Metrics for Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

analyze23.0ms (0.3%)

Memory

7.8MiB live, 46.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample870.0ms (10.1%)

Memory

16.1MiB live, 1 267.9MiB allocated

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-div: 147.0ms (41.5% of total)

ival-mult: 112.0ms (31.6% of total)

ival-add: 81.0ms (22.9% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess382.0ms (4.4%)

Memory

29.2MiB live, 111.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 086×	`div-sub`
1 020×	`unsub-neg`
896×	`sub-neg`
818×	`distribute-lft-in`
792×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	65
1	81	57
2	207	55
3	680	55
4	1654	55
5	3109	55
6	4447	55
7	5053	55
8	5609	55
9	6055	55
10	6151	55
11	6653	55
12	7061	55
13	7281	55
14	7593	55
15	7817	55
16	7825	55
17	7825	55
0	8	11
0	13	11
1	26	11
2	35	11
3	63	11
4	100	11
5	157	11
6	238	11
7	269	11
8	275	11
9	289	11
10	291	11
11	291	11
12	292	11
13	294	11
14	302	11
0	302	10

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))

explain103.0ms (1.2%)

Memory

-30.2MiB live, 238.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`(/.f64 x y)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`	o/n	25	0
↳	`(/.f64 x y)`	overflow	36
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	61
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	36

Confusion

	Predicted +	Predicted -
+	25	0
-	0	231

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	0	0	231

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 94 to 36 computations (61.7% saved)

Precisions

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

ival-div: 8.0ms (46.3% of total)

ival-add: 5.0ms (28.9% of total)

ival-mult: 3.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify18.0ms (0.2%)

Memory

-2.4MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Rules

166×	`lower-*.f32`
164×	`lower-*.f64`
98×	`associate-r`
92×	`lower-fma.f64`
92×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))

Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) x)
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))

localize51.0ms (0.6%)

Memory

-11.9MiB live, 29.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	90.8%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 4.0ms (50.6% of total)

ival-add: 2.0ms (25.3% of total)

ival-mult: 2.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (/.f64 x y)>
#<alt (+.f64 x #s(literal 1 binary64))>

Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (* x (+ (/ x y) 1)) (+ x 1))
1.0ms	x	@	inf	(* x (+ (/ x y) 1))
1.0ms	x	@	-inf	(* x (+ (/ x y) 1))
0.0ms	x	@	0	(* x (+ (/ x y) 1))
0.0ms	y	@	0	(* x (+ (/ x y) 1))

simplify591.0ms (6.9%)

Memory

4.0MiB live, 793.7MiB allocated

Algorithm

1×	egg-herbie

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
4 414×	`lower-*.f64`
4 414×	`lower-*.f32`
3 134×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

Inputs
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (.f64 x x) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x))))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) x)) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite248.0ms (2.9%)

Memory

-2.8MiB live, 515.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 588×	`lower-*.f32`
3 586×	`lower-*.f64`
3 312×	`lower-/.f32`
3 308×	`lower-/.f64`
3 296×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27

Stop Event

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

Counts

5 → 397

Calls

Call 1

Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))

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

eval76.0ms (0.9%)

Memory: 0.2MiB live, 116.3MiB allocated
Compiler: Compiled 10 937 to 1 188 computations (89.1% saved)

prune108.0ms (1.3%)

Memory

-4.3MiB live, 73.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	491	8	499
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	492	8	500

Accuracy

100.0%

Counts

500 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.1%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
▶	52.8%	(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
▶	48.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	49.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (.f64 x x) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x))
▶	61.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
	55.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	43.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))

Compiler

Compiled 208 to 106 computations (49% saved)

simplify293.0ms (3.4%)

Memory

29.5MiB live, 223.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))
✓	cost-diff	0	(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64))
✓	cost-diff	15232	(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	0	#s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y))
✓	cost-diff	0	(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 (/.f64 x y) x)
✓	cost-diff	0	(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))

Rules

4 688×	`lower-fma.f32`
4 682×	`lower-fma.f64`
2 762×	`lower-*.f32`
2 758×	`lower-*.f64`
1 742×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	203
0	45	190
1	78	181
2	116	181
3	219	181
4	378	181
5	678	181
6	1144	181
7	1906	181
8	3067	181
9	5214	181
10	7090	181
0	8069	181

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
x
(-.f64 (/.f64 x y) x)
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
#s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x (/.f64 x y) x)
(/.f64 x y)
y
#s(literal -1/2 binary64)

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
x
(-.f64 (/.f64 x y) x)
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
#s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x (/.f64 x y) x)
(/.f64 x y)
y
#s(literal -1/2 binary64)

localize302.0ms (3.5%)

