Metrics for Octave 3.8, jcobi/1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
100%	56.2%	0%	43.8%	0%	0%	0%	1

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.3s (19%)

Results

880.0ms	6490×	body	256	valid
281.0ms	1048×	body	1024	valid
114.0ms	623×	body	512	valid
29.0ms	95×	body	2048	valid

Bogosity

preprocess153.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1434×	`sub-neg`
1296×	`div-sub`
860×	`distribute-lft-neg-in`
732×	`fma-def`
594×	`neg-mul-1`

Problems

187×	No Errors
69×	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	367
1	89	359
2	199	351
3	536	343
4	1567	343
5	4659	343
6	7229	343

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 66 to 35 computations (47% saved)

eval1.0ms (0%)

Compiler: Compiled 67 to 44 computations (34.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize69.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	74.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite131.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1241×	`log1p-expm1-u`
1122×	`expm1-log1p-u`
354×	`log1p-udef`
352×	`expm1-udef`
96×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	199	80
2	3149	80

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1312×	`cancel-sign-sub-inv`
1002×	`fma-neg`
806×	`unswap-sqr`
600×	`sub-neg`
512×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	9396
1	1140	9042
2	4296	8889

Stop Event

1×	node limit

Counts

122 → 234

Calls

Call 1

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

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

eval147.0ms (2.1%)

Compiler: Compiled 7369 to 5271 computations (28.5% saved)

prune51.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	226	8	234
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	226	9	235

Accuracy

100.0%

Counts

235 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	74.9%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	3.8%	(/.f64 (+.f64 -1 1) 2)
▶	74.9%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	74.9%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	38.9%	(/.f64 2 2)
▶	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	74.9%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	3.8%	(/.f64 (+.f64 -1 1) 2)
▶	74.9%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	74.9%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	38.9%	(/.f64 2 2)

Compiler

Compiled 406 to 326 computations (19.7% saved)

localize369.0ms (5.3%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	74.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
✓	74.9%	(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
✓	100.0%	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
✓	100.0%	(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
✓	100.0%	(/.f64 beta (+.f64 2 beta))
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
✓	97.4%	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
✓	74.2%	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

Compiler

Compiled 193 to 117 computations (39.4% saved)

series32.0ms (0.5%)

Counts

10 → 204

Calls

54 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	-inf	(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
2.0ms	alpha	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
2.0ms	beta	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
1.0ms	beta	@	-inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
1.0ms	beta	@	0	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

rewrite180.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`log1p-udef`
738×	`expm1-udef`
358×	`log1p-expm1-u`
230×	`associate-r`
204×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	360
1	479	356
2	6712	356

Stop Event

1×	node limit

Counts

10 → 347

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 beta (+.f64 2 beta))
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))

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

simplify317.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1966×	`fma-def`
1092×	`distribute-rgt-in`
1084×	`distribute-lft-in`
700×	`times-frac`
554×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1135	44347
1	3506	42431

