2)) (fma.f64 4 (pow.f64 (/.f64 alpha (fma.f64 beta 2 4)) 3) (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (fma.f64 8 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)) (/.f64 alpha (fma.f64 beta 2 4))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (.f64 5 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (.f64 (.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (.f64 5 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))))))))
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(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))
(-.f64 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))))) (+.f64 (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(-.f64 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (.f64 4 (/.f64 (.f64 beta (.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 4) 3)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (fma.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 beta 4) 4)) (.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))))))
(+.f64 (/.f64 beta (fma.f64 beta 2 4)) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (.f64 (.f64 4 beta) (.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (+.f64 (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 (*.f64 beta 8) (/.f64 (pow.f64 (fma.f64 beta 2 4) 4) (pow.f64 alpha 3)))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta 2 4) 3)) (/.f64 alpha (fma.f64 beta 2 4))))))
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 4 (pow.f64 (/.f64 alpha (fma.f64 beta 2 4)) 3) (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (fma.f64 8 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)) (/.f64 alpha (fma.f64 beta 2 4))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) 1/2))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) -1/2))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))))
(+.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (.f64 alpha alpha))) (+.f64 1/2 (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
(+.f64 (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) -1/2)
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (.f64 5 (/.f64 (.f64 beta beta) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (.f64 (.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 1/2 (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -2 (.f64 alpha alpha))) (+.f64 1/2 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) 1/2))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) -1/2))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))))
(+.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (.f64 alpha alpha))) (+.f64 1/2 (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
(+.f64 (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) -1/2)
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (.f64 5 (/.f64 (.f64 beta beta) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (.f64 (.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 1/2 (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -2 (.f64 alpha alpha))) (+.f64 1/2 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
(.f64 -1 (/.f64 alpha (+.f64 4 (.f64 2 alpha))))
(neg.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(/.f64 (neg.f64 alpha) (fma.f64 2 alpha 4))
(neg.f64 (/.f64 alpha (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (.f64 2 alpha)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4)))
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (.f64 2 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (.f64 2 alpha)))) (fma.f64 2 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 alpha (.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 (.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 8 (/.f64 (.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3)) (+.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (.f64 2 alpha)))) (.f64 8 (/.f64 (.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4))))) (fma.f64 2 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 alpha (.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 3)) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (fma.f64 8 (.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 4)) alpha) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 (.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
(-.f64 (fma.f64 4 (pow.f64 (/.f64 beta (fma.f64 2 alpha 4)) 3) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 8 (/.f64 (.f64 alpha (pow.f64 beta 3)) (pow.f64 (fma.f64 2 alpha 4) 4)) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (-.f64 1/2 (/.f64 1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 1/2 (/.f64 -1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) 1/2) (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (+.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (-.f64 (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))
(+.f64 (+.f64 1/2 (+.f64 (/.f64 2 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (+.f64 (/.f64 2 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (-.f64 1/2 (/.f64 1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 1/2 (/.f64 -1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) 1/2) (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (+.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (-.f64 (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))
(+.f64 (+.f64 1/2 (+.f64 (/.f64 2 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 3 (/.f64 alpha (.f64 beta beta)) (/.f64 2 (.f64 beta beta)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (+.f64 (/.f64 2 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3))))

prune136.0ms (4.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	4	167

Error

0.0b

Counts

167 → 4

Alt Table

Status	Error	Program
▶	16.7b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
	46.0b	(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
	45.1b	(/.f64 (+.f64 beta 1) alpha)
	44.3b	(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))

Compiler

Compiled 5004 to 3266 computations (34.7% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4))
✓	16.7b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

series9.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	alpha	@	inf	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	beta	@	inf	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	beta	@	0	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	beta	@	inf	(/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4))

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
152×	`fma-neg_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	258	28
2	3190	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

344×	`cancel-sign-sub-inv_binary64`
336×	`sub-neg_binary64`
197×	`+-commutative_binary64`
186×	`fma-def_binary64`
178×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2396
1	774	2318
2	3012	2252

