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

analyze46.0ms (0.5%)

Memory

15.5MiB live, 48.5MiB 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)

sample851.0ms (8.8%)

Memory

-4.5MiB live, 1 306.7MiB allocated

Samples

634.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-div: 209.0ms (49.1% of total)

ival-mult: 128.0ms (30.1% of total)

ival-add: 75.0ms (17.6% of total)

ival-true: 5.0ms (1.2% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess197.0ms (2.1%)

Memory

0.1MiB live, 84.0MiB allocated

Algorithm

2×	egg-herbie

Rules

1 986×	`div-sub`
1 176×	`unsub-neg`
906×	`distribute-lft-in`
858×	`sub-neg`
840×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	76
1	92	68
2	223	66
3	709	66
4	1747	66
5	3411	66
6	4861	66
7	5475	66
8	6019	66
9	6291	66
10	6326	66
11	6772	66
12	7096	66
13	7132	66
14	7224	66
15	7478	66
16	7812	66
17	7812	66
0	8	11
1	21	11
2	30	11
3	58	11
4	95	11
5	152	11
6	229	11
7	257	11
8	263	11
9	277	11
10	279	11
11	279	11
12	280	11
13	282	11
14	290	11
0	290	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))

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

Call 2

Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(/ (* y (+ (/ y x) 1)) (+ y 1))

Outputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(* (+ (/ x y) 1) (/ x (+ x 1)))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(* (- 1 (/ x y)) (/ x (+ x -1)))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(* (- 1 (/ x y)) (/ x (+ x 1)))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(* (- 1 (/ x y)) (/ x (- 1 x)))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(* (- 1 (/ x y)) (/ x (- -1 x)))
(/ (* y (+ (/ y x) 1)) (+ y 1))
(* (+ 1 (/ y x)) (/ y (+ y 1)))

explain144.0ms (1.5%)

Memory

28.1MiB live, 223.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(/.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	28	0
↳	`(/.f64 x y)`	overflow	31
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	59
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	31

Confusion

	Predicted +	Predicted -
+	28	0
-	0	228

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	0	0	228

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 94 to 36 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (44.3% of total)

ival-add: 5.0ms (31.6% of total)

ival-mult: 3.0ms (19% 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(/.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

-20.4MiB live, 17.4MiB 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×	`-lowering-.f32`
166×	`-lowering-.f64`
92×	`accelerator-lowering-fma.f32`
92×	`accelerator-lowering-fma.f64`
90×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	21	32
2	30	32
3	58	32
4	95	32
5	152	32
6	229	32
7	257	32
8	263	32
9	277	32
10	279	32
11	279	32
12	280	32
13	282	32
14	290	32
0	290	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
1
(+ x 1)

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

localize29.0ms (0.3%)

Memory

-3.5MiB live, 47.4MiB 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	89.6%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 8.0ms (63.5% of total)

ival-add: 2.0ms (15.9% of total)

ival-mult: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (* x (+ (/ x y) 1))>
#<alt (/ (* x (+ (/ x y) 1)) (+ x 1))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (+ x 1)>

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))
1.0ms	x	@	0	(* x (+ (/ x y) 1))
0.0ms	y	@	-inf	(* x (+ (/ x y) 1))

rewrite285.0ms (3%)

Memory

-8.8MiB live, 416.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 588×	`-lowering-.f32`
3 588×	`-lowering-.f64`
3 312×	`/-lowering-/.f32`
3 312×	`/-lowering-/.f64`
3 296×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	57	29
2	450	29
3	7065	29
0	8041	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 397

Calls

Call 1

Inputs
(* x (+ (/ x y) 1))
(/ (* x (+ (/ x y) 1)) (+ x 1))
(+ (/ x y) 1)
(/ x y)
(+ x 1)

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

simplify615.0ms (6.4%)

Memory

9.4MiB live, 946.6MiB allocated

Algorithm

1×	egg-herbie

Rules

21 530×	`accelerator-lowering-fma.f32`
21 530×	`accelerator-lowering-fma.f64`
4 414×	`-lowering-.f32`
4 414×	`-lowering-.f64`
3 134×	`+-lowering-+.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 → 108

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))

eval82.0ms (0.9%)

Memory: -13.6MiB live, 101.5MiB allocated
Compiler: Compiled 10 869 to 1 191 computations (89% saved)

prune84.0ms (0.9%)

Memory

-3.8MiB live, 117.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	490	15	505
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	491	15	506