Stop Event

1×	node limit

Counts

551 → 630

Calls

Call 1

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

Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))
(fma.f64 beta (+.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 alpha (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 1/2 (.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 alpha (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (.f64 1/2 (pow.f64 beta 2)) (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))) (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 1/6 (.f64 (pow.f64 beta 3) (fma.f64 -6 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (fma.f64 1/2 (.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 1/6 (.f64 (pow.f64 beta 3) (fma.f64 -6 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (/.f64 (.f64 6 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (fma.f64 beta (+.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 alpha (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (.f64 1/2 (pow.f64 beta 2)) (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 (log.f64 2) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (pow.f64 beta 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (.f64 3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
(+.f64 (log.f64 2) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3) (fma.f64 3/2 (.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (.f64 3 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (pow.f64 beta 3)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (pow.f64 beta 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))))
(+.f64 (log.f64 2) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3) (fma.f64 3/2 (.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (.f64 (.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -1 alpha -2) alpha)))) (pow.f64 beta 3)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 (log.f64 2) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (pow.f64 beta 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (.f64 -3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (fma.f64 -3 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -3/2 (.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)))) (pow.f64 beta 3)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (pow.f64 beta 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 -1 alpha -2) alpha)) -3 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3) (.f64 (.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) -3/2))) (pow.f64 beta 3)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)))))
(log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(log1p.f64 (/.f64 beta (+.f64 2 beta)))
(+.f64 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (.f64 -1 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))
(+.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))
(-.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (/.f64 alpha (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))))
(+.f64 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 2 beta)))))))))
(+.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (/.f64 (.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (.f64 1/2 (.f64 (pow.f64 alpha 2) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (.f64 2 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))))))))
(+.f64 (-.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (/.f64 alpha (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))))) (.f64 (.f64 1/2 (pow.f64 alpha 2)) (-.f64 (.f64 2 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))) (/.f64 (pow.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))
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2
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2
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1
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1
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(/.f64 beta (+.f64 2 beta))
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-1
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-1
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
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(*.f64 1/2 beta)
(*.f64 beta 1/2)
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(fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2))
(fma.f64 beta 1/2 (*.f64 (pow.f64 beta 2) -1/4))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2)))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 beta 1/2 (*.f64 (pow.f64 beta 3) 1/8)))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 beta 1/2 (*.f64 (pow.f64 beta 3) 1/8))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
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(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
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1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(fma.f64 beta 1/2 1)
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(+.f64 1 (fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 beta 1/2 (*.f64 (pow.f64 beta 3) 1/8))))
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)))
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(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
2
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2
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2
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1
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1
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-1
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-1
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(exp.f64 2)
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(exp.f64 2)
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1
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(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) 1)
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 1 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (E.f64))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (E.f64) (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 3)
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3) 1/3)
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))
(fabs.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(log.f64 (exp.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

eval448.0ms (6.5%)

Compiler: Compiled 23781 to 18080 computations (24% saved)

prune129.0ms (1.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	623	7	630
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	627	12	639

Accuracy

100.0%

Counts

639 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	6.5%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
▶	26.5%	(/.f64 (/.f64 2 alpha) 2)
▶	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
▶	74.0%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
	44.8%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	48.1%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
	48.1%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.9%	(/.f64 2 2)
✓	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	6.5%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
▶	26.5%	(/.f64 (/.f64 2 alpha) 2)
▶	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
▶	74.0%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
	44.8%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	48.1%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
	48.1%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.9%	(/.f64 2 2)

Compiler

Compiled 416 to 348 computations (16.3% saved)

localize305.0ms (4.4%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	68.5%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	68.5%	(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	68.5%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	100.0%	(+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1)
✓	100.0%	(/.f64 (+.f64 2 beta) beta)
✓	99.8%	(/.f64 1 (/.f64 (+.f64 2 beta) beta))

Compiler

Compiled 141 to 104 computations (26.2% saved)

series4.0ms (0.1%)

Counts

9 → 108

Calls

27 calls:

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

rewrite133.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`prod-diff`
901×	`log1p-expm1-u`
474×	`expm1-udef`
474×	`log1p-udef`
138×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	217
1	275	205
2	4037	205

Stop Event

1×	node limit

Counts

9 → 304

Calls

Call 1

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

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

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

932×	`cancel-sign-sub-inv`
798×	`fma-neg`
584×	`log-prod`
534×	`exp-prod`
502×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	14253
1	1329	13266
2	4282	12704