Stop Event

1×	node limit

Counts

94 → 106

Calls

Call 1

Inputs
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4)))
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))) (+.f64 (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(-.f64 1/2 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (+.f64 (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (.f64 2 alpha))) (.f64 8 (/.f64 (.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4))))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (.f64 2 alpha))) (.f64 4 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
1
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
1
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (.f64 3 (/.f64 alpha (pow.f64 beta 2))) (.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(/.f64 -1 (+.f64 (*.f64 2 beta) 4))
(-.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (/.f64 1 (+.f64 (*.f64 2 beta) 4)))
(-.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (+.f64 (/.f64 1 (+.f64 (.f64 2 beta) 4)) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3)))))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 alpha (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))) (+.f64 (/.f64 1 (+.f64 (.f64 2 beta) 4)) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3)))))
(/.f64 -1/2 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))) (.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (.f64 1/2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 3 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 4))) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))))))) (+.f64 (.f64 1/2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))
(/.f64 -1/2 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))) (.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (.f64 1/2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 3 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 4))) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))))))) (+.f64 (.f64 1/2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))
(/.f64 -1 (+.f64 4 (*.f64 2 alpha)))
(-.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (/.f64 1 (+.f64 4 (*.f64 2 alpha))))
(-.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (/.f64 1 (+.f64 4 (*.f64 2 alpha)))))
(-.f64 (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4)))) (+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (/.f64 1 (+.f64 4 (*.f64 2 alpha)))))
(/.f64 -1/2 beta)
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(-.f64 (+.f64 (.f64 6 (/.f64 alpha (pow.f64 beta 4))) (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4))) (.f64 4 (/.f64 1 (pow.f64 beta 4)))))))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(/.f64 -1/2 beta)
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(-.f64 (+.f64 (.f64 6 (/.f64 alpha (pow.f64 beta 4))) (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4))) (.f64 4 (/.f64 1 (pow.f64 beta 4)))))))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))

