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

analyze31.0ms (0.3%)

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 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 6.0ms (43.2% of total)

ival-add: 4.0ms (28.8% of total)

ival-mult: 3.0ms (21.6% of total)

const: 1.0ms (7.2% of total)

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

sample914.0ms (9.9%)

Results

638.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-div: 179.0ms (43.8% of total)

ival-add: 109.0ms (26.7% of total)

ival-mult: 103.0ms (25.2% of total)

const: 15.0ms (3.7% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess195.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1986×	`div-sub`
1176×	`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 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 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))
(* x (/ (- 1 (/ x y)) (+ 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)))
(* x (/ (- 1 (/ x y)) (- -1 x)))
(/ (* y (+ (/ y x) 1)) (+ y 1))
(* (+ 1 (/ y x)) (/ y (+ y 1)))

explain94.0ms (1%)

FPErrors

Click to see full error table

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

Results

57.0ms

512×

valid

Compiler

Compiled 83 to 45 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 14.0ms (41.8% of total)

ival-div: 10.0ms (29.8% of total)

ival-mult: 7.0ms (20.9% of total)

const: 2.0ms (6% of total)

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

eval2.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize71.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (+.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	0	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Rules

166×	`-lowering-.f32`
166×	`-lowering-.f64`
110×	`associate-l`
104×	`times-frac`
92×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	15	30
2	25	30
3	47	30
4	77	30
5	133	30
6	229	30
7	295	30
8	296	30
9	298	30
10	298	30
11	299	30
12	301	30
13	309	30
0	309	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

31.0ms

256×

valid

Compiler

Compiled 33 to 18 computations (45.5% saved)

Precisions

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

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

ival-div: 6.0ms (38% of total)

ival-mult: 2.0ms (12.7% of total)

const: 1.0ms (6.3% of total)

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

series38.0ms (0.4%)

Counts

5 → 96

Calls

Call 1

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

Calls

24 calls:

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

rewrite485.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3880×	`-lowering-.f32`
3880×	`-lowering-.f64`
3536×	`/-lowering-/.f32`
3536×	`/-lowering-/.f64`
3288×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	51	27
2	437	27
3	7911	27
0	8191	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 472

Calls

Call 1

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

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

simplify807.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

17762×	`accelerator-lowering-fma.f32`
17762×	`accelerator-lowering-fma.f64`
3090×	`+-lowering-+.f64`
3090×	`+-lowering-+.f32`
2748×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	693
1	298	676
2	763	611
3	2995	568
4	7452	566
0	8099	553

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval113.0ms (1.2%)

Compiler: Compiled 13012 to 6460 computations (50.4% saved)

prune83.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	557	11	568
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	558	11	569

Accuracy

100.0%

Counts

569 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
	99.8%	(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	55.9%	(/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	47.2%	(/.f64 x y)
	46.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
▶	99.9%	(-.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
	69.8%	(.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
▶	50.7%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
	58.1%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	46.4%	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	34.1%	x

Compiler

Compiled 248 to 176 computations (29% saved)

localize366.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	128	(/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	256	(-.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Rules

1336×	`accelerator-lowering-fma.f32`
1336×	`accelerator-lowering-fma.f64`
904×	`-lowering-.f32`
904×	`-lowering-.f64`
896×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	81
1	37	81
2	73	81
3	154	79
4	350	75
5	1164	75
6	2524	75
7	2973	75
8	3219	75
9	3272	75
10	3281	75
11	3282	75
12	3290	75
13	3314	75
14	3318	75
15	3318	75
0	3318	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

88.0ms

256×

valid

Compiler

Compiled 109 to 57 computations (47.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 27.0ms (47.8% of total)

ival-add: 14.0ms (24.8% of total)

ival-mult: 7.0ms (12.4% of total)

ival-sub: 5.0ms (8.9% of total)

const: 3.0ms (5.3% of total)

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

series22.0ms (0.2%)

Counts

12 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite631.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

6610×	`accelerator-lowering-fma.f32`
6610×	`accelerator-lowering-fma.f64`
4070×	`/-lowering-/.f32`
4070×	`/-lowering-/.f64`
3438×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	125	74
2	1265	66
0	8718	65

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 897

Calls

Call 1

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

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

simplify853.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

15956×	`accelerator-lowering-fma.f32`
15956×	`accelerator-lowering-fma.f64`
4436×	`-lowering-.f32`
4436×	`-lowering-.f64`
2466×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1695
1	474	1618
2	1264	1435
3	5776	1418
0	8376	1378

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval363.0ms (3.9%)

Compiler: Compiled 27697 to 16551 computations (40.2% saved)

prune228.0ms (2.5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1342	10	1352
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	1347	16	1363

Accuracy

100.0%

Counts

1363 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 y x))
	20.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	55.9%	(/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	18.3%	(/.f64 (*.f64 x x) y)
▶	50.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	46.4%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	47.2%	(/.f64 x y)
	46.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
▶	58.7%	(-.f64 (*.f64 (/.f64 x y) x) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
	43.6%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	20.2%	(*.f64 (/.f64 x y) x)
▶	46.5%	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓	50.7%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
	58.1%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	34.1%	x
▶	14.0%	#s(literal 1 binary64)