Stop Event

1×	node limit

Counts

412 → 348

Calls

Call 1

Inputs
(*.f64 1/2 beta)
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/2 beta))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 1/2 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 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (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 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 2 beta)
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
1
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
1
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/2 beta)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 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 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (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 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(/.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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (.f64 1/2 alpha))
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 1/2 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 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
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 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(/.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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(/.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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (.f64 1/2 alpha))
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 1/2 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 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
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 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(exp.f64 1)
(+.f64 (exp.f64 1) (.f64 -1/2 (.f64 alpha (exp.f64 1))))
(+.f64 (exp.f64 1) (+.f64 (.f64 -1/2 (.f64 alpha (exp.f64 1))) (.f64 3/8 (.f64 (pow.f64 alpha 2) (exp.f64 1)))))
(+.f64 (exp.f64 1) (+.f64 (.f64 -1/2 (.f64 alpha (exp.f64 1))) (+.f64 (.f64 -13/48 (.f64 (pow.f64 alpha 3) (exp.f64 1))) (.f64 3/8 (.f64 (pow.f64 alpha 2) (exp.f64 1))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
1
(+.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1)
(*.f64 1 (/.f64 beta (+.f64 2 beta)))
(*.f64 beta (/.f64 1 (+.f64 2 beta)))
(*.f64 (/.f64 beta (+.f64 2 beta)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 (neg.f64 beta) -2) beta)))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 beta))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) 2) (.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) 1))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 2 beta))) (sqrt.f64 (/.f64 beta (+.f64 2 beta))))
(.f64 (sqrt.f64 (/.f64 beta (+.f64 2 beta))) (.f64 (sqrt.f64 (/.f64 beta (+.f64 2 beta))) 1))
(*.f64 (/.f64 1 (+.f64 2 beta)) beta)
(*.f64 (/.f64 1 (+.f64 2 beta)) (pow.f64 (/.f64 1 beta) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) beta)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) beta)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 beta (sqrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(.f64 (.f64 (/.f64 1 (+.f64 2 beta)) 1) beta)
(.f64 (.f64 (/.f64 1 (+.f64 2 beta)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(.f64 (.f64 (/.f64 1 (+.f64 2 beta)) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 1 (+.f64 (neg.f64 beta) -2)) (neg.f64 beta))
(.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 (+.f64 2 beta) beta) -1)
(pow.f64 (/.f64 beta (+.f64 2 beta)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 2 beta))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 beta) beta)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 2 beta))) 1))
(exp.f64 (-.f64 (log.f64 beta) (log.f64 (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 beta) beta))) 1)
(*.f64 1 (/.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 beta) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 2 beta) beta) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (.f64 (cbrt.f64 (+.f64 2 beta)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) 2) (cbrt.f64 (/.f64 (+.f64 2 beta) beta)))
(.f64 (sqrt.f64 (+.f64 2 beta)) (.f64 (sqrt.f64 (+.f64 2 beta)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) beta)) (sqrt.f64 (/.f64 (+.f64 2 beta) beta)))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 2 beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 2 beta) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 beta)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 2 beta) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) 1) (/.f64 (sqrt.f64 (+.f64 2 beta)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 2 beta)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 2 beta) beta) 1)
(pow.f64 (/.f64 beta (+.f64 2 beta)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) beta)) 2)
(neg.f64 (/.f64 (+.f64 2 beta) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 beta) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 beta) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 beta) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 beta) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 beta) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 beta) beta)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) (+.f64 (/.f64 beta (+.f64 2 beta)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) -1)))
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 2 beta) beta) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) (-.f64 1 (/.f64 beta (+.f64 2 beta))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 1 (pow.f64 (/.f64 (+.f64 2 beta) beta) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) -1) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 2 beta) beta) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) (-.f64 1 (/.f64 beta (+.f64 2 beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 2 beta) beta) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) -2) (/.f64 beta (+.f64 2 beta)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 1)
(*.f64 1 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1)
(*.f64 (E.f64) (/.f64 1 (exp.f64 (/.f64 alpha (+.f64 2 alpha)))))
(*.f64 (E.f64) (exp.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 2) (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(/.f64 1 (/.f64 (exp.f64 (/.f64 alpha (+.f64 2 alpha))) (E.f64)))
(/.f64 (E.f64) (exp.f64 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (/.f64 alpha (+.f64 2 alpha)))))
(pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1)
(pow.f64 (E.f64) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/2 beta))
(fma.f64 -1/4 (pow.f64 beta 2) (*.f64 1/2 beta))
(fma.f64 1/2 beta (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/2 beta (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (*.f64 1/8 (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 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.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 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(/.f64 2 beta)
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
1
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
1
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/2 beta)))
(+.f64 (fma.f64 -1/4 (pow.f64 beta 2) (*.f64 1/2 beta)) 1)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (fma.f64 1/2 beta 1))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(+.f64 (fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 1/2 beta))) 1)
(+.f64 (fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/2 beta (*.f64 1/8 (pow.f64 beta 3)))) 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 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
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 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
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 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/2 alpha)))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/2 alpha 1) (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (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 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (.f64 1/2 alpha))
(fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 1/2 alpha))
(fma.f64 1/2 alpha (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 1/2 alpha)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 1/2 alpha))))
(fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 1/2 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 1 (/.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 1 (/.f64 2 alpha))) (/.f64 8 (pow.f64 alpha 3)))
(+.f64 1 (+.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha)))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 1 (/.f64 2 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 1 (/.f64 2 alpha))) (/.f64 8 (pow.f64 alpha 3)))
(+.f64 1 (+.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha)))
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 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/2 alpha)))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/2 alpha 1) (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (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 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
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 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/2 alpha)))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/2 alpha 1) (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (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 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))
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(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 3)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) 1/3)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 2)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha))) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 alpha (/.f64 1 (+.f64 2 alpha)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(.f64 (pow.f64 (cbrt.f64 alpha) 2) (.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))) 2))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(.f64 (sqrt.f64 alpha) (.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))) (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 -2 (neg.f64 alpha))))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) alpha)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 alpha))) (/.f64 alpha (sqrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 alpha)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 2 alpha))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 alpha))) (/.f64 alpha (sqrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 alpha)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 2 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (-.f64 4 (.f64 2 alpha))))
(.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (+.f64 4 (.f64 -2 alpha))))
(.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (+.f64 4 (.f64 alpha -2))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 alpha))) 3)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 alpha))) 2)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(pow.f64 (/.f64 (+.f64 2 alpha) alpha) -1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 -2 (neg.f64 alpha))))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 2))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 alpha)) 3))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 alpha))) 1))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 0)
(/.f64 alpha (+.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 1)
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 1 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1)
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (E.f64) (/.f64 1 (exp.f64 (/.f64 alpha (+.f64 2 alpha)))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (E.f64) (exp.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 2))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 2) (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 1 (/.f64 (exp.f64 (/.f64 alpha (+.f64 2 alpha))) (E.f64)))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (E.f64) (exp.f64 (/.f64 alpha (+.f64 2 alpha))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (/.f64 alpha (+.f64 2 alpha)))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1)
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (E.f64) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 3)
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 3) 1/3)
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 2)
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 2))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(log.f64 (exp.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 3))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))

