Metrics for Octave 3.8, jcobi/1

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival->: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.4s (17.8%)

Results

616.0ms	6009×	0	valid
389.0ms	1886×	1	valid
94.0ms	361×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 652.0ms

ival-div: 217.0ms (33.3% of total)

ival-add: 185.0ms (28.4% of total)

ival-sub: 86.0ms (13.2% of total)

backward-pass: 65.0ms (10% of total)

ival->: 63.0ms (9.7% of total)

const: 18.0ms (2.8% of total)

ival-and: 17.0ms (2.6% of total)

Bogosity

preprocess204.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1988×	`sum3-define`
1844×	`sum5-define`
1648×	`fmsub-define`
1634×	`sum5-define`
1506×	`fmm-def`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	80
1	91	78
2	202	78
3	608	76
4	1764	76
5	5483	76
0	10	12
1	23	12
2	41	12
3	74	12
4	142	12
5	355	12
6	943	12
7	1782	11
8	3813	11
9	7625	11
0	8029	11

Stop Event

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

Calls

Call 1

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

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))

Call 2

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

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(/ (+ (/ (- beta alpha) (sum3 beta alpha 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(+ (/ (+ beta alpha) (* 2 (sum3 beta 2 (neg alpha)))) 1/2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(+ (/ (+ beta alpha) (+ -4 (* 2 (- beta alpha)))) 1/2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (* 2 (sum3 alpha (neg beta) -2))))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (+ 4 (* 2 (- alpha beta)))))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
(+ (/ (/ (- alpha beta) (sum3 beta alpha 2)) 2) 1/2)

explain410.0ms (5.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	-	`(-.f64 beta alpha)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	-	`alpha`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`beta`

Results

305.0ms	364×	0	valid
43.0ms	128×	1	valid
11.0ms	20×	2	valid

Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-div: 261.0ms (91.2% of total)

ival-add: 10.0ms (3.5% of total)

backward-pass: 9.0ms (3.1% of total)

ival-sub: 5.0ms (1.7% of total)

const: 1.0ms (0.3% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify188.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 beta alpha)
✓	cost-diff	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	cost-diff	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

1844×	`sum5-define`
1648×	`fmsub-define`
1506×	`fmm-def`
1298×	`fma-lowering-fma.f32`
1298×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	23	44
2	41	44
3	74	44
4	142	44
5	355	44
6	943	44
7	1782	43
8	3813	43
9	7625	43
0	8029	43

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))
(/ (- beta alpha) (+ (+ alpha beta) 2))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 beta alpha)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)

localize67.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	72.6%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

26.0ms	182×	0	valid
25.0ms	64×	1	valid
4.0ms	10×	2	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

backward-pass: 9.0ms (38.4% of total)

ival-div: 5.0ms (21.3% of total)

ival-add: 5.0ms (21.3% of total)

ival-sub: 4.0ms (17.1% of total)

const: 1.0ms (4.3% of total)

series13.0ms (0.2%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>

Calls

36 calls:

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

rewrite261.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2130×	`-lowering-.f32`
2130×	`-lowering-.f64`
1482×	`+-lowering-+.f64`
1482×	`+-lowering-+.f32`
1406×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	39	40
2	138	40
3	714	39
4	5020	39
0	8100	39

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 529

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (-.f64 (/.f64 alpha (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (/.f64 alpha (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 (/.f64 alpha (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64))) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 beta (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 4 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
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(+.f64 (-.f64 alpha #s(literal 0 binary64)) (+.f64 beta #s(literal 2 binary64)))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 beta (-.f64 #s(literal -2 binary64) alpha))
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta))
(-.f64 alpha (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta alpha) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(-.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) beta))
(-.f64 (/.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal -1 binary64)) (/.f64 alpha #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) (/.f64 beta #s(literal -1 binary64)))
(-.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(fma.f64 beta #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 alpha #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 alpha #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) beta (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 beta alpha) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)) alpha)
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) beta) (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta) alpha)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha #s(literal -1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 beta #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(pow.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))

simplify281.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2810×	`+-lowering-+.f64`
2810×	`+-lowering-+.f32`
2660×	`-lowering-.f32`
2660×	`-lowering-.f64`
1798×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	2427
1	1518	2169
2	5632	2118
0	8150	2118

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) beta) (-.f64 (.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (.f64 beta (.f64 beta beta))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
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(-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (-.f64 (.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (.f64 beta beta)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (.f64 beta (.f64 beta beta))) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha (-.f64 (.f64 alpha (+.f64 (.f64 alpha (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(+.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha alpha)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha)))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) alpha)))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))

eval132.0ms (1.6%)

Compiler: Compiled 15840 to 2386 computations (84.9% saved)

prune86.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	667	6	673
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	667	7	674