Compiler

Compiled 249 to 174 computations (30.1% saved)

localize205.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 26 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 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) x)
✓	cost-diff	0	(-.f64 (*.f64 (/.f64 x y) x) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (*.f64 (/.f64 x y) x) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal -1 binary64) x))
✓	accuracy	99.8%	(*.f64 (/.f64 x y) x)

Rules

680×	`accelerator-lowering-fma.f32`
680×	`accelerator-lowering-fma.f64`
376×	`-lowering-.f32`
376×	`-lowering-.f64`
196×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	40	69
2	76	69
3	143	69
4	236	69
5	506	69
6	1010	69
7	1279	69
8	1336	69
9	1340	69
10	1343	69
11	1344	69
0	1344	67

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

65.0ms

256×

valid

Compiler

Compiled 88 to 45 computations (48.9% saved)

Precisions

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

ival-div: 17.0ms (46.5% of total)

ival-add: 8.0ms (21.9% of total)

ival-sub: 5.0ms (13.7% of total)

ival-mult: 4.0ms (10.9% of total)

const: 2.0ms (5.5% of total)

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

series21.0ms (0.2%)

Counts

13 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ 1 (+ (/ x y) 1))
0.0ms	x	@	0	(* (/ x y) x)
0.0ms	x	@	-inf	(/ 1 (+ (/ x y) 1))
0.0ms	y	@	-inf	(* (/ 1 y) (+ x -1))
0.0ms	y	@	0	(* (/ 1 y) (+ x -1))

rewrite507.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4778×	`/-lowering-/.f32`
4778×	`/-lowering-/.f64`
4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
4262×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	125	65
2	1082	65
0	8404	63

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 735

Calls

Call 1

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

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

simplify953.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

16140×	`accelerator-lowering-fma.f32`
16140×	`accelerator-lowering-fma.f64`
5558×	`-lowering-.f32`
5558×	`-lowering-.f64`
2386×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1484
1	611	1411
2	1583	1341
3	7316	1339
0	8499	1290

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval198.0ms (2.1%)

Compiler: Compiled 18037 to 9719 computations (46.1% saved)

prune148.0ms (1.6%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1017	5	1022
Fresh	1	7	8
Picked	2	3	5
Done	0	3	3
Total	1020	18	1038

Accuracy

100.0%

Counts

1038 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 y x))
	20.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	55.9%	(/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
▶	46.7%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
	18.3%	(/.f64 (*.f64 x x) y)
▶	20.2%	(/.f64 x (/.f64 y x))
✓	50.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
	34.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	46.4%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶	47.2%	(/.f64 x y)
▶	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	21.6%	(-.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
	43.6%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	20.2%	(*.f64 (/.f64 x y) x)
✓	50.7%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
▶	58.1%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	34.1%	x
✓	14.0%	#s(literal 1 binary64)

Compiler

Compiled 248 to 168 computations (32.3% saved)

localize181.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 x (/.f64 y x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(/.f64 x (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))

Rules

560×	`accelerator-lowering-fma.f32`
560×	`accelerator-lowering-fma.f64`
432×	`-lowering-.f32`
432×	`-lowering-.f64`
320×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	23	48
2	36	46
3	41	46
4	62	46
5	84	46
6	95	46
7	113	46
8	131	46
9	146	46
10	161	46
11	184	46
12	194	46
13	210	46
14	238	46
15	306	46
16	427	46
17	608	46
18	1023	46
19	1507	46
20	1619	46
21	1624	46
22	1626	46
23	1629	46
24	1630	46
0	1630	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

51.0ms

256×

valid

Compiler

Compiled 64 to 30 computations (53.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 14.0ms (54.6% of total)

ival-add: 8.0ms (31.2% of total)

ival-mult: 2.0ms (7.8% of total)

const: 2.0ms (7.8% of total)

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

series12.0ms (0.1%)

Counts

10 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite427.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4144×	`-lowering-.f32`
4144×	`-lowering-.f64`
4070×	`/-lowering-/.f32`
4070×	`/-lowering-/.f64`
3838×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	87	42
2	641	42
0	8977	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 927

Calls

Call 1

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

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

simplify507.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

9142×	`accelerator-lowering-fma.f32`
9142×	`accelerator-lowering-fma.f64`
2590×	`--lowering--.f32`
2590×	`--lowering--.f64`
2400×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	790
1	149	788
2	312	780
3	787	774
4	2181	772
5	4325	772
6	6109	772
7	6765	772
8	7007	772
9	7092	772
10	7135	772
11	7902	772
0	8465	771

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval221.0ms (2.4%)

Compiler: Compiled 19299 to 10160 computations (47.4% saved)

prune188.0ms (2%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1176	1	1177
Fresh	0	7	7
Picked	1	4	5
Done	0	6	6
Total	1177	18	1195