Memory

-15.7MiB live, 157.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (/.f64 x y) x)
✓	accuracy	99.7%	(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
✓	accuracy	95.5%	(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))
✓	accuracy	93.4%	(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	95.6%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	91.0%	(/.f64 (*.f64 x x) y)
✓	accuracy	65.8%	#s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	74.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	59.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 x y) x)
✓	accuracy	100.0%	(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓	accuracy	73.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))

Samples

240.0ms	147×	0	valid
18.0ms	109×	0	invalid

Compiler

Compiled 178 to 26 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-div: 62.0ms (44% of total)

ival-sub: 57.0ms (40.5% of total)

ival-mult: 9.0ms (6.4% of total)

ival-add: 7.0ms (5% of total)

ival-pow: 4.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (0.9%)

Memory

-12.4MiB live, 29.6MiB allocated

Counts

18 → 384

Calls

Call 1

Inputs
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))>
#<alt (fma.f64 x (-.f64 (/.f64 x y) x) x)>
#<alt (-.f64 (/.f64 x y) x)>
#<alt (/.f64 x y)>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))>
#<alt #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y))>
#<alt (/.f64 (*.f64 x x) y)>
#<alt (*.f64 x x)>
#<alt (*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))>
#<alt (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64))>
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 x (/.f64 x y) x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* 1/2 (* (sqrt (pow x 3)) (- (/ 1 y) 1))))>
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (* (sqrt x) (- 1 (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 x)) (- (/ 1 y) 1))))))>
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (- (/ 1 y) 1))) (* x (+ (* 1/2 (* (sqrt x) (- (/ 1 y) (+ 1 (* 1/4 (/ (pow (- (/ 1 y) 1) 2) x)))))) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (/ 1 y)))))))))>
#<alt (sqrt (/ x y))>
#<alt (* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ y (pow x 3))) (- 1 (/ 1 y))))))>
#<alt (* x (+ (sqrt (/ 1 (* x y))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (- 1 (/ 1 y)))) (* 1/2 (* (sqrt (/ y (pow x 5))) (- (/ 1 y) 1))))))>
#<alt (* x (+ (sqrt (/ 1 (* x y))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (- 1 (/ 1 y)))) (+ (* 1/2 (* (sqrt (/ y (pow x 5))) (- (/ 1 y) 1))) (* 1/2 (* (sqrt (/ y (pow x 7))) (- 1 (+ (* 1/4 (* x (* y (pow (- 1 (/ 1 y)) 2)))) (/ 1 y)))))))))>
#<alt (* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (- 1 (/ 1 y)))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ y (pow x 5))) (- 1 (/ 1 y)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (- 1 (/ 1 y)))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (- 1 (/ 1 y)))) (* 1/2 (* (sqrt (/ y x)) (+ (* -1 (- 1 (/ 1 y))) (* -1/4 (/ (* x (* y (pow (- 1 (/ 1 y)) 2))) (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (- 1 (/ 1 y)))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))>
#<alt (* x (sqrt (/ 1 (* y (+ 1 x)))))>
#<alt (/ (+ (* 1/2 (sqrt (/ (pow y 3) (+ 1 x)))) (* x (sqrt (/ y (+ 1 x))))) y)>
#<alt (/ (+ (* x (sqrt (/ y (+ 1 x)))) (* (pow y 2) (+ (* -1/8 (* (/ 1 x) (sqrt (/ y (+ 1 x))))) (* 1/2 (sqrt (/ 1 (* y (+ 1 x)))))))) y)>
#<alt (/ (+ (* x (sqrt (/ y (+ 1 x)))) (* (pow y 2) (+ (* 1/2 (sqrt (/ 1 (* y (+ 1 x))))) (* (pow y 2) (+ (* -1/8 (* (/ 1 x) (sqrt (/ 1 (* (pow y 3) (+ 1 x)))))) (* 1/16 (* (/ 1 (pow x 2)) (sqrt (/ 1 (* y (+ 1 x))))))))))) y)>
#<alt (sqrt (/ x (+ 1 x)))>
#<alt (+ (sqrt (/ x (+ 1 x))) (* 1/2 (* (sqrt (/ (pow x 3) (+ 1 x))) (/ 1 y))))>
#<alt (+ (sqrt (/ x (+ 1 x))) (+ (* -1/8 (* (sqrt (/ (pow x 5) (+ 1 x))) (/ 1 (pow y 2)))) (* 1/2 (* (sqrt (/ (pow x 3) (+ 1 x))) (/ 1 y)))))>
#<alt (+ (sqrt (/ x (+ 1 x))) (+ (* -1/8 (* (sqrt (/ (pow x 5) (+ 1 x))) (/ 1 (pow y 2)))) (+ (* 1/16 (* (sqrt (/ (pow x 7) (+ 1 x))) (/ 1 (pow y 3)))) (* 1/2 (* (sqrt (/ (pow x 3) (+ 1 x))) (/ 1 y))))))>
#<alt (sqrt (/ x (+ 1 x)))>
#<alt (+ (sqrt (/ x (+ 1 x))) (* 1/2 (* (sqrt (/ (pow x 3) (+ 1 x))) (/ 1 y))))>
#<alt (+ (sqrt (/ x (+ 1 x))) (* -1 (/ (+ (* -1/2 (sqrt (/ (pow x 3) (+ 1 x)))) (* 1/8 (* (sqrt (/ (pow x 5) (+ 1 x))) (/ 1 y)))) y)))>
#<alt (+ (sqrt (/ x (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ (pow x 5) (+ 1 x)))) (* 1/16 (* (sqrt (/ (pow x 7) (+ 1 x))) (/ 1 y)))) y)) (* -1/2 (sqrt (/ (pow x 3) (+ 1 x))))) y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x (- 1 (/ 1 y)))) x)>
#<alt (/ (+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y)))) x)>
#<alt (/ (+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y)))) x)>
#<alt (/ y x)>
#<alt (/ (- (+ y (/ y x)) (/ (pow y 2) x)) x)>
#<alt (/ (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) x)>
#<alt (/ (- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- y (pow y 2)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (* y (- y (pow y 2))) x))) (pow y 2)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (pow y 2))) x)) (* -1 (* y (- y (pow y 2))))) x))) (pow y 2)) x))) x))>
#<alt (/ (* y (+ 1 x)) (pow x 2))>
#<alt (* y (+ (* -1 (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* y (+ (* y (- (/ (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 4)) (/ 1 (pow x 5))))) (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x)))>
#<alt (- (+ 1 (+ (/ 1 x) (/ (* x (+ 1 x)) (pow y 2)))) (+ (/ 1 y) (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 3))) (/ 1 x))) (+ (* -1 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (/ x y))))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x)))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 (/ (* x (+ 1 x)) y)) (* -1 (+ 1 x))) y)) (/ 1 x)))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y)) (* -1 (+ 1 x))) y)) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>