eval217.0ms (3.1%)

Compiler: Compiled 7674 to 6272 computations (18.3% saved)

prune126.0ms (1.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	466	1	467
Fresh	0	3	3
Picked	0	5	5
Done	0	4	4
Total	466	13	479

Accuracy

100.0%

Counts

479 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	6.5%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	26.5%	(/.f64 (/.f64 2 alpha) 2)
✓	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	46.4%	(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
▶	44.8%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	48.1%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
▶	48.1%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.9%	(/.f64 2 2)
✓	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	6.5%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	26.5%	(/.f64 (/.f64 2 alpha) 2)
✓	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	46.4%	(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
▶	44.8%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	48.1%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
▶	48.1%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.9%	(/.f64 2 2)

Compiler

Compiled 268 to 224 computations (16.4% saved)

localize186.0ms (2.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	100.0%	(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
✓	96.9%	(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
✓	67.7%	(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))

Compiler

Compiled 97 to 67 computations (30.9% saved)

series4.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
0.0ms	alpha	@	-inf	(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
0.0ms	alpha	@	inf	(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
0.0ms	alpha	@	0	(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
0.0ms	alpha	@	inf	(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))

rewrite105.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`log1p-expm1-u`
726×	`prod-diff`
670×	`expm1-log1p-u`
362×	`expm1-udef`
362×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	244	86
2	3604	86

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1156×	`unswap-sqr`
776×	`distribute-lft-in`
764×	`distribute-rgt-in`
420×	`cancel-sign-sub-inv`
376×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	5073
1	822	4510
2	2901	4497

