Details

analyze180.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	28.1%	71.9%	0%	0%	0%	0
0%	0%	28.1%	71.9%	0%	0%	0%	1
0%	0%	28.1%	71.9%	0%	0%	0%	2
0%	0%	28.1%	71.9%	0%	0%	0%	3
12.5%	3.5%	24.6%	71.9%	0%	0%	0%	4
18.8%	5.3%	22.8%	71.9%	0%	0%	0%	5
37.5%	10.5%	17.5%	71.9%	0%	0%	0%	6
39.1%	11%	17.1%	71.9%	0%	0%	0%	7
50%	14%	14%	71.9%	0%	0%	0%	8
64.1%	18%	10.1%	71.9%	0%	0%	0%	9
66%	18.5%	9.5%	71.9%	0%	0%	0%	10
73.8%	20.7%	7.3%	71.9%	0%	0%	0%	11
81.6%	22.9%	5.2%	71.9%	0%	0%	0%	12

Compiler

Compiled 43 to 28 computations (34.9% saved)

sample1.8s (7.6%)

Results

1.3s	6976×	body	256	valid
301.0ms	729×	body	1024	valid
136.0ms	511×	body	512	valid
19.0ms	40×	body	2048	valid

Bogosity

preprocess64.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

706×	`associate-+l+_binary64`
670×	`associate-+r+_binary64`
656×	`fma-def_binary64`
353×	`*-commutative_binary64`
272×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	172
1	113	156
2	381	148
3	1818	148
4	6228	148
5	7955	148
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
812×	`distribute-rgt-in_binary64`
746×	`distribute-lft-in_binary64`
535×	`div-sub_binary64`
535×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	34	39
2	112	37
3	517	37
4	2701	37
5	4489	37
6	5870	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 166 to 92 computations (44.6% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

12.8b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
▶	13.0b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
▶	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
▶	22.6b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)

Compiler

Compiled 122 to 79 computations (35.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
✓	0.3b	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	1.5b	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
✓	18.7b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))

Compiler

Compiled 136 to 58 computations (57.4% saved)

series421.0ms (1.8%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
54.0ms	beta	@	inf	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
31.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
3.0ms	beta	@	0	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
3.0ms	i	@	0	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
3.0ms	alpha	@	0	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

Compiler

Compiled 52340 to 36985 computations (29.3% saved)

rewrite145.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`fma-neg_binary64`
329×	`log1p-udef_binary64`
328×	`expm1-udef_binary64`
192×	`add-sqr-sqrt_binary64`
188×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	109
1	361	99
2	5920	99

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-neg_binary64`
377×	`log-prod_binary64`
348×	`associate-/l*_binary64`
308×	`associate-r_binary64`
303×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	6242
1	1258	5989
2	6407	5977

Stop Event

1×	node limit

Counts

183 → 261

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))) 1)
(*.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))))
(.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 1)
(.f64 1 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(.f64 (.f64 (-.f64 beta alpha) (neg.f64 (+.f64 alpha beta))) (/.f64 1 (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (+.f64 alpha beta) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (.f64 (pow.f64 i 3) 8))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 2 i) (-.f64 (*.f64 2 i) (+.f64 alpha beta)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) 4))) (+.f64 alpha (-.f64 beta (.f64 2 i))))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 2)
(pow.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1)
(neg.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3) (pow.f64 (fma.f64 2 i (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(.f64 1 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))
(.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 1)
(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) 2) (cbrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))
(.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) (sqrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))
(.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (-.f64 1 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) -1) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (-.f64 1 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (-.f64 1 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) -1) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (-.f64 1 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) -1)) (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2)) (-.f64 1 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))
(pow.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))
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(expm1.f64 (log1p.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(exp.f64 (log.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1))
(fma.f64 beta beta (neg.f64 (*.f64 alpha alpha)))
(fma.f64 1 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))
(fma.f64 (cbrt.f64 (.f64 beta beta)) (.f64 (cbrt.f64 beta) beta) (neg.f64 (*.f64 alpha alpha)))
(fma.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) beta) (neg.f64 (.f64 alpha alpha)))
(fma.f64 (.f64 (cbrt.f64 (.f64 beta beta)) (cbrt.f64 (.f64 beta beta))) (cbrt.f64 (.f64 beta beta)) (neg.f64 (*.f64 alpha alpha)))
(fma.f64 (.f64 beta (sqrt.f64 beta)) (sqrt.f64 beta) (neg.f64 (.f64 alpha alpha)))
(fma.f64 (.f64 beta (cbrt.f64 (.f64 beta beta))) (cbrt.f64 beta) (neg.f64 (*.f64 alpha alpha)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))) 1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 1 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 2))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (.f64 (-.f64 beta alpha) (neg.f64 (+.f64 alpha beta))) (/.f64 1 (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(/.f64 (.f64 (.f64 (-.f64 beta alpha) (neg.f64 (+.f64 alpha beta))) 1) (neg.f64 (fma.f64 2 i (+.f64 alpha beta))))
(/.f64 (.f64 (-.f64 beta alpha) (-.f64 (neg.f64 beta) alpha)) (-.f64 (.f64 i -2) (+.f64 alpha beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (neg.f64 beta) alpha)) (fma.f64 i -2 (-.f64 (neg.f64 beta) alpha)))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (+.f64 alpha beta) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta))) (+.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta))) (+.f64 alpha beta)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta))) (+.f64 alpha beta)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2)) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (.f64 (pow.f64 i 3) 8))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 2 i) (-.f64 (*.f64 2 i) (+.f64 alpha beta)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (.f64 (pow.f64 i 3) 8))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 2 (.f64 i (-.f64 (*.f64 2 i) (+.f64 alpha beta))))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (fma.f64 (pow.f64 i 3) 8 (pow.f64 (+.f64 alpha beta) 3)) (fma.f64 2 (*.f64 i (fma.f64 2 i (-.f64 (neg.f64 beta) alpha))) (pow.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) 4))) (+.f64 alpha (-.f64 beta (.f64 2 i))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 i (.f64 i 4)))) (+.f64 alpha (+.f64 beta (.f64 -2 i))))
(/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (*.f64 i i) -4)))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 3) 1/3)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 3)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 2)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(pow.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(neg.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(/.f64 (.f64 (.f64 (-.f64 beta alpha) (neg.f64 (+.f64 alpha beta))) 1) (neg.f64 (fma.f64 2 i (+.f64 alpha beta))))
(/.f64 (.f64 (-.f64 beta alpha) (-.f64 (neg.f64 beta) alpha)) (-.f64 (.f64 i -2) (+.f64 alpha beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (neg.f64 beta) alpha)) (fma.f64 i -2 (-.f64 (neg.f64 beta) alpha)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2))
(fabs.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) 3))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3) (pow.f64 (fma.f64 2 i (+.f64 alpha beta)) 3)))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (fma.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) -1)) (/.f64 -1 (fma.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) -1)))
(.f64 1 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) 2))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)) 2) (cbrt.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))
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(*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
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(fma.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (+.f64 1 (.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (fma.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) -1)))))
(fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) -1) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2)) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)) (fma.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) -1)))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (+.f64 alpha beta) (-.f64 beta alpha) (.f64 0 (.f64 alpha alpha)))
(+.f64 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 beta beta) (.f64 (neg.f64 alpha) alpha))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 beta (-.f64 beta alpha)) (.f64 alpha (-.f64 beta alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 beta (+.f64 alpha beta)) (.f64 (neg.f64 alpha) (+.f64 alpha beta)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 alpha (-.f64 beta alpha)) (.f64 beta (-.f64 beta alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 (+.f64 alpha beta) beta) (.f64 (+.f64 alpha beta) (neg.f64 alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 (-.f64 beta alpha) beta) (.f64 (-.f64 beta alpha) alpha))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 (-.f64 beta alpha) alpha) (.f64 (-.f64 beta alpha) beta))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))) 1)
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (+.f64 alpha beta)) (+.f64 alpha beta))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (+.f64 alpha beta))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (-.f64 alpha beta) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 alpha beta)) (/.f64 (-.f64 alpha beta) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (+.f64 alpha beta) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 alpha beta)) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (-.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))) (-.f64 alpha beta)))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 alpha beta)) (/.f64 (-.f64 alpha beta) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (*.f64 alpha alpha)))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 beta (pow.f64 beta 3)) (.f64 (.f64 alpha alpha) (fma.f64 beta beta (.f64 alpha alpha)))))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (.f64 alpha alpha) (.f64 alpha alpha))) (+.f64 (.f64 beta beta) (.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 beta (pow.f64 beta 3)) (.f64 alpha (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha alpha)))
(/.f64 (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 alpha alpha (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (/.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))) (-.f64 beta alpha))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 beta alpha)) (-.f64 alpha beta))
(/.f64 (-.f64 beta alpha) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 alpha beta) (/.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (-.f64 beta alpha))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha beta)) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(/.f64 (+.f64 alpha beta) (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(.f64 (/.f64 (+.f64 alpha beta) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(/.f64 (+.f64 alpha beta) (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(.f64 (/.f64 (+.f64 alpha beta) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (/.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))) (-.f64 beta alpha))
(/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta))
(/.f64 (-.f64 beta alpha) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 alpha beta) (/.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (-.f64 beta alpha))
(pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 1)
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3) 1/3)
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3)
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2)
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(sqrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2))
(fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha beta)) (-.f64 beta alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(log.f64 (/.f64 (exp.f64 (.f64 beta beta)) (exp.f64 (.f64 alpha alpha))))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (-.f64 beta alpha) 3)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha beta) 3)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(expm1.f64 (log1p.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(log1p.f64 (expm1.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(exp.f64 (log.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(fma.f64 beta beta (neg.f64 (*.f64 alpha alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(fma.f64 1 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(fma.f64 (cbrt.f64 (.f64 beta beta)) (.f64 (cbrt.f64 beta) beta) (neg.f64 (*.f64 alpha alpha)))
(fma.f64 (cbrt.f64 (.f64 beta beta)) (.f64 beta (cbrt.f64 beta)) (neg.f64 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (.f64 (cbrt.f64 (.f64 beta beta)) (cbrt.f64 beta))) (.f64 alpha alpha))
(fma.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) beta) (neg.f64 (.f64 alpha alpha)))
(fma.f64 (sqrt.f64 beta) (.f64 beta (sqrt.f64 beta)) (neg.f64 (.f64 alpha alpha)))
(-.f64 (.f64 (sqrt.f64 beta) (.f64 beta (sqrt.f64 beta))) (*.f64 alpha alpha))
(fma.f64 (.f64 (cbrt.f64 (.f64 beta beta)) (cbrt.f64 (.f64 beta beta))) (cbrt.f64 (.f64 beta beta)) (neg.f64 (*.f64 alpha alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(fma.f64 (.f64 beta (sqrt.f64 beta)) (sqrt.f64 beta) (neg.f64 (.f64 alpha alpha)))
(fma.f64 (sqrt.f64 beta) (.f64 beta (sqrt.f64 beta)) (neg.f64 (.f64 alpha alpha)))
(-.f64 (.f64 (sqrt.f64 beta) (.f64 beta (sqrt.f64 beta))) (*.f64 alpha alpha))
(fma.f64 (.f64 beta (cbrt.f64 (.f64 beta beta))) (cbrt.f64 beta) (neg.f64 (*.f64 alpha alpha)))
(fma.f64 (cbrt.f64 (.f64 beta beta)) (.f64 beta (cbrt.f64 beta)) (neg.f64 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (.f64 (cbrt.f64 (.f64 beta beta)) (cbrt.f64 beta))) (.f64 alpha alpha))

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha)))
✓	0.3b	(/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))
✓	0.3b	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)))
✓	1.5b	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1)

Compiler

Compiled 150 to 78 computations (48% saved)

series369.0ms (1.5%)

Counts

4 → 0

Calls

36 calls:

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

Compiler

Compiled 55370 to 38555 computations (30.4% saved)