Accuracy

100.0%

Counts

506 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
	51.5%	(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)
▶	59.3%	(fma.f64 x (-.f64 (/.f64 x y) x) x)
	34.7%	(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
	91.3%	(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
▶	89.6%	(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
	40.4%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
▶	37.7%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
▶	99.9%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
	51.8%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	40.6%	(/.f64 x y)
	89.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)))
	48.7%	(*.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)))
	44.1%	(*.f64 x (/.f64 x (fma.f64 x y y)))
▶	43.9%	x

Compiler

Compiled 350 to 202 computations (42.3% saved)

simplify328.0ms (3.4%)

Memory

0.7MiB live, 475.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) y)
✓	cost-diff	128	(*.f64 x (/.f64 (+.f64 x y) y))
✓	cost-diff	384	(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	896	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
✓	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	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	896	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))

Rules

9 304×	`accelerator-lowering-fma.f32`
9 304×	`accelerator-lowering-fma.f64`
4 010×	`-lowering-.f32`
4 010×	`-lowering-.f64`
2 062×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	109
1	42	109
2	85	109
3	223	109
4	442	109
5	920	109
6	2360	109
7	4078	109
8	7666	109
0	8170	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (/ (+ x 1) (+ (/ x y) 1)))
x
(/ (+ x 1) (+ (/ x y) 1))
(+ x 1)
1
(+ (/ x y) 1)
(/ x y)
y
x
(+ (* x (- (/ x y) x)) x)
x
(- (/ x y) x)
(/ x y)
y
(/ (* x (+ (/ x y) 1)) x)
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
1
(/ (* x (/ (+ x y) y)) (+ x 1))
(* x (/ (+ x y) y))
x
(/ (+ x y) y)
(+ x y)
y
(+ x 1)
1

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

localize78.0ms (0.8%)

Memory

28.3MiB live, 105.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) y)
✓	accuracy	99.9%	(*.f64 x (/.f64 (+.f64 x y) y))
✓	accuracy	89.6%	(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	89.6%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 x y) x)
✓	accuracy	99.9%	(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓	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 #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	accuracy	88.6%	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 114 to 19 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 9.0ms (45% of total)

ival-add: 5.0ms (25% of total)

ival-mult: 4.0ms (20% of total)

ival-sub: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Memory

-18.0MiB live, 19.2MiB allocated

Counts

13 → 300

Calls

Call 1

Inputs
#<alt (/ x (/ (+ x 1) (+ (/ x y) 1)))>
#<alt (/ (+ x 1) (+ (/ x y) 1))>
#<alt (+ x 1)>
#<alt (+ (/ x y) 1)>
#<alt (+ (* x (- (/ x y) x)) x)>
#<alt (- (/ x y) x)>
#<alt (/ x y)>
#<alt (/ (* x (+ (/ x y) 1)) x)>
#<alt (* x (+ (/ x y) 1))>
#<alt (/ (* x (/ (+ x y) y)) (+ x 1))>
#<alt (* x (/ (+ x y) y))>
#<alt (/ (+ x y) y)>
#<alt (+ x 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 1>
#<alt (+ 1 (* x (- 1 (/ 1 y))))>
#<alt (+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))>
#<alt (+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))>
#<alt y>
#<alt (- (+ y (/ y x)) (/ (pow y 2) x))>
#<alt (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) 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)))>
#<alt y>
#<alt (+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))>
#<alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))>
#<alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))>
#<alt (- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))>
#<alt (- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))>
#<alt (+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))>
#<alt (+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 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)))>
#<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>
#<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 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>
#<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 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 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 y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

75 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	(+ (* x (- (/ x y) x)) x)
1.0ms	x	@	0	(+ (* x (- (/ x y) x)) x)
1.0ms	y	@	-inf	(/ (* x (/ (+ x y) y)) (+ x 1))
1.0ms	y	@	inf	(/ (* x (/ (+ x y) y)) (+ x 1))
0.0ms	x	@	inf	(/ (+ x 1) (+ (/ x y) 1))

rewrite306.0ms (3.2%)

Memory

39.5MiB live, 622.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 092×	`accelerator-lowering-fma.f32`
5 092×	`accelerator-lowering-fma.f64`
4 540×	`/-lowering-/.f32`
4 540×	`/-lowering-/.f64`
4 056×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
1	127	83
2	1060	83
0	8638	79

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 753

Calls

Call 1

Inputs
(/ x (/ (+ x 1) (+ (/ x y) 1)))
(/ (+ x 1) (+ (/ x y) 1))
(+ x 1)
(+ (/ x y) 1)
(+ (* x (- (/ x y) x)) x)
(- (/ x y) x)
(/ x y)
(/ (* x (+ (/ x y) 1)) x)
(* x (+ (/ x y) 1))
(/ (* x (/ (+ x y) y)) (+ x 1))
(* x (/ (+ x y) y))
(/ (+ x y) y)
(+ x y)