Accuracy

99.9%

Counts

674 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	72.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	72.6%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	31.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	72.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
▶	39.5%	#s(literal 1 binary64)

Compiler

Compiled 147 to 102 computations (30.6% saved)

simplify192.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 alpha #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	cost-diff	0	(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

1938×	`sum3-define`
1798×	`fmsub-define`
1714×	`fma-lowering-fma.f32`
1714×	`fma-lowering-fma.f64`
1424×	`fmm-def`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	41	119
2	74	118
3	157	117
4	332	117
5	679	117
6	1334	117
7	2551	117
8	5547	116
0	8376	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
beta
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
alpha
2
#s(literal 2 binary64)
(- beta alpha)
(-.f64 beta alpha)
1
#s(literal 1 binary64)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
alpha
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64))
(+ (/ beta (+ 2 beta)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(-.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64)))))
(- 1 (/ alpha (+ alpha 2)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
1
#s(literal 1 binary64)
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize163.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	65.1%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓	accuracy	72.6%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))

Results

56.0ms	84×	1	valid
53.0ms	162×	0	valid
9.0ms	10×	2	valid

Compiler

Compiled 132 to 21 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 19.0ms (43.2% of total)

ival-add: 13.0ms (29.6% of total)

backward-pass: 7.0ms (15.9% of total)

ival-sub: 4.0ms (9.1% of total)

const: 1.0ms (2.3% of total)

series123.0ms (1.5%)

Counts

14 → 228

Calls

Call 1

Inputs
#<alt (/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)>
#<alt (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)>
#<alt (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))>
#<alt (/ (+ beta (+ alpha 2)) (- beta alpha))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (+ 1 beta)>
#<alt (/ (+ (/ beta (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (- 1 (/ alpha (+ alpha 2))) 2)>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 (/ (+ 2 alpha) alpha))>
#<alt (+ (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha)))>
#<alt (+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))>
#<alt (+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 4)))))) (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))>
#<alt 1>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2))))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) (pow beta 3))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (+ (* alpha (- (+ 2 alpha) (* -1 alpha))) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) beta)) beta))) beta)))>
#<alt (/ (+ 2 beta) beta)>
#<alt (+ 1 (+ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt (+ 1 (+ (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt (+ 1 (+ (* alpha (- (+ (* alpha (- (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (pow beta 2)) (* -1 (/ (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2)))) beta)))) (/ 1 beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt -1>
#<alt (- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (/ beta alpha))))>
#<alt -1>
#<alt (- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ beta (/ (* beta (- (+ 2 beta) (* -1 beta))) alpha))) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (+ 2 beta) (* -1 beta))) alpha)) (* beta (- (+ 2 beta) (* -1 beta)))) alpha)))) (* -1 beta)) alpha)) 1)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 (* -1/2 alpha))>
#<alt (+ 1 (* alpha (- (* 1/4 alpha) 1/2)))>
#<alt (+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))>
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>

Calls

57 calls:

Time	Variable		Point	Expression
111.0ms	alpha	@	0	(/ (+ beta (+ alpha 2)) (- beta alpha))
1.0ms	alpha	@	inf	(/ (+ beta (+ alpha 2)) (- beta alpha))
1.0ms	beta	@	-inf	(/ (+ beta (+ alpha 2)) (- beta alpha))
0.0ms	beta	@	0	(/ (+ beta (+ alpha 2)) (- beta alpha))
0.0ms	beta	@	inf	(/ (+ beta (+ alpha 2)) (- beta alpha))

rewrite263.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2412×	`-lowering-.f32`
2412×	`-lowering-.f64`
2198×	`+-lowering-+.f64`
2198×	`+-lowering-+.f32`
1712×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	92	94
2	397	94
3	1780	91
4	6597	91
0	8600	91

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 610

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+.f64 (.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -2 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) #s(literal -2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1 binary64)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1 binary64)))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) beta (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (-.f64 alpha beta) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal -1 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) alpha (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) beta (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (-.f64 #s(literal 0 binary64) beta) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) alpha (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (fma.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
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(fma.f64 #s(literal 1 binary64) alpha #s(literal 2 binary64))
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(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64))
(pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
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(*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64))

simplify564.0ms (7%)

Algorithm

1×	egg-herbie

Rules

4222×	`+-lowering-+.f64`
4222×	`+-lowering-+.f32`
3618×	`-lowering-.f32`
3618×	`-lowering-.f64`
1580×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	696	3432
1	2425	2937
0	8428	2937