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

395×	`log1p-udef_binary64`
228×	`add-sqr-sqrt_binary64`
224×	`*-un-lft-identity_binary64`
224×	`pow1_binary64`
213×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	111
1	425	103
2	7285	103

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

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

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

530×	`fma-neg_binary64`
404×	`log-prod_binary64`
290×	`cube-prod_binary64`
220×	`associate-/l*_binary64`
218×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	5583
1	1035	5367
2	4759	5357

Stop Event

1×	node limit

Counts

161 → 204

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1)) (/.f64 1 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1)))
(.f64 1 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1))
(.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 1)
(.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)))
(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)))
(.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))))
(.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1) (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1)) (neg.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2)) (-.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)))
(exp.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1))
(fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (sqrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1)
(-.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 1)
(.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1))
(.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (sqrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1))
(.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 (/.f64 (+.f64 alpha beta) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))) (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))) (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 2 i 2) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 2 i 2) (-.f64 (fma.f64 2 i 2) (+.f64 alpha beta)))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 alpha (-.f64 beta (fma.f64 2 i 2))))
(pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3) 1/3)
(pow.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))) 1)
(*.f64 (+.f64 alpha (fma.f64 2 i beta)) (/.f64 1 (-.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 1)
(*.f64 1 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) (.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (neg.f64 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (+.f64 alpha beta))
(*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (-.f64 beta alpha))))
(.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1)
(neg.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (neg.f64 (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1))
(+.f64 (.f64 beta (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (.f64 (neg.f64 alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))))
(+.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) beta) (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (neg.f64 alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))) 1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))))
(.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(.f64 1 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(*.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 1 (/.f64 (neg.f64 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 2))) (/.f64 (+.f64 alpha beta) (cbrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 2))) (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 alpha beta) (neg.f64 (+.f64 alpha (fma.f64 2 i beta)))) (neg.f64 (-.f64 beta alpha)))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1) (-.f64 beta alpha))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))
(pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2)
(pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1)
(neg.f64 (/.f64 (+.f64 alpha beta) (/.f64 (neg.f64 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1))) 1)
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))) 1)
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(pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3) 1/3)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 3)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1)
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(neg.f64 (/.f64 (+.f64 alpha beta) (/.f64 (neg.f64 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) 3)))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))

localize50.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
✓	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))
✓	12.9b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)

New

Error

Program

✓

0.2b

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

✓

0.3b

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

✓

12.9b

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

Compiler

Compiled 120 to 63 computations (47.5% saved)

series358.0ms (1.5%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	inf	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)
5.0ms	alpha	@	0	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)
5.0ms	beta	@	-inf	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)
4.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
4.0ms	beta	@	0	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)

Compiler

Compiled 49060 to 34845 computations (29% saved)

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`fma-def_binary64`
424×	`fma-neg_binary64`
356×	`log1p-udef_binary64`
355×	`expm1-udef_binary64`
201×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	377	75
2	5975	75

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 beta alpha) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

648×	`unswap-sqr_binary64`
346×	`fma-def_binary64`
307×	`div-sub_binary64`
237×	`log-prod_binary64`
178×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	3547
1	748	3473
2	3303	3397

Stop Event

1×	node limit

Counts

118 → 179

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))))
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)
(+.f64 (.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))) 1)
(.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))
(.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
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(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1))

Outputs
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(+.f64 (.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 3) 1) (fma.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) (-.f64 1 (.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3)) (fma.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (-.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 3)) (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (-.f64 1 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 3)) (+.f64 (-.f64 1 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) (.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) -1))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1))
(/.f64 (fma.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) -1) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1))
(/.f64 (+.f64 -1 (.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) -1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 3)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2)
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 2))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 3))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
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(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 3)
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 2)
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))) -1)
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (neg.f64 alpha) (+.f64 beta (fma.f64 2 i 2))))
(+.f64 0 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 2))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))))))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 3))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 3) (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)) 3)))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1))
(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))

localize45.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

(/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))

0.3b

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

✓

1.6b

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

Compiler

Compiled 107 to 55 computations (48.6% saved)

series169.0ms (0.7%)

Counts

2 → 0

Calls

18 calls:

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

Compiler

Compiled 27470 to 19700 computations (28.3% saved)

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`fma-def_binary64`
430×	`fma-neg_binary64`
336×	`log1p-udef_binary64`
335×	`expm1-udef_binary64`
190×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	357	51
2	5651	51

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs

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

(/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))

Outputs

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

578×	`distribute-rgt-in_binary64`
568×	`distribute-lft-in_binary64`
417×	`associate-*l/_binary64`
364×	`unswap-sqr_binary64`
324×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1706
1	374	1666
2	1435	1660

Stop Event

1×	node limit

Counts

58 → 86

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(+.f64 (.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))
(*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3) 1) (fma.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 1 (.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1))))
(/.f64 (fma.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) -1) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1))
(pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1)
(*.f64 (+.f64 alpha beta) (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(*.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 1 (fma.f64 -1 (+.f64 alpha (fma.f64 2 i beta)) -2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (+.f64 alpha beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2))) (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (pow.f64 (fma.f64 2 i beta) 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) (fma.f64 2 i beta)) (pow.f64 (fma.f64 2 i beta) 2)))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (fma.f64 2 i beta) 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 (fma.f64 2 i beta) alpha) 2))
(pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) (+.f64 alpha beta)) -1)
(neg.f64 (/.f64 (+.f64 alpha beta) (fma.f64 -1 (+.f64 alpha (fma.f64 2 i beta)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))

Outputs
(+.f64 1 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) 1)
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) 1)
(+.f64 (.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))) 1)
(*.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
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(/.f64 (-.f64 (neg.f64 alpha) beta) (-.f64 -2 (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (+.f64 alpha beta))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2))) (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) 2))) (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(/.f64 (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))) 2)))
(/.f64 (+.f64 alpha beta) (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) 2))) (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(/.f64 (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))) 2)))
(/.f64 (+.f64 alpha beta) (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (pow.f64 (fma.f64 2 i beta) 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) (fma.f64 2 i beta)) (pow.f64 (fma.f64 2 i beta) 2)))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (pow.f64 (fma.f64 2 i beta) 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 (fma.f64 2 i beta))) (pow.f64 (fma.f64 2 i beta) 2)))
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (pow.f64 (fma.f64 2 i beta) 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) (fma.f64 2 i beta)) (pow.f64 (fma.f64 2 i beta) 2))))
(/.f64 (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha 2) (-.f64 2 (fma.f64 2 i (-.f64 beta alpha))) (pow.f64 (fma.f64 2 i beta) 2))) (+.f64 (pow.f64 (fma.f64 2 i beta) 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (fma.f64 2 i beta) 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 (fma.f64 2 i beta) alpha) 2))
(/.f64 (*.f64 (+.f64 alpha beta) (+.f64 (-.f64 (fma.f64 2 i beta) alpha) -2)) (-.f64 (pow.f64 (fma.f64 2 i beta) 2) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 alpha beta) (/.f64 (-.f64 (pow.f64 (fma.f64 2 i beta) 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(/.f64 (+.f64 -2 (fma.f64 2 i (-.f64 beta alpha))) (/.f64 (-.f64 (pow.f64 (fma.f64 2 i beta) 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha beta)))
(pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 3) 1/3)
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 3)
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2)
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) (+.f64 alpha beta)) -1)
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(neg.f64 (/.f64 (+.f64 alpha beta) (fma.f64 -1 (+.f64 alpha (fma.f64 2 i beta)) -2)))
(*.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 1 (fma.f64 -1 (+.f64 alpha (fma.f64 2 i beta)) -2)))
(/.f64 (-.f64 (neg.f64 alpha) beta) (fma.f64 -1 (+.f64 alpha (fma.f64 2 i beta)) -2))
(/.f64 (-.f64 (neg.f64 alpha) beta) (-.f64 -2 (+.f64 alpha (fma.f64 2 i beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 3))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 3)))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))

eval662.0ms (2.8%)

Compiler: Compiled 32464 to 17454 computations (46.2% saved)

prune349.0ms (1.5%)

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	772	40	812
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	773	43	816

Error

12.6b

Counts

816 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	19.3b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
✓	13.0b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
	17.6b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1) 2)
▶	13.2b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
	13.3b	(/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
	19.1b	(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
	13.0b	(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) 1) 2)
	20.7b	(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (fma.f64 2 i beta) 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 (fma.f64 2 i beta) alpha) 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
	13.0b	(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 3) 1/3) 2)
	19.3b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 3) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)) 3) 2)
	24.1b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2)) (-.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) 2)
	13.0b	(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (+.f64 1 (.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (fma.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) -1)))) 2)
	26.9b	(/.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) -1)) 2)
	24.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1))) 2)
	13.0b	(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 alpha beta)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))) -1) 1) 2)
	13.3b	(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 3) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	46.3b	(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta))) (+.f64 alpha beta))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.4b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
✓	22.6b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	27.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	23.6b	(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	38.1b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.6b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	30.7b	(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
▶	13.0b	(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
	13.0b	(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)
	13.0b	(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1) 2)
	19.3b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))) 2)
	13.2b	(/.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1) 2))) 2)
	13.2b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1))) 2)
	19.0b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 2)) 2)
▶	13.0b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))) 2)
▶	13.0b	(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
	19.1b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 3)) 2)

Compiler

Compiled 3315 to 2096 computations (36.8% saved)

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
✓	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
✓	0.9b	(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
✓	2.1b	(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))

Compiler

Compiled 165 to 85 computations (48.5% saved)

series586.0ms (2.4%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	i	@	0	(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
9.0ms	alpha	@	-inf	(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
6.0ms	alpha	@	0	(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
5.0ms	beta	@	0	(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
4.0ms	alpha	@	inf	(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))

Compiler

Compiled 86900 to 62255 computations (28.4% saved)

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`fma-def_binary64`
409×	`fma-neg_binary64`
346×	`expm1-udef_binary64`
346×	`log1p-udef_binary64`
192×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	109
1	361	109
2	5858	109

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (.f64 alpha (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (.f64 beta (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta 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(.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 1))))))

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-def_binary64`
412×	`log-prod_binary64`
403×	`associate-r_binary64`
402×	`associate-l_binary64`
344×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	5431
1	1088	5361
2	6127	5353

Stop Event

1×	node limit

Counts

168 → 266

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))) 1)
(.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1)
(.f64 1 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 2))
(log.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 1))
(+.f64 (.f64 beta (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (.f64 alpha (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(+.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (.f64 beta (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) alpha))
(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) alpha) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) beta))
(-.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1) 1)
(/.f64 (+.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 1 (/.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(/.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (.f64 (*.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 beta alpha)) (.f64 (fma.f64 beta beta (.f64 alpha (-.f64 alpha beta))) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (-.f64 beta alpha)) (.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (.f64 (fma.f64 beta beta (.f64 alpha (-.f64 alpha beta))) (.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha)))))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) 1) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (*.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))) (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2)))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (*.f64 (-.f64 beta alpha) (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2)))
(/.f64 (.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) (fma.f64 beta beta (.f64 alpha (-.f64 alpha beta)))))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (cbrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (cbrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (cbrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 i (+.f64 beta 2)) 3))) (fma.f64 (fma.f64 2 i (+.f64 beta 2)) (-.f64 (fma.f64 2 i (+.f64 beta 2)) alpha) (.f64 alpha alpha)))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 i (+.f64 beta 2)) 2))) (-.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2)
(pow.f64 (*.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha))) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 3) (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 1))

Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))) 1)
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1)
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 1 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1)
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 3)
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2)
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 2))
(fabs.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(fabs.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(log.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 1))
(log1p.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (.f64 alpha (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) (+.f64 beta alpha))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(+.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) (.f64 beta (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) (+.f64 beta alpha))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) alpha))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) (+.f64 beta alpha))
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(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (cbrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 2))) (/.f64 1 (.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (cbrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 i (+.f64 beta 2)) 3))) (fma.f64 (fma.f64 2 i (+.f64 beta 2)) (-.f64 (fma.f64 2 i (+.f64 beta 2)) alpha) (.f64 alpha alpha)))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 (fma.f64 2 i (+.f64 beta 2)) (-.f64 (fma.f64 2 i (+.f64 beta 2)) alpha) (.f64 alpha alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 i (+.f64 beta 2)) 3)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (fma.f64 2 i beta) 2) 3)) (fma.f64 (+.f64 (fma.f64 2 i beta) 2) (-.f64 (+.f64 (fma.f64 2 i beta) 2) alpha) (*.f64 alpha alpha))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (fma.f64 2 i beta) 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 (fma.f64 2 i beta) 2) (-.f64 (+.f64 (fma.f64 2 i beta) 2) alpha)))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 alpha alpha) (pow.f64 (fma.f64 2 i (+.f64 beta 2)) 2))) (-.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 i (+.f64 beta 2)) 2)) (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 (fma.f64 2 i beta) 2) 2))) (-.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 (fma.f64 2 i beta) 2) 2))) (-.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3) 1/3)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 3)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 2)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(pow.f64 (*.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha))) -1)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2)))
(/.f64 (/.f64 (-.f64 alpha beta) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 -1 (fma.f64 2 i (+.f64 beta alpha)) -2))
(/.f64 (/.f64 (-.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 (+.f64 (fma.f64 2 i alpha) beta) -1 -2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 2))
(fabs.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(fabs.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 3))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 3) (pow.f64 (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))) 3)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))))) 1))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta))
	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))
✓	0.3b	(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)))
✓	1.5b	(+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1)

Compiler

Compiled 143 to 71 computations (50.3% saved)

series565.0ms (2.4%)

Counts

3 → 0

Calls

27 calls:

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

Compiler

Compiled 50650 to 35745 computations (29.4% saved)

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

383×	`log1p-udef_binary64`
382×	`expm1-udef_binary64`
225×	`add-sqr-sqrt_binary64`
221×	`*-un-lft-identity_binary64`
221×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	420	89
2	7145	89

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 2) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)) (/.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 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simplify139.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

558×	`div-sub_binary64`
374×	`fma-neg_binary64`
204×	`log-prod_binary64`
203×	`associate-/l*_binary64`
169×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	5608
1	974	4973
2	4387	4881

Stop Event

1×	node limit

Counts

129 → 172

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 2) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)) (/.f64 1 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)))
(.f64 1 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2))
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(cbrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta))))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (log.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta))))) 1))
(+.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(+.f64 (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))) (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(+.f64 (.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1) (.f64 (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)))) 1)
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))
(/.f64 1 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (-.f64 alpha beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (neg.f64 (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (neg.f64 (+.f64 alpha (fma.f64 2 i beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (neg.f64 (.f64 beta beta)))) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 alpha beta)))
(/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 alpha alpha (neg.f64 (.f64 beta beta)))) (*.f64 (neg.f64 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 alpha beta)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 beta alpha)) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (-.f64 beta alpha)) (*.f64 (-.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(/.f64 (.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) 1) (*.f64 (-.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (neg.f64 (-.f64 beta alpha))) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (neg.f64 (-.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (neg.f64 (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3) (pow.f64 (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))) 3)) (+.f64 (.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (-.f64 (.f64 (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))) (.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))))))
(/.f64 (-.f64 (.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (.f64 (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))) (-.f64 (.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 (.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)) (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta)))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) 1) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha)) (neg.f64 (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 alpha beta))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (fma.f64 alpha alpha (neg.f64 (.f64 beta beta)))) (-.f64 alpha beta))
(/.f64 (*.f64 (+.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 3) (pow.f64 (+.f64 beta alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 1))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) alpha (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1))) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 2) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)) (/.f64 1 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) -1)) (/.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1)) (/.f64 -1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1)) (/.f64 -1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1)))
(.f64 1 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))))) (hypot.f64 1 (sqrt.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 2) (-.f64 1 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta))))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))) (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3)) (+.f64 1 (.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 3)) (+.f64 1 (.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) -1))))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) 2) -1) (/.f64 1 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 alpha (fma.f64 2 i beta)))) -1)))
(.f64 (/.f64 1 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) -1)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) -1))
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(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha)) (neg.f64 (+.f64 alpha (fma.f64 2 i beta))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 alpha beta))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (fma.f64 alpha alpha (.f64 beta (neg.f64 beta))) (-.f64 alpha beta)))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (-.f64 alpha beta)))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (-.f64 (neg.f64 alpha) (fma.f64 2 i beta)))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (fma.f64 alpha alpha (neg.f64 (.f64 beta beta)))) (-.f64 alpha beta))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (fma.f64 alpha alpha (.f64 beta (neg.f64 beta))) (-.f64 alpha beta)))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (fma.f64 alpha alpha (neg.f64 (.f64 beta beta))) (-.f64 alpha beta)))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (-.f64 (neg.f64 alpha) (fma.f64 2 i beta)))
(/.f64 (*.f64 (+.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (fma.f64 2 i beta))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 1)
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 3) 1/3)
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3)
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 2)
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 2))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 beta alpha)))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha)) 3))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 3) (pow.f64 (+.f64 beta alpha) 3)))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 3)))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 1))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) alpha (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)))
✓	0.2b	(/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))
✓	0.3b	(/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta)))
✓	2.3b	(+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1)

Compiler

Compiled 147 to 68 computations (53.7% saved)

series381.0ms (1.6%)

Counts

4 → 0

Calls

36 calls:

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

Compiler

Compiled 53340 to 38380 computations (28% saved)

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`fma-def_binary64`
431×	`fma-neg_binary64`
330×	`log1p-udef_binary64`
329×	`expm1-udef_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	97
1	372	95
2	5686	95

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))) (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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simplify147.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary64`
455×	`div-sub_binary64`
226×	`associate-/l*_binary64`
212×	`associate-l_binary64`
211×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	6218
1	1031	6153
2	4560	6141

Stop Event

1×	node limit

Counts

170 → 236

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))
(.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))
(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(.f64 (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))) (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1) (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1)) (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2)) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(exp.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1))
(fma.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 1)
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 1 1)
(fma.f64 (cbrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) (cbrt.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2)) (cbrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2)) (.f64 (cbrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha))) 2) (.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha))) 1)
(fma.f64 (sqrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) (sqrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1)
(fma.f64 (sqrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) (.f64 (sqrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1) 1)
(fma.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha))) (.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
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(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3))
(expm1.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(exp.f64 (log.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1))
(fma.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) -1)
(fma.f64 beta (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (.f64 (neg.f64 alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))
(fma.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))) -1)
(fma.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)) -1)
(fma.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) beta (.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (neg.f64 alpha)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) (/.f64 -1 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)))
(.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1))
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2))
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(.f64 (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))) (+.f64 1 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)))
(.f64 (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) -1) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))) (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))) (+.f64 1 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1)))
(.f64 (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) -1) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))) (+.f64 1 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))) (+.f64 1 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))))
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(pow.f64 (sqrt.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 2)
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(pow.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3) 1/3)
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(sqrt.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) (-.f64 beta alpha)))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(expm1.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(exp.f64 (log.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))) 1))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(fma.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) -1)
(+.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) -1)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 0)
(fma.f64 beta (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (.f64 (neg.f64 alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(fma.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 1 -1)
(+.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) -1)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 0)
(fma.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) -1)
(+.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) -1)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) -1)
(+.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) -1)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 0)
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) (sqrt.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1)) -1)
(+.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) -1)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) (-.f64 1 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (-.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)) (-.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1))))
(fma.f64 (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))) 2) -1) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) -1)) -1)
(fma.f64 (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) -1) (/.f64 1 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) -1)
(+.f64 -1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) -1) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)))
(fma.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) beta (.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (neg.f64 alpha)))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))
✓	0.3b	(/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))
✓	0.3b	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))
✓	1.4b	(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))

Compiler

Compiled 154 to 76 computations (50.6% saved)

series924.0ms (3.9%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
40.0ms	beta	@	0	(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))
15.0ms	alpha	@	-inf	(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))
5.0ms	alpha	@	0	(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))
5.0ms	alpha	@	0	(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))
4.0ms	alpha	@	inf	(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta))))))

Compiler

Compiled 130650 to 95700 computations (26.8% saved)

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`fma-def_binary64`
338×	`expm1-udef_binary64`
338×	`log1p-udef_binary64`
325×	`fma-neg_binary64`
190×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	119
1	356	118
2	5781	118

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

461×	`associate-/l/_binary64`
333×	`log-prod_binary64`
271×	`fma-neg_binary64`
203×	`cancel-sign-sub-inv_binary64`
188×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	5882
1	859	5692
2	3533	5685

Stop Event

1×	node limit

Counts

158 → 232

Calls

Call 1

Inputs
(+.f64 0 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))) 1)
(.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(.f64 1 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2))
(log.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 1))
(-.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 1)
(.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (neg.f64 (-.f64 beta alpha))) (/.f64 1 (fma.f64 -1 (+.f64 alpha (fma.f64 2 i beta)) -2)))
(.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (+.f64 alpha (fma.f64 2 i beta)) 2) 4))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)))
(pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
(pow.f64 (.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))) -1)
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(fma.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (+.f64 alpha (fma.f64 2 i beta)) 2) 4) 1)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1)

Outputs
(+.f64 0 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))) 1)
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 1 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 2))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 3) 1/3)
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 3)
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 2)
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(log.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 3))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))) 1))
(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 1)
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 0)
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 0)
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
(.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 0)
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))
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(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (*.f64 (-.f64 beta alpha) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1)
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) 1) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 alpha (fma.f64 2 i beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) 2)) 1)
(fma.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta beta (neg.f64 (.f64 alpha alpha))) (+.f64 alpha (fma.f64 2 i beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) 1)
(fma.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 (+.f64 alpha (fma.f64 2 i beta)) 2) 4) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (-.f64 (fma.f64 2 i beta) 2)) 4) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3)) (+.f64 alpha beta))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (fma.f64 2 i beta) (-.f64 alpha 2)) 4) 1)
(fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (fma.f64 2 i beta) (-.f64 alpha 2)) 4) 1)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1)
(fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1)

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)
✓	0.6b	(cbrt.f64 (-.f64 beta alpha))
✓	12.7b	(fma.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)

Compiler

Compiled 187 to 88 computations (52.9% saved)

series660.0ms (2.8%)

Counts

4 → 0

Calls

30 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	0	(fma.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)
10.0ms	beta	@	0	(fma.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)
4.0ms	beta	@	inf	(fma.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)
4.0ms	beta	@	0	(pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)
3.0ms	i	@	0	(fma.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1)

Compiler

Compiled 52895 to 41125 computations (22.3% saved)

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`fma-def_binary64`
376×	`log1p-udef_binary64`
375×	`expm1-udef_binary64`
346×	`fma-neg_binary64`
219×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	431	65
2	6204	65

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

740×	`times-frac_binary64`
508×	`associate-/l*_binary64`
389×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`
356×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	211	1909
1	428	1899
2	1716	1899

