Metrics for Octave 3.8, jcobi/3

analyze2.0ms (0%)

Memory

4.7MiB live, 4.8MiB allocated

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 43 to 19 computations (55.8% saved)

sample1.4s (10.2%)

Memory

-109.9MiB live, 1 979.1MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 642.0ms

ival-add: 265.0ms (41.3% of total)

ival-div: 177.0ms (27.6% of total)

ival-mult: 125.0ms (19.5% of total)

ival->: 45.0ms (7% of total)

exact: 14.0ms (2.2% of total)

ival-and: 11.0ms (1.7% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess1.1s (7.9%)

Memory

3.5MiB live, 1 160.3MiB allocated

Algorithm

2×	egg-herbie

Rules

26 544×	`accelerator-lowering-fma.f32`
26 544×	`accelerator-lowering-fma.f64`
11 564×	`+-lowering-+.f64`
11 564×	`+-lowering-+.f32`
10 674×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	176
1	140	164
2	476	162
3	2813	152
4	6617	152
0	14	27
1	35	27
2	112	27
3	595	25
4	4035	25
5	4712	25
6	4875	25
7	4992	25
8	5050	25
9	5050	25
10	5422	25
11	5584	25
12	5729	25
13	5729	25
14	5729	25
15	5837	25
16	5871	25
17	5872	25
18	5872	25
19	6020	25
20	6034	25
21	6048	25
22	6048	25
0	12896	25

Stop Event

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

Calls

Call 1

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

Outputs

(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))

(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))

Call 2

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

Outputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (* (+ alpha 1) (+ beta 1)) (* (+ alpha (+ beta 2)) (* (+ alpha (+ beta 2)) (+ (+ alpha beta) 3))))
(/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1))
(/ (* (+ beta 1) (- 1 alpha)) (* (+ 2 (- beta alpha)) (* (+ 2 (- beta alpha)) (+ beta (- 3 alpha)))))
(/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1))
(/ (* (+ (neg beta) 1) (+ alpha 1)) (* (+ alpha (- 3 beta)) (* (+ (- beta alpha) -2) (+ (- beta alpha) -2))))
(neg (/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1)))
(/ (* (+ beta 1) (- 1 alpha)) (* (+ 2 (- beta alpha)) (* (+ 2 (- beta alpha)) (+ alpha (- -3 beta)))))
(neg (/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1)))
(/ (* (+ (neg beta) 1) (+ alpha 1)) (* (+ (- beta alpha) -3) (* (+ (- beta alpha) -2) (+ (- beta alpha) -2))))
(/ (/ (/ (+ (+ (+ beta alpha) (* alpha beta)) 1) (+ (+ beta alpha) (* 2 1))) (+ (+ beta alpha) (* 2 1))) (+ (+ (+ beta alpha) (* 2 1)) 1))
(/ (* (+ alpha 1) (+ beta 1)) (* (+ alpha (+ beta 2)) (* (+ alpha (+ beta 2)) (+ (+ alpha beta) 3))))

Symmetry

(sort alpha beta)

explain280.0ms (2%)

Memory

24.4MiB live, 299.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))`	o/n	18	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	18
↳	`(*.f64 beta alpha)`	overflow	18
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	18

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	18

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 43.0ms (73.3% of total)

ival-div: 8.0ms (13.6% of total)

ival-mult: 6.0ms (10.2% of total)

exact: 1.0ms (1.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

93.0%

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

Compiler

Compiled 37 to 14 computations (62.2% saved)

simplify1.2s (8.5%)

Memory

16.2MiB live, 848.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Rules

26 544×	`accelerator-lowering-fma.f32`
26 544×	`accelerator-lowering-fma.f64`
11 564×	`+-lowering-+.f64`
11 564×	`+-lowering-+.f32`
10 674×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	35	100
2	112	100
3	595	92
4	4035	92
5	4712	92
6	4875	92
7	4992	92
8	5050	92
9	5050	92
10	5422	92
11	5584	92
12	5729	92
13	5729	92
14	5729	92
15	5837	92
16	5871	92
17	5872	92
18	5872	92
19	6020	92
20	6034	92
21	6048	92
22	6048	92
0	12896	91

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+ (+ (+ alpha beta) (* beta alpha)) 1)
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
(+ (+ alpha beta) (* beta alpha))
(+.f64 alpha (fma.f64 alpha beta beta))
(+ alpha beta)
(+.f64 alpha beta)
alpha
beta
(* beta alpha)
(*.f64 alpha beta)
1
#s(literal 1 binary64)
(+ (+ alpha beta) (* 2 1))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(* 2 1)
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+.f64 (+.f64 alpha beta) #s(literal 3 binary64))

localize57.0ms (0.4%)

Memory

-6.6MiB live, 71.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	93.3%	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))

Samples

31.0ms

256×

valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 14.0ms (63% of total)

ival-div: 4.0ms (18% of total)

ival-mult: 3.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.3%)

Memory

1.4MiB live, 41.3MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
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#<alt (/ (+ 1 beta) alpha)>
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#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
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#<alt (/ (+ 1 alpha) (pow (+ 2 alpha) 2))>
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#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
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#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)>
#<alt (* -1 (/ (- (* -1 alpha) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (+ 3 beta)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (+ 3 alpha)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (/ (+ 1 beta) (+ 2 beta))>
#<alt (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ 1 beta)>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))>
#<alt (* -1 (- (* -1 beta) 1))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (/ (+ 1 alpha) (+ 2 alpha))>
#<alt (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 alpha)>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))>
#<alt (* -1 (- (* -1 alpha) 1))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
2.0ms	beta	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))

rewrite331.0ms (2.4%)

Memory

0.5MiB live, 555.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 826×	`-lowering-.f32`
4 826×	`-lowering-.f64`
4 700×	`/-lowering-/.f32`
4 700×	`/-lowering-/.f64`
3 294×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	111	61
2	1149	61
0	8157	58

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 306

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta))) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta))) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
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simplify331.0ms (2.4%)

Memory

-16.7MiB live, 700.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`+-lowering-+.f64`
7 140×	`+-lowering-+.f32`
6 772×	`accelerator-lowering-fma.f32`
6 772×	`accelerator-lowering-fma.f64`
4 944×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	5446
1	2405	5222
0	8136	4956

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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alpha
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beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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beta
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(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(+.f64 (+.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) beta)) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (.f64 beta (.f64 beta beta))) (/.f64 alpha beta)) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha))) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) (-.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (*.f64 beta beta))))
(* -1 (- (* -1 alpha) 1))
(neg.f64 (-.f64 #s(literal -1 binary64) alpha))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) beta))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) (neg.f64 beta)) (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha)))) beta))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) (neg.f64 beta)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))))) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) (neg.f64 beta)) (-.f64 #s(literal -1 binary64) alpha))

eval54.0ms (0.4%)

Memory: 19.7MiB live, 133.6MiB allocated
Compiler: Compiled 20 047 to 1 614 computations (91.9% saved)

prune82.0ms (0.6%)

Memory

19.1MiB live, 172.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	392	12	404
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	393	12	405

Accuracy

99.7%

Counts

405 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.7%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	91.7%	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
▶	92.1%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	61.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	54.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	85.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
	5.7%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
▶	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
▶	51.6%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	91.7%	(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))

Compiler

Compiled 546 to 312 computations (42.9% saved)

simplify444.0ms (3.2%)

Memory

-11.0MiB live, 546.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Rules

14 372×	`accelerator-lowering-fma.f32`
14 372×	`accelerator-lowering-fma.f64`
4 188×	`-lowering-.f32`
4 188×	`-lowering-.f64`
3 232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	203
1	71	203
2	220	203
3	984	203
4	5010	203
5	5913	203
6	6007	203
7	6178	203
8	6258	203
9	6320	203
10	7225	203
11	7549	203
12	7557	203
13	7557	203
14	7656	203
15	7733	203
16	7736	203
17	7736	203
0	8119	197

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(+ 1 beta)
1
beta
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
alpha
(* 2 1)
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
1
alpha
(* beta beta)
beta
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
(+ 1 alpha)
1
alpha
(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
(* (+ 2 alpha) (+ 2 alpha))
(+ 2 alpha)
2
(+ 3 alpha)
3
(/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) beta)
(+ 1 alpha)
1
alpha
beta
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
(* 2 1)
2
(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))
(+ 1 alpha)
1
alpha
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
beta
(* 2 1)
2
(+ (+ (+ alpha beta) (* 2 1)) 1)