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) beta) (+.f64 (-.f64 (.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (+.f64 alpha alpha))))) (.f64 beta (*.f64 beta beta))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (+.f64 alpha alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) beta)) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (+.f64 alpha alpha))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha))))) beta))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 8 binary64) (.f64 beta (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha #s(literal 1/8 binary64)))))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 #s(literal 8 binary64) (.f64 alpha (.f64 alpha alpha)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)) alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(+.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/2 binary64)))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 1/4 binary64)))))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 #s(literal -1/2 binary64) (.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/8 binary64)))))))
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha) (/.f64 #s(literal 16 binary64) (.f64 alpha (.f64 alpha alpha))))) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* 1/2 alpha)
(*.f64 #s(literal 1/2 binary64) alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(.f64 alpha (+.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal -1/4 binary64))))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(.f64 alpha (+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64))))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(.f64 alpha (+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha (+.f64 #s(literal 1/8 binary64) (.f64 alpha #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 #s(literal 8 binary64) (.f64 alpha (.f64 alpha alpha))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))

eval187.0ms (2.3%)

Compiler: Compiled 15246 to 2680 computations (82.4% saved)

prune134.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	861	10	871
Fresh	1	0	1
Picked	1	4	5
Done	1	0	1
Total	864	14	878

Accuracy

99.9%

Counts

878 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	37.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	31.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	8.6%	(/.f64 beta alpha)
▶	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
	26.7%	(/.f64 #s(literal 1 binary64) alpha)
▶	31.4%	(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
	33.6%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
	33.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
▶	41.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	43.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	39.5%	#s(literal 1 binary64)
▶	45.0%	#s(literal 1/2 binary64)

Compiler

Compiled 196 to 146 computations (25.5% saved)

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) alpha)
✓	cost-diff	0	(/.f64 beta alpha)
✓	cost-diff	128	(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
✓	cost-diff	0	(*.f64 beta #s(literal 1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓	cost-diff	0	(/.f64 beta alpha)
✓	cost-diff	0	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))

Rules

1584×	`fnmadd-define`
1318×	`sum3-define`
1124×	`fma-define`
868×	`fnmsub-define`
856×	`fmsub-define`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	28	68
2	46	66
3	63	66
4	78	66
5	117	66
6	191	66
7	318	66
8	573	66
9	1117	65
10	2871	65
11	4121	65
12	4729	65
13	4869	65
14	5006	65
15	5074	65
16	5121	65
17	5146	65
0	5146	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ 1 (/ 2 (+ 1 (/ beta (+ beta 2)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) beta)))
1
#s(literal 1 binary64)
(/ 2 (+ 1 (/ beta (+ beta 2))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
2
#s(literal 2 binary64)
(+ 1 (/ beta (+ beta 2)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(/ beta (+ beta 2))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+ beta 2)
(+.f64 #s(literal 2 binary64) beta)
1/2
#s(literal 1/2 binary64)
(/ beta alpha)
(/.f64 beta alpha)
beta
alpha
(+ 1/2 (* beta 1/4))
(-.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* beta 1/4)
(*.f64 beta #s(literal 1/4 binary64))
beta
1/4
#s(literal 1/4 binary64)
(- (/ beta alpha) (/ -1 alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
beta
alpha
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
-1
#s(literal -1 binary64)

localize106.0ms (1.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) alpha)
✓	accuracy	100.0%	(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 beta #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))

Results

85.0ms

256×

valid

Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 9.0ms (52.7% of total)

ival-add: 4.0ms (23.4% of total)

ival-mult: 2.0ms (11.7% of total)

ival-sub: 1.0ms (5.9% of total)

const: 1.0ms (5.9% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

9 → 132

Calls

Call 1

Inputs
#<alt (/ 1 (/ 2 (+ 1 (/ beta (+ beta 2)))))>
#<alt (/ 2 (+ 1 (/ beta (+ beta 2))))>
#<alt (+ 1 (/ beta (+ beta 2)))>
#<alt (/ beta (+ beta 2))>
#<alt (/ beta alpha)>
#<alt (+ 1/2 (* beta 1/4))>
#<alt (* beta 1/4)>
#<alt (- (/ beta alpha) (/ -1 alpha))>
#<alt (/ -1 alpha)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 (* -1 beta))>
#<alt (+ 2 (* beta (- beta 1)))>
#<alt (+ 2 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))>
#<alt 1>
#<alt (+ 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 1 beta)) (/ 1 (pow beta 2)))>
#<alt (- (+ 1 (+ (/ 1 beta) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))>
#<alt 1>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- (/ 1 beta) 1) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (* 1/4 beta)>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* 1/4 beta)>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>

Calls

33 calls:

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

rewrite236.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`-lowering-.f32`
1730×	`-lowering-.f64`
1586×	`/-lowering-/.f32`
1586×	`/-lowering-/.f64`
1104×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	68	48
2	327	47
3	1682	47
4	7896	47
0	8400	47