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

simplify658.0ms (6.8%)

Memory

-43.2MiB live, 726.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 236×	`accelerator-lowering-fma.f32`
13 236×	`accelerator-lowering-fma.f64`
3 808×	`+-lowering-+.f64`
3 808×	`+-lowering-+.f32`
3 404×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	2443
1	787	2296
2	2289	2082
0	8046	1994

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

eval209.0ms (2.2%)

Memory: 35.2MiB live, 257.5MiB allocated
Compiler: Compiled 23 204 to 2 446 computations (89.5% saved)

prune270.0ms (2.8%)

Memory

-17.6MiB live, 232.5MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 277	10	1 287
Fresh	5	5	10
Picked	4	1	5
Done	0	0	0
Total	1 286	16	1 302

Accuracy

100.0%

Counts

1 302 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
▶	59.3%	(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x)
▶	59.3%	(fma.f64 x (/.f64 x y) x)
	40.4%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
▶	74.0%	(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))
	17.0%	(/.f64 (*.f64 x x) y)
	44.2%	(/.f64 x (/.f64 (fma.f64 x y y) x))
	51.8%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	68.6%	(/.f64 x (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
	40.6%	(/.f64 x y)
	48.6%	(-.f64 x (*.f64 x x))
	47.8%	(+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
▶	48.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
	44.1%	(*.f64 x (/.f64 x (fma.f64 x y y)))
✓	43.9%	x
▶	11.0%	#s(literal 1 binary64)

Compiler

Compiled 297 to 170 computations (42.8% saved)

simplify300.0ms (3.1%)

Memory

31.9MiB live, 227.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

5 376×	`accelerator-lowering-fma.f32`
5 376×	`accelerator-lowering-fma.f64`
2 834×	`-lowering-.f32`
2 834×	`-lowering-.f64`
1 186×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	51	72
2	101	72
3	248	72
4	531	72
5	1071	72
6	1853	72
7	3906	72
8	5815	72
9	6738	72
10	7006	72
11	7143	72
12	7350	72
13	7762	72
0	8040	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ x y)) (+ (* x y) y))
(* x (+ x y))
x
(+ x y)
y
(+ (* x y) y)
1
(+ (/ x y) 1)
(/ x y)
x
y
1
(+ (* x (/ x y)) x)
x
(/ x y)
y
(+ (* x (+ (* (/ 1 y) x) (neg x))) x)
x
(+ (* (/ 1 y) x) (neg x))
(/ 1 y)
1
y
(neg x)

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

localize68.0ms (0.7%)

Memory

-21.7MiB live, 58.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.9%	(fma.f64 x (/.f64 x y) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x y y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x (+.f64 x y))
✓	accuracy	74.4%	(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))

Samples

50.0ms

256×

valid

Compiler

Compiled 74 to 20 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 18.0ms (57.2% of total)

ival-mult: 7.0ms (22.3% of total)

ival-div: 5.0ms (15.9% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

11 → 240

Calls

Call 1

Inputs
#<alt (/ (* x (+ x y)) (+ (* x y) y))>
#<alt (* x (+ x y))>
#<alt (+ x y)>
#<alt (+ (* x y) y)>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (+ (* x (/ x y)) x)>
#<alt (+ (* (/ 1 y) x) (neg x))>
#<alt (+ (* x (+ (* (/ 1 y) x) (neg x))) x)>
#<alt (/ 1 y)>
#<alt (neg 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 (* -1 (/ x (- (* -1 x) 1)))>
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))>
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))>
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))>
#<alt (* x y)>
#<alt (* x (+ x y))>
#<alt (* x (+ x y))>
#<alt (* x (+ x y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (pow x 2)>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* x y) (pow x 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 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)))>
#<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 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 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 (- (/ 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>
#<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 (* -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)>

Calls

60 calls:

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

rewrite474.0ms (4.9%)

Memory

-16.3MiB live, 498.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 510×	`accelerator-lowering-fma.f32`
8 510×	`accelerator-lowering-fma.f64`
4 474×	`/-lowering-/.f32`
4 474×	`/-lowering-/.f64`
4 184×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	58
1	142	58
2	1096	58
0	8571	54