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

localize104.0ms (0.7%)

Memory

20.5MiB live, 174.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	accuracy	99.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	97.7%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	96.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	71.6%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

56.0ms

256×

valid

Compiler

Compiled 245 to 28 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 18.0ms (50.6% of total)

ival-add: 10.0ms (28.1% of total)

ival-mult: 7.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.6%)

Memory

-21.1MiB live, 53.2MiB allocated

Counts

15 → 252

Calls

Call 1

Inputs
#<alt (/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (* 2 1)>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (* (+ beta 2) (+ beta 2))>
#<alt (/ (+ 1 alpha) (* beta beta))>
#<alt (+ 1 alpha)>
#<alt (* beta beta)>
#<alt (* (+ 2 alpha) (+ 2 alpha))>
#<alt (/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))>
#<alt (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))>
#<alt (/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))>
#<alt (/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))>

Outputs
#<alt (/ 1/4 (+ 3 alpha))>
#<alt (+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
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#<alt (/ 1 beta)>
#<alt (/ (- 1 (* 3 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))>

Calls

63 calls:

Time	Variable		Point	Expression
30.0ms	alpha	@	-inf	(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
3.0ms	beta	@	inf	(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms	alpha	@	inf	(/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms	alpha	@	0	(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms	beta	@	0	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))

rewrite337.0ms (2.4%)

Memory

-26.6MiB live, 647.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 812×	`/-lowering-/.f32`
5 812×	`/-lowering-/.f64`
4 768×	`-lowering-.f32`
4 768×	`-lowering-.f64`
2 514×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	115
1	204	115
2	1966	115
0	8967	115

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 894

Calls

Call 1

Inputs
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(* 2 1)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(* (+ beta 2) (+ beta 2))
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
(* beta beta)
(* (+ 2 alpha) (+ 2 alpha))
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
(/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) beta)
(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))

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

simplify436.0ms (3.1%)

Memory

30.9MiB live, 700.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 904×	`accelerator-lowering-fma.f32`
6 904×	`accelerator-lowering-fma.f64`
6 144×	`+-lowering-+.f64`
6 144×	`+-lowering-+.f32`
5 574×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	5260
1	2970	5063
0	8186	4924

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(/ 1 (pow beta 2))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
4
(+ 4 (* 4 alpha))
(+ 4 (* alpha (+ 4 alpha)))
(+ 4 (* alpha (+ 4 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(/ 1 (pow alpha 2))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))
(/ 1 (pow alpha 2))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))
12
(+ 12 (* 16 alpha))
(+ 12 (* alpha (+ 16 (* 7 alpha))))
(+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))
(/ 1 (* beta (+ 3 beta)))
(+ (* alpha (- (/ 1 (* beta (+ 3 beta))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (/ 1 (* beta (pow (+ 3 beta) 3))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (* beta (pow (+ 3 beta) 3))) (/ 1 (* beta (pow (+ 3 beta) 4))))) (/ 1 (* beta (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))
(/ 1 beta)
(- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ (/ 1 alpha) (/ 3 (* alpha beta))))
(- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 2))) (+ (/ 1 beta) (/ 1 (* alpha beta)))) (+ (/ 1 alpha) (/ 3 (* alpha beta))))
(- (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (/ (* (pow (+ 3 beta) 2) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 3)))) (+ (/ 1 alpha) (+ (/ 3 (* alpha beta)) (/ (* (+ 3 beta) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 2)))))
(/ 1 beta)
(+ (* -1 (/ (+ 3 beta) (* alpha beta))) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (- (/ (* (+ 3 beta) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha)) (/ 1 beta))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 3 beta) 2) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha) (* (+ 3 beta) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta)))) alpha)) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha)) (/ 1 beta))
(/ (+ 1 alpha) (* beta (+ 3 alpha)))
(/ (+ (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha)) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))) (+ 3 alpha))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))
(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ 1 (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3)))) (* 5 (/ 1 (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3))))) (+ (* -1 (/ (* (+ 5 (* 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta))))) (* (+ 2 beta) (+ 3 beta)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta))))) (* -1 (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))))) (pow alpha 3)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2)))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* -1 (/ (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)) (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))))) alpha))) (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))))) (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) alpha)) (/ (* (+ 2 beta) (* (+ 3 beta) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))))) alpha)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))))))) alpha))) (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* -1 (/ (* beta (* (+ 1 alpha) (+ 5 (* 2 alpha)))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (* -1 (/ (* (+ 5 (* 2 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))))) (* (+ 2 alpha) (+ 3 alpha))))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* -1 (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) (pow beta 2)) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (/ (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2)) beta)) (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) beta)) (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))))) beta)) (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (+ (* -1 (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))) beta)) (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)))) (pow beta 2))
(/ 1 (+ 2 beta))
(+ (* alpha (- (/ 1 (+ 2 beta)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
1
(+ 1 (* -1 (/ (+ 1 beta) alpha)))
(- (+ 1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha)))
(- (+ 1 (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 3)))) (+ (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))
1
(+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ 1 alpha)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 beta))) (+ 2 beta)) alpha) (+ 1 (* -1 (+ 2 beta)))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) (* (+ 1 (* -1 (+ 2 beta))) (+ 2 beta))) alpha)) (+ 1 (* -1 (+ 2 beta)))) alpha)))
(/ (+ 1 alpha) (+ 2 alpha))
(+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) beta)))) beta)
(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta)
(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) beta) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) beta) (* (+ 1 alpha) (pow (+ 2 alpha) 2))) beta)) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))

Outputs
(/ 1/4 (+ 3 alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (neg.f64 beta) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
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(/ 1 (pow beta 2))
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(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
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(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
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(+ 3 beta)
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(+ 3 (+ alpha beta))
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(+ 3 (+ alpha beta))
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(+ 3 (+ alpha beta))
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alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
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(+ 3 alpha)
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(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
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beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
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4
#s(literal 4 binary64)
(+ 4 (* 4 beta))
(fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
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(+ 4 (* beta (+ 4 beta)))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 3 binary64) beta) (/.f64 #s(literal 20 binary64) (.f64 beta (*.f64 beta beta))))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) beta) #s(literal -3 binary64)) beta)) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 20 binary64) beta) #s(literal -8 binary64)) beta)) #s(literal -3 binary64)) (neg.f64 beta)) #s(literal -1 binary64)) (neg.f64 beta))

eval195.0ms (1.4%)

Memory: 24.0MiB live, 405.0MiB allocated
Compiler: Compiled 45 870 to 3 922 computations (91.4% saved)

prune251.0ms (1.8%)

Memory

-7.9MiB live, 507.7MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 523	27	1 550
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	1 530	32	1 562

Accuracy

99.7%

Counts

1 562 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	46.8%	(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	46.8%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	54.2%	(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.7%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	91.7%	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	91.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
	61.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	54.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
	54.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	53.3%	(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	50.4%	(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
▶	85.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
▶	13.3%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	46.9%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
	58.4%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
	51.7%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	51.6%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
▶	92.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
▶	31.7%	(/.f64 alpha (*.f64 beta beta))
	54.9%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	54.2%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	48.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	48.1%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	6.0%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	5.9%	(/.f64 #s(literal 1 binary64) beta)
	49.0%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	47.2%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
▶	46.5%	#s(literal 1/12 binary64)

Compiler

Compiled 898 to 599 computations (33.3% saved)

simplify1.2s (8.4%)

Memory

-34.8MiB live, 998.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))
✓	cost-diff	0	(+.f64 beta #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
✓	cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) alpha)
✓	cost-diff	0	(+.f64 alpha #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 alpha (*.f64 beta beta))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	320	(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Rules