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 442

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(-.f64 (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 beta #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) beta #s(literal 1/2 binary64))
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1/2 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(/.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) beta #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 0 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))))
(-.f64 #s(literal 0 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal 0 binary64) beta))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (+.f64 #s(literal 2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal -2 binary64) beta)) (.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))
(*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) beta))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)))
(*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(+.f64 (/.f64 beta alpha) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 beta alpha))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 #s(literal -1 binary64) alpha))
(+.f64 (*.f64 #s(literal 0 binary64) beta) (/.f64 beta alpha))
(+.f64 (*.f64 beta #s(literal 0 binary64)) (/.f64 beta alpha))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 alpha beta))))
(-.f64 #s(literal 0 binary64) (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)) #s(literal 0 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 #s(literal 1 binary64) alpha))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta)))) (/.f64 alpha (-.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) beta)) (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta))) (/.f64 (-.f64 #s(literal 0 binary64) alpha) (.f64 alpha (/.f64 alpha beta))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta alpha) #s(literal 0 binary64))
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) #s(literal 0 binary64))
(fma.f64 (/.f64 beta alpha) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) alpha) (-.f64 #s(literal 0 binary64) beta) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta #s(literal 0 binary64))
(fma.f64 (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)))
(neg.f64 (/.f64 alpha (-.f64 #s(literal 0 binary64) (*.f64 alpha (/.f64 alpha beta)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 alpha (/.f64 alpha beta))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 beta (.f64 alpha alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha (/.f64 alpha beta))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) alpha)))
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(/.f64 (-.f64 (.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) alpha)) alpha) (.f64 alpha alpha)) (/.f64 alpha (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(/.f64 (-.f64 (.f64 beta (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (.f64 alpha alpha)) (/.f64 alpha (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(/.f64 (-.f64 (.f64 beta (.f64 alpha alpha)) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (.f64 alpha (.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta))) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta))) (-.f64 #s(literal 0 binary64) (*.f64 alpha (/.f64 alpha beta)))))
(/.f64 (-.f64 (.f64 alpha (.f64 alpha (/.f64 alpha beta))) (.f64 (.f64 alpha (/.f64 alpha beta)) (/.f64 alpha (-.f64 #s(literal 0 binary64) beta)))) (.f64 (.f64 alpha (/.f64 alpha beta)) (*.f64 alpha (/.f64 alpha beta))))
(/.f64 (.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 (.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) beta)) #s(literal -1 binary64)) (*.f64 alpha alpha))
(/.f64 (neg.f64 (-.f64 (.f64 beta (.f64 alpha (.f64 alpha alpha))) (/.f64 alpha (/.f64 #s(literal -1 binary64) (.f64 alpha alpha))))) (neg.f64 (.f64 alpha (.f64 alpha (*.f64 alpha alpha)))))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) alpha) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)) (/.f64 alpha (-.f64 #s(literal 0 binary64) beta)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) (/.f64 alpha (-.f64 #s(literal 0 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 beta (.f64 alpha (.f64 alpha alpha))) (/.f64 alpha (/.f64 #s(literal -1 binary64) (.f64 alpha alpha))))) (.f64 alpha (.f64 alpha (.f64 alpha alpha))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha beta))) alpha)
(/.f64 (.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 alpha (/.f64 alpha beta))))
(/.f64 (.f64 (+.f64 alpha (/.f64 alpha beta)) #s(literal 1 binary64)) (.f64 alpha (/.f64 alpha beta)))
(/.f64 (.f64 (-.f64 (.f64 beta (.f64 alpha (.f64 alpha alpha))) (/.f64 alpha (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)))) #s(literal 1 binary64)) (.f64 alpha (.f64 alpha (.f64 alpha alpha))))
(/.f64 (/.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) alpha) (/.f64 alpha (-.f64 #s(literal 0 binary64) beta)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 alpha (-.f64 #s(literal 0 binary64) beta)))
(/.f64 (/.f64 (-.f64 (.f64 beta (.f64 alpha (.f64 alpha alpha))) (/.f64 alpha (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)))) (.f64 alpha alpha)) (.f64 alpha alpha))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) #s(literal -1 binary64)) alpha)
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 alpha alpha)))
(.f64 alpha (-.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (-.f64 #s(literal -1 binary64) beta))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
(.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1 binary64))
(.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 beta (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta (.f64 alpha alpha)))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) alpha))
(.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (*.f64 alpha (+.f64 #s(literal 1 binary64) beta)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 beta (.f64 alpha (.f64 alpha alpha))) (/.f64 alpha (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha (.f64 alpha alpha)))))
(.f64 (/.f64 beta (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta)))
(.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) alpha))
(.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 alpha (/.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) #s(literal -1 binary64))
(.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) alpha) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)))
(.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) alpha) (/.f64 beta (-.f64 #s(literal 0 binary64) alpha)))
(.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 beta alpha))
(*.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (/.f64 beta alpha))
(.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha beta)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) alpha))
(.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (*.f64 alpha alpha)) (-.f64 #s(literal 0 binary64) beta))
(.f64 (/.f64 (.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) beta)
(.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (.f64 alpha alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta))
(+.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) alpha))
(+.f64 (-.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) alpha))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) alpha))))
(-.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) alpha))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -1 binary64) alpha))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64))
(fma.f64 alpha (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) alpha) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 alpha (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 #s(literal -1 binary64) alpha)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) alpha) (.f64 alpha alpha)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 alpha alpha) (/.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 (.f64 alpha alpha) alpha)) (.f64 alpha (.f64 alpha (*.f64 alpha alpha))))
(pow.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) alpha))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) alpha))
(.f64 alpha (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (-.f64 #s(literal 0 binary64) alpha))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) alpha)