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 526

Calls

Call 1

Inputs
(/ (* x (+ x y)) (+ (* x y) y))
(* x (+ x y))
(+ x y)
(+ (* x y) y)
(+ (/ x y) 1)
(/ x y)
(+ (* x (/ x y)) x)
(+ (* (/ 1 y) x) (neg x))
(+ (* x (+ (* (/ 1 y) x) (neg x))) x)
(/ 1 y)
(neg x)

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

simplify390.0ms (4.1%)

Memory

21.3MiB live, 808.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 572×	`accelerator-lowering-fma.f32`
15 572×	`accelerator-lowering-fma.f64`
4 450×	`-lowering-.f32`
4 450×	`-lowering-.f64`
2 114×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1455
1	431	1375
2	1140	1307
3	4874	1258
0	8495	1194

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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

eval218.0ms (2.3%)

Memory: 2.7MiB live, 214.6MiB allocated
Compiler: Compiled 13 898 to 1 545 computations (88.9% saved)

prune299.0ms (3.1%)

Memory

-3.2MiB live, 197.3MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	828	4	832
Fresh	0	10	10
Picked	2	3	5
Done	0	1	1
Total	830	18	848

Accuracy

100.0%

Counts

848 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
▶	56.8%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
✓	59.3%	(fma.f64 x (/.f64 x y) x)
	59.3%	(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x) x)
	40.4%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
	41.4%	(/.f64 (*.f64 x y) (fma.f64 x y y))
▶	35.8%	(/.f64 (*.f64 x x) (fma.f64 x y y))
▶	17.0%	(/.f64 (*.f64 x x) y)
	44.2%	(/.f64 x (/.f64 (fma.f64 x y y) x))
	51.8%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶	68.6%	(/.f64 x (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
	40.6%	(/.f64 x y)
▶	48.6%	(-.f64 x (*.f64 x x))
	47.8%	(+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	48.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
	44.1%	(*.f64 x (/.f64 x (fma.f64 x y y)))
✓	43.9%	x
✓	11.0%	#s(literal 1 binary64)

Compiler

Compiled 311 to 176 computations (43.4% saved)

simplify143.0ms (1.5%)

Memory

19.8MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
✓	cost-diff	0	(fma.f64 x y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) (fma.f64 x y y))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 x (*.f64 x x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	512	(/.f64 x (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	cost-diff	15040	(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))

Rules

1 360×	`accelerator-lowering-fma.f32`
1 360×	`accelerator-lowering-fma.f64`
888×	`-lowering-.f32`
888×	`-lowering-.f64`
750×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
1	47	113
2	76	113
3	143	111
4	265	109
5	514	109
6	711	109
7	1035	109
8	2274	109
9	3221	109
10	3924	109
11	3991	109
12	4010	109
13	4013	109
14	4013	109
0	4013	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize85.0ms (0.9%)

Memory

-0.4MiB live, 198.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.6%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
✓	accuracy	100.0%	(fma.f64 x y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	88.9%	(/.f64 (*.f64 x x) (fma.f64 x y y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	94.1%	(/.f64 (*.f64 x x) y)
✓	accuracy	100.0%	(-.f64 x (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 x (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
✓	accuracy	95.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))

Samples

36.0ms	176×	0	valid
12.0ms	80×	0	invalid

Compiler

Compiled 138 to 22 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 15.0ms (43.4% of total)

ival-mult: 8.0ms (23.1% of total)

ival-pow: 6.0ms (17.4% of total)

ival-add: 4.0ms (11.6% of total)

ival-sub: 1.0ms (2.9% 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

-25.7MiB live, 21.9MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* (pow (/ (+ 1 (/ x y)) (+ x 1)) -1/2) (pow (/ (+ 1 (/ x y)) (+ x 1)) -1/2))
1.0ms	x	@	-inf	(pow (/ (+ 1 (/ x y)) (+ x 1)) -1/2)
1.0ms	y	@	0	(pow (/ (+ 1 (/ x y)) (+ x 1)) -1/2)
1.0ms	x	@	inf	(pow (/ (+ 1 (/ x y)) (+ x 1)) -1/2)
1.0ms	y	@	inf	(pow (/ (+ 1 (/ x y)) (+ x 1)) -1/2)

rewrite307.0ms (3.2%)

Memory

27.0MiB live, 611.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 942×	`accelerator-lowering-fma.f32`
6 942×	`accelerator-lowering-fma.f64`
4 388×	`/-lowering-/.f32`
4 388×	`/-lowering-/.f64`
4 314×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	146	77
2	1180	77
0	8552	70

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 475

Calls

Call 1

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

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

simplify462.0ms (4.8%)