Stop Event

1×	node limit

Counts

174 → 231

Calls

Call 1

Inputs
(*.f64 -1/2 alpha)
(+.f64 (.f64 -1/2 alpha) (.f64 1/8 (pow.f64 alpha 2)))
(+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/24 (pow.f64 alpha 3)) (*.f64 1/8 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/24 (pow.f64 alpha 3)) (+.f64 (.f64 1/64 (pow.f64 alpha 4)) (.f64 1/8 (pow.f64 alpha 2)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)) (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))))))
(exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (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 -1/8 (pow.f64 alpha 3)) (+.f64 (.f64 1/16 (pow.f64 alpha 4)) (.f64 1/4 (pow.f64 alpha 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(-.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(-.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(+.f64 0 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))) 1)
(*.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)
(*.f64 1 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 2))
(log.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2) (/.f64 alpha (+.f64 alpha -2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))) (sqrt.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha -2)) 1) 1)
(-.f64 0 (/.f64 alpha (+.f64 alpha -2)))
(-.f64 (/.f64 0 (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha -2)))
(*.f64 alpha (/.f64 -1 (+.f64 alpha -2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha -2)))
(.f64 (pow.f64 (cbrt.f64 alpha) 2) (.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(.f64 (sqrt.f64 alpha) (.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 alpha -2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 -1 (+.f64 alpha -2)) alpha)
(*.f64 -1 (/.f64 alpha (+.f64 alpha -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (+.f64 4 (.f64 alpha 2))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha -2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha -2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha -2))) 2)
(pow.f64 (/.f64 (+.f64 alpha -2) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha -2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1 (/.f64 beta alpha)))) 1)
(.f64 (.f64 2 beta) (/.f64 1 (*.f64 alpha 2)))
(.f64 (.f64 2 beta) (*.f64 (/.f64 1 alpha) 1/2))
(.f64 (.f64 2 (/.f64 beta alpha)) 1/2)
(.f64 (.f64 2 (/.f64 beta alpha)) -1/2)
(.f64 (.f64 1 (/.f64 beta alpha)) 1)
(.f64 1 (.f64 1 (/.f64 beta alpha)))
(*.f64 1 (/.f64 beta alpha))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 alpha beta))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 alpha beta))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 alpha beta))) 2) (/.f64 1 (cbrt.f64 (/.f64 alpha beta))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 beta alpha))) 2) (.f64 (cbrt.f64 (.f64 2 (/.f64 beta alpha))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha beta))) (/.f64 1 (sqrt.f64 (/.f64 alpha beta))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 beta alpha))) (.f64 (sqrt.f64 (.f64 2 (/.f64 beta alpha))) 1/2))
(.f64 1/2 (.f64 2 (/.f64 beta alpha)))
(*.f64 (/.f64 beta 2) (/.f64 2 alpha))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 beta)) 2) 2) (/.f64 (cbrt.f64 (*.f64 2 beta)) alpha))
(.f64 (/.f64 (sqrt.f64 (.f64 2 beta)) 2) (/.f64 (sqrt.f64 (*.f64 2 beta)) alpha))
(pow.f64 (*.f64 1 (/.f64 beta alpha)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (*.f64 1 (/.f64 beta alpha)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha beta))) 2)
(pow.f64 (/.f64 alpha beta) -1)
(neg.f64 (*.f64 1 (/.f64 beta alpha)))
(sqrt.f64 (pow.f64 (*.f64 1 (/.f64 beta alpha)) 2))
(log.f64 (exp.f64 (*.f64 1 (/.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1 (/.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (*.f64 1 (/.f64 beta alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 1 (/.f64 beta alpha))))
(exp.f64 (neg.f64 (log.f64 (/.f64 alpha beta))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 alpha beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 1 (/.f64 beta alpha))))

