Details

analyze60.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
0%	0%	56.2%	43.8%	0%	0%	0%	2
25%	14%	42.1%	43.8%	0%	0%	0%	3
37.5%	21.1%	35.1%	43.8%	0%	0%	0%	4
56.3%	31.6%	24.6%	43.8%	0%	0%	0%	5
65.6%	36.9%	19.3%	43.8%	0%	0%	0%	6
76.6%	43%	13.2%	43.8%	0%	0%	0%	7
82%	46.1%	10.1%	43.8%	0%	0%	0%	8
87.9%	49.4%	6.8%	43.8%	0%	0%	0%	9
90.8%	51%	5.2%	43.8%	0%	0%	0%	10
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	11
95.4%	53.6%	2.6%	43.8%	0%	0%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.8s (25.6%)

Results

1.0s	6507×	body	256	valid
511.0ms	1047×	body	1024	valid
175.0ms	586×	body	512	valid
44.0ms	116×	body	2048	valid

Bogosity

preprocess80.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-neg_binary64`
548×	`div-sub_binary64`
439×	`sub-neg_binary64`
372×	`times-frac_binary64`
269×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	39	38
2	64	38
3	109	38
4	203	38
5	404	34
6	861	34
7	2067	34
8	5489	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.4b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize62.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 50 to 23 computations (54% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite110.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`fma-def_binary64`
578×	`log-prod_binary64`
369×	`fma-neg_binary64`
328×	`pow2_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	243	29
2	3788	29

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

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

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

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

182 → 214

Calls

Call 1

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

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

eval257.0ms (3.7%)

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

prune87.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Error

0.0b

Counts

215 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.1b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	40.6b	(/.f64 2 2)
✓	16.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
▶	31.8b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	48.7b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (+.f64 beta beta) 2)) (pow.f64 alpha 4))))) 2)
	48.7b	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 2)
	47.1b	(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
▶	47.2b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) 2)

Compiler

Compiled 561 to 433 computations (22.8% saved)

localize38.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

90 → 93

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize65.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.4b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite112.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 88

Calls

Call 1

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

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

localize75.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (*.f64 beta -2) -2) alpha)
✓	0.0b	(/.f64 (-.f64 -2 beta) alpha)
✓	0.2b	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))

Compiler

Compiled 69 to 50 computations (27.5% saved)

series24.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite147.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

243 → 201

Calls

Call 1

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

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

localize97.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta))))
✓	6.2b	(/.f64 beta (pow.f64 alpha 3))
✓	6.4b	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))
✓	9.8b	(+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))

Compiler

Compiled 247 to 144 computations (41.7% saved)

series30.0ms (0.4%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	inf	(fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta))))
4.0ms	beta	@	0	(+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))
2.0ms	alpha	@	0	(+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))
1.0ms	beta	@	0	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))
1.0ms	beta	@	-inf	(+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))

rewrite116.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

308×	`add-sqr-sqrt_binary64`
304×	`pow1_binary64`
301×	`*-un-lft-identity_binary64`
289×	`add-log-exp_binary64`
289×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	151
1	615	135

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify174.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

577×	`associate-+l+_binary64`
431×	`associate-+r+_binary64`
422×	`unsub-neg_binary64`
354×	`sub-neg_binary64`
252×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	2875
1	490	2751
2	1613	2641
3	6695	2562

Stop Event

1×	node limit

Counts

197 → 192

Calls

Call 1

Inputs
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))))))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 2 (/.f64 1 alpha)))))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) beta))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) beta) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) beta) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) beta) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) beta) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3))))))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 16 (/.f64 1 (pow.f64 alpha 3))))))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 10 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 2 (/.f64 1 alpha))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (.f64 -1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (.f64 -1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))

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

eval636.0ms (9.1%)

Compiler: Compiled 19324 to 13756 computations (28.8% saved)

prune121.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	565	9	574
Fresh	4	1	5
Picked	1	0	1
Done	1	4	5
Total	571	14	585

Error

Counts

585 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	31.8b	(/.f64 1 2)
	49.8b	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) 2)
✓	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	49.7b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
	45.5b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	40.6b	(/.f64 2 2)
✓	16.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	48.7b	(/.f64 (/.f64 2 alpha) 2)
	33.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
	49.4b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)
	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
▶	58.6b	(/.f64 (.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	33.9b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)

Compiler

Compiled 286 to 234 computations (18.2% saved)

localize3.0ms (0%)

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

localize9.0ms (0.1%)

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

localize9.0ms (0.1%)

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	10
2	2152	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

753×	`times-frac_binary64`
657×	`fma-neg_binary64`
533×	`div-sub_binary64`
524×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	132
1	31	132
2	55	132
3	111	132
4	295	132
5	1042	132
6	4838	132
7	7520	132