Stop Event

1×	node limit

Counts

94 → 115

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 3) 1) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) (-.f64 1 (.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 1))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) -1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 beta alpha)))) 1)
(*.f64 (cbrt.f64 (-.f64 beta alpha)) 1)
(*.f64 1 (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 beta alpha))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 beta alpha))) 1))
(*.f64 (pow.f64 (-.f64 beta alpha) 1/6) (pow.f64 (-.f64 beta alpha) 1/6))
(.f64 (pow.f64 (-.f64 beta alpha) 1/6) (.f64 (pow.f64 (-.f64 beta alpha) 1/6) 1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 1/3) (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (cbrt.f64 (+.f64 alpha beta)))
(pow.f64 (-.f64 beta alpha) 1/3)
(pow.f64 (cbrt.f64 (-.f64 beta alpha)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 beta alpha))) 3)
(pow.f64 (pow.f64 (-.f64 beta alpha) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))
(fabs.f64 (cbrt.f64 (-.f64 beta alpha)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 beta alpha)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 beta alpha))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 beta alpha))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 beta alpha)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 beta alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) 1)
(*.f64 (cbrt.f64 (-.f64 beta alpha)) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(.f64 (pow.f64 (-.f64 beta alpha) 1/6) (.f64 (pow.f64 (-.f64 beta alpha) 1/6) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) 1/6))
(.f64 (.f64 (cbrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(cbrt.f64 (pow.f64 (-.f64 beta alpha) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)))) 1)
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))
(/.f64 1 (/.f64 (+.f64 (fma.f64 2 i alpha) beta) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (+.f64 (fma.f64 2 i alpha) beta) (cbrt.f64 (cbrt.f64 (-.f64 beta alpha)))))
(/.f64 (pow.f64 (-.f64 beta alpha) 1/6) (/.f64 (+.f64 (fma.f64 2 i alpha) beta) (pow.f64 (-.f64 beta alpha) 1/6)))
(/.f64 (neg.f64 (cbrt.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 (fma.f64 2 i alpha) beta)))
(/.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) beta))) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) beta)))
(/.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) 1) (+.f64 (fma.f64 2 i alpha) beta))
(/.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i alpha) beta)) 2)) (cbrt.f64 (+.f64 (fma.f64 2 i alpha) beta)))
(/.f64 (*.f64 -1 (cbrt.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 (fma.f64 2 i alpha) beta)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 beta alpha)) -1) (neg.f64 (+.f64 (fma.f64 2 i alpha) beta)))
(pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 1)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 3))
(cbrt.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 (fma.f64 2 i alpha) beta) 3)))
(cbrt.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 1 (+.f64 (fma.f64 2 i alpha) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 2 i alpha) beta)) 3) (-.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))) 1))

Outputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 3) 1) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) (-.f64 1 (.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))))) 3)) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))))) (-.f64 1 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))))))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 beta alpha)) -1) (neg.f64 (+.f64 (fma.f64 2 i alpha) beta)))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 1)
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 3) 1/3)
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))) 3)
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))) 2)
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 2))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta)) 3))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 (fma.f64 2 i alpha) beta) 3)))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 1 (+.f64 (fma.f64 2 i alpha) beta)) 3)))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 2 i alpha) beta)) 3) (-.f64 beta alpha)))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) beta))) 1))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))

eval917.0ms (3.8%)

Compiler: Compiled 45330 to 24893 computations (45.1% saved)

prune516.0ms (2.2%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1100	33	1133
Fresh	20	15	35
Picked	1	0	1
Done	0	7	7
Total	1121	55	1176

Error

12.5b

Counts

1176 → 55

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.7b	(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
	13.2b	(/.f64 (fma.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) -1/2) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) -1/2) (.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha))) 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) 1) 2)
	21.0b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1) 2)
	13.2b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 2)
	34.2b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (-.f64 (fma.f64 2 i beta) 2)) 4) 1) 2)
	19.1b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1) 2)
	17.6b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1) 2)
	19.1b	(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1) 2)
	30.9b	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1) 2)
	22.7b	(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1) 2)
	19.2b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
	19.2b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
✓	13.0b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
	19.1b	(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
	13.0b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1) 2)
	13.0b	(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 3) 1/3) 2)
	13.3b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 3) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)) 3) 2)
▶	13.2b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
	23.1b	(/.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) -1)) 2)
	24.1b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
	26.9b	(/.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) -1)) 2)
	24.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1))) 2)
	13.3b	(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	46.3b	(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.4b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
✓	22.6b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	27.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	23.6b	(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	38.1b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.6b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
▶	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	30.7b	(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)))) 1) 2)
	13.2b	(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	13.0b	(/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) -2) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	13.0b	(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta alpha)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
▶	12.8b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)) 2)
✓	13.0b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))) 2)
	13.0b	(/.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) 2)
✓	13.0b	(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
	19.1b	(/.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1))) 2)
	19.1b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 3)) 2)
	13.0b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3)) 2)

Compiler

Compiled 4010 to 2588 computations (35.5% saved)

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)
✓	0.2b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))
✓	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta))
✓	12.9b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)

Compiler

Compiled 175 to 94 computations (46.3% saved)

series591.0ms (2.5%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
37.0ms	alpha	@	inf	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))
18.0ms	i	@	0	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)
5.0ms	i	@	0	(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)
4.0ms	alpha	@	0	(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)
4.0ms	alpha	@	-inf	(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)

Compiler

Compiled 92490 to 66785 computations (27.8% saved)

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`fma-def_binary64`
445×	`fma-neg_binary64`
370×	`log1p-udef_binary64`
369×	`expm1-udef_binary64`
211×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	402	112
2	6198	112

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
287×	`exp-prod_binary64`
263×	`cube-prod_binary64`
252×	`div-sub_binary64`
240×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	4461
1	763	4370
2	3572	4332

Stop Event

1×	node limit

Counts

141 → 208

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 3) 1) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (-.f64 1 (.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) -1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2))
(fabs.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) 1))
(+.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(-.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (fma.f64 beta (-.f64 beta (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))
(.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (.f64 beta beta))) (fma.f64 2 i (-.f64 alpha beta)))
(pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2)
(pow.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))
(fma.f64 beta (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 1 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta)))) (cbrt.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))))) (cbrt.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (sqrt.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (fma.f64 beta (-.f64 beta (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (/.f64 beta (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 beta beta))) (fma.f64 2 i (-.f64 alpha beta)) (neg.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) 1)
(-.f64 (/.f64 beta (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (/.f64 alpha (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(-.f64 (/.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (/.f64 (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))
(.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(.f64 (-.f64 beta alpha) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 1 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 1 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (neg.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (cbrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
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(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 2)
(pow.f64 (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (neg.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 3) (pow.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1))
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(+.f64 (.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2))) 1)
(*.f64 1 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(*.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 4)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2) (.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
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(.f64 (.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2)))
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(exp.f64 (.f64 2 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))) 1))
(fma.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))

Outputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
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(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
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(log.f64 (exp.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2)))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2))))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2) 3))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2)))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 2)))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)
(exp.f64 (.f64 2 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(pow.f64 (exp.f64 2) (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))))))) 2)
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))) 1))
(pow.f64 (exp.f64 2) (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))))))) 2)
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(fma.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)
(fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))
✓	0.2b	(/.f64 1 (fma.f64 2 i (+.f64 alpha beta)))
✓	0.3b	(/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	2.3b	(+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

Compiler

Compiled 159 to 76 computations (52.2% saved)

series563.0ms (2.4%)

Counts

4 → 0

Calls

36 calls:

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

Compiler

Compiled 52560 to 37470 computations (28.7% saved)

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`fma-neg_binary64`
342×	`log1p-udef_binary64`
341×	`expm1-udef_binary64`
203×	`add-sqr-sqrt_binary64`
198×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	94
1	409	94
2	6167	94

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

412×	`fma-neg_binary64`
386×	`div-sub_binary64`
232×	`associate-r_binary64`
225×	`log-prod_binary64`
216×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	5725
1	1046	5376
2	4623	5247

Stop Event

1×	node limit

Counts

160 → 203

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)))
(.f64 1 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) 2) (cbrt.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))))
(.f64 (hypot.f64 1 (sqrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (hypot.f64 1 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))))
(.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) -1) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) -1)))
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(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 3)
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(pow.f64 (/.f64 (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 beta alpha))) (-.f64 beta alpha)) -1)
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(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 1))
(fma.f64 1 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) -1)
(fma.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) 2) (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (hypot.f64 1 (sqrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))) -1)
(fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) -1) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))))
(*.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(*.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2) (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -1) (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (.f64 (pow.f64 i 3) 8))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 2 i) (-.f64 (*.f64 2 i) (+.f64 beta alpha)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i)))
(pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1)
(pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha)))) 1))
(+.f64 (.f64 beta (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 alpha (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(+.f64 (.f64 alpha (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 beta (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) beta) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) alpha))
(+.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) alpha) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))))
(/.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 beta alpha)) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) 1) (.f64 (-.f64 alpha beta) (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) -1) (.f64 (-.f64 alpha beta) (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 (.f64 -1 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (.f64 -1 (-.f64 (.f64 alpha alpha) (.f64 beta beta))) (.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (/.f64 (+.f64 beta alpha) 1) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (*.f64 beta beta)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 alpha beta))
(/.f64 (*.f64 -1 (+.f64 beta alpha)) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) -1) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3) (pow.f64 (+.f64 beta alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 1))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))) 1)
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)) (/.f64 -1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha)))) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) -1)) (/.f64 -1 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) -1)))
(.f64 1 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) 1)
(.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) 2))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) 2) (cbrt.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) 1)
(.f64 (hypot.f64 1 (sqrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))) (hypot.f64 1 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) 1)
(.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) (-.f64 1 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))))
(.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2) 1) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (+.f64 1 (.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) -1))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (-.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha))) -1) (pow.f64 (.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (fma.f64 2 i (+.f64 beta alpha)))) 2)))
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(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))))))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))) -1))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha)))) 1))
(/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))
(+.f64 (.f64 beta (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 alpha (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(+.f64 (.f64 alpha (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 beta (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(+.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) beta) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) alpha))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(+.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) alpha) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) beta))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 alpha beta)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (neg.f64 (+.f64 beta alpha)) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) 1) (.f64 (-.f64 alpha beta) (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) -1) (.f64 (-.f64 alpha beta) (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (.f64 -1 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 -1 (-.f64 (.f64 alpha alpha) (.f64 beta beta))) (.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 alpha beta)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta alpha) 1) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (*.f64 beta beta)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 alpha beta))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (*.f64 -1 (+.f64 beta alpha)) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 beta alpha) -1) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 1)
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 3) 1/3)
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 3)
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 2)
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 2))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) 3))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) 3)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3) (pow.f64 (+.f64 beta alpha) 3)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) 1))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))

localize100.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.3b	(-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3))
✓	11.8b	(.f64 (.f64 beta beta) (*.f64 alpha alpha))
✓	18.7b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
✓	46.5b	(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (*.f64 alpha alpha)))))

Compiler

Compiled 360 to 103 computations (71.4% saved)

series311.0ms (1.3%)

Counts

4 → 0

Calls

27 calls:

Time	Variable		Point	Expression
44.0ms	alpha	@	0	(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (*.f64 alpha alpha)))))
6.0ms	i	@	inf	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
2.0ms	i	@	0	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	i	@	-inf	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	beta	@	0	(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (*.f64 alpha alpha)))))

Compiler

Compiled 17960 to 13910 computations (22.6% saved)

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`add-sqr-sqrt_binary64`
259×	`pow1_binary64`
257×	`*-un-lft-identity_binary64`
246×	`add-log-exp_binary64`
246×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	124
1	519	47

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta beta) (.f64 (neg.f64 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta beta) (.f64 -1 (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta beta) (.f64 (neg.f64 (.f64 alpha (cbrt.f64 alpha))) (cbrt.f64 (.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha alpha))) (.f64 alpha (cbrt.f64 alpha)) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (neg.f64 (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 beta alpha) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 beta alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 beta alpha) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 beta alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 beta alpha) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (neg.f64 (pow.f64 alpha 4)) (.f64 alpha alpha) (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (neg.f64 (.f64 alpha alpha)) (pow.f64 alpha 4) (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 alpha 3) (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 beta beta) (pow.f64 beta 4) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (.f64 (pow.f64 alpha 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 beta 4) (.f64 beta beta) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (.f64 (pow.f64 alpha 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 beta 6) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (.f64 (pow.f64 alpha 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 beta 3) (pow.f64 beta 3) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (.f64 (pow.f64 alpha 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 beta 6) 1) (.f64 (neg.f64 (pow.f64 alpha 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))) (neg.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6))) (neg.f64 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (neg.f64 (pow.f64 alpha 6)) 3)) (+.f64 (pow.f64 (.f64 beta beta) 6) (-.f64 (.f64 (neg.f64 (pow.f64 alpha 6)) (neg.f64 (pow.f64 alpha 6))) (.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (neg.f64 (pow.f64 alpha 6)) (neg.f64 (pow.f64 alpha 6)))) (-.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 3)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (pow.f64 (.f64 beta beta) 4) (.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (-.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (pow.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 beta beta) 4) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 2)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (-.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 beta beta) (pow.f64 beta 4) (neg.f64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 beta 4) (.f64 beta beta) (neg.f64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 beta 3) (pow.f64 beta 3) (neg.f64 (pow.f64 alpha 6)))))))