31 230×	`accelerator-lowering-fma.f32`
31 230×	`accelerator-lowering-fma.f64`
9 184×	`+-lowering-+.f64`
9 184×	`+-lowering-+.f32`
4 788×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	151
1	75	147
2	212	147
3	602	147
4	1988	147
5	3533	147
6	3713	147
7	4004	147
8	4117	147
9	4202	147
10	4341	147
11	5469	147
12	5807	147
13	6696	147
14	6879	147
15	6910	147
16	6910	147
17	7537	147
18	7867	147
0	11900	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3)))) (* (+ beta 2) (+ beta 2)))
(* (+ 1 beta) (/ 1 (+ beta (+ alpha 3))))
(+ 1 beta)
1
beta
(/ 1 (+ beta (+ alpha 3)))
(+ beta (+ alpha 3))
(+ alpha 3)
alpha
3
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
1/12
(/ alpha (* beta beta))
alpha
(* beta beta)
beta
(/ (+ alpha 1) (* (+ 3 alpha) (+ alpha 2)))
(+ alpha 1)
alpha
1
(* (+ 3 alpha) (+ alpha 2))
(+ 3 alpha)
3
(+ alpha 2)
2
(/ (+ beta 1) (* (* (+ beta 2) (+ beta 2)) (+ 3 beta)))
(+ beta 1)
beta
1
(* (* (+ beta 2) (+ beta 2)) (+ 3 beta))
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
(+ 3 beta)
3

Outputs
(/ (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3)))) (* (+ beta 2) (+ beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(* (+ 1 beta) (/ 1 (+ beta (+ alpha 3))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(/ 1 (+ beta (+ alpha 3)))
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(+ beta (+ alpha 3))
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
(+ alpha 3)
(+.f64 alpha #s(literal 3 binary64))
alpha
3
#s(literal 3 binary64)
(* (+ beta 2) (+ beta 2))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/12
#s(literal 1/12 binary64)
(/ alpha (* beta beta))
(/.f64 alpha (*.f64 beta beta))
alpha
(* beta beta)
(*.f64 beta beta)
beta
(/ (+ alpha 1) (* (+ 3 alpha) (+ alpha 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(+ alpha 1)
(+.f64 #s(literal 1 binary64) alpha)
alpha
1
#s(literal 1 binary64)
(* (+ 3 alpha) (+ alpha 2))
(fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64))
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ beta 1) (* (* (+ beta 2) (+ beta 2)) (+ 3 beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))))
(+ beta 1)
(+.f64 #s(literal 1 binary64) beta)
beta
1
#s(literal 1 binary64)
(* (* (+ beta 2) (+ beta 2)) (+ 3 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))
(* (+ beta 2) (+ beta 2))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize134.0ms (1%)

Memory

-11.3MiB live, 183.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) beta)
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))
✓	accuracy	91.1%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) alpha)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	95.9%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	86.6%	(/.f64 alpha (*.f64 beta beta))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
✓	accuracy	99.8%	(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	accuracy	99.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

99.0ms

256×

valid

Compiler

Compiled 153 to 27 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

const: 38.0ms (45.5% of total)

ival-mult: 24.0ms (28.7% of total)

ival-add: 14.0ms (16.8% of total)

ival-div: 8.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (/ (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3)))) (* (+ beta 2) (+ beta 2)))>
#<alt (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3))))>
#<alt (* (+ beta 2) (+ beta 2))>
#<alt (+ 1 beta)>
#<alt (/ alpha (* beta beta))>
#<alt (* beta beta)>
#<alt (* (+ 3 alpha) (+ alpha 2))>
#<alt (/ (+ alpha 1) (* (+ 3 alpha) (+ alpha 2)))>
#<alt (+ alpha 1)>
#<alt (+ 3 alpha)>
#<alt (/ (+ beta 1) (* (* (+ beta 2) (+ beta 2)) (+ 3 beta)))>
#<alt (+ beta 1)>
#<alt (* (* (+ beta 2) (+ beta 2)) (+ 3 beta))>
#<alt (/ 1 (+ beta (+ alpha 3)))>
#<alt (+ 3 beta)>

Outputs
#<alt (/ 1/4 (+ 3 alpha))>
#<alt (+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt (/ 1 (+ 3 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 3 alpha)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 4)))) (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (* (+ 2 alpha) (pow (+ 3 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 3 alpha) beta)) (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha)) beta) (+ 1 (* -1 (+ 3 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (pow (+ 3 alpha) 2)) beta) (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha))) beta)) (+ 1 (* -1 (+ 3 alpha)))) beta)))>
#<alt (/ (+ 1 beta) (+ 3 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2)))) (+ 3 beta)) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 4)) (/ beta (pow (+ 3 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))) (+ 3 beta))))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 3 beta)) alpha)))) alpha)>
#<alt (/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 3 beta)) alpha))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) alpha) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 3 beta) 2))) alpha)) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))>
#<alt 4>
#<alt (+ 4 (* 4 beta))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<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 (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt 6>
#<alt (+ 6 (* 5 alpha))>
#<alt (+ 6 (* alpha (+ 5 alpha)))>
#<alt (+ 6 (* alpha (+ 5 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/36 alpha))>
#<alt (+ 1/6 (* alpha (+ 1/36 (* -11/216 alpha))))>
#<alt (+ 1/6 (* alpha (+ 1/36 (* alpha (- (* 49/1296 alpha) 11/216)))))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 14 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 14 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 46 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 14 (/ 1 alpha)) 4) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 46 (/ 1 alpha)) 14) alpha)) 4) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt 3>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<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 12>
#<alt (+ 12 (* 16 beta))>
#<alt (+ 12 (* beta (+ 16 (* 7 beta))))>
#<alt (+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))>
#<alt (/ 1 (+ 3 alpha))>
#<alt (+ (* -1 (/ beta (pow (+ 3 alpha) 2))) (/ 1 (+ 3 alpha)))>
#<alt (+ (* beta (- (/ beta (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 3 alpha) 4))) (/ 1 (pow (+ 3 alpha) 3)))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt (/ 1 beta)>
#<alt (/ (+ 1 (* -1 (/ (+ 3 alpha) beta))) beta)>
#<alt (/ (- (+ 1 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))) beta)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta)))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (+ (* 3 (/ 1 beta)) (/ alpha beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 alpha) 2) beta) (+ 3 alpha)) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 alpha) 3) beta) (pow (+ 3 alpha) 2)) beta)) (+ 3 alpha)) beta)) 1) beta))>
#<alt (/ 1 (+ 3 beta))>
#<alt (+ (* -1 (/ alpha (pow (+ 3 beta) 2))) (/ 1 (+ 3 beta)))>
#<alt (+ (* alpha (- (/ alpha (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2)))) (/ 1 (+ 3 beta)))>
#<alt (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 3 beta) 4))) (/ 1 (pow (+ 3 beta) 3)))) (/ 1 (pow (+ 3 beta) 2)))) (/ 1 (+ 3 beta)))>
#<alt (/ 1 alpha)>
#<alt (/ (+ 1 (* -1 (/ (+ 3 beta) alpha))) alpha)>
#<alt (/ (- (+ 1 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (/ beta alpha))) alpha)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 beta) 2) alpha) (+ 3 beta)) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 beta) 3) alpha) (pow (+ 3 beta) 2)) alpha)) (+ 3 beta)) alpha)) 1) alpha))>
#<alt 3>
#<alt (+ 3 beta)>
#<alt (+ 3 beta)>
#<alt (+ 3 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	inf	(/ alpha (* beta beta))
1.0ms	alpha	@	0	(* (+ 1 beta) (/ 1 (+ beta (+ alpha 3))))
1.0ms	alpha	@	0	(/ alpha (* beta beta))
0.0ms	alpha	@	inf	(* (+ 1 beta) (/ 1 (+ beta (+ alpha 3))))
0.0ms	alpha	@	-inf	(/ alpha (* beta beta))

rewrite351.0ms (2.5%)

Memory

4.0MiB live, 636.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 622×	`/-lowering-/.f32`
5 622×	`/-lowering-/.f64`
3 830×	`-lowering-.f32`
3 830×	`-lowering-.f64`
2 188×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	99
1	208	99
2	2047	99
0	8309	99