Outputs
(*.f64 -1/2 alpha)
(+.f64 (.f64 -1/2 alpha) (.f64 1/8 (pow.f64 alpha 2)))
(fma.f64 -1/2 alpha (*.f64 1/8 (pow.f64 alpha 2)))
(.f64 alpha (+.f64 -1/2 (.f64 alpha 1/8)))
(+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/24 (pow.f64 alpha 3)) (*.f64 1/8 (pow.f64 alpha 2))))
(fma.f64 -1/2 alpha (fma.f64 -1/24 (pow.f64 alpha 3) (*.f64 1/8 (pow.f64 alpha 2))))
(fma.f64 -1/2 alpha (fma.f64 1/8 (pow.f64 alpha 2) (*.f64 -1/24 (pow.f64 alpha 3))))
(fma.f64 -1/2 alpha (.f64 (pow.f64 alpha 2) (+.f64 (.f64 alpha -1/24) 1/8)))
(+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/24 (pow.f64 alpha 3)) (+.f64 (.f64 1/64 (pow.f64 alpha 4)) (.f64 1/8 (pow.f64 alpha 2)))))
(fma.f64 -1/2 alpha (fma.f64 -1/24 (pow.f64 alpha 3) (fma.f64 1/64 (pow.f64 alpha 4) (*.f64 1/8 (pow.f64 alpha 2)))))
(fma.f64 -1/2 alpha (fma.f64 -1/24 (pow.f64 alpha 3) (fma.f64 1/8 (pow.f64 alpha 2) (*.f64 1/64 (pow.f64 alpha 4)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))
(-.f64 (log.f64 2) (log.f64 alpha))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 alpha)))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (/.f64 -2 alpha))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 (pow.f64 alpha 2)))) (/.f64 2 alpha))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (log.f64 alpha)) (/.f64 -2 alpha)))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (+.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 -2 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 (pow.f64 alpha 2))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (log.f64 alpha)) (/.f64 -2 alpha)) (/.f64 8/3 (pow.f64 alpha 3))))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (+.f64 (/.f64 2 (pow.f64 alpha 2)) (-.f64 (/.f64 -2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha)))
(+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 -2) (-.f64 (+.f64 (/.f64 2 (pow.f64 alpha 2)) (log.f64 (/.f64 -1 alpha))) (/.f64 2 alpha)))
(+.f64 (log.f64 -2) (+.f64 (/.f64 2 (pow.f64 alpha 2)) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha))))
(+.f64 (log.f64 -2) (+.f64 (/.f64 2 (pow.f64 alpha 2)) (+.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 -2 alpha))))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 8/3 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (log.f64 -2) (-.f64 (+.f64 (/.f64 2 (pow.f64 alpha 2)) (log.f64 (/.f64 -1 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (/.f64 2 (pow.f64 alpha 2)) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha)))) (/.f64 8/3 (pow.f64 alpha 3)))
(+.f64 (log.f64 -2) (+.f64 (/.f64 2 (pow.f64 alpha 2)) (+.f64 (log.f64 (/.f64 -1 alpha)) (-.f64 (/.f64 -2 alpha) (/.f64 8/3 (pow.f64 alpha 3))))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 (*.f64 -1/2 alpha) 1)
(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 (pow.f64 alpha 2) 1/4)))
(+.f64 1 (.f64 alpha (+.f64 -1/2 (.f64 alpha 1/4))))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 2) 1/4))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 (pow.f64 alpha 3) -1/8 (*.f64 (pow.f64 alpha 2) 1/4))))
(+.f64 (fma.f64 -1/2 alpha 1) (.f64 (pow.f64 alpha 2) (+.f64 1/4 (.f64 alpha -1/8))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))))
(exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha))))
(/.f64 2 alpha)
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))
(fma.f64 (/.f64 2 (pow.f64 alpha 2)) -2 (/.f64 2 alpha))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)) (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (/.f64 2 alpha) (fma.f64 (/.f64 2 (pow.f64 alpha 2)) -2 (*.f64 (/.f64 4 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(+.f64 (/.f64 2 alpha) (fma.f64 4 (/.f64 (/.f64 2 alpha) (pow.f64 alpha 2)) (*.f64 (/.f64 2 (pow.f64 alpha 2)) -2)))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (fma.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 2 alpha) (fma.f64 -8 (/.f64 (/.f64 2 alpha) (pow.f64 alpha 3)) (fma.f64 (/.f64 2 (pow.f64 alpha 2)) -2 (*.f64 (/.f64 4 alpha) (/.f64 2 (pow.f64 alpha 2))))))
(+.f64 (/.f64 2 alpha) (fma.f64 -8 (/.f64 (/.f64 2 alpha) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (/.f64 2 alpha) (pow.f64 alpha 2)) (*.f64 (/.f64 2 (pow.f64 alpha 2)) -2))))
(exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))
(*.f64 -2 (/.f64 -1 alpha))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)))
(fma.f64 -2 (/.f64 -1 alpha) (/.f64 (*.f64 4 (/.f64 -1 alpha)) alpha))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 -2 (/.f64 -1 alpha) (/.f64 (.f64 4 (/.f64 -1 alpha)) alpha)) (/.f64 (.f64 -8 (/.f64 -1 alpha)) (pow.f64 alpha 2)))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2))))))
(+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (fma.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha) (*.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 (.f64 4 (/.f64 -1 alpha)) alpha) (/.f64 (.f64 -8 (/.f64 -1 alpha)) (pow.f64 alpha 2))) (fma.f64 -2 (/.f64 -1 alpha) (/.f64 (*.f64 16 (/.f64 -1 alpha)) (pow.f64 alpha 3))))
(*.f64 -1/2 alpha)
(+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/2 alpha (*.f64 (pow.f64 alpha 2) 1/4))
(.f64 alpha (+.f64 -1/2 (.f64 alpha 1/4)))
(+.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 (pow.f64 alpha 2) 1/4)))
(fma.f64 -1/2 alpha (fma.f64 (pow.f64 alpha 3) -1/8 (*.f64 (pow.f64 alpha 2) 1/4)))
(fma.f64 -1/2 alpha (.f64 (pow.f64 alpha 2) (+.f64 1/4 (.f64 alpha -1/8))))
(+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (.f64 1/16 (pow.f64 alpha 4)) (.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 1/16 (pow.f64 alpha 4) (*.f64 (pow.f64 alpha 2) 1/4))))
(fma.f64 -1/2 alpha (fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 4) 1/16))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(+.f64 (/.f64 2 alpha) -1)
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eval82.0ms (1.2%)