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

524×	`div-sub_binary64`
356×	`associate-/l*_binary64`
325×	`fma-neg_binary64`
312×	`associate-r_binary64`
300×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	4281
1	1097	3692
2	5441	3689

Stop Event

1×	node limit

Counts

157 → 205

Calls

Call 1

Inputs
(+.f64 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))
(+.f64 (.f64 beta beta) (.f64 (neg.f64 alpha) alpha))
(+.f64 (.f64 beta beta) (.f64 -1 (*.f64 alpha alpha)))
(+.f64 (.f64 beta beta) (.f64 (neg.f64 (.f64 alpha (cbrt.f64 alpha))) (cbrt.f64 (.f64 alpha alpha))))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha alpha))) (.f64 alpha (cbrt.f64 alpha)) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (neg.f64 (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(+.f64 (fma.f64 beta beta (neg.f64 (.f64 (.f64 alpha alpha) 1))) (fma.f64 (neg.f64 (.f64 alpha alpha)) 1 (.f64 (*.f64 alpha alpha) 1)))
(+.f64 (fma.f64 1 (.f64 beta beta) (neg.f64 (.f64 (.f64 alpha alpha) 1))) (fma.f64 (neg.f64 (.f64 alpha alpha)) 1 (.f64 (.f64 alpha alpha) 1)))
(+.f64 (fma.f64 (.f64 beta (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (.f64 (.f64 alpha alpha) 1))) (fma.f64 (neg.f64 (.f64 alpha alpha)) 1 (.f64 (.f64 alpha alpha) 1)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(-.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))) 1)
(.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(*.f64 (+.f64 beta alpha) (-.f64 beta alpha))
(.f64 1 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (/.f64 1 (neg.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))) (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(.f64 (/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) 1) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) 2)) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) 2)) (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha)))) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (*.f64 beta alpha)))))
(.f64 (/.f64 1 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha)))) (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (*.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (*.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 3))) (+.f64 (pow.f64 (.f64 beta beta) 4) (.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (-.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (*.f64 beta alpha) 2)) (pow.f64 beta 4)))))
(.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (-.f64 (pow.f64 (.f64 beta beta) 4) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 2))) (-.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2))))
(pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2)
(pow.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (neg.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 beta) beta) (pow.f64 (exp.f64 alpha) alpha)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3) (pow.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(exp.f64 (log.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1))
(fma.f64 beta beta (neg.f64 (*.f64 alpha alpha)))
(fma.f64 1 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))
(fma.f64 (.f64 beta (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(-.f64 (/.f64 (pow.f64 beta 6) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))) (/.f64 (pow.f64 alpha 6) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(-.f64 (/.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (.f64 (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))))
(.f64 1 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (neg.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(.f64 (/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
(.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 1) (/.f64 (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)) (/.f64 (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) (.f64 (pow.f64 i 3) 8))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 2 i) (-.f64 (*.f64 2 i) (+.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i)))
(pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2)
(pow.f64 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1)
(neg.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (neg.f64 (fma.f64 2 i (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3) (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 beta alpha) 2))) 1)
(pow.f64 (pow.f64 (*.f64 beta alpha) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 beta alpha) 2)) 3)
(pow.f64 (*.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 1/3)
(pow.f64 (*.f64 beta alpha) 2)
(sqrt.f64 (*.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))
(log.f64 (exp.f64 (pow.f64 (*.f64 beta alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 beta alpha) 2))))
(cbrt.f64 (*.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 beta alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 beta alpha) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 beta alpha) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 beta alpha) 2)) 1))
(+.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6)))
(+.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (neg.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha) (pow.f64 alpha 6)))
(+.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (neg.f64 (*.f64 alpha alpha)) (pow.f64 alpha 4) (pow.f64 alpha 6)))
(+.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 alpha 3) (pow.f64 alpha 6)))
(+.f64 (fma.f64 (.f64 beta beta) (pow.f64 beta 4) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (*.f64 (pow.f64 alpha 6) 1)))
(+.f64 (fma.f64 (pow.f64 beta 4) (.f64 beta beta) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (*.f64 (pow.f64 alpha 6) 1)))
(+.f64 (fma.f64 1 (pow.f64 beta 6) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (.f64 (pow.f64 alpha 6) 1)))
(+.f64 (fma.f64 (pow.f64 beta 3) (pow.f64 beta 3) (neg.f64 (.f64 (pow.f64 alpha 6) 1))) (fma.f64 (neg.f64 (pow.f64 alpha 6)) 1 (.f64 (pow.f64 alpha 6) 1)))
(+.f64 (.f64 (pow.f64 beta 6) 1) (.f64 (neg.f64 (pow.f64 alpha 6)) 1))
(.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 1 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(.f64 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha))) (.f64 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (/.f64 1 (+.f64 (pow.f64 (.f64 beta beta) 6) (*.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6))))))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (*.f64 alpha alpha) 6)) (/.f64 1 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6)))) (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6)))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))) (neg.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6))) (neg.f64 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (+.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (neg.f64 (pow.f64 alpha 6)) 3)) (+.f64 (pow.f64 (.f64 beta beta) 6) (-.f64 (.f64 (neg.f64 (pow.f64 alpha 6)) (neg.f64 (pow.f64 alpha 6))) (.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6))))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (neg.f64 (pow.f64 alpha 6)) (neg.f64 (pow.f64 alpha 6)))) (-.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 3)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (pow.f64 (.f64 beta beta) 4) (.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (-.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (*.f64 beta alpha) 2)) (pow.f64 beta 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 beta beta) 4) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 2)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (-.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2))))
(pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 1)
(pow.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(exp.f64 (log.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 1))
(fma.f64 (*.f64 beta beta) (pow.f64 beta 4) (neg.f64 (pow.f64 alpha 6)))
(fma.f64 (pow.f64 beta 4) (*.f64 beta beta) (neg.f64 (pow.f64 alpha 6)))
(fma.f64 1 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6)))
(fma.f64 (pow.f64 beta 3) (pow.f64 beta 3) (neg.f64 (pow.f64 alpha 6)))

Outputs
(+.f64 (.f64 beta beta) (neg.f64 (.f64 alpha alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 beta beta) (.f64 (neg.f64 alpha) alpha))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 beta beta) (.f64 -1 (*.f64 alpha alpha)))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(+.f64 (.f64 beta beta) (.f64 (neg.f64 (.f64 alpha (cbrt.f64 alpha))) (cbrt.f64 (.f64 alpha alpha))))
(fma.f64 beta beta (.f64 (.f64 alpha (neg.f64 (cbrt.f64 alpha))) (cbrt.f64 (*.f64 alpha alpha))))
(-.f64 (.f64 beta beta) (.f64 (.f64 alpha (cbrt.f64 alpha)) (cbrt.f64 (.f64 alpha alpha))))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (+.f64 beta alpha) (-.f64 beta alpha) (.f64 (.f64 alpha alpha) 0))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha alpha))) (.f64 alpha (cbrt.f64 alpha)) (*.f64 alpha alpha)))
(fma.f64 (+.f64 beta alpha) (-.f64 beta alpha) (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha alpha))) (.f64 alpha (cbrt.f64 alpha)) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (neg.f64 (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))))
(-.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))
(+.f64 (fma.f64 beta beta (neg.f64 (.f64 (.f64 alpha alpha) 1))) (fma.f64 (neg.f64 (.f64 alpha alpha)) 1 (.f64 (*.f64 alpha alpha) 1)))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (+.f64 beta alpha) (-.f64 beta alpha) (.f64 (.f64 alpha alpha) 0))
(+.f64 (fma.f64 1 (.f64 beta beta) (neg.f64 (.f64 (.f64 alpha alpha) 1))) (fma.f64 (neg.f64 (.f64 alpha alpha)) 1 (.f64 (.f64 alpha alpha) 1)))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (+.f64 beta alpha) (-.f64 beta alpha) (.f64 (.f64 alpha alpha) 0))
(+.f64 (fma.f64 (.f64 beta (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (.f64 (.f64 alpha alpha) 1))) (fma.f64 (neg.f64 (.f64 alpha alpha)) 1 (.f64 (.f64 alpha alpha) 1)))
(+.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (+.f64 beta alpha) (-.f64 beta alpha) (.f64 (.f64 alpha alpha) 0))
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(-.f64 (/.f64 (pow.f64 beta 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 6) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))) 1)
(-.f64 (.f64 beta beta) (.f64 alpha alpha))
(.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (/.f64 1 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4))))
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(+.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (*.f64 (pow.f64 alpha 6) 0))
(+.f64 (.f64 (pow.f64 beta 6) 1) (.f64 (neg.f64 (pow.f64 alpha 6)) 1))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4)))
(*.f64 1 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2) (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (.f64 beta beta)) (pow.f64 beta 4))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta 4)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(.f64 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha))) (.f64 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(.f64 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha))) (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha)))))
(.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha))) (hypot.f64 (.f64 beta beta) (hypot.f64 (.f64 alpha alpha) (.f64 beta alpha)))))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (/.f64 1 (+.f64 (pow.f64 (.f64 beta beta) 6) (*.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))) (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (fma.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (pow.f64 (*.f64 beta beta) 6)))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (*.f64 alpha alpha) 6)) (/.f64 1 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 6) (pow.f64 alpha 12)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6)))) (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))) (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (fma.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (pow.f64 (*.f64 beta beta) 6)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6))))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (*.f64 alpha alpha) 6)) (/.f64 1 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 6) (pow.f64 alpha 12)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))) (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (fma.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (pow.f64 (*.f64 beta beta) 6)))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (*.f64 alpha alpha) 6)) (/.f64 1 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 6) (pow.f64 alpha 12)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))) (neg.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 alpha 6) (pow.f64 beta 6))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9))) (neg.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (.f64 alpha alpha) 9)) (fma.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (pow.f64 (.f64 beta beta) 6))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (.f64 alpha alpha) 6))) (neg.f64 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 alpha 12)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (fma.f64 -1 (pow.f64 (*.f64 beta beta) 6) (pow.f64 alpha 12)) (-.f64 (neg.f64 (pow.f64 alpha 6)) (pow.f64 beta 6)))
(/.f64 (+.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (neg.f64 (pow.f64 alpha 6)) 3)) (+.f64 (pow.f64 (.f64 beta beta) 6) (-.f64 (.f64 (neg.f64 (pow.f64 alpha 6)) (neg.f64 (pow.f64 alpha 6))) (.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (neg.f64 (pow.f64 alpha 6)) 3)) (+.f64 (pow.f64 (.f64 beta beta) 6) (*.f64 (neg.f64 (pow.f64 alpha 6)) (-.f64 (neg.f64 (pow.f64 alpha 6)) (pow.f64 beta 6)))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 9) (pow.f64 (pow.f64 alpha 6) 3)) (fma.f64 (pow.f64 alpha 6) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (pow.f64 (.f64 beta beta) 6)))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (.f64 (neg.f64 (pow.f64 alpha 6)) (neg.f64 (pow.f64 alpha 6)))) (-.f64 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6))))
(.f64 (-.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (*.f64 alpha alpha) 6)) (/.f64 1 (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 6) (pow.f64 alpha 12)) (+.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 3)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (pow.f64 (.f64 beta beta) 4) (.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (-.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (*.f64 beta alpha) 2)) (pow.f64 beta 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 3)) (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 4) (.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (+.f64 (pow.f64 alpha 4) (-.f64 (pow.f64 (.f64 beta alpha) 2) (pow.f64 beta 4))))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 beta beta) 6) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 3)) (fma.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) (+.f64 (pow.f64 alpha 4) (-.f64 (pow.f64 (.f64 beta alpha) 2) (pow.f64 beta 4))) (pow.f64 (.f64 beta beta) 4))) (-.f64 (.f64 beta beta) (.f64 alpha alpha)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 beta beta) 4) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 2)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (-.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 beta beta) 4) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 2)) (/.f64 (-.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 4) (pow.f64 (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)) 2)) (-.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)))) (-.f64 (.f64 beta beta) (.f64 alpha alpha)))
(pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 1)
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(pow.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3) 1/3)
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 3)
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 2)
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 2))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(log.f64 (exp.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) 3))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(exp.f64 (log.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) 1))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(fma.f64 (*.f64 beta beta) (pow.f64 beta 4) (neg.f64 (pow.f64 alpha 6)))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(fma.f64 (pow.f64 beta 4) (*.f64 beta beta) (neg.f64 (pow.f64 alpha 6)))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(fma.f64 1 (pow.f64 beta 6) (neg.f64 (pow.f64 alpha 6)))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))
(fma.f64 (pow.f64 beta 3) (pow.f64 beta 3) (neg.f64 (pow.f64 alpha 6)))
(-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))
✓	0.3b	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))
✓	0.4b	(pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
✓	1.4b	(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))