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 939

Calls

Call 1

Inputs
(/ (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3)))) (* (+ beta 2) (+ beta 2)))
(* (+ 1 beta) (/ 1 (+ beta (+ alpha 3))))
(* (+ beta 2) (+ beta 2))
(+ 1 beta)
(/ alpha (* beta beta))
(* beta beta)
(* (+ 3 alpha) (+ alpha 2))
(/ (+ alpha 1) (* (+ 3 alpha) (+ alpha 2)))
(+ alpha 1)
(+ 3 alpha)
(/ (+ beta 1) (* (* (+ beta 2) (+ beta 2)) (+ 3 beta)))
(+ beta 1)
(* (* (+ beta 2) (+ beta 2)) (+ 3 beta))
(/ 1 (+ beta (+ alpha 3)))
(+ 3 beta)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (/.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 beta beta #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal -1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (neg.f64 (+.f64 beta #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 beta beta #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (+.f64 beta #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) beta))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 3 binary64)) (.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))) (.f64 beta (.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha #s(literal 3 binary64)) beta) (*.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 3 binary64)) (.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))) (.f64 beta (.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha #s(literal 3 binary64)) beta) (*.f64 beta beta))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (-.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (-.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)))
(+.f64 beta #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) beta)
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 3 binary64) beta)))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 beta #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) beta #s(literal 3 binary64))
(fma.f64 beta #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal 9 binary64) (*.f64 beta beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal 9 binary64) (*.f64 beta beta)))))
(/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 27 binary64)) (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64)) (fma.f64 beta beta (-.f64 #s(literal 9 binary64) (.f64 beta #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 beta beta)) (-.f64 #s(literal 3 binary64) beta))
(/.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 27 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64))) (neg.f64 (fma.f64 beta beta (-.f64 #s(literal 9 binary64) (.f64 beta #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 3 binary64) beta)))
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 9 binary64)) (-.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) beta)) (.f64 (-.f64 #s(literal 3 binary64) beta) (.f64 beta beta))) (.f64 (-.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal 3 binary64) beta)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 beta beta)))) (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) beta))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) #s(literal 9 binary64))) (neg.f64 (-.f64 beta #s(literal 3 binary64))))
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal 9 binary64) (*.f64 beta beta))) #s(literal -1 binary64))
(.f64 (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) beta)))

simplify444.0ms (3.2%)

Memory

22.3MiB live, 726.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 058×	`accelerator-lowering-fma.f32`
7 058×	`accelerator-lowering-fma.f64`
5 212×	`+-lowering-+.f64`
5 212×	`+-lowering-+.f32`
4 360×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3076
1	1953	2938
2	6223	2859
0	8594	2771

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(/ 1 (+ 3 alpha))
(+ (* beta (- (/ 1 (+ 3 alpha)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
(+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 4)))) (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (* (+ 2 alpha) (pow (+ 3 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (+ (* -1 (/ (+ 3 alpha) beta)) (/ 1 beta)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha)) beta) (+ 1 (* -1 (+ 3 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (pow (+ 3 alpha) 2)) beta) (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha))) beta)) (+ 1 (* -1 (+ 3 alpha)))) beta)))
(/ (+ 1 beta) (+ 3 beta))
(+ (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2)))) (+ 3 beta)) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 4)) (/ beta (pow (+ 3 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))) (+ 3 beta))))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 3 beta)) alpha)))) alpha)
(/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha)
(/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 3 beta)) alpha))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) alpha) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 3 beta) 2))) alpha)) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
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)))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
6
(+ 6 (* 5 alpha))
(+ 6 (* alpha (+ 5 alpha)))
(+ 6 (* alpha (+ 5 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
1/6
(+ 1/6 (* 1/36 alpha))
(+ 1/6 (* alpha (+ 1/36 (* -11/216 alpha))))
(+ 1/6 (* alpha (+ 1/36 (* alpha (- (* 49/1296 alpha) 11/216)))))
(/ 1 alpha)
(/ (- 1 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 14 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 14 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 46 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 14 (/ 1 alpha)) 4) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 46 (/ 1 alpha)) 14) alpha)) 4) alpha)) 1) alpha))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
3
(+ 3 alpha)
(+ 3 alpha)
(+ 3 alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
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)))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
(/ 1 (+ 3 alpha))
(+ (* -1 (/ beta (pow (+ 3 alpha) 2))) (/ 1 (+ 3 alpha)))
(+ (* beta (- (/ beta (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 3 alpha) 4))) (/ 1 (pow (+ 3 alpha) 3)))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 3 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (+ (* 3 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 alpha) 2) beta) (+ 3 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 alpha) 3) beta) (pow (+ 3 alpha) 2)) beta)) (+ 3 alpha)) beta)) 1) beta))
(/ 1 (+ 3 beta))
(+ (* -1 (/ alpha (pow (+ 3 beta) 2))) (/ 1 (+ 3 beta)))
(+ (* alpha (- (/ alpha (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2)))) (/ 1 (+ 3 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 3 beta) 4))) (/ 1 (pow (+ 3 beta) 3)))) (/ 1 (pow (+ 3 beta) 2)))) (/ 1 (+ 3 beta)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 3 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 beta) 2) alpha) (+ 3 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 beta) 3) alpha) (pow (+ 3 beta) 2)) alpha)) (+ 3 beta)) alpha)) 1) alpha))
3
(+ 3 beta)
(+ 3 beta)
(+ 3 beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))

Outputs
(/ 1/4 (+ 3 alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) alpha) beta)) beta)
(/ (- (+ 1 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (-.f64 #s(literal -3 binary64) alpha)) beta)) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta)))) beta)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (.f64 beta (.f64 beta beta))))) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (-.f64 #s(literal -3 binary64) alpha)) beta)) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (+ (* 3 (/ 1 beta)) (/ alpha beta)) 1) beta))
(/.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 3 binary64) beta) #s(literal -1 binary64))) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 alpha) 2) beta) (+ 3 alpha)) beta)) 1) beta))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (-.f64 #s(literal -3 binary64) alpha)) beta)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 alpha) 3) beta) (pow (+ 3 alpha) 2)) beta)) (+ 3 alpha)) beta)) 1) beta))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal -3 binary64) alpha))) beta) (+.f64 #s(literal 3 binary64) alpha)) beta)) beta))
(/ 1 (+ 3 beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) beta))
(+ (* -1 (/ alpha (pow (+ 3 beta) 2))) (/ 1 (+ 3 beta)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) beta)) (/.f64 alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal -3 binary64) beta))))
(+ (* alpha (- (/ alpha (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2)))) (/ 1 (+ 3 beta)))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal -3 binary64) beta))) (/.f64 alpha (.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 3 beta) 4))) (/ 1 (pow (+ 3 beta) 3)))) (/ 1 (pow (+ 3 beta) 2)))) (/ 1 (+ 3 beta)))
(fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3 binary64) beta) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 3 binary64) beta) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal -3 binary64) beta)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) beta)))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 (* -1 (/ (+ 3 beta) alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha)) alpha)
(/ (- (+ 1 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (/ beta alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -3 binary64) beta)) alpha)) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal -3 binary64) beta) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))) (.f64 alpha (.f64 alpha alpha))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -3 binary64) beta)) alpha))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) (+.f64 (/.f64 beta alpha) #s(literal -1 binary64))) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 beta) 2) alpha) (+ 3 beta)) alpha)) 1) alpha))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -3 binary64) beta)) alpha)) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 3 beta) 3) alpha) (pow (+ 3 beta) 2)) alpha)) (+ 3 beta)) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) alpha) (.f64 (+.f64 #s(literal 3 binary64) beta) (-.f64 #s(literal -3 binary64) beta))) alpha) (+.f64 #s(literal 3 binary64) beta)) alpha)) (neg.f64 alpha))
3
#s(literal 3 binary64)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)

eval232.0ms (1.7%)

Memory: -39.7MiB live, 343.6MiB allocated
Compiler: Compiled 33 944 to 3 517 computations (89.6% saved)

prune224.0ms (1.6%)

Memory

24.6MiB live, 455.1MiB allocated

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1 236	11	1 247
Fresh	2	23	25
Picked	3	2	5
Done	0	2	2
Total	1 241	38	1 279

Accuracy

99.7%

Counts

1 279 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	45.6%	(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	45.6%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
▶	46.9%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	46.8%	(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
▶	46.8%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	54.2%	(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.7%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	91.7%	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	61.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	54.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
	54.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	53.3%	(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	34.5%	(/.f64 (/.f64 alpha beta) beta)
	50.4%	(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
	85.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	46.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	85.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
▶	13.3%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
	10.8%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	46.9%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
▶	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
	58.4%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
	51.7%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	51.6%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	48.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
✓	31.7%	(/.f64 alpha (*.f64 beta beta))
	54.9%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	54.2%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	48.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	48.1%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	6.0%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	5.9%	(/.f64 #s(literal 1 binary64) beta)
	47.2%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	34.4%	(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
✓	46.5%	#s(literal 1/12 binary64)

Compiler

Compiled 974 to 662 computations (32% saved)

simplify266.0ms (1.9%)