Calls

96 calls:

Time	Variable		Point	Expression
59.0ms	x	@	-inf	(+ x -1)
1.0ms	y	@	-inf	(+ (* x (- (/ x y) x)) x)
1.0ms	y	@	0	(pow (/ (+ x 1) (+ (* x (/ x y)) x)) -1/2)
1.0ms	x	@	-inf	(pow (/ (+ x 1) (+ (* x (/ x y)) x)) -1/2)
1.0ms	x	@	inf	(pow (/ (+ x 1) (+ (* x (/ x y)) x)) -1/2)

simplify674.0ms (7.8%)

Memory

-1.6MiB live, 798.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 034×	`lower-fma.f64`
13 034×	`lower-fma.f32`
5 780×	`lower-+.f64`
5 780×	`lower-+.f32`
4 142×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	4406
1	1312	4240
2	4076	3826
0	8300	3682

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 368

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
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1
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Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
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(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
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(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
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(*.f64 x (-.f64 (/.f64 x y) x))
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(fma.f64 x (-.f64 (/.f64 x y) x) x)
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(fma.f64 x (-.f64 (/.f64 x y) x) x)
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(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
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(fma.f64 x (-.f64 (/.f64 x y) x) x)
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(fma.f64 x (-.f64 (/.f64 x y) x) x)
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(/.f64 (fma.f64 x x (.f64 y (-.f64 x (.f64 x x)))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 x x (.f64 y (-.f64 x (.f64 x x)))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 x x (.f64 y (-.f64 x (.f64 x x)))) y)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
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(/ (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) x)
(/.f64 (fma.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y y)) x) y) x)
(/ (- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x))) x)
(/.f64 (fma.f64 (.f64 y y) (/.f64 (-.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y y)) x) y)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- y (pow y 2)) x))) x))
(/.f64 (+.f64 y (/.f64 (-.f64 y (*.f64 y y)) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (* y (- y (pow y 2))) x))) (pow y 2)) x))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y y)) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (pow y 2))) x)) (* -1 (* y (- y (pow y 2))))) x))) (pow y 2)) x))) x))
(/.f64 (+.f64 y (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (-.f64 y (.f64 y y)) (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x)) x)
(/ (* y (+ 1 x)) (pow x 2))
(/.f64 (fma.f64 x y y) (*.f64 x x))
(* y (+ (* -1 (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x (.f64 x x))))) (/.f64 y (.f64 x x)))
(* y (+ (* y (- (/ (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 y (fma.f64 y (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (*.f64 x x)))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 4)) (/ 1 (pow x 5))))) (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (*.f64 x x)))
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) y)))
(- (+ 1 (+ (/ 1 x) (/ (* x (+ 1 x)) (pow y 2)))) (+ (/ 1 y) (/ x y)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)))
(- (+ 1 (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 3))) (/ 1 x))) (+ (* -1 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (/ x y))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (fma.f64 x x x)) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)))
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) y)))
(+ 1 (+ (* -1 (/ (- (* -1 (/ (* x (+ 1 x)) y)) (* -1 (+ 1 x))) y)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)))
(+ 1 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y)) (* -1 (+ 1 x))) y)) (/ 1 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) (neg.f64 x))) y))) y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)

rewrite429.0ms (5%)