Memory

-19.1MiB live, 668.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 384×	`accelerator-lowering-fma.f32`
13 384×	`accelerator-lowering-fma.f64`
5 902×	`+-lowering-+.f64`
5 902×	`+-lowering-+.f32`
5 024×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	2938
1	1419	2786
2	4635	2592
0	8936	2452

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1
(+ 1 (* x (- 1 (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) 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)))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(/ (* y (+ 1 x)) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 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 (* 1/2 (* x (- 1 (/ 1 y)))))
(+ 1 (* x (+ (* 1/2 (* x (- (/ 1 (pow y 2)) (+ (* 1/4 (pow (- 1 (/ 1 y)) 2)) (/ 1 y))))) (* 1/2 (- 1 (/ 1 y))))))
(+ 1 (* x (+ (* 1/2 (- 1 (/ 1 y))) (* x (+ (* 1/2 (* x (- (/ 1 (pow y 2)) (+ (* 1/2 (* (- 1 (/ 1 y)) (- (/ 1 (pow y 2)) (+ (* 1/4 (pow (- 1 (/ 1 y)) 2)) (/ 1 y))))) (/ 1 (pow y 3)))))) (* 1/2 (- (/ 1 (pow y 2)) (+ (* 1/4 (pow (- 1 (/ 1 y)) 2)) (/ 1 y)))))))))
(sqrt y)
(+ (sqrt y) (* 1/2 (* (/ (- y (pow y 2)) x) (sqrt (/ 1 y)))))
(+ (sqrt y) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow (- y (pow y 2)) 2) y)) (* y (- y (pow y 2)))) (pow x 2)) (sqrt (/ 1 y)))) (* 1/2 (* (/ (- y (pow y 2)) x) (sqrt (/ 1 y))))))
(+ (sqrt y) (+ (* -1/2 (* (/ (+ (* -1 (* (pow y 2) (- y (pow y 2)))) (* -1/2 (/ (* (+ (* 1/4 (/ (pow (- y (pow y 2)) 2) y)) (* y (- y (pow y 2)))) (- y (pow y 2))) y))) (pow x 3)) (sqrt (/ 1 y)))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow (- y (pow y 2)) 2) y)) (* y (- y (pow y 2)))) (pow x 2)) (sqrt (/ 1 y)))) (* 1/2 (* (/ (- y (pow y 2)) x) (sqrt (/ 1 y)))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* (/ (- (* -1 y) (* -1 (pow y 2))) x) (sqrt (/ 1 y)))))
(+ (sqrt y) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (- (* -1 y) (* -1 (pow y 2))))) (* 1/2 (* (/ (+ (* -1 (* y (- (* -1 y) (* -1 (pow y 2))))) (* 1/4 (/ (pow (- (* -1 y) (* -1 (pow y 2))) 2) y))) x) (sqrt (/ 1 y))))) x)))
(+ (sqrt y) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* y (- (* -1 y) (* -1 (pow y 2))))) (* 1/4 (/ (pow (- (* -1 y) (* -1 (pow y 2))) 2) y))))) (* 1/2 (* (/ (+ (* -1 (* (pow y 2) (- (* -1 y) (* -1 (pow y 2))))) (* -1/2 (/ (* (+ (* -1 (* y (- (* -1 y) (* -1 (pow y 2))))) (* 1/4 (/ (pow (- (* -1 y) (* -1 (pow y 2))) 2) y))) (- (* -1 y) (* -1 (pow y 2)))) y))) x) (sqrt (/ 1 y))))) x)) (* 1/2 (* (sqrt (/ 1 y)) (- (* -1 y) (* -1 (pow y 2)))))) x)))
(sqrt (/ (* y (+ 1 x)) x))
(+ (sqrt (/ (* y (+ 1 x)) x)) (* -1/2 (* (sqrt (/ (* x (pow y 3)) (+ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))))
(+ (sqrt (/ (* y (+ 1 x)) x)) (* (pow y 2) (+ (* -1/2 (* (sqrt (/ x (* y (+ 1 x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (* 1/2 (* (sqrt (/ y (* x (+ 1 x)))) (+ (/ 1 x) (/ 1 (pow x 2))))))))
(+ (sqrt (/ (* y (+ 1 x)) x)) (* (pow y 2) (+ (* -1/2 (* (sqrt (/ x (* y (+ 1 x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (* y (+ (* -1/2 (* (sqrt (/ (* x y) (+ 1 x))) (+ (* 1/4 (/ (* x (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)) (* y (+ 1 x)))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))))) (* 1/2 (* (sqrt (/ 1 (* x (* y (+ 1 x))))) (+ (/ 1 x) (/ 1 (pow x 2))))))))))
(sqrt (+ 1 x))
(+ (sqrt (+ 1 x)) (* -1/2 (* (/ x y) (sqrt (+ 1 x)))))
(+ (sqrt (+ 1 x)) (+ (* -1/2 (* (/ x y) (sqrt (+ 1 x)))) (* -1/2 (* (/ (+ (* -1 (* (pow x 2) (+ 1 x))) (* 1/4 (* (pow x 2) (+ 1 x)))) (pow y 2)) (sqrt (/ 1 (+ 1 x)))))))
(+ (sqrt (+ 1 x)) (+ (* -1/2 (* (/ x y) (sqrt (+ 1 x)))) (+ (* -1/2 (* (/ (+ (* -1 (* (pow x 2) (+ 1 x))) (* 1/4 (* (pow x 2) (+ 1 x)))) (pow y 2)) (sqrt (/ 1 (+ 1 x))))) (* -1/2 (* (/ (+ (* 1/2 (* x (+ (* -1 (* (pow x 2) (+ 1 x))) (* 1/4 (* (pow x 2) (+ 1 x)))))) (* (pow x 3) (+ 1 x))) (pow y 3)) (sqrt (/ 1 (+ 1 x))))))))
(sqrt (+ 1 x))
(+ (sqrt (+ 1 x)) (* -1/2 (* (/ x y) (sqrt (+ 1 x)))))
(+ (sqrt (+ 1 x)) (* -1 (/ (+ (* 1/2 (* x (sqrt (+ 1 x)))) (* 1/2 (* (/ (+ (* -1 (* (pow x 2) (+ 1 x))) (* 1/4 (* (pow x 2) (+ 1 x)))) y) (sqrt (/ 1 (+ 1 x)))))) y)))
(+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (+ 1 x))) (+ (* -1 (* (pow x 2) (+ 1 x))) (* 1/4 (* (pow x 2) (+ 1 x)))))) (* 1/2 (* (/ (+ (* -1 (* (pow x 3) (+ 1 x))) (* -1/2 (* x (+ (* -1 (* (pow x 2) (+ 1 x))) (* 1/4 (* (pow x 2) (+ 1 x))))))) y) (sqrt (/ 1 (+ 1 x)))))) y)) (* 1/2 (* x (sqrt (+ 1 x))))) y)))
1
(+ 1 (* x (- (/ 1 y) 1)))
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))
(/ 1 y)
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))
(- (+ (/ 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)))))
(/ 1 y)
(+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(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)
(/ (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) (+ (* -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))))
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))
(* y (+ 1 x))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(/ (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 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)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)