Memory

-17.4MiB live, 384.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓	cost-diff	0	(+.f64 alpha #s(literal 5 binary64))
✓	cost-diff	0	(fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64))
✓	cost-diff	0	(+.f64 alpha #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
✓	cost-diff	0	(fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64))
✓	cost-diff	0	(fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64))
✓	cost-diff	0	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓	cost-diff	0	(+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	64	(+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

Rules

7 852×	`accelerator-lowering-fma.f32`
7 852×	`accelerator-lowering-fma.f64`
3 636×	`+-lowering-+.f64`
3 636×	`+-lowering-+.f32`
2 354×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	209
1	115	209
2	310	209
3	1157	203
4	3852	203
5	4178	203
6	4645	203
7	5240	203
8	5888	203
9	6706	203
10	7943	203
0	8044	189

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 3))))
(/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2)))
(+ alpha (+ beta (+ (* alpha beta) 1)))
alpha
(+ beta (+ (* alpha beta) 1))
beta
(+ (* alpha beta) 1)
1
(+ alpha (+ beta 2))
(+ beta 2)
2
(* (+ alpha (+ beta 2)) (+ alpha (+ beta 3)))
(+ alpha (+ beta 3))
(+ beta 3)
3
(+ (* alpha -1/36) 1/12)
alpha
-1/36
1/12
(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
alpha
(+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)
(+ (* alpha 2/81) -5/432)
2/81
-5/432
-1/36
1/12
(/ (+ alpha 1) (+ (* alpha (+ alpha 5)) 6))
(+ alpha 1)
alpha
1
(+ (* alpha (+ alpha 5)) 6)
(+ alpha 5)
5
6
(/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))
(+ 1 alpha)
1
alpha
(* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))
(+ (* alpha (+ alpha 4)) 4)
(+ alpha 4)
4
(+ 3 alpha)
3

Outputs
(/ (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 3))))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))))
(/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2)))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(+ alpha (+ beta (+ (* alpha beta) 1)))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
alpha
(+ beta (+ (* alpha beta) 1))
(+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))
beta
(+ (* alpha beta) 1)
(fma.f64 alpha beta #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ alpha (+ beta 2))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ alpha (+ beta 2)) (+ alpha (+ beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ alpha (+ beta 3))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ beta 3)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (* alpha -1/36) 1/12)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
alpha
-1/36
#s(literal -1/36 binary64)
1/12
#s(literal 1/12 binary64)
(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
alpha
(+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)
(fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64))
(+ (* alpha 2/81) -5/432)
(fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64))
2/81
#s(literal 2/81 binary64)
-5/432
#s(literal -5/432 binary64)
-1/36
#s(literal -1/36 binary64)
1/12
#s(literal 1/12 binary64)
(/ (+ alpha 1) (+ (* alpha (+ alpha 5)) 6))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(+ alpha 1)
(+.f64 alpha #s(literal 1 binary64))
alpha
1
#s(literal 1 binary64)
(+ (* alpha (+ alpha 5)) 6)
(fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64))
(+ alpha 5)
(+.f64 alpha #s(literal 5 binary64))
5
#s(literal 5 binary64)
6
#s(literal 6 binary64)
(/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 alpha #s(literal 3 binary64))))
(+ 1 alpha)
(+.f64 alpha #s(literal 1 binary64))
1
#s(literal 1 binary64)
alpha
(* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))
(*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 alpha #s(literal 3 binary64)))
(+ (* alpha (+ alpha 4)) 4)
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+ alpha 4)
(+.f64 alpha #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize142.0ms (1%)

Memory

31.9MiB live, 259.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
✓	accuracy	97.7%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓	accuracy	100.0%	(fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 5 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 1 binary64))
✓	accuracy	95.9%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
✓	accuracy	100.0%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.9%	(fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64))
✓	accuracy	99.9%	(fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64))
✓	accuracy	99.9%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	96.4%	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	accuracy	93.3%	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))

Samples

74.0ms

256×

valid

Compiler

Compiled 194 to 45 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 19.0ms (35.9% of total)

ival-mult: 14.0ms (26.5% of total)

const: 11.0ms (20.8% of total)

ival-div: 8.0ms (15.1% of total)

exact: 1.0ms (1.9% of total)

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

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

series25.0ms (0.2%)

Memory

-4.3MiB live, 35.7MiB allocated

Counts

19 → 300

Calls

Call 1

Inputs
#<alt (/ (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 3))))>
#<alt (+ alpha (+ beta (+ (* alpha beta) 1)))>
#<alt (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2)))>
#<alt (+ beta (+ (* alpha beta) 1))>
#<alt (+ (* alpha -1/36) 1/12)>
#<alt (+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)>
#<alt (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)>
#<alt (+ (* alpha 2/81) -5/432)>
#<alt (/ (+ alpha 1) (+ (* alpha (+ alpha 5)) 6))>
#<alt (+ alpha 1)>
#<alt (+ (* alpha (+ alpha 5)) 6)>
#<alt (+ alpha 5)>
#<alt (/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))>
#<alt (+ 1 alpha)>
#<alt (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))>
#<alt (+ (* alpha (+ alpha 4)) 4)>
#<alt (* (+ alpha (+ beta 2)) (+ alpha (+ beta 3)))>
#<alt (+ alpha (+ beta 2))>
#<alt (+ 3 alpha)>

Outputs
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))>
#<alt (* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))>
#<alt (/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))>
#<alt (/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))>
#<alt (/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* alpha (+ 1 beta))))>
#<alt (+ 1 (+ beta (* alpha (+ 1 beta))))>
#<alt (+ 1 (+ beta (* alpha (+ 1 beta))))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))>
#<alt (* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))>
#<alt (* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))>
#<alt (* -1 (* alpha (- (* -1 beta) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))>
#<alt (+ 1 alpha)>
#<alt (+ 1 (+ alpha (* beta (+ 1 alpha))))>
#<alt (+ 1 (+ alpha (* beta (+ 1 alpha))))>
#<alt (+ 1 (+ alpha (* beta (+ 1 alpha))))>
#<alt (* beta (+ 1 alpha))>
#<alt (* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))>
#<alt (* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))>
#<alt (* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))>
#<alt (* -1 (* beta (- (* -1 alpha) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))>
#<alt (/ (+ 1 beta) (+ 2 beta))>
#<alt (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ 1 beta)>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))>
#<alt (* -1 (- (* -1 beta) 1))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (/ (+ 1 alpha) (+ 2 alpha))>
#<alt (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 alpha)>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))>
#<alt (* -1 (- (* -1 alpha) 1))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt 1>
#<alt (+ 1 (* beta (+ 1 alpha)))>
#<alt (+ 1 (* beta (+ 1 alpha)))>
#<alt (+ 1 (* beta (+ 1 alpha)))>
#<alt (* beta (+ 1 alpha))>
#<alt (* beta (+ 1 (+ alpha (/ 1 beta))))>
#<alt (* beta (+ 1 (+ alpha (/ 1 beta))))>
#<alt (* beta (+ 1 (+ alpha (/ 1 beta))))>
#<alt (* -1 (* beta (- (* -1 alpha) 1)))>
#<alt (* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))>
#<alt (* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))>
#<alt (* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* alpha beta)))>
#<alt (+ 1 (+ beta (* alpha beta)))>
#<alt (+ 1 (+ beta (* alpha beta)))>
#<alt (* alpha beta)>
#<alt (* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha beta)>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (* -1/36 alpha)>
#<alt (* alpha (- (* 1/12 (/ 1 alpha)) 1/36))>
#<alt (* alpha (- (* 1/12 (/ 1 alpha)) 1/36))>
#<alt (* alpha (- (* 1/12 (/ 1 alpha)) 1/36))>
#<alt (* -1/36 alpha)>
#<alt (* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))>
#<alt (+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))>
#<alt (* 2/81 (pow alpha 3))>
#<alt (* (pow alpha 3) (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* (pow alpha 3) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 3) (- (+ 2/81 (* 1/12 (/ 1 (pow alpha 3)))) (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha)))))>
#<alt (* 2/81 (pow alpha 3))>
#<alt (* -1 (* (pow alpha 3) (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt (* -1 (* (pow alpha 3) (- (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha))) 2/81)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/12 (/ 1 alpha))) alpha)) 5/432) alpha)) 2/81)))>
#<alt -1/36>
#<alt (- (* -5/432 alpha) 1/36)>
#<alt (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)>
#<alt (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)>
#<alt (* 2/81 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* 2/81 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt -5/432>
#<alt (- (* 2/81 alpha) 5/432)>
#<alt (- (* 2/81 alpha) 5/432)>
#<alt (- (* 2/81 alpha) 5/432)>
#<alt (* 2/81 alpha)>
#<alt (* alpha (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* alpha (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* alpha (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* 2/81 alpha)>
#<alt (* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt (* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt (* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/36 alpha))>
#<alt (+ 1/6 (* alpha (+ 1/36 (* -11/216 alpha))))>
#<alt (+ 1/6 (* alpha (+ 1/36 (* alpha (- (* 49/1296 alpha) 11/216)))))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 14 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 14 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 46 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 14 (/ 1 alpha)) 4) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 46 (/ 1 alpha)) 14) alpha)) 4) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt 6>
#<alt (+ 6 (* 5 alpha))>
#<alt (+ 6 (* alpha (+ 5 alpha)))>
#<alt (+ 6 (* alpha (+ 5 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))>
#<alt 5>
#<alt (+ 5 alpha)>
#<alt (+ 5 alpha)>
#<alt (+ 5 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 5 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 5 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 5 (/ 1 alpha))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))>
#<alt (+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt 12>
#<alt (+ 12 (* 16 alpha))>
#<alt (+ 12 (* alpha (+ 16 (* 7 alpha))))>
#<alt (+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))>
#<alt 4>
#<alt (+ 4 (* 4 alpha))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (+ 2 alpha) (+ 3 alpha))>
#<alt (+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<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)))>
#<alt 3>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>