Memory

5.9MiB live, 642.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 632×	`lower-*.f32`
4 628×	`lower-*.f64`
4 510×	`lower-/.f32`
4 500×	`lower-/.f64`
4 188×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	179
0	45	166
1	191	157
2	1454	157
0	8229	157

Stop Event

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

Counts

18 → 555

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x #s(literal -1 binary64))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
#s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(+.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x)
(-.f64 (/.f64 (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (-.f64 (/.f64 x y) x)))) (/.f64 (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))) (-.f64 x (.f64 x (-.f64 (/.f64 x y) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x) (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x) (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))) (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))) (fma.f64 x x (-.f64 (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))) (.f64 x (*.f64 x (-.f64 (/.f64 x y) x))))))
(/.f64 (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)) (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))) (.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x))) (neg.f64 (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))) (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)) (.f64 (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x) (.f64 x x))) (.f64 (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x) (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))) (neg.f64 (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x) (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (*.f64 x (-.f64 (/.f64 x y) x)) x))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (-.f64 (/.f64 x y) x)) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (.f64 x (-.f64 (/.f64 x y) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x (-.f64 (/.f64 x y) x))) (.f64 x (.f64 (-.f64 (/.f64 x y) x) (*.f64 x (-.f64 (/.f64 x y) x)))))))
(.f64 (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 (/.f64 x y) x)) x)))
(*.f64 (+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 x y))
(-.f64 (/.f64 x y) x)
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (-.f64 (/.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (/.f64 x y) (neg.f64 x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (neg.f64 x))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y))))
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 (/.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x)) (+.f64 x (/.f64 x y)))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 x y) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 (/.f64 x y) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 x y))))
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(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (/.f64 y (.f64 x x)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 (.f64 x x) y) x))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (/.f64 y (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (.f64 x x) y) x)))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y))) (-.f64 x (/.f64 (.f64 x x) y)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (.f64 x (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) x) (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (-.f64 (/.f64 (.f64 x x) y) x)) (.f64 (-.f64 (/.f64 (.f64 x x) y) x) (.f64 x x))) (.f64 (-.f64 (/.f64 (.f64 x x) y) x) (-.f64 (/.f64 (.f64 x x) y) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 x x) y) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (.f64 x x) y))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 x (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) x)) (neg.f64 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x))) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)))

eval213.0ms (2.5%)

Memory: 41.7MiB live, 256.4MiB allocated
Compiler: Compiled 34 598 to 2 570 computations (92.6% saved)

prune152.0ms (1.8%)

Memory

-34.6MiB live, 336.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1 393	8	1 401
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	1 398	11	1 409

Accuracy

100.0%

Counts

1 409 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 x (/.f64 y x))) (+.f64 x #s(literal 1 binary64)))
	61.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x))
▶	61.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
	44.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
	55.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	48.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
▶	43.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
▶	34.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
▶	17.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
▶	21.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))

Compiler

Compiled 198 to 105 computations (47% saved)

simplify170.0ms (2%)

Memory

20.3MiB live, 140.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x y y)
✓	cost-diff	(/.f64 x (fma.f64 x y y))
✓	cost-diff	(*.f64 x (/.f64 x (fma.f64 x y y)))
✓	cost-diff	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 (*.f64 x x) y)
✓	cost-diff	#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
✓	cost-diff	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
✓	cost-diff	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	cost-diff	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	cost-diff	#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))
✓	cost-diff	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	#s(approx (- (/ x y) x) (/.f64 x y))
✓	cost-diff	(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
✓	cost-diff	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))

Rules

2 096×	`lower-fma.f32`
2 092×	`lower-fma.f64`
1 000×	`lower-*.f32`
996×	`lower-*.f64`
506×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	230
0	45	230
1	81	222
2	129	222
3	267	222
4	444	222
5	674	222
6	975	222
7	1530	222
8	2101	222
9	2557	222
10	2703	222
11	2718	222
12	2724	222
13	2903	222
14	2979	222
15	2991	222
16	2993	222
17	2993	222
0	2993	215