Compiler

Compiled 160 to 79 computations (50.6% saved)

series827.0ms (3.4%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
14.0ms	i	@	0	(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))
7.0ms	alpha	@	-inf	(pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
7.0ms	beta	@	0	(pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
6.0ms	alpha	@	0	(pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))
4.0ms	i	@	0	(pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))

Compiler

Compiled 125930 to 92890 computations (26.2% saved)

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`fma-neg_binary64`
382×	`expm1-udef_binary64`
382×	`log1p-udef_binary64`
218×	`add-sqr-sqrt_binary64`
218×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	107
1	412	104
2	6619	104

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))

(pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))))

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

Outputs

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(fma.f64 2 i beta) 2)))))) -1)))))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-/l*_binary64`
517×	`times-frac_binary64`
331×	`unswap-sqr_binary64`
264×	`associate-/l/_binary64`
215×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	4180
1	603	4019
2	2532	4017

Stop Event

1×	node limit

Counts

93 → 146

Calls

Call 1

Inputs
(+.f64 (.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1/2) (.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1/2))
(+.f64 0 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))) 1)
(.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1)
(.f64 1 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 2))
(log.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 1))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))) 1)
(.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 1)
(.f64 1 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))
(.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)))
(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)))
(.f64 (pow.f64 1 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2) (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2)) (-.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2))
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(*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
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(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))
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(.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (sqrt.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 3)
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(fma.f64 1 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) -1)
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Outputs
(+.f64 (.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1/2) (.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1/2))
(log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(log1p.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))
(+.f64 0 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(log1p.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(log1p.f64 (/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 2))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 3))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3) (pow.f64 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)) 3)))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))))) 1))
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(fma.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 1 -1)
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(fma.f64 1 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) -1)
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1)) -1)
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(fma.f64 (pow.f64 1 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) -1)
(+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 0)
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) -1)
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) -1)
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 2 (log1p.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))) -1)
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 2 (log1p.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta)))))) -1)
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 2 (log1p.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) -1)

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))
✓	0.3b	(pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2)
✓	12.8b	(fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1)
✓	20.6b	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))))

Compiler

Compiled 177 to 89 computations (49.7% saved)

series931.0ms (3.9%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	0	(fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1)
9.0ms	i	@	0	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))))
6.0ms	beta	@	0	(fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1)
6.0ms	beta	@	-inf	(fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1)
6.0ms	beta	@	inf	(fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1)

Compiler

Compiled 115630 to 84785 computations (26.7% saved)

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

425×	`fma-neg_binary64`
385×	`log1p-udef_binary64`
384×	`expm1-udef_binary64`
225×	`add-sqr-sqrt_binary64`
218×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	114
1	435	114
2	6644	114

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

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

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

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

446×	`fma-def_binary64`
299×	`cube-prod_binary64`
262×	`log-prod_binary64`
225×	`distribute-rgt-neg-in_binary64`
203×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4394
1	751	4372
2	3362	4342

Stop Event

1×	node limit

Counts

122 → 151

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))) 1)
(-.f64 (/.f64 beta (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) (/.f64 alpha (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(.f64 (.f64 (+.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 1 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (-.f64 (.f64 beta beta) (.f64 alpha alpha)))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 beta alpha))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (+.f64 beta alpha) 1) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (sqrt.f64 (+.f64 beta (-.f64 alpha (fma.f64 2 i 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i 2) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 2 i 2) (-.f64 (fma.f64 2 i 2) (+.f64 beta alpha))))))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3/2))
(hypot.f64 (sqrt.f64 (fma.f64 2 i 2)) (sqrt.f64 (+.f64 beta alpha)))
(hypot.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (fma.f64 2 i 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))) 1)
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(-.f64 (/.f64 beta (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) (/.f64 alpha (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (.f64 (+.f64 beta alpha) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (+.f64 beta alpha) (.f64 (-.f64 beta alpha) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) 1)
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) 2))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (.f64 (+.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(/.f64 (.f64 (+.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (neg.f64 (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (/.f64 (fma.f64 -1 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 1 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (-.f64 (.f64 beta beta) (.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 beta alpha))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (+.f64 beta alpha) 1) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
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(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)
(exp.f64 (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)) 1))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1)
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(*.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 1/4) (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 1/4))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (sqrt.f64 (+.f64 beta (-.f64 alpha (fma.f64 2 i 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i 2) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 2 i 2) (-.f64 (fma.f64 2 i 2) (+.f64 beta alpha))))))
(/.f64 (hypot.f64 (pow.f64 (fma.f64 2 i 2) 3/2) (pow.f64 (+.f64 beta alpha) 3/2)) (sqrt.f64 (fma.f64 (fma.f64 2 i 2) (-.f64 (fma.f64 2 i 2) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 2))))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 1/2)
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 1/4) 2)
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(fabs.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3/2))
(hypot.f64 (sqrt.f64 (fma.f64 2 i 2)) (sqrt.f64 (+.f64 beta alpha)))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(hypot.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (fma.f64 2 i 2)))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1/2))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))
(sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))

eval617.0ms (2.6%)

Compiler: Compiled 43179 to 23244 computations (46.2% saved)

prune370.0ms (1.5%)

Pruning

70 alts after pruning (59 fresh and 11 done)

	Pruned	Kept	Total
New	935	22	957
Fresh	6	37	43
Picked	1	0	1
Done	0	11	11
Total	942	70	1012

Error

12.5b

Counts

1012 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	13.0b	(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta alpha)) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha))) -1) 1) 2)
	13.2b	(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) 1) 2)
▶	21.0b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1) 2)
	13.2b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 2)
	34.2b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (-.f64 (fma.f64 2 i beta) 2)) 4) 1) 2)
▶	19.1b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1) 2)
	17.6b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1) 2)
	19.1b	(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1) 2)
	30.9b	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1) 2)
	22.7b	(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1) 2)
	19.2b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
	19.2b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
✓	13.0b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
	19.1b	(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
	22.7b	(/.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
	13.0b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1) 2)
	13.0b	(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 3) 1/3) 2)
	13.3b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 2) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)) 3) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)) 3) 2)
✓	13.2b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
	13.1b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
	13.1b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) 2)
	23.1b	(/.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) -1)) 2)
	24.1b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
	26.9b	(/.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 2) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) -1)) 2)
	24.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) -1) (+.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) -1))) 2)
	13.3b	(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	46.3b	(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	46.3b	(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.4b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
✓	22.6b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	27.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	23.6b	(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	38.1b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
▶	22.7b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.6b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	30.8b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2) 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	13.2b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) 3))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	22.1b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.5b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)))) 1) 2)
	13.2b	(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	13.0b	(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta alpha)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
	12.8b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2) (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) 1) 2)) 2)
✓	12.8b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)) 2)
	13.2b	(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 3) 2)) 2)
	26.4b	(/.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) 2)) 2)
	13.1b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))) 2)) 2)
▶	12.8b	(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3)) 2)) 2)
✓	13.0b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))) 2)
	13.0b	(/.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) 2)
✓	13.0b	(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
	19.1b	(/.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1))) 2)
	13.1b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2) (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) 1) 3)) 2)
	19.1b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 3)) 2)
▶	13.0b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3)) 2)

Compiler

Compiled 5148 to 3351 computations (34.9% saved)

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))
✓	0.2b	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))
✓	0.3b	(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
✓	12.9b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)

Compiler

Compiled 233 to 121 computations (48.1% saved)

series1.3s (5.5%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
25.0ms	alpha	@	0	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))
22.0ms	alpha	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))
20.0ms	i	@	0	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))
20.0ms	beta	@	0	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))
13.0ms	alpha	@	inf	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))

Compiler

Compiled 218600 to 161360 computations (26.2% saved)

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`fma-def_binary64`
396×	`fma-neg_binary64`
352×	`log1p-udef_binary64`
351×	`expm1-udef_binary64`
205×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	109
1	417	109
2	5952	109

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)
(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2) 1/3) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 3) 1) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (-.f64 1 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 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1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (sqrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 1 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 alpha beta) 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simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

575×	`unswap-sqr_binary64`
442×	`associate-/l/_binary64`
412×	`fma-def_binary64`
266×	`div-sub_binary64`
180×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	5555
1	776	5423
2	3083	5399

Stop Event

1×	node limit

Counts

158 → 195

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2) 1/3) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 3) 1) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (-.f64 1 (.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) -1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2))
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(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2) 1/3) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 3) 1) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (-.f64 1 (.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) -1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))))) 1/3))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 alpha beta) 1)
(fma.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (*.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1 1)
(fma.f64 (.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))))) (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) 1)
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(fma.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 1 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)

Outputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
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(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2)))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
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(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
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(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1))
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
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(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))))))
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 1 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (*.f64 (+.f64 alpha beta) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha (+.f64 beta 2))) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 (fma.f64 2 i alpha) beta) 2) (+.f64 (fma.f64 2 i alpha) beta))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 1)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
✓	1.9b	(-.f64 (.f64 beta beta) (.f64 alpha alpha))
✓	3.2b	(+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
✓	18.8b	(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))

Compiler

Compiled 160 to 70 computations (56.3% saved)

series322.0ms (1.3%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	i	@	0	(+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
4.0ms	beta	@	inf	(+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
3.0ms	beta	@	0	(+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
3.0ms	alpha	@	-inf	(+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
2.0ms	alpha	@	0	(+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

Compiler

Compiled 44530 to 32960 computations (26% saved)

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`fma-neg_binary64`
360×	`log1p-udef_binary64`
359×	`expm1-udef_binary64`
221×	`add-sqr-sqrt_binary64`
216×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	464	99
2	6774	99

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 beta beta) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 (.f64 alpha (neg.f64 alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 beta beta)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) 3) (pow.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 2) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 (-.f64 (.f64 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simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg_binary64`
352×	`log-prod_binary64`
337×	`associate-/l*_binary64`
271×	`exp-prod_binary64`
246×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	6675
1	1196	6440
2	5891	6394