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

eval109.0ms (1.1%)

Memory: 4.1MiB live, 227.5MiB allocated
Compiler: Compiled 20 506 to 2 094 computations (89.8% saved)

prune280.0ms (2.9%)

Memory

-133.2MiB live, 207.9MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	925	7	932
Fresh	3	6	9
Picked	2	3	5
Done	0	4	4
Total	930	20	950

Accuracy

100.0%

Counts

950 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	59.3%	(fma.f64 x (/.f64 x y) x)
	59.3%	(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x) x)
	41.4%	(/.f64 (*.f64 x y) (fma.f64 x y y))
✓	35.8%	(/.f64 (*.f64 x x) (fma.f64 x y y))
✓	17.0%	(/.f64 (*.f64 x x) y)
	19.1%	(/.f64 x (/.f64 y x))
	51.8%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	19.5%	(/.f64 x (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (fma.f64 x y y) x))))
	40.6%	(/.f64 x y)
✓	48.6%	(-.f64 x (*.f64 x x))
	47.8%	(+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	48.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
	44.1%	(*.f64 (/.f64 x (fma.f64 x y y)) x)
	19.1%	(*.f64 (/.f64 x y) x)
	35.8%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (.f64 x x))
	17.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
	9.0%	(*.f64 x (neg.f64 x))
✓	43.9%	x
✓	11.0%	#s(literal 1 binary64)

Compiler

Compiled 506 to 180 computations (64.4% saved)

regimes36.0ms (0.4%)

Memory

11.8MiB live, 50.4MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
11.0ms	x
10.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	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)

regimes31.0ms (0.3%)

Memory

18.7MiB live, 55.0MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x)

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

Calls

3 calls:

11.0ms	y
9.0ms	x
9.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
97.0%	3	`y`
99.9%	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)

regimes19.0ms (0.2%)

Memory

-0.4MiB live, 38.6MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs
(+.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))

Calls

2 calls:

9.0ms	x
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
99.9%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes18.0ms (0.2%)