Calls

75 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	0	(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
0.0ms	alpha	@	inf	(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
0.0ms	alpha	@	0	(/ (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 3))))
0.0ms	alpha	@	-inf	(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
0.0ms	alpha	@	inf	(+ alpha (+ beta (+ (* alpha beta) 1)))

rewrite488.0ms (3.5%)

Memory

16.3MiB live, 727.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 470×	`/-lowering-/.f32`
4 470×	`/-lowering-/.f64`
3 862×	`-lowering-.f32`
3 862×	`-lowering-.f64`
2 842×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	169
1	346	169
2	3318	165
0	8461	149

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 942

Calls

Call 1

Inputs
(/ (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 3))))
(+ alpha (+ beta (+ (* alpha beta) 1)))
(/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ alpha (+ beta 2)))
(+ beta (+ (* alpha beta) 1))
(+ (* alpha -1/36) 1/12)
(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
(+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)
(+ (* alpha 2/81) -5/432)
(/ (+ alpha 1) (+ (* alpha (+ alpha 5)) 6))
(+ alpha 1)
(+ (* alpha (+ alpha 5)) 6)
(+ alpha 5)
(/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))
(+ 1 alpha)
(* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))
(+ (* alpha (+ alpha 4)) 4)
(* (+ alpha (+ beta 2)) (+ alpha (+ beta 3)))
(+ alpha (+ beta 2))
(+ 3 alpha)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))))))
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (neg.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(/.f64 (fma.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) (.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 alpha (.f64 alpha alpha))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) (-.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) alpha)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(/.f64 (.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))) (neg.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) (.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 alpha (.f64 alpha alpha)))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) (-.f64 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))) alpha))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta (+.f64 alpha #s(literal 1 binary64))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta #s(literal 1 binary64))))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta #s(literal 1 binary64))))))
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(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 (+.f64 alpha #s(literal 2 binary64)) beta)
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 alpha #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 beta #s(literal 2 binary64)))
(fma.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 beta beta #s(literal 4 binary64)) (.f64 beta #s(literal 2 binary64)))) alpha)
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha))) (fma.f64 alpha alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha)))) (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha))) (neg.f64 (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 alpha #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) alpha)
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 3 binary64) alpha)))
(fma.f64 alpha #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) alpha #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 27 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 9 binary64) (.f64 alpha #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 27 binary64))) (neg.f64 (fma.f64 alpha alpha (-.f64 #s(literal 9 binary64) (.f64 alpha #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal 3 binary64) alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) #s(literal 9 binary64)) (-.f64 alpha #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) alpha)) (.f64 (-.f64 #s(literal 3 binary64) alpha) (.f64 alpha alpha))) (.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 3 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)))) (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) #s(literal 9 binary64))) (neg.f64 (-.f64 alpha #s(literal 3 binary64))))
(pow.f64 (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64))
(.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) alpha)))

simplify441.0ms (3.2%)

Memory

-39.4MiB live, 746.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
7 144×	`+-lowering-+.f64`
7 144×	`+-lowering-+.f32`
4 822×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	776	5766
1	2647	5517
0	8191	5234

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(+ 1 beta)
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(+ 1 alpha)
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(/ (+ 1 beta) (+ 2 beta))
(+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(/ (+ 1 alpha) (+ 2 alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ 1 alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
(* -1 (- (* -1 alpha) 1))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
1
(+ 1 (* beta (+ 1 alpha)))
(+ 1 (* beta (+ 1 alpha)))
(+ 1 (* beta (+ 1 alpha)))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (/ 1 beta))))
(* beta (+ 1 (+ alpha (/ 1 beta))))
(* beta (+ 1 (+ alpha (/ 1 beta))))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))
(* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))
(* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))
(+ 1 beta)
(+ 1 (+ beta (* alpha beta)))
(+ 1 (+ beta (* alpha beta)))
(+ 1 (+ beta (* alpha beta)))
(* alpha beta)
(* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))
(* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))
(* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))
(* alpha beta)
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))
1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* -1/36 alpha))
(* -1/36 alpha)
(* alpha (- (* 1/12 (/ 1 alpha)) 1/36))
(* alpha (- (* 1/12 (/ 1 alpha)) 1/36))
(* alpha (- (* 1/12 (/ 1 alpha)) 1/36))
(* -1/36 alpha)
(* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))
(* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))
(* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))
1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(* 2/81 (pow alpha 3))
(* (pow alpha 3) (- 2/81 (* 5/432 (/ 1 alpha))))
(* (pow alpha 3) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* (pow alpha 3) (- (+ 2/81 (* 1/12 (/ 1 (pow alpha 3)))) (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha)))))
(* 2/81 (pow alpha 3))
(* -1 (* (pow alpha 3) (- (* 5/432 (/ 1 alpha)) 2/81)))
(* -1 (* (pow alpha 3) (- (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha))) 2/81)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/12 (/ 1 alpha))) alpha)) 5/432) alpha)) 2/81)))
-1/36
(- (* -5/432 alpha) 1/36)
(- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)
(- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)
(* 2/81 (pow alpha 2))
(* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* 2/81 (pow alpha 2))
(* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
-5/432
(- (* 2/81 alpha) 5/432)
(- (* 2/81 alpha) 5/432)
(- (* 2/81 alpha) 5/432)
(* 2/81 alpha)
(* alpha (- 2/81 (* 5/432 (/ 1 alpha))))
(* alpha (- 2/81 (* 5/432 (/ 1 alpha))))
(* alpha (- 2/81 (* 5/432 (/ 1 alpha))))
(* 2/81 alpha)
(* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))
(* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))
(* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))
1/6
(+ 1/6 (* 1/36 alpha))
(+ 1/6 (* alpha (+ 1/36 (* -11/216 alpha))))
(+ 1/6 (* alpha (+ 1/36 (* alpha (- (* 49/1296 alpha) 11/216)))))
(/ 1 alpha)
(/ (- 1 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 14 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 14 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 46 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 14 (/ 1 alpha)) 4) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 46 (/ 1 alpha)) 14) alpha)) 4) alpha)) 1) alpha))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
6
(+ 6 (* 5 alpha))
(+ 6 (* alpha (+ 5 alpha)))
(+ 6 (* alpha (+ 5 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 5 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 6 (pow alpha 2)))))
5
(+ 5 alpha)
(+ 5 alpha)
(+ 5 alpha)
alpha
(* alpha (+ 1 (* 5 (/ 1 alpha))))
(* alpha (+ 1 (* 5 (/ 1 alpha))))
(* alpha (+ 1 (* 5 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 5 (/ 1 alpha))))
(* alpha (+ 1 (* 5 (/ 1 alpha))))
(* alpha (+ 1 (* 5 (/ 1 alpha))))
1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(/ 1 (pow alpha 2))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))
(/ 1 (pow alpha 2))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
12
(+ 12 (* 16 alpha))
(+ 12 (* alpha (+ 16 (* 7 alpha))))
(+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))
4
(+ 4 (* 4 alpha))
(+ 4 (* alpha (+ 4 alpha)))
(+ 4 (* alpha (+ 4 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(+ 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)))
3
(+ 3 alpha)
(+ 3 alpha)
(+ 3 alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))

Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+.f64 (fma.f64 alpha (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (neg.f64 alpha) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))))
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(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(fma.f64 beta (+.f64 beta (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(fma.f64 beta (+.f64 beta (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (*.f64 beta beta)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (*.f64 beta beta)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -3 binary64) alpha)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (-.f64 #s(literal -3 binary64) alpha))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (-.f64 #s(literal -3 binary64) alpha))) beta)))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(+ 2 (+ alpha beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(+ 2 (+ alpha beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(neg.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(neg.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(neg.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha)))
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
(+ 2 (+ alpha beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(+ 2 (+ alpha beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(+ 2 (+ alpha beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(neg.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(neg.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(neg.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta)))
3
#s(literal 3 binary64)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 3 binary64) alpha) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 3 binary64) alpha) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 3 binary64) alpha) alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 3 binary64) alpha) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 3 binary64) alpha) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 3 binary64) alpha) alpha)

eval200.0ms (1.4%)

Memory: 33.7MiB live, 474.6MiB allocated
Compiler: Compiled 51 614 to 4 167 computations (91.9% saved)

prune234.0ms (1.7%)

Memory

-20.8MiB live, 470.5MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 295	5	1 300
Fresh	2	27	29
Picked	2	3	5
Done	0	4	4
Total	1 299	39	1 338

Accuracy

99.7%

Counts

1 338 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	45.6%	(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	45.6%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓	46.9%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	46.8%	(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	46.3%	(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
✓	46.8%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	47.6%	(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	54.2%	(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.7%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	61.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	54.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
	54.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	53.3%	(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	34.5%	(/.f64 (/.f64 alpha beta) beta)
	50.4%	(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
	85.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	46.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	85.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	46.9%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
✓	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
	58.4%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	50.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
	51.7%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	51.6%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	48.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
✓	31.7%	(/.f64 alpha (*.f64 beta beta))
	54.9%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	54.2%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	48.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	48.1%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	6.0%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	5.9%	(/.f64 #s(literal 1 binary64) beta)
	47.2%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	34.4%	(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
	17.4%	(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
	5.0%	(*.f64 alpha #s(literal -1/36 binary64))
✓	46.5%	#s(literal 1/12 binary64)

Compiler

Compiled 1 222 to 517 computations (57.7% saved)

regimes49.0ms (0.4%)

Memory

28.3MiB live, 103.5MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

3 calls:

17.0ms

alpha

16.0ms

beta

13.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`alpha`
99.6%	2	`beta`
99.6%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes38.0ms (0.3%)

Memory

-9.6MiB live, 31.9MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

1 calls:

36.0ms

beta

Results

Accuracy	Segments	Branch
99.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes60.0ms (0.4%)

Memory

14.7MiB live, 91.5MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

3 calls:

30.0ms

beta

15.0ms

alpha

13.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`alpha`
99.4%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.4%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes18.0ms (0.1%)

Memory

4.4MiB live, 41.2MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

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

Calls

1 calls:

16.0ms

beta

Results

Accuracy	Segments	Branch
99.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory

-20.5MiB live, 35.7MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))

Outputs

(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))

Calls

1 calls:

19.0ms

beta

Results

Accuracy	Segments	Branch
99.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes45.0ms (0.3%)

Memory

-20.0MiB live, 94.9MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

Outputs

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

(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))

Calls

3 calls:

15.0ms

beta

14.0ms

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

14.0ms

alpha

Results

Accuracy	Segments	Branch
98.0%	2	`alpha`
98.7%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
98.7%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes18.0ms (0.1%)

Memory

6.2MiB live, 48.8MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 5 binary64)) beta))) (.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))

Calls

1 calls:

16.0ms

beta

Results

Accuracy	Segments	Branch
98.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

4.7MiB live, 42.2MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))

(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))

Calls

1 calls:

14.0ms

beta

Results

Accuracy	Segments	Branch
98.2%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-9.5MiB live, 29.1MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))

(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)

Calls

1 calls:

11.0ms

beta

Results

Accuracy	Segments	Branch
98.2%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))

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

Calls

1 calls:

10.0ms

beta

Results

Accuracy	Segments	Branch
98.2%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-9.9MiB live, 28.0MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))

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

Calls

1 calls:

12.0ms

beta

Results

Accuracy	Segments	Branch
98.2%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes48.0ms (0.3%)

Memory

1.3MiB live, 42.9MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))

Outputs

(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))

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

Calls

2 calls:

38.0ms	alpha
9.0ms	beta

Results

Accuracy	Segments	Branch
74.2%	3	`alpha`
98.0%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 #s(literal 1 binary64) beta))

Outputs

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

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
97.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes60.0ms (0.4%)

Memory

-30.1MiB live, 45.6MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))

Outputs

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

(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))

(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

28.0ms

beta

7.0ms

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

Results

Accuracy	Segments	Branch
96.7%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
97.4%	3	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes9.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

(/.f64 (/.f64 alpha beta) beta)

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
97.4%	3	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

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

(/.f64 (/.f64 alpha beta) beta)

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
97.2%	3	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

-17.9MiB live, 19.9MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 alpha #s(literal 2 binary64))))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

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

Calls

2 calls:

23.0ms

beta

6.0ms

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

Results

Accuracy	Segments	Branch
94.6%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
94.6%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes11.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))

Calls

2 calls:

5.0ms

beta

4.0ms

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

Results

Accuracy	Segments	Branch
91.1%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
91.1%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes21.0ms (0.1%)

Memory

-30.3MiB live, 9.3MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

(/.f64 #s(literal 1 binary64) (*.f64 beta beta))

Calls

1 calls:

20.0ms

beta

Results

Accuracy	Segments	Branch
91.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (.f64 (.f64 alpha alpha) #s(literal 2/81 binary64)) #s(literal 1/12 binary64))

Outputs
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
91.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))

Outputs
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))

Calls

3 calls:

4.0ms

beta

4.0ms

alpha

3.0ms

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

Results

Accuracy	Segments	Branch
52.3%	3	`alpha`
63.9%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
61.2%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))

Outputs
(.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
61.6%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 37 to 14 computations (62.2% saved)

regimes40.0ms (0.3%)

Memory

-23.5MiB live, 16.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))

Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))

Calls

3 calls:

33.0ms

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

3.0ms

beta

3.0ms

alpha

Results

Accuracy	Segments	Branch
47.2%	1	`alpha`
47.2%	1	`beta`
47.2%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes9.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

Outputs
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)

Calls

3 calls:

3.0ms

beta

3.0ms

alpha

2.0ms

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

Results

Accuracy	Segments	Branch
46.8%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
46.8%	1	`alpha`
48.7%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes16.0ms (0.1%)

Memory

-32.1MiB live, 6.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)

Outputs
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)

Calls

1 calls:

15.0ms

beta

Results

Accuracy	Segments	Branch
48.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))

Outputs
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))

Calls

3 calls:

2.0ms

beta

2.0ms

alpha

2.0ms

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

Results

Accuracy	Segments	Branch
46.8%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
46.8%	1	`alpha`
46.8%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes5.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total -27.1b remaining (-79.1%)

Threshold costs -27.1b (-79.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(*.f64 alpha #s(literal -1/36 binary64))

Outputs
#s(literal 1/12 binary64)

Calls

3 calls:

2.0ms

beta

1.0ms

alpha

1.0ms

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

Results

Accuracy	Segments	Branch
46.5%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
46.5%	1	`alpha`
46.5%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0372511303145389e+135	4.2581705476840486e+135

Samples

1.0ms

16×

valid

Compiler

Compiled 120 to 56 computations (53.3% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

-29.4MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
19.0ms	1.0372511303145389e+135	4.2581705476840486e+135

Samples

18.0ms

32×

valid

Compiler

Compiled 190 to 95 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (61.7% of total)

ival-add: 1.0ms (61.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.0372511303145389e+135	4.2581705476840486e+135