simplify267.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2206×	`--lowering--.f32`
2206×	`--lowering--.f64`
2052×	`-lowering-.f32`
2052×	`-lowering-.f64`
1994×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	695
1	388	642
2	929	634
3	2462	607
4	7139	607
0	8185	607

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal -1/8 binary64)))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta (+.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 1/16 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 (* -1 beta))
(-.f64 #s(literal 2 binary64) beta)
(+ 2 (* beta (- beta 1)))
(+.f64 #s(literal 2 binary64) (*.f64 beta (+.f64 beta #s(literal -1 binary64))))
(+ 2 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
(+.f64 #s(literal 2 binary64) (.f64 beta (+.f64 #s(literal -1 binary64) (.f64 beta (-.f64 #s(literal 1 binary64) beta)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 1 beta)) (/ 1 (pow beta 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) beta))
(- (+ 1 (+ (/ 1 beta) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (* -1 (/ (- (/ 1 beta) 1) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (-.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal -1/8 binary64)))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta) #s(literal -2 binary64)) beta))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta) #s(literal -2 binary64)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (-.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal -1/8 binary64))))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal -1/4 binary64) (.f64 beta (+.f64 #s(literal 1/8 binary64) (.f64 beta #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta) #s(literal -2 binary64)) beta))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta) #s(literal -2 binary64)) beta))
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)

eval140.0ms (1.7%)

Compiler: Compiled 7430 to 1127 computations (84.8% saved)

prune103.0ms (1.3%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	689	2	691
Fresh	0	5	5
Picked	0	5	5
Done	0	4	4
Total	689	16	705

Accuracy

99.9%

Counts

705 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	37.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	31.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	8.6%	(/.f64 beta alpha)
✓	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
▶	33.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
▶	26.7%	(/.f64 #s(literal 1 binary64) alpha)
✓	31.4%	(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
	33.6%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
▶	33.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	41.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
▶	43.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
▶	8.6%	(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	39.5%	#s(literal 1 binary64)
✓	45.0%	#s(literal 1/2 binary64)

Compiler

Compiled 199 to 147 computations (26.1% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) alpha)
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))
✓	cost-diff	384	(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) beta)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(*.f64 alpha #s(literal -1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))

Rules

320×	`fma-lowering-fma.f32`
320×	`fma-lowering-fma.f64`
288×	`fnmsub-define`
288×	`fmsub-define`
288×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	33	53
2	52	52
3	85	52
4	199	51
5	345	51
6	551	51
7	728	51
8	965	51
9	1167	51
10	1276	51
11	1323	51
12	1351	51
13	1392	51
14	1416	51
15	1420	51
0	1420	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ 1/2 (* alpha -1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* alpha -1/4)
(*.f64 alpha #s(literal -1/4 binary64))
alpha
-1/4
#s(literal -1/4 binary64)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(+ 1 (/ -1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
-1
#s(literal -1 binary64)
beta
(/ 1 (+ 1 (/ 1 beta)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
beta
(* (/ -1 alpha) (/ -1 (/ 1 beta)))
(/.f64 beta alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
-1
#s(literal -1 binary64)
alpha
(/ -1 (/ 1 beta))
(-.f64 #s(literal 0 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta

localize229.0ms (2.8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) alpha)
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 alpha #s(literal -1/4 binary64))