Memory

1.6MiB live, 40.6MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x)

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

Calls

2 calls:

9.0ms	x
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
94.8%	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)

regimes15.0ms (0.2%)

Memory

-32.5MiB live, 15.8MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x)

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-27.4MiB live, 10.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
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
88.8%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
64.8%	3	`y`
88.7%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes12.0ms (0.1%)

Memory

-28.8MiB live, 10.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
3.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
88.6%	3	`x`
88.6%	3	`(/.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)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.2%	3	`x`
87.7%	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)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 x (neg.f64 x))
(-.f64 x (*.f64 x x))

Outputs
(-.f64 x (*.f64 x x))
#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
48.6%	1	`y`
55.8%	5	`x`
57.3%	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)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 x (neg.f64 x))

Outputs
(*.f64 x (neg.f64 x))
x
#s(literal 1 binary64)

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
57.0%	3	`(/.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)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x
#s(literal 1 binary64)

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
51.7%	2	`(/.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

-28.0MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.0%	1	`y`
11.0%	1	`x`
11.0%	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)

bsearch30.0ms (0.3%)

Memory

22.9MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.04446039452903e-15	2.1873024855362197e-8
15.0ms	-8.701061318594766e-5	-1.0876081388433324e-16

Samples

17.0ms

304×

valid

Compiler

Compiled 529 to 336 computations (36.5% saved)

Precisions

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

ival-div: 4.0ms (43.9% of total)

ival-add: 3.0ms (32.9% of total)

ival-mult: 2.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-13.2MiB live, 24.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
9.0ms	2704380977874138.0	184608454410080480.0
5.0ms	-8.47779238761274e+71	-1.5746676223351472e+59

Samples

10.0ms

144×

valid

Compiler

Compiled 214 to 148 computations (30.8% saved)

Precisions

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

ival-add: 4.0ms (59.2% of total)

ival-div: 2.0ms (29.6% of total)

ival-mult: 1.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Memory

13.9MiB live, 51.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.005217492437179732	1585185.3349476224
16.0ms	-286347605189877.94	-8.701061318594766e-5

Samples

15.0ms

304×

valid

Compiler

Compiled 491 to 336 computations (31.6% saved)

Precisions

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

ival-div: 4.0ms (44.1% of total)

ival-add: 3.0ms (33.1% of total)

ival-mult: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch57.0ms (0.6%)

Memory

-27.0MiB live, 48.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.005217492437179732	1585185.3349476224
22.0ms	-286347605189877.94	-8.701061318594766e-5

Samples

24.0ms

304×

valid

Compiler

Compiled 442 to 297 computations (32.8% saved)

Precisions

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

ival-div: 4.0ms (44.3% of total)

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

ival-mult: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

16.9MiB live, 55.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.005217492437179732	1585185.3349476224
13.0ms	-286347605189877.94	-8.701061318594766e-5

Samples

17.0ms

304×

valid

Compiler

Compiled 404 to 259 computations (35.9% saved)

Precisions

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

ival-div: 5.0ms (48.6% of total)

ival-add: 3.0ms (29.1% of total)

ival-mult: 2.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Memory

18.3MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.005217492437179732	1585185.3349476224
15.0ms	-286347605189877.94	-8.701061318594766e-5

Samples

16.0ms

304×

valid

Compiler

Compiled 377 to 241 computations (36.1% 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)

bsearch32.0ms (0.3%)

Memory

-27.9MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.005217492437179732	1585185.3349476224
15.0ms	-286347605189877.94	-8.701061318594766e-5

Samples

20.0ms

304×

valid

Compiler

Compiled 339 to 222 computations (34.5% saved)

Precisions

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

ival-add: 5.0ms (37.3% of total)

ival-div: 4.0ms (29.8% of total)

ival-mult: 3.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.383647894480004e-8	0.9999999999986934
0.0ms	-417.9127664217318	-8.701818469155601e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.383647894480004e-8	0.9999999999986934
0.0ms	-417.9127664217318	-8.701818469155601e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	542333.0241249352
0.0ms	2.383647894480004e-8	0.9999999999986934
0.0ms	-417.9127664217318	-8.701818469155601e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.383647894480004e-8	0.9999999999986934

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.383647894480004e-8	0.9999999999986934
0.0ms	-8895949314.753384	-6289048616.810151

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.383647894480004e-8	0.9999999999986934

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify14.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
14×	`if-if-or-not_binary32`
10×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	399
1	114	399
2	120	399
3	123	399
4	124	399