Samples

2.0ms

32×

valid

Compiler

Compiled 170 to 85 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (59.7% of total)

ival-add: 1.0ms (59.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.0372511303145389e+135	4.2581705476840486e+135

Samples

2.0ms

32×

valid

Compiler

Compiled 152 to 87 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (59.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

-31.1MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.0372511303145389e+135	4.2581705476840486e+135

Samples

12.0ms

96×

valid

Compiler

Compiled 322 to 193 computations (40.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (41.3% of total)

ival-div: 1.0ms (20.7% of total)

ival-mult: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3514460200136707.5	90504441175604210.0

Samples

8.0ms

112×

valid

Compiler

Compiled 334 to 208 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (53% of total)

ival-div: 2.0ms (35.3% of total)

ival-mult: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-10.8MiB live, 28.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3514460200136707.5	90504441175604210.0

Samples

9.0ms

112×

valid

Compiler

Compiled 320 to 208 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.7% of total)

ival-add: 2.0ms (33.7% of total)

ival-mult: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch49.0ms (0.3%)

Memory

-8.0MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	3514460200136707.5	90504441175604210.0

Samples

8.0ms

112×

valid

Compiler

Compiled 285 to 194 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (51.1% of total)

ival-div: 2.0ms (34% of total)

ival-mult: 1.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3514460200136707.5	90504441175604210.0

Samples

8.0ms

112×

valid

Compiler

Compiled 257 to 173 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (52.2% of total)

ival-div: 2.0ms (34.8% of total)

ival-mult: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3514460200136707.5	90504441175604210.0

Samples

8.0ms

112×

valid

Compiler

Compiled 229 to 152 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.2% of total)

ival-add: 2.0ms (34.2% of total)

ival-mult: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

-15.5MiB live, 23.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3514460200136707.5	90504441175604210.0

Samples

9.0ms

112×

valid

Compiler

Compiled 222 to 152 computations (31.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (50.4% of total)

ival-div: 2.0ms (33.6% of total)

ival-mult: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.2%)

Memory

-18.7MiB live, 24.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	3.3596796907742488	327167.2236741096

Samples

11.0ms

144×

valid

Compiler

Compiled 274 to 190 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.4% of total)

ival-div: 2.0ms (26.3% of total)

ival-mult: 2.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3596796907742488	327167.2236741096

Samples

11.0ms

144×

valid

Compiler

Compiled 256 to 181 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.2% of total)

ival-div: 2.0ms (26.1% of total)

ival-mult: 2.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch58.0ms (0.4%)

Memory

8.1MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.085968452716022e+154	2.558001761952604e+154
46.0ms	3.3596796907742488	327167.2236741096

Samples

47.0ms

224×

valid

Compiler

Compiled 402 to 283 computations (29.6% saved)

Precisions

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

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

ival-add: 5.0ms (11.9% of total)

ival-mult: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch52.0ms (0.4%)

Memory

-30.5MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.085968452716022e+154	2.558001761952604e+154
35.0ms	3.3596796907742488	327167.2236741096

Samples

37.0ms

224×

valid

Compiler

Compiled 346 to 241 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 24.0ms (75.8% of total)

ival-add: 5.0ms (15.8% of total)

ival-mult: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Memory

3.6MiB live, 48.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.085968452716022e+154	2.558001761952604e+154
16.0ms	3.3596796907742488	327167.2236741096

Samples

26.0ms

224×

valid

Compiler

Compiled 337 to 232 computations (31.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 14.0ms (68.1% of total)

ival-div: 4.0ms (19.5% of total)

ival-mult: 3.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Memory

9.8MiB live, 48.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.3596796907742488	327167.2236741096

Samples

19.0ms

144×

valid

Compiler

Compiled 247 to 172 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (40.2% of total)

ival-div: 2.0ms (26.8% of total)

ival-mult: 2.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Memory

-7.1MiB live, 31.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	8.117718639506732e-6	3.3596796907742488

Samples

11.0ms

144×

valid

Compiler

Compiled 247 to 181 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (40% of total)

ival-div: 2.0ms (26.7% of total)

ival-mult: 2.0ms (26.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.1%)

Memory

-7.3MiB live, 30.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3596796907742488	327167.2236741096

Samples

10.0ms

144×

valid

Compiler

Compiled 229 to 163 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (41.6% of total)

ival-div: 2.0ms (27.7% of total)

ival-mult: 2.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3596796907742488	327167.2236741096

Samples

11.0ms

144×

valid

Compiler

Compiled 202 to 145 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (41.2% of total)

ival-div: 2.0ms (27.4% of total)

ival-mult: 2.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.08334175178909252	+inf
0.0ms	1.4093895575712263e-177	1.1627779527078183e-176

Compiler

Compiled 40 to 19 computations (52.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4093895575712263e-177	1.1627779527078183e-176

Compiler

Compiled 40 to 19 computations (52.5% saved)

bsearch42.0ms (0.3%)

Memory

-9.1MiB live, 31.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.3596796907742488	327167.2236741096

Samples

35.0ms

144×

valid

Compiler

Compiled 184 to 136 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 28.0ms (88.1% of total)

ival-div: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

-3.5MiB live, 34.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.3596796907742488	327167.2236741096

Samples

13.0ms

144×

valid

Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (50.9% of total)

ival-div: 2.0ms (20.4% of total)

ival-mult: 2.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify33.0ms (0.2%)

Memory

-4.0MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Rules

92×	`+-commutative_binary64`
64×	`*-commutative_binary64`
42×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`
40×	`sub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	184	845
1	235	845
2	246	845
3	263	845
4	285	845
5	314	843
6	344	843
7	365	843
8	385	843
9	394	843
10	400	843
11	403	843
12	404	843

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 3999999999999999847318763367259759453796941345107140605781616493820401616222622762704766840658378241474809158322128284365245045534621696 binary64)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 6900000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 33000000000000000 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
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(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

Outputs
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(if (<=.f64 beta #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
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(if (<=.f64 beta #s(literal 7 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 7 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 2308094809027379/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (if (<=.f64 beta #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 2308094809027379/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (if (<=.f64 beta #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (if (<=.f64 beta #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (if (<=.f64 beta #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (if (<=.f64 beta #s(literal 16999999999999998692972857132366065798155899589709298105133964844740320527450767016734031613388563093008016560944178585460235381171202656848255151138406400 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (if (<=.f64 beta #s(literal 16999999999999998692972857132366065798155899589709298105133964844740320527450767016734031613388563093008016560944178585460235381171202656848255151138406400 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 4841369599423283/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 4841369599423283/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal 2/81 binary64)) (if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 #s(literal 2/81 binary64) (.f64 alpha (.f64 alpha alpha))) (if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 (.f64 alpha (*.f64 alpha alpha)) #s(literal 2/81 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 #s(literal 2/81 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 9 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) beta))
(if (<=.f64 beta #s(literal 10 binary64)) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) beta))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

soundness1.5s (10.8%)

Memory

7.2MiB live, 1 816.3MiB allocated

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
7 144×	`+-lowering-+.f64`
7 144×	`+-lowering-+.f32`
7 140×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	776	5766
1	2647	5517
0	8191	5234
0	904	5260
1	2970	5063
0	8186	4924
0	26	115
1	204	115
2	1966	115
0	8967	115
0	24	99
1	208	99
2	2047	99
0	8309	99
0	676	5446
1	2405	5222
0	8136	4956
0	620	3076
1	1953	2938
2	6223	2859
0	8594	2771
0	14	69
1	111	61
2	1149	61
0	8157	58

Stop Event

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

Compiler

Compiled 2 323 to 1 119 computations (51.8% saved)

preprocess167.0ms (1.2%)

Memory: -21.6MiB live, 420.5MiB allocated
Compiler: Compiled 2 044 to 492 computations (75.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	184	845
1	235	845
2	246	845
3	263	845
4	285	845
5	314	843
6	344	843
7	365	843
8	385	843
9	394	843
10	400	843
11	403	843
12	404	843

Iter	Nodes	Cost
0	184	845
1	235	845
2	246	845
3	263	845
4	285	845
5	314	843
6	344	843
7	365	843
8	385	843
9	394	843
10	400	843
11	403	843
12	404	843

Iter	Nodes	Cost
0	184	845
1	235	845
2	246	845
3	263	845
4	285	845
5	314	843
6	344	843
7	365	843
8	385	843
9	394	843
10	400	843
11	403	843
12	404	843