Results

150.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 34.0ms (80.6% of total)

ival-add: 4.0ms (9.5% of total)

ival-mult: 4.0ms (9.5% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts

11 → 144

Calls

Call 1

Inputs
#<alt (+ 1/2 (* alpha -1/4))>
#<alt (* alpha -1/4)>
#<alt (/ 1 alpha)>
#<alt (+ 1 (/ -1 beta))>
#<alt (/ -1 beta)>
#<alt (/ 1 (+ 1 (/ 1 beta)))>
#<alt (+ 1 (/ 1 beta))>
#<alt (/ 1 beta)>
#<alt (* (/ -1 alpha) (/ -1 (/ 1 beta)))>
#<alt (/ -1 (/ 1 beta))>
#<alt (/ -1 alpha)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (* -1/4 alpha)>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* -1/4 alpha)>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ -1 beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 beta)))>
#<alt (* beta (+ 1 (* beta (- beta 1))))>
#<alt (* beta (+ 1 (* beta (- (* beta (+ 1 (* -1 beta))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 1 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 1 (pow beta 2))) (+ (/ 1 beta) (/ 1 (pow beta 3))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 beta)) beta))) beta)))>
#<alt (/ 1 beta)>
#<alt (/ (+ 1 beta) beta)>
#<alt (/ (+ 1 beta) beta)>
#<alt (/ (+ 1 beta) beta)>
#<alt 1>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (/ 1 beta))>
#<alt 1>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (/ 1 beta))>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	-inf	(* alpha -1/4)
0.0ms	alpha	@	0	(+ 1/2 (* alpha -1/4))
0.0ms	alpha	@	inf	(* alpha -1/4)
0.0ms	alpha	@	inf	(+ 1/2 (* alpha -1/4))
0.0ms	beta	@	0	(/ -1 beta)

rewrite264.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`fnmadd-define`
1138×	`fma-lowering-fma.f32`
1138×	`fma-lowering-fma.f64`
1044×	`fmsub-define`
994×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	70	36
2	302	35
3	766	35
4	1437	35
5	6152	35
0	8052	35

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 318

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 (*.f64 alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 (*.f64 alpha #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 alpha #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 alpha #s(literal 1/4 binary64)) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) alpha) #s(literal 1/2 binary64))
(+.f64 (*.f64 alpha #s(literal -1/4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(neg.f64 (*.f64 alpha #s(literal 1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (*.f64 alpha #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -4 binary64) alpha)))
(/.f64 (*.f64 alpha #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) alpha))
(pow.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal -1 binary64))
(*.f64 alpha #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) alpha)
(.f64 (.f64 alpha #s(literal -1/4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 alpha #s(literal -1/4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 alpha #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1/4 binary64))
(.f64 (.f64 alpha #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) alpha))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) alpha))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 alpha)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 alpha)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) alpha))
(neg.f64 (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(pow.f64 alpha #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 alpha))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 alpha))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 alpha)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) beta))
(+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) beta)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) beta))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta))
(/.f64 #s(literal -1 binary64) beta)
(/.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1 binary64) beta)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) beta)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) beta))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) beta))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) beta)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) beta)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) beta))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) beta) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64))
(pow.f64 (E.f64) (log1p.f64 (/.f64 #s(literal 1 binary64) beta)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) beta))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) beta))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) beta)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 beta)))
(-.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) beta))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) beta) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) beta) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) beta) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) beta))
(pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(pow.f64 beta #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) beta)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 beta))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 beta))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) beta)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) beta) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) beta))
(+.f64 (/.f64 beta alpha) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 beta alpha))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 0 binary64)) (/.f64 beta alpha))
(+.f64 (*.f64 beta #s(literal 0 binary64)) (/.f64 beta alpha))
(exp.f64 (log.f64 (/.f64 beta alpha)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 alpha (/.f64 alpha beta))) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(fma.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64) (/.f64 beta alpha))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(/.f64 alpha (*.f64 alpha (/.f64 alpha beta)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (/.f64 alpha beta)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)) (-.f64 #s(literal 0 binary64) (*.f64 alpha beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 alpha beta)))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 (/.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (/.f64 beta alpha) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha))))
(/.f64 (/.f64 #s(literal -1 binary64) beta) (*.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 alpha beta)))
(/.f64 (/.f64 #s(literal -1 binary64) beta) (*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(/.f64 beta alpha)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 (.f64 alpha beta) (.f64 alpha alpha))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha beta)) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) beta)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 beta alpha))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) beta) beta)) (/.f64 alpha beta))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta))) (/.f64 alpha beta)) (.f64 (/.f64 #s(literal -1 binary64) beta) (.f64 alpha (/.f64 alpha beta))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (.f64 (/.f64 #s(literal -1 binary64) beta) (.f64 alpha beta))) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 (/.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal 0 binary64) (.f64 alpha beta)))) (.f64 (/.f64 #s(literal -1 binary64) beta) (.f64 alpha alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) (.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -1 binary64) beta)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 alpha (/.f64 alpha beta))) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))) (.f64 (/.f64 #s(literal 1 binary64) beta) (.f64 alpha (/.f64 alpha beta))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))) (.f64 (/.f64 #s(literal 1 binary64) beta) (.f64 alpha beta))) (.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (.f64 alpha beta)))) (.f64 (/.f64 #s(literal 1 binary64) beta) (.f64 alpha alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) alpha))) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal 0 binary64) beta))) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))) (/.f64 alpha beta)) (.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -1 binary64) alpha))) (.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) beta))) (/.f64 alpha beta))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))) (.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(pow.f64 (/.f64 beta alpha) #s(literal 1 binary64))
(pow.f64 (/.f64 alpha beta) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 alpha beta)))
(.f64 alpha (/.f64 #s(literal 1 binary64) (.f64 alpha (/.f64 alpha beta))))
(*.f64 #s(literal 1 binary64) (/.f64 beta alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) beta)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (-.f64 #s(literal 0 binary64) beta))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 beta alpha) #s(literal 1 binary64))
(*.f64 (/.f64 beta alpha) (exp.f64 (-.f64 (log.f64 beta) (log.f64 beta))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(*.f64 beta (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal -1 binary64))
(.f64 (.f64 alpha beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) beta))
(exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) beta)))
(exp.f64 (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) alpha)) (log.f64 (/.f64 beta alpha))))
(exp.f64 (+.f64 (log.f64 alpha) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(-.f64 #s(literal 0 binary64) beta)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) beta #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 beta #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 beta)
(/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 alpha beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) beta)))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha beta)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) beta)))
(/.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))
(/.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 alpha beta))
(/.f64 beta #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)) (*.f64 alpha (/.f64 alpha beta)))
(/.f64 (*.f64 alpha alpha) (/.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha))))
(/.f64 (*.f64 alpha beta) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (.f64 alpha beta) (.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 alpha beta) (.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha beta)) alpha)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha beta)) (.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 alpha alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha beta)) (.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha))))
(/.f64 (.f64 alpha (-.f64 #s(literal 0 binary64) (.f64 alpha beta))) (*.f64 alpha alpha))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) (.f64 alpha beta))) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 (.f64 alpha (.f64 alpha beta)) (/.f64 alpha (/.f64 #s(literal -1 binary64) alpha)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (.f64 alpha beta)) (*.f64 alpha alpha))
(pow.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 #s(literal 0 binary64) beta)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) beta)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 alpha beta)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))) #s(literal -1 binary64))
(*.f64 alpha (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta))
(*.f64 #s(literal -1 binary64) beta)
(*.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))
(*.f64 (/.f64 beta alpha) (-.f64 #s(literal 0 binary64) alpha))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 beta alpha))
(*.f64 beta #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) alpha)
(.f64 (.f64 alpha beta) (/.f64 #s(literal -1 binary64) alpha))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) alpha))
(+.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) alpha))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) alpha))
(neg.f64 (/.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) alpha)
(/.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))