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -7910139745424151/40564819207303340847894502572032 binary64)) (/.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) (if (<=.f64 x #s(literal 3232509030581985/633825300114114700748351602688 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (/.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)))
(if (<=.f64 x #s(literal -199999999999999998418077252567267701645512243388460910731136598016 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 9000000000000000 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))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 (/.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 -400 binary64)) (+.f64 (/.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 3022314549036573/75557863725914323419136 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.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 -400 binary64)) (+.f64 (/.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 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (*.f64 x x)) (+.f64 (/.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 -400 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (.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(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (.f64 x x)) #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 -8000000000 binary64)) (.f64 x (neg.f64 x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) x #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 3022314549036573/75557863725914323419136 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -7910139745424151/40564819207303340847894502572032 binary64)) (/.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) (if (<=.f64 x #s(literal 3232509030581985/633825300114114700748351602688 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (/.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)))
(if (<=.f64 x #s(literal -199999999999999998418077252567267701645512243388460910731136598016 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 9000000000000000 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))))
(if (<=.f64 x #s(literal -199999999999999998418077252567267701645512243388460910731136598016 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 9000000000000000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400 binary64)) (+.f64 (/.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 3022314549036573/75557863725914323419136 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.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 -400 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400 binary64)) (+.f64 (/.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 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (*.f64 x x)) (+.f64 (/.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 -400 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (.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(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -400 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (.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(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (.f64 x x)) #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 3022314549036573/75557863725914323419136 binary64)) (-.f64 x (.f64 x x)) #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 -8000000000 binary64)) (.f64 x (neg.f64 x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) x #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 -8000000000 binary64)) (neg.f64 (.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) x #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 3022314549036573/75557863725914323419136 binary64)) x #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 3022314549036573/75557863725914323419136 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.7s (17.3%)

Memory

-2.5MiB live, 958.7MiB allocated

Rules

21 530×	`accelerator-lowering-fma.f32`
21 530×	`accelerator-lowering-fma.f64`
13 384×	`accelerator-lowering-fma.f32`
13 384×	`accelerator-lowering-fma.f64`
13 236×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	2938
1	1419	2786
2	4635	2592
0	8936	2452
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612
0	17	83
1	127	83
2	1060	83
0	8638	79
0	250	2443
1	787	2296
2	2289	2082
0	8046	1994
0	8	29
1	57	29
2	450	29
3	7065	29
0	8041	27

Stop Event

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

Compiler

Compiled 892 to 357 computations (60% saved)

preprocess133.0ms (1.4%)

Memory: 9.4MiB live, 162.9MiB allocated
Compiler: Compiled 934 to 186 computations (80.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	32
1	21	32
2	30	32
3	58	32
4	95	32
5	152	32
6	229	32
7	257	32
8	263	32
9	277	32
10	279	32
11	279	32
12	280	32
13	282	32
14	290	32
0	290	30

Iter	Nodes	Cost
0	8	32
1	21	32
2	30	32
3	58	32
4	95	32
5	152	32
6	229	32
7	257	32
8	263	32
9	277	32
10	279	32
11	279	32
12	280	32
13	282	32
14	290	32
0	290	30

analyze46.0ms (0.5%)

sample851.0ms (8.8%)

preprocess197.0ms (2.1%)

explain144.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize29.0ms (0.3%)

series8.0ms (0.1%)

rewrite285.0ms (3%)

simplify615.0ms (6.4%)

eval82.0ms (0.9%)

prune84.0ms (0.9%)

simplify328.0ms (3.4%)

localize78.0ms (0.8%)

series31.0ms (0.3%)

rewrite306.0ms (3.2%)

simplify658.0ms (6.8%)

eval209.0ms (2.2%)

prune270.0ms (2.8%)

simplify300.0ms (3.1%)

localize68.0ms (0.7%)

series9.0ms (0.1%)

rewrite474.0ms (4.9%)

simplify390.0ms (4.1%)

eval218.0ms (2.3%)

prune299.0ms (3.1%)

simplify143.0ms (1.5%)

localize85.0ms (0.9%)

series15.0ms (0.2%)

rewrite307.0ms (3.2%)

simplify462.0ms (4.8%)

eval109.0ms (1.1%)

prune280.0ms (2.9%)

regimes36.0ms (0.4%)

regimes31.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch30.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch57.0ms (0.6%)

bsearch29.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.7s (17.3%)

preprocess133.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	32
1	21	32
2	30	32
3	58	32
4	95	32
5	152	32
6	229	32
7	257	32
8	263	32
9	277	32
10	279	32
11	279	32
12	280	32
13	282	32
14	290	32
0	290	30