Stop Event

1×	node limit

Counts

199 → 281

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 (.f64 alpha (neg.f64 alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 beta beta)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 alpha (neg.f64 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(-.f64 (/.f64 (.f64 beta beta) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (.f64 alpha alpha) (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (.f64 beta alpha) 2)))))
(/.f64 (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (fma.f64 beta beta (.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (neg.f64 (fma.f64 2 i (+.f64 beta alpha))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 alpha 4) (pow.f64 (*.f64 beta alpha) 2)))))
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(fma.f64 beta beta (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)))))
(fma.f64 (.f64 beta beta) 1 (.f64 alpha (neg.f64 alpha)))
(fma.f64 (.f64 beta beta) 1 (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(fma.f64 (+.f64 beta alpha) (-.f64 beta alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 beta 4)) (*.f64 alpha (neg.f64 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 beta 4)) (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) beta) (.f64 alpha (neg.f64 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) beta) (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 alpha (neg.f64 alpha)))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (sqrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) beta) (.f64 alpha (neg.f64 alpha)))
(fma.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) beta) (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(fma.f64 (.f64 beta (sqrt.f64 beta)) (sqrt.f64 beta) (.f64 alpha (neg.f64 alpha)))
(fma.f64 (.f64 beta (sqrt.f64 beta)) (sqrt.f64 beta) (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(fma.f64 (.f64 beta (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (.f64 alpha (neg.f64 alpha)))
(fma.f64 (.f64 beta (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (neg.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (/.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 1))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 1)
(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 1))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (neg.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) -2)))
(.f64 (/.f64 1 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) 1) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) 1) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 2)) (/.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 2)) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 2)) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 2)) (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (cbrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) (/.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 8 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) 3))) (+.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) 2) (-.f64 4 (.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) 2) -4)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i -2)))
(pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 3) 1/3)
(pow.f64 (.f64 (fma.f64 2 i (+.f64 beta alpha)) (/.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha)))) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (neg.f64 (fma.f64 2 i (+.f64 beta alpha))) -2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 1))
(fma.f64 1 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) -1)
(fma.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 2) (-.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) -1)) -1)

Outputs
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(+.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (*.f64 alpha (+.f64 (neg.f64 alpha) alpha)) (fma.f64 2 i (+.f64 beta alpha))))
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))
(+.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))
(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (*.f64 alpha (+.f64 (neg.f64 alpha) alpha)) (fma.f64 2 i (+.f64 beta alpha))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))) (.f64 (.f64 alpha (neg.f64 alpha)) (/.f64 1 (fma.f64 2 i (+.f64 beta alpha)))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(+.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 beta beta)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 alpha (neg.f64 alpha))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha))))) 1)
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(-.f64 (/.f64 (.f64 beta beta) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (.f64 alpha alpha) (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (+.f64 beta alpha) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (-.f64 beta alpha)))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (fma.f64 2 i (+.f64 beta alpha)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 2) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
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(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 2) (-.f64 1 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha))))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 2) 1) (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 3)) (+.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 2) (/.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 3)) (+.f64 1 (.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) -1)))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))) (fma.f64 2 i (+.f64 beta alpha)))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 2)) (/.f64 1 (+.f64 -1 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 2)) (+.f64 -1 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))))))
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha))))) 2)) (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) -1)))

localize43.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))

✓

12.9b

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

✓

17.5b

(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))

Compiler

Compiled 126 to 69 computations (45.2% saved)

series342.0ms (1.4%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
33.0ms	i	@	inf	(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1)
32.0ms	beta	@	inf	(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))
3.0ms	alpha	@	-inf	(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1)
3.0ms	beta	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1)
2.0ms	alpha	@	inf	(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1)

Compiler

Compiled 46620 to 34180 computations (26.7% saved)

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`fma-neg_binary64`
348×	`log1p-udef_binary64`
347×	`expm1-udef_binary64`
200×	`add-sqr-sqrt_binary64`
196×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	375	82
2	6042	82

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta)))

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

(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))

Outputs

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(/.f64 (sqrt.f64 (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)) (/.f64 (+.f64 alpha beta) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (*.f64 (+.f64 beta 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(/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 beta beta))) (-.f64 (fma.f64 2 i alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1))))) 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simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

690×	`unswap-sqr_binary64`
236×	`distribute-rgt-in_binary64`
231×	`distribute-lft-in_binary64`
225×	`log-prod_binary64`
195×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	285	3769
1	887	3730
2	3883	3730

Stop Event

1×	node limit

Counts

109 → 159

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))))) 1)
(.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 1 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (neg.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(.f64 (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (+.f64 alpha beta))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))))
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(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (fma.f64 2 i alpha)) 3) (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1))
(fma.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (fma.f64 2 i alpha) (*.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(fma.f64 (fma.f64 2 i alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (*.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))))) 1)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 2))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 1 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (neg.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))) (neg.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))))
(/.f64 (-.f64 (neg.f64 beta) alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 (-.f64 (neg.f64 beta) alpha) (fma.f64 2 i 2))))
(/.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (-.f64 (-.f64 (neg.f64 beta) alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (+.f64 alpha beta))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)) (/.f64 (+.f64 alpha beta) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (+.f64 (pow.f64 (fma.f64 2 i alpha) 2) (.f64 beta (-.f64 beta (fma.f64 2 i alpha)))))
(.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3)))) (+.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 beta (-.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (fma.f64 beta (-.f64 beta (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (fma.f64 beta (-.f64 beta (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (.f64 beta beta))) (-.f64 (fma.f64 2 i alpha) beta))
(.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 beta beta)))) (-.f64 (fma.f64 2 i alpha) beta))
(.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (.f64 beta beta))) (-.f64 (fma.f64 2 i alpha) beta))
(.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (-.f64 (pow.f64 (fma.f64 2 i alpha) 2) (.f64 beta beta))) (-.f64 (fma.f64 2 i alpha) beta))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 3) 1/3)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 3)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 2)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1)
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(neg.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (neg.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(*.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))) (neg.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))))
(/.f64 (-.f64 (neg.f64 beta) alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 (-.f64 (neg.f64 beta) alpha) (fma.f64 2 i 2))))
(/.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (-.f64 (-.f64 (neg.f64 beta) alpha) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 2))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) 3))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 3)))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 1))
(/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))
(+.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(+.f64 (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) 1) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1))) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(*.f64 1 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(*.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) 2))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) 3) 1) (+.f64 (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha))) (-.f64 1 (.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) 1))))
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(/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha))) 3)) (-.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha))) 3)) (fma.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha))))))
(/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha)) -1) (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) -1))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) -1) (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) -1))
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2) (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) -1) (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) -1))
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) -1) (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) -1))
(pow.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 1)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 3) 1/3)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) 3)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) 2)
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 2))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(log.f64 (exp.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1))))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 3))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 beta alpha) 1)
(exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))))
(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))))
(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha))) 1))
(exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (-.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha)))))
(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))))
(exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))))
(+.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (fma.f64 2 i alpha)) (.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(+.f64 (.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (fma.f64 2 i alpha)))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(+.f64 (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (fma.f64 2 i 2)))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(+.f64 (.f64 alpha (+.f64 beta (fma.f64 2 i alpha))) (.f64 (+.f64 beta (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
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(.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2)))
(.f64 (/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2)) (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 3) 1/3)
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3)
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 2)
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 2))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 3))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3) (pow.f64 (+.f64 beta (fma.f64 2 i alpha)) 3)))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (fma.f64 2 i alpha)) 3) (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3)))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(fma.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (fma.f64 2 i alpha) (*.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))
(fma.f64 (fma.f64 2 i alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (*.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 beta (fma.f64 2 i alpha)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha)))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))
	0.2b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha)))
	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta))
	12.9b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1)

Compiler

Compiled 176 to 95 computations (46% saved)

series1.1s (4.6%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	i	@	0	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))
11.0ms	beta	@	0	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))
6.0ms	alpha	@	0	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))
6.0ms	alpha	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))
5.0ms	alpha	@	inf	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))

Compiler

Compiled 169560 to 126575 computations (25.4% saved)

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`fma-neg_binary64`
384×	`log1p-udef_binary64`
383×	`expm1-udef_binary64`
221×	`add-sqr-sqrt_binary64`
215×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	445	34
2	6440	34

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3))

Outputs

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-+l+_binary64`
503×	`associate-/l*_binary64`
348×	`associate-l_binary64`
329×	`times-frac_binary64`
286×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1143
1	178	1143
2	599	1111
3	4023	1043

Stop Event

1×	node limit

Counts

28 → 43

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 2))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2) 1/3) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3) 1) (+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))) (-.f64 1 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) -1))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))))) 1/3))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)

Outputs
(+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(*.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 2))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2) 1/3))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
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(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 3/2) 1/3))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
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(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 3) 1) (+.f64 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))) (-.f64 1 (.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) 3)) (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) (-.f64 1 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha))))) 3)) (-.f64 (fma.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))))) 1) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))))) 3)) (+.f64 1 (.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))))) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) -1))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))))) 3)) (+.f64 1 (.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 (fma.f64 2 i alpha)))) (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) -1))))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) -1))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) -1))
(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) -1))
(/.f64 (fma.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) -1))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1) 1)
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 3) 1/3)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 3)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)) 2)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1) 2))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1))))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 2 (fma.f64 2 i alpha)))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))))) 1))
(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 2 (fma.f64 2 i alpha)))))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))))) 1/3))
(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 beta (fma.f64 2 i alpha)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 2 (fma.f64 2 i alpha)))))))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (+.f64 beta (fma.f64 2 i alpha)))) 1)

localize76.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
✓	4.0b	(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
✓	12.9b	(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1)
✓	17.4b	(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))

Compiler

Compiled 188 to 103 computations (45.2% saved)

series478.0ms (2%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
60.0ms	alpha	@	0	(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
7.0ms	alpha	@	0	(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1)
6.0ms	beta	@	0	(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1)
5.0ms	alpha	@	-inf	(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1)
4.0ms	alpha	@	inf	(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1)

Compiler

Compiled 54100 to 39405 computations (27.2% saved)

rewrite122.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

406×	`log1p-udef_binary64`
405×	`expm1-udef_binary64`
236×	`add-sqr-sqrt_binary64`
234×	`pow1_binary64`
232×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	107
1	451	107
2	7211	107

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-def_binary64`
274×	`log-prod_binary64`
244×	`fma-neg_binary64`
237×	`div-sub_binary64`
233×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	4068
1	881	4010
2	4093	3917

Stop Event

1×	node limit

Counts

132 → 165

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (neg.f64 (/.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 beta alpha))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (/.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)))) 1)
(*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (/.f64 1 (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (/.f64 1 (-.f64 beta alpha))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (sqrt.f64 (-.f64 beta alpha))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (neg.f64 (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 2))
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(pow.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 2)
(pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 beta alpha)) -1)
(neg.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 beta (fma.f64 2 i alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 1))