Stop Event

1×	node limit

Counts

43 → 36

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 -2 beta) alpha)
✓	0.2b	(*.f64 beta (/.f64 -2 alpha))
✓	0.2b	(.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))

Compiler

Compiled 58 to 40 computations (31% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
347×	`prod-diff_binary64`
332×	`pow2_binary64`
233×	`pow1/3_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	254	26
2	3637	26

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-neg_binary64`
466×	`associate-l_binary64`
388×	`associate-r_binary64`
375×	`fma-def_binary64`
373×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	762
1	102	762
2	266	762
3	892	541
4	4934	541

Stop Event

1×	node limit

Counts

114 → 80

Calls

Call 1

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

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

eval109.0ms (1.6%)

Compiler: Compiled 5195 to 3429 computations (34% saved)

prune45.0ms (0.6%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	5	5
Picked	1	0	1
Done	0	8	8
Total	204	15	219

Error

Counts

219 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	31.8b	(/.f64 1 2)
	49.8b	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) 2)
✓	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	49.7b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
▶	45.5b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	40.6b	(/.f64 2 2)
✓	16.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	48.7b	(/.f64 (/.f64 2 alpha) 2)
▶	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	58.6b	(/.f64 (.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (neg.f64 beta) alpha))) 2)
▶	33.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
	49.4b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)
▶	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
✓	33.9b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)

Compiler

Compiled 270 to 218 computations (19.3% saved)

localize9.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Compiler: Compiled 20 to 16 computations (20% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	alpha	@	-inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	beta	@	0	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
0.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

55 → 37

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 53 to 28 computations (47.2% saved)

series13.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	0	(.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (neg.f64 beta) alpha)))
2.0ms	beta	@	-inf	(.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (neg.f64 beta) alpha)))
1.0ms	alpha	@	0	(.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (neg.f64 beta) alpha)))
1.0ms	beta	@	inf	(.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (neg.f64 beta) alpha)))
1.0ms	alpha	@	inf	(.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (neg.f64 beta) alpha)))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
451×	`prod-diff_binary64`
277×	`pow2_binary64`
242×	`pow-unpow_binary64`
196×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	245	16
2	3511	16

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-/l*_binary64`
581×	`fma-def_binary64`
448×	`associate-/r*_binary64`
366×	`unswap-sqr_binary64`
365×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	420
1	29	420
2	59	420
3	163	348
4	817	312
5	5102	312
6	6435	312
7	7442	312
8	7913	312

Stop Event

1×	node limit

Counts

59 → 42

Calls

Call 1

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

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

eval47.0ms (0.7%)

Compiler: Compiled 1986 to 1354 computations (31.8% saved)

prune28.0ms (0.4%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	2	2
Picked	1	0	1
Done	0	12	12
Total	132	15	147

Error

Counts

147 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	31.8b	(/.f64 1 2)
	49.8b	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) 2)
✓	17.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	49.7b	(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)
	58.6b	(/.f64 (/.f64 (.f64 (+.f64 -1 (/.f64 beta alpha)) (.f64 beta -2)) alpha) 2)
✓	45.5b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	40.6b	(/.f64 2 2)
✓	16.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	48.7b	(/.f64 (/.f64 2 alpha) 2)
✓	33.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
	49.4b	(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2)
✓	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
✓	33.9b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)

Compiler

Compiled 171 to 139 computations (18.7% saved)

regimes128.0ms (1.8%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

8 calls:

35.0ms	beta
25.0ms	alpha
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.7b	2	`alpha`
15.3b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 479 to 350 computations (26.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999353036	-0.9999629261324079

Compiler

Compiled 20 to 15 computations (25% saved)

regimes97.0ms (1.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

8 calls:

26.0ms	beta
18.0ms	alpha
14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.7b	2	`alpha`
15.3b	3	`beta`
0.2b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.2b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.2b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.2b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.2b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.2b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 221 to 163 computations (26.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999353036	-0.9999629261324079

Compiler

Compiled 20 to 15 computations (25% saved)

regimes50.0ms (0.7%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	beta
22.0ms	alpha

Results

Error	Segments	Branch
4.4b	2	`alpha`
16.0b	3	`beta`

Compiler

Compiled 101 to 79 computations (21.8% saved)

bsearch35.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	4.823879126098713e+62	6.157207917300251e+64

Compiler

Compiled 20 to 15 computations (25% saved)

regimes55.0ms (0.8%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	beta
25.0ms	alpha

Results

Error	Segments	Branch
14.1b	4	`alpha`
16.0b	4	`beta`

Compiler

Compiled 79 to 64 computations (19% saved)

bsearch81.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
21.0ms	53944.35439728078	4048417393.4412313
22.0ms	-8.521419837151745e-220	-3.3028404622128433e-239
37.0ms	-6.81290902402418e-200	-1.7113764471727474e-205