Accuracy

100.0%

Counts

1195 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 y x))
	20.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	55.9%	(/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	46.7%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
	18.3%	(/.f64 (*.f64 x x) y)
✓	20.2%	(/.f64 x (/.f64 y x))
✓	50.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
	34.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	46.4%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	47.2%	(/.f64 x y)
✓	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	21.6%	(-.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
	58.1%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
	43.6%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	20.2%	(*.f64 (/.f64 x y) x)
✓	50.7%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
✓	34.1%	x
✓	14.0%	#s(literal 1 binary64)

Compiler

Compiled 376 to 222 computations (41% saved)

regimes26.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
8.0ms	x
7.0ms	(/.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 13 computations (31.6% saved)

regimes47.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
97.3%	3	`x`
80.6%	7	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
90.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
88.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(/.f64 x y)
x
(/.f64 x y)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)
x
#s(literal 1 binary64)

Calls

2 calls:

3.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
34.1%	1	`y`
44.4%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

2 calls:

1.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
14.0%	1	`y`
14.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.004688885625097685	601091001.1563743
12.0ms	-10.685491555738995	-0.0024262317861038583

Results

18.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-div: 5.0ms (47% of total)

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

ival-mult: 2.0ms (18.8% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	601091001.1563743	3497366295531601400.0
12.0ms	-31671821827.95834	-1915501804.164366

Results

21.0ms

272×

valid

Compiler

Compiled 290 to 217 computations (25.2% saved)

Precisions

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

ival-div: 4.0ms (41.3% of total)

ival-add: 3.0ms (31% of total)

ival-mult: 2.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch83.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	0.004688885625097685	601091001.1563743
12.0ms	-10.685491555738995	-0.0024262317861038583

Results

71.0ms

288×

valid

Compiler

Compiled 234 to 175 computations (25.2% saved)

Precisions

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

ival-div: 4.0ms (39.9% of total)

ival-add: 3.0ms (29.9% of total)

ival-mult: 2.0ms (20% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	601091001.1563743	3497366295531601400.0
16.0ms	-10.685491555738995	-0.0024262317861038583

Results

22.0ms

288×

valid

Compiler

Compiled 198 to 139 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 8.0ms (58.1% of total)

ival-add: 3.0ms (21.8% of total)

ival-mult: 2.0ms (14.5% of total)

const: 1.0ms (7.3% of total)

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

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.004688885625097685	601091001.1563743
16.0ms	-10.685491555738995	-0.0024262317861038583

Results

18.0ms

288×

valid

Compiler

Compiled 162 to 139 computations (14.2% saved)

Precisions

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

ival-div: 4.0ms (40.2% of total)

ival-add: 3.0ms (30.1% of total)

ival-mult: 2.0ms (20.1% of total)

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 107 to 60 computations (43.9% saved)

preprocess60.0ms (0.6%)

Compiler: Compiled 270 to 160 computations (40.7% saved)

Iter	Nodes	Cost
0	8	30
1	15	30
2	25	30
3	47	30
4	77	30
5	133	30
6	229	30
7	295	30
8	296	30
9	298	30
10	298	30
11	299	30
12	301	30
13	309	30
0	309	29

Iter	Nodes	Cost
0	8	30
1	15	30
2	25	30
3	47	30
4	77	30
5	133	30
6	229	30
7	295	30
8	296	30
9	298	30
10	298	30
11	299	30
12	301	30
13	309	30
0	309	29

analyze31.0ms (0.3%)

sample914.0ms (9.9%)

preprocess195.0ms (2.1%)

explain94.0ms (1%)

eval2.0ms (0%)

prune1.0ms (0%)

localize71.0ms (0.8%)

series38.0ms (0.4%)

rewrite485.0ms (5.2%)

simplify807.0ms (8.7%)

eval113.0ms (1.2%)

prune83.0ms (0.9%)

localize366.0ms (4%)

series22.0ms (0.2%)

rewrite631.0ms (6.8%)

simplify853.0ms (9.2%)

eval363.0ms (3.9%)

prune228.0ms (2.5%)

localize205.0ms (2.2%)

series21.0ms (0.2%)

rewrite507.0ms (5.5%)

simplify953.0ms (10.3%)

eval198.0ms (2.1%)

prune148.0ms (1.6%)

localize181.0ms (2%)

series12.0ms (0.1%)

rewrite427.0ms (4.6%)

simplify507.0ms (5.5%)

eval221.0ms (2.4%)

prune188.0ms (2%)

regimes26.0ms (0.3%)

regimes47.0ms (0.5%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

bsearch31.0ms (0.3%)

bsearch33.0ms (0.4%)

bsearch83.0ms (0.9%)

bsearch36.0ms (0.4%)

bsearch33.0ms (0.4%)

soundness1.0ms (0%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	30
1	15	30
2	25	30
3	47	30
4	77	30
5	133	30
6	229	30
7	295	30
8	296	30
9	298	30
10	298	30
11	299	30
12	301	30
13	309	30
0	309	29