Outputs
(+.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (neg.f64 (/.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (/.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (/.f64 1 (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (/.f64 1 (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (/.f64 1 (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (/.f64 1 (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (cbrt.f64 (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (cbrt.f64 (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))
(.f64 (+.f64 beta alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 3) 1/3)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 3)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 2)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (neg.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha)) 3))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 beta alpha))
(+.f64 1 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))))))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(+.f64 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))))) 1)
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(+.f64 (.f64 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))))) 1) 1)
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha))))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))) 1))) 1)
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(.f64 1 (fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha))))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))) 1))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(.f64 (fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha))))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))) 1) 1)
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(expm1.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha))))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))) 1)))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha))))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))) 1)))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta)) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))) 1)
(exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2)))))))
(exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))))
(exp.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))))))
(exp.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2)))))) 1))
(exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))))
(exp.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha)))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))))))
(exp.f64 (log1p.f64 (.f64 (-.f64 beta alpha) (.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 alpha (-.f64 (fma.f64 2 i 2) beta))))))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (neg.f64 (pow.f64 (fma.f64 2 i 2) 2)) 1))
(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(+.f64 (neg.f64 (pow.f64 (fma.f64 2 i 2) 2)) (pow.f64 (+.f64 beta alpha) 2))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 6) (pow.f64 (fma.f64 2 i 2) 6)) (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 4) (pow.f64 (fma.f64 2 i 2) 4))))
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(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 4) (pow.f64 (fma.f64 2 i 2) 4)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 6) (pow.f64 (fma.f64 2 i 2) 6)) (+.f64 (pow.f64 (+.f64 beta alpha) 4) (+.f64 (pow.f64 (fma.f64 2 i 2) 4) (pow.f64 (*.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))))
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(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 4) (pow.f64 (fma.f64 2 i 2) 4)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2))
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(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (+.f64 beta alpha) (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 1)
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 2))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (.f64 (cbrt.f64 (+.f64 beta alpha)) (/.f64 1 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(.f64 (sqrt.f64 (+.f64 beta alpha)) (.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 1 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (neg.f64 (+.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (/.f64 1 (+.f64 beta (fma.f64 2 i alpha))) (+.f64 beta alpha))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (+.f64 beta alpha)) (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2)) (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2))
(/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2)) (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2)) (/.f64 (sqrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2)) (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i alpha))) 2))
(/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (/.f64 (cbrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha)))) (sqrt.f64 (+.f64 beta (fma.f64 2 i alpha))))
(/.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))))
(.f64 (/.f64 (+.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (fma.f64 beta beta (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) beta))))
(.f64 (/.f64 (+.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i alpha) 3))) (fma.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) beta) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 beta alpha) (-.f64 (.f64 beta beta) (pow.f64 (fma.f64 2 i alpha) 2))) (-.f64 beta (fma.f64 2 i alpha)))
(pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 1)
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 3) 1/3)
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 3)
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 2)
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 beta alpha)) -1)
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(neg.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 2))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) 3))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 beta (fma.f64 2 i alpha)) 3)))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))) 1))
(/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha)))
(/.f64 (+.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha)))

eval694.0ms (2.9%)

Compiler: Compiled 44897 to 25102 computations (44.1% saved)

prune430.0ms (1.8%)

Pruning

75 alts after pruning (63 fresh and 12 done)

	Pruned	Kept	Total
New	1003	17	1020
Fresh	8	46	54
Picked	1	0	1
Done	3	12	15
Total	1015	75	1090

Error

12.5b

Counts

1090 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	13.0b	(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta alpha)) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha))) -1) 1) 2)
	13.2b	(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) -1/2) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) 1) 2)
	19.0b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2)))) (-.f64 beta alpha))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 1) 2)
	13.2b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 2)
	34.2b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 8 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (fma.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (-.f64 (fma.f64 2 i beta) 2)) 4) 1) 2)
✓	19.1b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1) 2)
	17.6b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1) 2)
	19.1b	(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (-.f64 4 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))) (-.f64 (-.f64 2 alpha) (fma.f64 2 i beta)) 1) 2)
	30.9b	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1) 2)
	22.7b	(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha beta) 2)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 1) 2)
	19.2b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
	19.2b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha)))) 1) 2)
✓	13.0b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
	19.1b	(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
	22.7b	(/.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
	13.0b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 1) 2)
	13.3b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) 2) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1)) 3) 2)
	22.6b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (+.f64 beta (fma.f64 2 i alpha))))) (+.f64 beta (-.f64 alpha (fma.f64 2 i 2))) 1)) 3) 2)
	13.4b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)) 3) 2)
✓	13.2b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
	13.1b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
	13.1b	(/.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) 2)
	26.6b	(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) -1) (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) -1)) 2)
	23.1b	(/.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))))) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)))) -1)) 2)
	26.9b	(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) -1) (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) -1)) 2)
	13.3b	(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.7b	(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	46.3b	(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.4b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
✓	22.6b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	27.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	23.6b	(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	38.1b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
✓	22.7b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.6b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 2 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	22.6b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
	30.8b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2) 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	13.2b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) 3))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	13.0b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	22.1b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.5b	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	13.0b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)))) 1) 2)
	13.2b	(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	13.0b	(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta alpha)) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1) 2)
✓	13.0b	(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
	22.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
	12.8b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2) (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) 1) 2)) 2)
✓	12.8b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)) 2)
	30.6b	(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 alpha beta)) (*.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)) 2)
	13.2b	(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 3) 2)) 2)
	26.4b	(/.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) 2)) 2)
	13.2b	(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 3) 3)) 2)) 2)
	26.4b	(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 2) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) -1)) 3)) 2)) 2)
	12.8b	(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1) 3)) 3)) 2)) 2)
	13.1b	(/.f64 (exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))))) 1/3)) 2)
✓	13.0b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))) 2)
	13.0b	(/.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) 2)
✓	13.0b	(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
	19.1b	(/.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1))) 2)
	13.1b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2) (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (+.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))))) 1) 3)) 2)
	13.0b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 3)) 2)
	13.4b	(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 3) 3)) 2)
	12.8b	(/.f64 (cbrt.f64 (pow.f64 (fabs.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 3)) 2)
	13.0b	(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1) 3)) 3)) 2)

Compiler

Compiled 2922 to 1906 computations (34.8% saved)

regimes566.0ms (2.4%)

Counts

116 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 2 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) 1) 2)
(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 alpha beta)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))) -1) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 3) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (+.f64 1 (.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (fma.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) -1)))) 2)
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(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) (fma.f64 2 i (+.f64 alpha beta))) 1)) 3) 3)) 2)) 2)
(/.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta (fma.f64 2 i alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2))) 1) 2))) 2)
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1))) 2)
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) 2) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha))) -1)) 2)) 2)
(/.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (-.f64 beta alpha)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))) 1) 2)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) 1))) 2)) 2)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) 2) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) -1) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2)) (+.f64 (fma.f64 2 i alpha) beta))) -1)) 3)) 2)) 2)

Outputs
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)) 2)

Calls

8 calls:

133.0ms	(*.f64 2 i)
74.0ms	alpha
51.0ms	beta
48.0ms	(*.f64 2 i)
47.0ms	i

Results

Error	Segments	Branch
12.8b	1	`alpha`
12.8b	1	`beta`
12.8b	1	`i`
12.8b	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
12.8b	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
12.8b	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
12.8b	1	`(*.f64 2 i)`
12.8b	1	`(*.f64 2 i)`

Compiler

Compiled 4401 to 2454 computations (44.2% saved)

regimes257.0ms (1.1%)

Counts

59 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 2 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) 1) 2)
(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 alpha beta)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))) -1) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 3) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2) 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) 3))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))))) 2)
(/.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) 2)
(/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) -2) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)) 3) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1)) 3) 2)
(/.f64 (exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) (+.f64 beta 2))) (+.f64 beta (fma.f64 2 i alpha)))))) 1/3)) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2)))) 1) 3) 1/3) 2)
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta))) (+.f64 alpha beta))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2))))) 1))) 2)
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))))) 2)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 3)) 2)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 3)) 2)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) 1) 3)) 2)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 beta (fma.f64 2 i alpha))) (-.f64 beta alpha) 1) 3)) 2)
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta)))) 1) 2)) 2)

Outputs
(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)

Calls

8 calls:

65.0ms	i
37.0ms	beta
28.0ms	(*.f64 2 i)
26.0ms	(*.f64 2 i)
25.0ms	alpha

Results

Error	Segments	Branch
13.0b	1	`alpha`
13.0b	1	`beta`
13.0b	1	`i`
13.0b	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
13.0b	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
13.0b	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
13.0b	1	`(*.f64 2 i)`
13.0b	1	`(*.f64 2 i)`

Compiler

Compiled 1970 to 1075 computations (45.4% saved)

regimes139.0ms (0.6%)

Counts

41 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (fabs.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) (.f64 2 i)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (.f64 i i) -4))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (.f64 i i) 4))) (+.f64 (+.f64 beta alpha) (.f64 -2 i))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (+.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i alpha) beta)) (-.f64 beta alpha)))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 3) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 2 i (+.f64 beta alpha))) (+.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 2 (fma.f64 (neg.f64 alpha) alpha (.f64 alpha alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 alpha alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i (+.f64 beta 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 (fma.f64 2 i alpha) beta))) (-.f64 beta alpha) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 2 i beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) 1) 2)
(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (/.f64 1 (.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 alpha (+.f64 (fma.f64 2 i 2) beta))))) 1) 2)
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)) (+.f64 alpha beta)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))) -1) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (exp.f64 (neg.f64 (log.f64 (fma.f64 2 i (+.f64 beta alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (sqrt.f64 (fma.f64 2 i (+.f64 beta alpha))) -2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))) 3) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 beta alpha))) 3) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (pow.f64 (fma.f64 2 i (+.f64 beta alpha)) -1/2) 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 i (+.f64 beta alpha)))) 3))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta alpha)) (/.f64 (fma.f64 2 i (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 1 (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)

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

Calls

8 calls:

19.0ms	alpha
19.0ms	(*.f64 2 i)
17.0ms	i
17.0ms	(*.f64 2 i)
17.0ms	beta

Results

Error	Segments	Branch
13.0b	1	`alpha`
13.0b	1	`beta`
13.0b	1	`i`
13.0b	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
13.0b	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
13.0b	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
13.0b	1	`(*.f64 2 i)`
13.0b	1	`(*.f64 2 i)`

Compiler

Compiled 1434 to 767 computations (46.5% saved)

regimes60.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	(*.f64 2 i)
8.0ms	beta
7.0ms	i
6.0ms	(*.f64 2 i)
6.0ms	alpha

Results

Error	Segments	Branch
13.0b	1	`alpha`
13.0b	1	`beta`
13.0b	1	`i`
13.0b	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
13.0b	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
13.0b	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
13.0b	1	`(*.f64 2 i)`
13.0b	1	`(*.f64 2 i)`

Compiler

Compiled 508 to 288 computations (43.3% saved)

regimes32.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

7.0ms	beta
5.0ms	(*.f64 2 i)
3.0ms	(*.f64 2 i)
3.0ms	alpha
3.0ms	i

Results

Error	Segments	Branch
13.0b	1	`alpha`
13.0b	1	`beta`
13.0b	1	`i`
13.0b	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
13.0b	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
13.0b	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
13.0b	1	`(*.f64 2 i)`
13.0b	1	`(*.f64 2 i)`

Compiler

Compiled 203 to 124 computations (38.9% saved)

regimes21.0ms (0.1%)

Accuracy

Total -9.6b remaining (-74.1%)

Threshold costs -9.6b (-74.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

3.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
3.0ms	(*.f64 2 i)
3.0ms	alpha
3.0ms	i
3.0ms	beta

Results

Error	Segments	Branch
13.0b	1	`alpha`
13.0b	1	`beta`
13.0b	1	`i`
13.0b	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
13.0b	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
13.0b	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
13.0b	1	`(*.f64 2 i)`

Compiler

Compiled 169 to 104 computations (38.5% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
8×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	292
1	92	292
2	96	292
3	98	292
4	99	292

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)) 2)
(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)

Outputs
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i alpha) beta)) (fma.f64 2 i (+.f64 (+.f64 beta 2) alpha))) 1) 2)) 2)
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 2 i alpha))) (fma.f64 2 i (+.f64 alpha (+.f64 beta 2)))) 1) 2)) 2)
(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))))) 2)
(/.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) 2)
(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 (fma.f64 2 i beta) 2)))) 1) 2)
(/.f64 (+.f64 1 (*.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 1 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) (+.f64 (+.f64 alpha beta) (+.f64 2 (.f64 2 i))))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 2 (.f64 2 i))))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 2)

Compiler

Compiled 220 to 144 computations (34.5% saved)

soundness73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
812×	`distribute-rgt-in_binary64`
746×	`distribute-lft-in_binary64`
535×	`div-sub_binary64`
535×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	34	39
2	112	37
3	517	37
4	2701	37
5	4489	37
6	5870	37

Stop Event

1×	node limit

Compiler

Compiled 592 to 375 computations (36.7% saved)

end108.0ms (0.4%)

Compiler: Compiled 202 to 114 computations (43.6% saved)