Compiler

Compiled 20 to 15 computations (25% saved)

regimes53.0ms (0.8%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	beta
23.0ms	alpha

Results

Error	Segments	Branch
14.4b	4	`alpha`
16.4b	4	`beta`

Compiler

Compiled 70 to 57 computations (18.6% saved)

bsearch115.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
22.0ms	0.39814588150642466	1984.2667314126027
21.0ms	-8.521419837151745e-220	-3.3028404622128433e-239
72.0ms	-6.81290902402418e-200	-1.7113764471727474e-205

Compiler

Compiled 20 to 15 computations (25% saved)

regimes50.0ms (0.7%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
18.1b	4	`alpha`
16.4b	4	`beta`

Compiler

Compiled 61 to 51 computations (16.4% saved)

bsearch101.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
30.0ms	5.450038347725156e-6	18893.63498108284
30.0ms	-2.7608632033096067e-117	-1.1006400303681502e-117
40.0ms	-6.830324028515428e-79	-2.8583416342434272e-84

Compiler

Compiled 20 to 15 computations (25% saved)

regimes49.0ms (0.7%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
17.1b	5	`alpha`
16.8b	4	`beta`

Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch122.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
29.0ms	46584101125922.38	96891533725882.16
63.0ms	-2.7608632033096067e-117	-1.1006400303681502e-117
30.0ms	-6.830324028515428e-79	-2.8583416342434272e-84

Compiler

Compiled 20 to 15 computations (25% saved)

regimes41.0ms (0.6%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	alpha
16.0ms	beta

Results

Error	Segments	Branch
17.4b	5	`alpha`
16.8b	4	`beta`

Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch137.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
60.0ms	46584101125922.38	96891533725882.16
43.0ms	-2.7608632033096067e-117	-1.1006400303681502e-117
34.0ms	-6.830324028515428e-79	-2.8583416342434272e-84

Compiler

Compiled 20 to 15 computations (25% saved)

regimes23.0ms (0.3%)

Accuracy

Total -36.3b remaining (-201.6%)

Threshold costs -36.3b (-201.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
26.7b	4	`alpha`
18.0b	2	`beta`

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch31.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	46584101125922.38	96891533725882.16

Compiler

Compiled 20 to 15 computations (25% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
26×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
21×	`sub-neg_binary64`
20×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	383
1	114	383
2	138	383
3	154	383
4	171	383
5	201	383
6	237	383
7	272	383
8	315	383
9	336	383

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 482387912609871328009283792849291658612935732745145126039322624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (/.f64 2 2) (if (<=.f64 alpha 926756951760619/17179869184) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (/.f64 2 2) (if (<=.f64 alpha 7172358574365727/18014398509481984) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 1 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5962764944118065/128) (/.f64 1 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 1 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5962764944118065/128) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 5962764944118065/128) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 482387912609871328009283792849291658612935732745145126039322624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))
(if (<=.f64 alpha 482387912609871328009283792849291658612935732745145126039322624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (/.f64 2 2) (if (<=.f64 alpha 926756951760619/17179869184) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 1 (if (<=.f64 alpha 926756951760619/17179869184) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (/.f64 2 2) (if (<=.f64 alpha 7172358574365727/18014398509481984) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2))))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 1 (if (<=.f64 alpha 7172358574365727/18014398509481984) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))))
(if (<=.f64 alpha -2935752896614603/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (if (<=.f64 alpha -5418868109012273/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 1 (if (<=.f64 alpha 7172358574365727/18014398509481984) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 1 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5962764944118065/128) (/.f64 1 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) 1/2 (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5962764944118065/128) 1/2 (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 1 2) (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5962764944118065/128) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -5699017021893765/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) 1/2 (if (<=.f64 beta -7838680815032177/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5962764944118065/128) 1/2 1)))
(if (<=.f64 beta 5962764944118065/128) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 5962764944118065/128) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 285 to 217 computations (23.9% saved)

soundness93.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 943 to 719 computations (23.8% saved)

end183.0ms (2.6%)

Compiler: Compiled 267 to 194 computations (27.3% saved)

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

Iter	Nodes	Cost
0	86	383
1	114	383
2	138	383
3	154	383
4	171	383
5	201	383
6	237	383
7	272	383
8	315	383
9	336	383

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

Iter	Nodes	Cost
0	86	383
1	114	383
2	138	383
3	154	383
4	171	383
5	201	383
6	237	383
7	272	383
8	315	383
9	336	383

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

Iter	Nodes	Cost
0	86	383
1	114	383
2	138	383
3	154	383
4	171	383
5	201	383
6	237	383
7	272	383
8	315	383
9	336	383