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
x
#s(approx (- (/ x y) x) (/.f64 x y))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
x
(/.f64 x (fma.f64 x y y))
(fma.f64 x y y)
y

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
x
#s(approx (- (/ x y) x) (/.f64 x y))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
x
(/.f64 x (fma.f64 x y y))
(fma.f64 x y y)
y

localize110.0ms (1.3%)

Memory

-6.9MiB live, 109.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y y)
✓	accuracy	99.8%	(*.f64 x (/.f64 x (fma.f64 x y y)))
✓	accuracy	88.7%	(/.f64 x (fma.f64 x y y))
✓	accuracy	47.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	86.1%	(/.f64 (*.f64 x x) y)
✓	accuracy	61.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
✓	accuracy	39.7%	#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	60.1%	#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	accuracy	48.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	accuracy	48.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
✓	accuracy	41.3%	#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.9%	(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
✓	accuracy	61.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
✓	accuracy	51.3%	#s(approx (- (/ x y) x) (/.f64 x y))

Samples

78.0ms

256×

valid

Compiler

Compiled 148 to 25 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 19.0ms (51.8% of total)

ival-mult: 9.0ms (24.5% of total)

ival-add: 7.0ms (19.1% of total)

ival-sub: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-14.9MiB live, 22.9MiB allocated

Counts

18 → 408

Calls

Call 1

Inputs
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))>
#<alt (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)>
#<alt #s(approx (- (/ x y) x) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))>
#<alt #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))>
#<alt #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) y)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))>
#<alt #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))>
#<alt (/.f64 (*.f64 x x) y)>
#<alt (*.f64 x x)>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))>
#<alt (*.f64 x (/.f64 x (fma.f64 x y y)))>
#<alt (/.f64 x (fma.f64 x y y))>
#<alt (fma.f64 x y y)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
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#<alt (* x (- (/ 1 y) 1))>
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#<alt (* x (- (/ 1 y) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
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#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
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#<alt (* -1 x)>
#<alt (- (/ x y) x)>
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#<alt (- (/ x y) x)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt x>
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#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
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#<alt (- (+ 1 (/ x y)) (/ 1 y))>
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#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
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#<alt (- (+ 1 (/ x y)) (/ 1 y))>
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#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ -1 y)>
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#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
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#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
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#<alt (* x (- 1 (/ 1 x)))>
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#<alt (* -1 (* x (- (/ 1 x) 1)))>
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#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
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#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
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#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
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#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
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#<alt (/ (pow x 2) y)>
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#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
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#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
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#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
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#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
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#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
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#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (/ x y)>
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#<alt (* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>

Calls

102 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ (+ x -1) y)
1.0ms	y	@	-inf	(* x (/ x (+ (* x y) y)))
0.0ms	y	@	-inf	(/ x (+ (* x y) y))
0.0ms	y	@	0	(/ x (+ (* x y) y))
0.0ms	y	@	0	(* x (/ x (+ (* x y) y)))

simplify291.0ms (3.4%)

Memory

36.8MiB live, 474.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 846×	`lower-fma.f64`
9 846×	`lower-fma.f32`
3 128×	`lower-*.f64`
3 128×	`lower-*.f32`
2 474×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	4122
1	509	3833
2	1433	3291
3	5037	3086
0	8225	2977

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 398

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
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(* x (- (/ 1 y) 1))
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(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x y)
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(/ x y)
(/ x y)
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(/ x y)
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(/ (pow x 2) (* y (+ 1 x)))
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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(/ (- x 1) y)
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1
(- (+ 1 (/ x y)) (/ 1 y))
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(- (+ 1 (/ x y)) (/ 1 y))
1
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(- (+ 1 (/ x y)) (/ 1 y))
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(/ x y)
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(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
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(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
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(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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(/ x (+ 1 x))
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(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ -1 y)
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(- (/ x y) (/ 1 y))
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(* x (- (/ 1 y) (/ 1 (* x y))))
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(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
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(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
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(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
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(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
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(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
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(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
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(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
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(/ (pow x 2) (* y (+ 1 x)))
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(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
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(/ x y)
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(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
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(* -1 (/ x (* y (- (* -1 x) 1))))
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(* -1 (/ x (* y (- (* -1 x) 1))))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
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(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))

Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x (/.f64 x y)))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x (/.f64 x y)) #s(literal -1 binary64)))) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 x y) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) x))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 (+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (.f64 x (-.f64 (+.f64 x y) (.f64 x y))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (.f64 x (-.f64 (+.f64 x y) (.f64 x y))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (.f64 x (-.f64 (+.f64 x y) (.f64 x y))) y)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (.f64 x (-.f64 (+.f64 x y) (.f64 x y))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (.f64 x (-.f64 (+.f64 x y) (.f64 x y))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (.f64 x (-.f64 (+.f64 x y) (.f64 x y))) y)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x (/.f64 x y)))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x (/.f64 x y)) #s(literal -1 binary64)))) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (/.f64 x y) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) x))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 (+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(.f64 (/.f64 x y) (-.f64 x (.f64 x x)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(.f64 x (fma.f64 x (/.f64 (-.f64 (.f64 x x) x) y) (/.f64 x y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(.f64 x (.f64 x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x) (/.f64 x y))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x y)))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x y)))))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(fma.f64 x (/.f64 (-.f64 (*.f64 x x) x) y) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(.f64 x (.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x y))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x y))))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 x y y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 x y y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 x y y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 x y y))
y
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)

rewrite311.0ms (3.6%)

Memory

-32.5MiB live, 495.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 170×	`lower-/.f32`
5 162×	`lower-/.f64`
5 162×	`lower-*.f32`
5 158×	`lower-*.f64`
3 948×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	220
0	45	212
1	195	212
2	1525	212
0	8469	205

Stop Event

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

Counts

18 → 373

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
#s(approx (- (/ x y) x) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (fma.f64 x y y))
(fma.f64 x y y)

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
(+.f64 x (*.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))
(+.f64 (*.f64 x #s(approx (- (/ x y) x) (/.f64 x y))) x)
(-.f64 (/.f64 (.f64 x (.f64 #s(approx (- (/ x y) x) (/.f64 x y)) (.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))) (/.f64 (.f64 x (.f64 #s(approx (- (/ x y) x) (/.f64 x y)) (.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))) (-.f64 x (.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))
(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
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(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (neg.f64 (fma.f64 x y y))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x y y))) (/.f64 x (neg.f64 (fma.f64 x y y))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x y y))))
(/.f64 x (fma.f64 x y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x y y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x y y))))
(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x y y)))))
(/.f64 (neg.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 y))
(pow.f64 (/.f64 (fma.f64 x y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x y))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 x (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (*.f64 y y)))))
(.f64 (/.f64 x (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 x (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y))) (-.f64 (.f64 x y) y))
(.f64 (/.f64 x (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) y))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (neg.f64 y)))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 x y) y)
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 x y) y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 y (.f64 x y))))
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) y) (.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x y) y) (.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y))) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y))) (fma.f64 y y (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y)) (-.f64 (*.f64 x y) y))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y))) (neg.f64 (-.f64 (*.f64 x y) y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))) (-.f64 y (*.f64 x y)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) y)) (.f64 (-.f64 (.f64 x y) y) (.f64 y y))) (.f64 (-.f64 (.f64 x y) y) (-.f64 (*.f64 x y) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y))))) (neg.f64 (-.f64 y (*.f64 x y))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x y) y) (.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (*.f64 y y))))))
(.f64 (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) y)))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))

eval131.0ms (1.5%)

Memory: 4.7MiB live, 117.8MiB allocated
Compiler: Compiled 10 387 to 1 000 computations (90.4% saved)

prune100.0ms (1.2%)

Memory

14.8MiB live, 92.0MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	768	3	771
Fresh	2	3	5
Picked	0	5	5
Done	0	1	1
Total	770	12	782

Accuracy

100.0%

Counts

782 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
▶	44.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
▶	55.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	48.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
✓	43.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
▶	24.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	34.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	17.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
✓	21.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	24.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 x (/.f64 y x))))
▶	21.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))

Compiler

Compiled 162 to 84 computations (48.1% saved)

simplify179.0ms (2.1%)

Memory

-0.4MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	#s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)))
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
✓	cost-diff	0	(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	#s(approx (- (/ x y) x) (neg.f64 x))
✓	cost-diff	0	(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Rules

2 144×	`lower-fma.f32`
2 142×	`lower-fma.f64`
1 048×	`lower-*.f32`
1 042×	`lower-*.f64`
472×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	226
0	48	226
1	79	220
2	108	220
3	223	220
4	380	220
5	596	220
6	972	220
7	1480	220
8	2159	220
9	2719	220
10	2880	220
11	2907	220
12	2912	220
13	2915	220
14	2986	220
15	3012	220
16	3012	220
0	3012	210

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
x
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
x
#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
#s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x x)
x

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
x
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
x
#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)))
#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
(/.f64 (*.f64 x x) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x x)
x

localize119.0ms (1.4%)

Memory

5.9MiB live, 82.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	86.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
✓	accuracy	61.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
✓	accuracy	39.7%	#s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
✓	accuracy	48.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
✓	accuracy	53.6%	#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
✓	accuracy	47.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
✓	accuracy	61.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
✓	accuracy	50.5%	#s(approx (- (/ x y) x) (neg.f64 x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	55.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Samples