Compiler: Compiled 3598 to 2871 computations (20.2% saved)

prune48.0ms (0.7%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	228	3	231
Fresh	0	0	0
Picked	1	3	4
Done	0	9	9
Total	229	15	244

Accuracy

100.0%

Counts

244 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	26.5%	(/.f64 (/.f64 2 alpha) 2)
✓	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	48.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	46.4%	(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
✓	74.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
✓	74.0%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
✓	44.8%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	3.8%	(/.f64 (neg.f64 beta) alpha)
✓	48.1%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	48.1%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
	6.5%	(/.f64 beta alpha)
✓	38.9%	(/.f64 2 2)
	48.2%	(/.f64 1 2)

Compiler

Compiled 322 to 252 computations (21.7% saved)

regimes105.0ms (1.5%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (neg.f64 beta) alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)

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

Calls

5 calls:

33.0ms	beta
32.0ms	alpha
15.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
77.1%	3	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 226 to 166 computations (26.5% saved)

regimes30.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (neg.f64 beta) alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)

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

Calls

3 calls:

12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 192 to 144 computations (25% saved)

regimes28.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

alpha

Results

Accuracy	Segments	Branch
94.1%	2	`alpha`

Compiler

Compiled 94 to 75 computations (20.2% saved)

regimes26.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

alpha

Results

Accuracy	Segments	Branch
91.4%	2	`alpha`

Compiler

Compiled 74 to 59 computations (20.3% saved)

regimes54.0ms (0.8%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	beta
25.0ms	alpha

Results

Accuracy	Segments	Branch
75.5%	4	`beta`
72.4%	3	`alpha`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes24.0ms (0.3%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

beta

Results

Accuracy	Segments	Branch
75.0%	4	`beta`

Compiler

Compiled 42 to 34 computations (19% saved)

regimes20.0ms (0.3%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
74.4%	4	`beta`

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes11.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
72.0%	2	`beta`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 2)

Outputs
(/.f64 1 2)

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
48.2%	1	`alpha`
48.2%	1	`beta`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9833376091602047

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9833376091602047

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.216498111990618e+23	1.4528380962692707e+25

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 188 to 155 computations (17.6% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.216498111990618e+23	1.4528380962692707e+25

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 160 to 134 computations (16.3% saved)

bsearch57.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.1863166137674444e-8	54.92468861229749
26.0ms	-2.5289525845962918e-266	-1.409605996417084e-277
7.0ms	-4.1997163055051176e-207	-2.9368560970102335e-207