Outputs
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4)))
(+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4)))
(+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4)))
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4))) (/.f64 alpha (fma.f64 2 beta 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (fma.f64 2 beta 4) 2))))
(-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2))) (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (.f64 4 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 3) (.f64 alpha alpha)))))) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (fma.f64 2 beta 4) 2))))))
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 (.f64 2 (.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 2))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 4 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (.f64 2 beta) 4) 2)))))) (+.f64 (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (.f64 2 beta) 4)) (+.f64 (.f64 8 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (.f64 2 beta) 4) 4))) (.f64 2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (.f64 4 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 3) (.f64 alpha alpha))))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 4) 3)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (fma.f64 8 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 4) (pow.f64 alpha 3))) (.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (fma.f64 2 beta 4) 2)))))))
(-.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 beta 2 4)) (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 (.f64 2 (.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 2))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta 2 4) 3)) (/.f64 alpha (fma.f64 beta 2 4)))) (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (.f64 8 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 beta 2 4)) (fma.f64 4 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (.f64 alpha alpha)) (/.f64 (.f64 2 (.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 2))))) (fma.f64 4 (pow.f64 (/.f64 alpha (fma.f64 beta 2 4)) 3) (/.f64 alpha (fma.f64 beta 2 4)))) (fma.f64 2 (.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (.f64 8 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 2 (.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (/.f64 2 alpha) alpha) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))) (/.f64 -2 (.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (.f64 5 (.f64 beta beta)) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 5 (/.f64 (pow.f64 alpha 3) (.f64 beta beta))))) (+.f64 (/.f64 (/.f64 2 alpha) alpha) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 5 (/.f64 (pow.f64 alpha 3) (.f64 beta beta))))) (+.f64 (/.f64 (/.f64 2 alpha) alpha) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (.f64 5 (.f64 beta beta)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 2 (.f64 alpha alpha)) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))))))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 5 (/.f64 (pow.f64 alpha 3) (.f64 beta beta))))))) (+.f64 (/.f64 (/.f64 2 alpha) alpha) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4)))))))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 5 (/.f64 (pow.f64 alpha 3) (.f64 beta beta))))))) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))) (/.f64 -2 (*.f64 alpha alpha))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 2 (.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (/.f64 2 alpha) alpha) (fma.f64 3 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))) (/.f64 -2 (.f64 alpha alpha)))
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(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 4 (pow.f64 alpha 4)) (fma.f64 3 (/.f64 (.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 6 (/.f64 beta (pow.f64 alpha 4)) (/.f64 (.f64 1/2 beta) (.f64 alpha alpha))))))) (/.f64 1/2 alpha)) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 2 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 4 (pow.f64 alpha 4))) (-.f64 (fma.f64 3 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 1/2 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) 6))) (+.f64 (/.f64 1/2 alpha) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (pow.f64 alpha 3))))))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 4 (pow.f64 alpha 4))) (+.f64 (fma.f64 3 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 1/2 (/.f64 6 (.f64 alpha alpha))))) (-.f64 (/.f64 -1/2 alpha) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (pow.f64 alpha 3))))))))
(/.f64 -1/2 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))) (.f64 1/2 (/.f64 1 alpha)))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (/.f64 (.f64 1/2 beta) (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 beta (.f64 alpha alpha)) (/.f64 -1/2 alpha)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (.f64 1/2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (/.f64 (.f64 1/2 beta) (.f64 alpha alpha)) (/.f64 1/2 alpha))) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)) (/.f64 2 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (fma.f64 1/2 (/.f64 beta (.f64 alpha alpha)) (/.f64 -1/2 alpha)) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (pow.f64 alpha 3))))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 beta (.f64 alpha alpha)) (/.f64 1 (.f64 alpha alpha))) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (pow.f64 alpha 3))))) (/.f64 -1/2 alpha))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 3 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 4))) (.f64 1/2 (/.f64 beta (pow.f64 alpha 2)))))))) (+.f64 (.f64 1/2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 4 (pow.f64 alpha 4)) (fma.f64 3 (/.f64 (.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 6 (/.f64 beta (pow.f64 alpha 4)) (/.f64 (.f64 1/2 beta) (.f64 alpha alpha))))))) (/.f64 1/2 alpha)) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 2 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 4 (pow.f64 alpha 4))) (-.f64 (fma.f64 3 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 1/2 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) 6))) (+.f64 (/.f64 1/2 alpha) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (pow.f64 alpha 3))))))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 4 (pow.f64 alpha 4))) (+.f64 (fma.f64 3 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 1/2 (/.f64 6 (.f64 alpha alpha))))) (-.f64 (/.f64 -1/2 alpha) (fma.f64 2 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (pow.f64 alpha 3))))))))
(/.f64 -1 (+.f64 4 (*.f64 2 alpha)))
(/.f64 -1 (fma.f64 2 alpha 4))
(-.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (/.f64 1 (+.f64 4 (*.f64 2 alpha))))
(fma.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (neg.f64 (/.f64 1 (+.f64 4 (.f64 2 alpha)))))
(fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 2 alpha 4) 2)) (/.f64 -1 (fma.f64 2 alpha 4)))
(-.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (/.f64 1 (+.f64 4 (*.f64 2 alpha)))))
(-.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (fma.f64 4 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3)) (/.f64 1 (+.f64 4 (*.f64 2 alpha)))))
(-.f64 (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 2 alpha 4) 2)) (/.f64 -1 (fma.f64 2 alpha 4))) (*.f64 4 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) beta))))
(+.f64 (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 2 alpha 4) 2)) (*.f64 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) beta)) -4)) (/.f64 -1 (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4)))) (+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3))) (/.f64 1 (+.f64 4 (*.f64 2 alpha)))))
(-.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (.f64 2 alpha)) 4)))) (fma.f64 4 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 4 (.f64 2 alpha)) 3)) (/.f64 1 (+.f64 4 (.f64 2 alpha)))))
(-.f64 (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 2 alpha 4) 2)) (/.f64 (*.f64 8 (pow.f64 beta 3)) (pow.f64 (fma.f64 2 alpha 4) 4))) (fma.f64 4 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) beta)) (/.f64 1 (fma.f64 2 alpha 4))))
(/.f64 -1/2 beta)
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (/.f64 1/2 beta))
(+.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (/.f64 -1/2 beta))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 (/.f64 1/2 beta) (/.f64 alpha beta) (/.f64 -1/2 beta)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(-.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(+.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (-.f64 (/.f64 -1/2 beta) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))) (/.f64 -1/2 beta))
(-.f64 (+.f64 (.f64 6 (/.f64 alpha (pow.f64 beta 4))) (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4))) (.f64 4 (/.f64 1 (pow.f64 beta 4)))))))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(-.f64 (fma.f64 6 (/.f64 alpha (pow.f64 beta 4)) (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (fma.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 beta 4)) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 4 (pow.f64 beta 4))))))) (+.f64 (/.f64 1/2 beta) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 1/2 (/.f64 (.f64 alpha alpha) (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(-.f64 (fma.f64 6 (/.f64 alpha (pow.f64 beta 4)) (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 4 (pow.f64 beta 4))) (fma.f64 3 (/.f64 alpha (/.f64 (pow.f64 beta 4) alpha)) (/.f64 1 (.f64 beta beta)))))) (+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(+.f64 (fma.f64 6 (/.f64 alpha (pow.f64 beta 4)) (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 4 (pow.f64 beta 4))) (fma.f64 3 (/.f64 alpha (/.f64 (pow.f64 beta 4) alpha)) (/.f64 1 (.f64 beta beta)))))) (-.f64 (/.f64 -1/2 beta) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(/.f64 -1/2 beta)
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (/.f64 1/2 beta))
(+.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (/.f64 -1/2 beta))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 (/.f64 1/2 beta) (/.f64 alpha beta) (/.f64 -1/2 beta)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(-.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(+.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (-.f64 (/.f64 -1/2 beta) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (/.f64 1 (.f64 beta beta))) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))) (/.f64 -1/2 beta))
(-.f64 (+.f64 (.f64 6 (/.f64 alpha (pow.f64 beta 4))) (+.f64 (.f64 1/2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4))) (.f64 4 (/.f64 1 (pow.f64 beta 4)))))))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (*.f64 2 (/.f64 1 (pow.f64 beta 3)))))))
(-.f64 (fma.f64 6 (/.f64 alpha (pow.f64 beta 4)) (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (fma.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 beta 4)) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 4 (pow.f64 beta 4))))))) (+.f64 (/.f64 1/2 beta) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 1/2 (/.f64 (.f64 alpha alpha) (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(-.f64 (fma.f64 6 (/.f64 alpha (pow.f64 beta 4)) (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 4 (pow.f64 beta 4))) (fma.f64 3 (/.f64 alpha (/.f64 (pow.f64 beta 4) alpha)) (/.f64 1 (.f64 beta beta)))))) (+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))
(+.f64 (fma.f64 6 (/.f64 alpha (pow.f64 beta 4)) (fma.f64 1/2 (/.f64 alpha (.f64 beta beta)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 4 (pow.f64 beta 4))) (fma.f64 3 (/.f64 alpha (/.f64 (pow.f64 beta 4) alpha)) (/.f64 1 (.f64 beta beta)))))) (-.f64 (/.f64 -1/2 beta) (fma.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (fma.f64 2 (/.f64 alpha (pow.f64 beta 3)) (/.f64 2 (pow.f64 beta 3))))))