42.0ms

256×

valid

Compiler

Compiled 149 to 26 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 10.0ms (35.2% of total)

ival-mult: 9.0ms (31.7% of total)

ival-add: 7.0ms (24.6% of total)

ival-sub: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))>
#<alt (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)>
#<alt #s(approx (- (/ x y) x) (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))>
#<alt (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))>
#<alt #s(approx (/ x (+ (* x y) y)) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))>
#<alt (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) y)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))>
#<alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))>
#<alt #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 x x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
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#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

102 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (+ x 1))
0.0ms	x	@	0	(/ x (+ x 1))
0.0ms	x	@	-inf	(/ x (+ x 1))
0.0ms	x	@	0	(/ (* x (+ (/ x y) 1)) (+ x 1))
0.0ms	x	@	inf	(* (/ 1 y) (* x x))

simplify574.0ms (6.7%)

Memory

1.1MiB live, 392.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 042×	`lower-fma.f64`
13 042×	`lower-fma.f32`
3 980×	`lower-*.f64`
3 980×	`lower-*.f32`
2 918×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	4061
1	539	3793
2	1465	3125
3	6507	3108
0	8360	2999

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 396

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (*.f64 x x) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) x) (-.f64 (/.f64 x y) x)) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x)))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) x) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) x)) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
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(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite480.0ms (5.6%)

Memory

8.7MiB live, 450.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 426×	`lower-*.f32`
5 420×	`lower-*.f64`
5 052×	`lower-/.f32`
5 044×	`lower-/.f64`
5 002×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	214
0	48	214
1	193	208
2	1408	208
0	8815	198

Stop Event

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

Counts

20 → 346

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
#s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)))
(/.f64 #s(literal 1 binary64) y)
(*.f64 x x)

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 1 binary64) (neg.f64 x))))) (/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 1 binary64) (neg.f64 x))))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
(+.f64 x (*.f64 x #s(approx (- (/ x y) x) (neg.f64 x))))
(+.f64 (*.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) x)
(-.f64 (/.f64 (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))))) (/.f64 (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(approx (- (/ x y) x) (neg.f64 x))))
(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(approx (- (/ x y) x) (neg.f64 x))))
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x)))) (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)) (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x)))) (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)) (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))))))
(/.f64 (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)))) (neg.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x)))) (-.f64 x (*.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))) (.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x #s(approx (- (/ x y) x) (neg.f64 x))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x)))) (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)) (*.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x #s(approx (- (/ x y) x) (neg.f64 x))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x #s(approx (- (/ x y) x) (neg.f64 x)))) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (*.f64 x x))))))
(.f64 (.f64 (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
#s(approx (- (/ x y) x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
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(neg.f64 x)
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(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 y (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (.f64 y y) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x y y) (fma.f64 x y (neg.f64 y)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 y)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 y (.f64 y y) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x y)) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x y y) (fma.f64 x y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 y)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(/.f64 x (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 (*.f64 x x) y)
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 x y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval85.0ms (1%)

Memory: -10.9MiB live, 179.0MiB allocated
Compiler: Compiled 9 805 to 1 006 computations (89.7% saved)

prune58.0ms (0.7%)

Memory

-6.6MiB live, 155.0MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	740	2	742
Fresh	0	1	1
Picked	1	4	5
Done	0	6	6
Total	741	13	754

Accuracy

100.0%

Counts

754 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
✓	44.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
✓	55.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	49.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))
✓	43.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	24.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
	17.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	34.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	17.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
✓	21.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	24.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 x (/.f64 y x))))
✓	21.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))

Compiler

Compiled 313 to 101 computations (67.7% saved)

regimes22.0ms (0.3%)

Memory

10.9MiB live, 50.1MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 x (/.f64 y x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (.f64 x x) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 x (/.f64 y x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

Calls

3 calls:

7.0ms	x
7.0ms	y
6.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
90.8%	1	`y`
100.0%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes13.0ms (0.1%)

Memory

-7.8MiB live, 31.5MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 x (/.f64 y x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))

Calls

2 calls:

6.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
6.0ms	x

Results

Accuracy	Segments	Branch
95.1%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
99.0%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-22.6MiB live, 30.3MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))

Calls

3 calls:

8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
74.4%	5	`y`
86.3%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
86.8%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
86.3%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
86.2%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

-26.2MiB live, 13.0MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
73.2%	4	`x`
85.9%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))

Calls

1 calls:

2.0ms

(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
85.7%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
44.3%	1	`y`
54.7%	3	`x`
59.9%	2	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
17.8%	1	`y`
17.8%	1	`x`
17.8%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch7.0ms (0.1%)

Memory

-24.5MiB live, 14.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
1.0ms	3970424992852454.0	1.0466248745675727e+20
5.0ms	-2.6939589431640854e+28	-7230972845064524000.0