simplify190.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1552×	`fma-lowering-fma.f32`
1552×	`fma-lowering-fma.f64`
1362×	`fma-define`
1184×	`-lowering-.f32`
1184×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	484
1	139	456
2	303	453
3	799	451
4	2324	450
5	7166	450
0	8012	450

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ (- beta 1) beta)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/ (- beta 1) beta)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/ (- beta 1) beta)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
beta
(* beta (+ 1 (* -1 beta)))
(*.f64 beta (-.f64 #s(literal 1 binary64) beta))
(* beta (+ 1 (* beta (- beta 1))))
(.f64 beta (+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal -1 binary64) beta))))
(* beta (+ 1 (* beta (- (* beta (+ 1 (* -1 beta))) 1))))
(.f64 beta (.f64 (-.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) (*.f64 beta beta))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 1 (pow beta 2))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)) beta))
(- (+ 1 (/ 1 (pow beta 2))) (+ (/ 1 beta) (/ 1 (pow beta 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) beta)) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (/ 1 beta)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 beta)) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) beta)) beta))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (+ 1 beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) beta) beta)
(/ (+ 1 beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) beta) beta)
(/ (+ 1 beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) beta) beta)
1
#s(literal 1 binary64)
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
1
#s(literal 1 binary64)
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)

eval71.0ms (0.9%)

Compiler: Compiled 4277 to 744 computations (82.6% saved)

prune93.0ms (1.2%)

Pruning

17 alts after pruning (3 fresh and 14 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	2	2
Picked	0	5	5
Done	0	9	9
Total	504	17	521

Accuracy

99.9%

Counts

521 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	37.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	31.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	8.6%	(/.f64 beta alpha)
✓	71.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
✓	33.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	26.7%	(/.f64 #s(literal 1 binary64) alpha)
✓	31.4%	(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
	33.6%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
✓	33.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	41.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓	43.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	8.6%	(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
	4.6%	beta
✓	39.5%	#s(literal 1 binary64)
✓	45.0%	#s(literal 1/2 binary64)

Compiler

Compiled 285 to 163 computations (42.8% saved)

regimes57.0ms (0.7%)

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)

(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

5 calls:

32.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
6.0ms	beta
6.0ms	alpha
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
93.9%	2	`alpha`
72.6%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

3 calls:

7.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

5.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

5.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)

Calls

1 calls:

7.0ms

alpha

Results

Accuracy	Segments	Branch
93.2%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)

Calls

2 calls:

4.0ms	alpha
4.0ms	beta

Results

Accuracy	Segments	Branch
70.5%	2	`beta`
74.7%	3	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))

Calls

2 calls:

6.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
70.4%	2	`beta`
69.7%	3	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
#s(literal 1 binary64)

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
70.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
beta
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
69.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

1.0ms	beta
1.0ms	alpha

Results

Accuracy	Segments	Branch
45.0%	1	`alpha`
45.0%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9998237805267456

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9998237805267456

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	26091394061774483000.0	5.00606148461846e+21

Results

12.0ms	71×	1	valid
3.0ms	41×	0	valid

Compiler

Compiled 160 to 119 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (33.2% of total)

ival-add: 3.0ms (33.2% of total)

backward-pass: 2.0ms (22.1% of total)

ival-sub: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
22.0ms	26091394061774483000.0	5.00606148461846e+21
2.0ms	8.405036957681726e-24	8.463134228803254e-22

Results

15.0ms	74×	1	valid
4.0ms	54×	0	valid

Compiler

Compiled 116 to 95 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

backward-pass: 4.0ms (33.5% of total)

ival-div: 3.0ms (25.1% of total)

ival-add: 3.0ms (25.1% of total)

ival-sub: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.0651006066310316e-9	518.8566060979558

Results

10.0ms	55×	1	valid
7.0ms	105×	0	valid

Compiler

Compiled 180 to 154 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (28.2% of total)

ival-add: 3.0ms (28.2% of total)

ival-sub: 3.0ms (28.2% of total)

backward-pass: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.0651006066310316e-9	518.8566060979558

Results

9.0ms	58×	1	valid
8.0ms	102×	0	valid

Compiler

Compiled 140 to 124 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (32.4% of total)

ival-add: 3.0ms (32.4% of total)

ival-sub: 1.0ms (10.8% of total)

backward-pass: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.0651006066310316e-9	518.8566060979558

Results

12.0ms	78×	1	valid
8.0ms	82×	0	valid

Compiler

Compiled 100 to 94 computations (6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 6.0ms (47.1% of total)

ival-add: 3.0ms (23.6% of total)

ival-sub: 2.0ms (15.7% of total)

backward-pass: 2.0ms (15.7% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	130
1	65	130
2	68	130
3	70	130
4	71	130

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 27000000000000000000 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (if (<=.f64 alpha #s(literal 27000000000000000000 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 27000000000000000000 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 27000000000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (if (<=.f64 alpha #s(literal 27000000000000000000 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(if (<=.f64 alpha #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (if (<=.f64 alpha #s(literal 27000000000000000000 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness1.2s (14.8%)

Rules

4222×	`+-lowering-+.f64`
4222×	`+-lowering-+.f32`
3618×	`-lowering-.f32`
3618×	`-lowering-.f64`
2810×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	39	40
2	138	40
3	714	39
4	5020	39
0	8100	39
0	433	2427
1	1518	2169
2	5632	2118
0	8150	2118
0	696	3432
1	2425	2937
0	8428	2937

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 297 to 172 computations (42.1% saved)

preprocess43.0ms (0.5%)

Compiler: Compiled 294 to 112 computations (61.9% saved)

analyze3.0ms (0%)

sample1.4s (17.8%)

preprocess204.0ms (2.5%)

explain410.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify188.0ms (2.3%)

localize67.0ms (0.8%)

series13.0ms (0.2%)

rewrite261.0ms (3.2%)

simplify281.0ms (3.5%)

eval132.0ms (1.6%)

prune86.0ms (1.1%)

simplify192.0ms (2.4%)

localize163.0ms (2%)

series123.0ms (1.5%)

rewrite263.0ms (3.3%)

simplify564.0ms (7%)

eval187.0ms (2.3%)

prune134.0ms (1.7%)

simplify105.0ms (1.3%)

localize106.0ms (1.3%)

series7.0ms (0.1%)

rewrite236.0ms (2.9%)

simplify267.0ms (3.3%)

eval140.0ms (1.7%)

prune103.0ms (1.3%)

simplify58.0ms (0.7%)

localize229.0ms (2.8%)

series3.0ms (0%)

rewrite264.0ms (3.3%)

simplify190.0ms (2.4%)

eval71.0ms (0.9%)

prune93.0ms (1.2%)

regimes57.0ms (0.7%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch30.0ms (0.4%)

simplify10.0ms (0.1%)

soundness1.2s (14.8%)

preprocess43.0ms (0.5%)

end0.0ms (0%)

Profiling