Results

29.0ms	263×	body	256	valid
16.0ms	56×	body	1024	valid
5.0ms	28×	body	512	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 434 to 385 computations (11.3% saved)

bsearch65.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.1863166137674444e-8	54.92468861229749
32.0ms	-2.5289525845962918e-266	-1.409605996417084e-277
7.0ms	-4.1997163055051176e-207	-2.9368560970102335e-207

Results

33.0ms	259×	body	256	valid
17.0ms	58×	body	1024	valid
5.0ms	30×	body	512	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 398 to 358 computations (10.1% saved)

bsearch73.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	3.1863166137674444e-8	54.92468861229749
28.0ms	-2.5289525845962918e-266	-1.409605996417084e-277
7.0ms	-4.1997163055051176e-207	-2.9368560970102335e-207

Results

34.0ms	62×	body	1024	valid
28.0ms	253×	body	256	valid
5.0ms	30×	body	512	valid
2.0ms	7×	body	2048	valid

Compiler

Compiled 310 to 292 computations (5.8% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.1863166137674444e-8	54.92468861229749

Results

12.0ms	102×	body	256	valid
6.0ms	26×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
10×	`sub-neg`
10×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	670
1	89	670
2	97	670
3	103	670
4	107	670
5	108	670

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 330000000000000029360128) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 880000000000000033554432) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -2976938146854937/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -7260824748426675/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 1 2) (if (<=.f64 beta -3557804126729071/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 330000000000000029360128) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 330000000000000029360128) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 880000000000000033554432) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 880000000000000033554432) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -2976938146854937/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -2976938146854937/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -7260824748426675/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -7260824748426675/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 1 2) (if (<=.f64 beta -3557804126729071/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -2168842720287911/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) 1/2 (if (<=.f64 beta -3557804126729071/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 223 to 173 computations (22.4% saved)

soundness1.2s (17.5%)

Rules

1966×	`fma-def`
1966×	`fma-def`
1966×	`fma-def`
1434×	`sub-neg`
1312×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	367
1	89	359
2	199	351
3	536	343
4	1567	343
5	4659	343
6	7229	343
0	14	80
1	199	80
2	3149	80
0	386	9396
1	1140	9042
2	4296	8889
0	1135	44347
1	3506	42431
0	1135	44347
1	3506	42431
0	1135	44347
1	3506	42431

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 389 to 258 computations (33.7% saved)

end0.0ms (0%)

preprocess191.0ms (2.8%)

Compiler: Compiled 444 to 332 computations (25.2% saved)

analyze0.0ms (0%)

sample1.3s (19%)

preprocess153.0ms (2.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize69.0ms (1%)

series8.0ms (0.1%)

rewrite131.0ms (1.9%)

simplify125.0ms (1.8%)

eval147.0ms (2.1%)

prune51.0ms (0.7%)

localize369.0ms (5.3%)

series32.0ms (0.5%)

rewrite180.0ms (2.6%)

simplify317.0ms (4.6%)

eval448.0ms (6.5%)

prune129.0ms (1.9%)

localize305.0ms (4.4%)

series4.0ms (0.1%)

rewrite133.0ms (1.9%)

simplify186.0ms (2.7%)

eval217.0ms (3.1%)

prune126.0ms (1.8%)

localize186.0ms (2.7%)

series4.0ms (0.1%)

rewrite105.0ms (1.5%)

simplify82.0ms (1.2%)

eval82.0ms (1.2%)

prune48.0ms (0.7%)

regimes105.0ms (1.5%)

regimes30.0ms (0.4%)

regimes28.0ms (0.4%)

regimes26.0ms (0.4%)

regimes54.0ms (0.8%)

regimes24.0ms (0.3%)

regimes20.0ms (0.3%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch57.0ms (0.8%)

bsearch65.0ms (0.9%)

bsearch73.0ms (1.1%)

bsearch22.0ms (0.3%)

simplify16.0ms (0.2%)

soundness1.2s (17.5%)

end0.0ms (0%)

preprocess191.0ms (2.8%)

Profiling