Samples

4.0ms

64×

valid

Compiler

Compiled 112 to 73 computations (34.8% saved)

Precisions

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

ival-div: 1.0ms (49.4% of total)

ival-add: 1.0ms (49.4% 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)

bsearch28.0ms (0.3%)

Memory

17.5MiB live, 56.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.015332876348375858	37.42381369826013
15.0ms	-109.6186973770697	-1.0350813688761048e-17

Samples

15.0ms

288×

valid

Compiler

Compiled 420 to 245 computations (41.7% saved)

Precisions

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

ival-div: 4.0ms (45% of total)

ival-add: 3.0ms (33.8% of total)

ival-mult: 2.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Memory

-29.3MiB live, 11.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.015332876348375858	37.42381369826013
1.0ms	-109.6186973770697	-1.0350813688761048e-17

Samples

40.0ms

64×

valid

Compiler

Compiled 402 to 227 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 37.0ms (95.6% of total)

ival-div: 1.0ms (2.6% of total)

ival-add: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Memory

8.7MiB live, 47.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	37.42381369826013	470344077662240.8
12.0ms	-7230972845064524000.0	-12270395802.398937

Samples

16.0ms

304×

valid

Compiler

Compiled 387 to 261 computations (32.6% saved)

Precisions

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

ival-div: 4.0ms (43% of total)

ival-add: 3.0ms (32.2% of total)

ival-mult: 2.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	37.42381369826013	470344077662240.8
1.0ms	-7230972845064524000.0	-12270395802.398937

Samples

7.0ms

128×

valid

Compiler

Compiled 377 to 241 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.7% of total)

ival-add: 1.0ms (24.8% of total)

ival-mult: 1.0ms (24.8% 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

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.528846044128557e-13	0.8717577887956627
0.0ms	-1.1658476767795785e+24	-3.272000766191866e-20

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.009206518068694	3.8522302496127185e+37
0.0ms	8.083263254915002e-15	2.528846044128557e-13
0.0ms	-1.1658476767795785e+24	-3.272000766191866e-20

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch2.0ms (0%)

Memory

-37.7MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.009206518068694	3.8522302496127185e+37
0.0ms	8.083263254915002e-15	2.528846044128557e-13
0.0ms	-1.1658476767795785e+24	-3.272000766191866e-20

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.083263254915002e-15	2.528846044128557e-13

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	755
1	101	755
2	104	755
3	105	755

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1000000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5000000000000000 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -48000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 12500 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -48000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 560000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal -1000000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5000000000000000 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1000000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 5000000000000000 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -48000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 12500 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -48000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 12500 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -48000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 560000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -48000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 x #s(literal 560000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -999999999999999983222784 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

soundness1.0s (12%)

Memory

-6.3MiB live, 825.6MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
13 042×	`lower-fma.f64`
13 042×	`lower-fma.f32`
13 034×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	4061
1	539	3793
2	1465	3125
3	6507	3108
0	8360	2999
0	28	179
0	45	166
1	191	157
2	1454	157
0	8229	157
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612
0	439	4406
1	1312	4240
2	4076	3826
0	8300	3682

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×	iter limit
1×	node limit

Compiler

Compiled 703 to 295 computations (58% saved)

preprocess101.0ms (1.2%)

Memory: 8.4MiB live, 170.4MiB allocated
Compiler: Compiled 760 to 156 computations (79.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30

analyze23.0ms (0.3%)

sample870.0ms (10.1%)

preprocess382.0ms (4.4%)

explain103.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize51.0ms (0.6%)

series7.0ms (0.1%)

simplify591.0ms (6.9%)

rewrite248.0ms (2.9%)

eval76.0ms (0.9%)

prune108.0ms (1.3%)

simplify293.0ms (3.4%)

localize302.0ms (3.5%)

series78.0ms (0.9%)

simplify674.0ms (7.8%)

rewrite429.0ms (5%)

eval213.0ms (2.5%)

prune152.0ms (1.8%)

simplify170.0ms (2%)

localize110.0ms (1.3%)

series15.0ms (0.2%)

simplify291.0ms (3.4%)

rewrite311.0ms (3.6%)

eval131.0ms (1.5%)

prune100.0ms (1.2%)

simplify179.0ms (2.1%)

localize119.0ms (1.4%)

series7.0ms (0.1%)

simplify574.0ms (6.7%)

rewrite480.0ms (5.6%)

eval85.0ms (1%)

prune58.0ms (0.7%)

regimes22.0ms (0.3%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

regimes16.0ms (0.2%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch7.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch44.0ms (0.5%)

bsearch46.0ms (0.5%)

bsearch13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.0s (12%)

preprocess101.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30