prune124.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

0.0b

Counts

110 → 4

Alt Table

Status	Error	Program
✓	16.7b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
	46.0b	(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
	45.1b	(/.f64 (+.f64 beta 1) alpha)
▶	44.3b	(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))

Compiler

Compiled 3322 to 2272 computations (31.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
1.0ms	alpha	@	0	(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
1.0ms	beta	@	inf	(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
0.0ms	alpha	@	inf	(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
0.0ms	alpha	@	-inf	(+.f64 (/.f64 1 beta) (/.f64 alpha beta))

rewrite45.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
77×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2336	10

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	96
1	11	96

Stop Event

1×

saturated

Counts

69 → 57

Calls

Call 1

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

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

prune28.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Error

0.0b

Counts

61 → 4

Alt Table

Status	Error	Program
✓	16.7b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
	46.0b	(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
▶	45.1b	(/.f64 (+.f64 beta 1) alpha)
✓	44.3b	(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))

Compiler

Compiled 939 to 547 computations (41.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite40.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
644×	`add-log-exp_binary64`
66×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1728	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	102
1	10	102

Stop Event

1×

saturated

Counts

44 → 35

Calls

Call 1

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

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

prune18.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	35	4	39

Error

0.0b

Counts

39 → 4

Alt Table

Status	Error	Program
✓	16.7b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
	46.0b	(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
✓	45.1b	(/.f64 (+.f64 beta 1) alpha)
✓	44.3b	(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))

Compiler

Compiled 404 to 286 computations (29.2% saved)

regimes195.0ms (6.1%)

Accuracy

Total 0.1b remaining (58.2%)

Threshold costs 0.1b (58.2%)

Counts

39 → 2

Compiler

Compiled 546 to 354 computations (35.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

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

Steps

Iters	Point		Range
-0.99	∈ [	-0.9999999946044067	,	-0.9811132528131287	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	73
1	48	73
2	66	73
3	79	73
4	92	73
5	95	73
6	96	73

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) (fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2))

Outputs

(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) (fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2))

(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4458563631096791/4503599627370496) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) (fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 beta alpha) -2 -4)) 1/2))

(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4458563631096791/4503599627370496) (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (-.f64 (/.f64 -3 alpha) (/.f64 beta alpha))))) (fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 beta alpha) -2 -4)) 1/2))

end96.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 164 to 101 computations (38.4% saved)

Details

analyze3.0ms (0.1%)

sample2.1s (65.9%)

preprocess51.0ms (1.6%)

simplify27.0ms (0.8%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series17.0ms (0.5%)

rewrite64.0ms (2%)

simplify53.0ms (1.7%)

prune136.0ms (4.3%)

localize10.0ms (0.3%)

series9.0ms (0.3%)

rewrite48.0ms (1.5%)

simplify55.0ms (1.7%)

prune124.0ms (3.9%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite45.0ms (1.4%)

simplify23.0ms (0.7%)

prune28.0ms (0.9%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite40.0ms (1.3%)

simplify8.0ms (0.2%)

prune18.0ms (0.6%)

regimes195.0ms (6.1%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end96.0ms (3%)

Profiling