Metrics for Data.Colour.SRGB:invTransferFunction from colour-2.3.3

analyze19.0ms (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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-add: 3.0ms (74.8% of total)

ival-div: 1.0ms (24.9% of total)

const: 0.0ms (0% of total)

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

sample808.0ms (14.6%)

Results

610.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-add: 146.0ms (60.1% of total)

ival-div: 83.0ms (34.1% of total)

const: 12.0ms (4.9% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess75.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

2850×	`fnmadd-define`
1856×	`sum4-define`
1640×	`sum3-define`
1478×	`fnmsub-define`
1444×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	44	42
2	91	42
3	230	42
4	786	42
5	2444	42
6	5598	42
7	6340	42
8	7672	42
0	6	7
1	10	7
0	10	7

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain89.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

67.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-add: 6.0ms (57% of total)

ival-div: 4.0ms (38% of total)

const: 1.0ms (9.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	10	16
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize29.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

22.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-add: 3.0ms (57.6% of total)

ival-div: 2.0ms (38.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite338.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
2366×	`fma-lowering-fma.f32`
2366×	`fma-lowering-fma.f64`
2232×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	325	13
3	4045	13
0	8441	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 361

Calls

Call 1

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

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

simplify219.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2296×	`+-lowering-+.f64`
2296×	`+-lowering-+.f32`
1894×	`-lowering-.f32`
1894×	`-lowering-.f64`
1804×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	353
1	277	332
2	800	322
3	3317	300
0	8543	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval60.0ms (1.1%)

Compiler: Compiled 8947 to 1033 computations (88.5% saved)

prune71.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	413	8	421
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	413	9	422

Accuracy

100.0%

Counts

422 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	49.7%	(/.f64 (+.f64 x y) y)
	50.9%	(/.f64 (+.f64 x y) #s(literal 1 binary64))
▶	50.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶	51.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	50.6%	(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	49.3%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	37.3%	x
▶	37.2%	#s(literal 1 binary64)

Compiler

Compiled 113 to 80 computations (29.2% saved)

simplify131.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

2004×	`sum5-define`
1262×	`sum3-define`
1100×	`sum4-define`
1042×	`fnmadd-define`
866×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	19	49
2	31	49
3	60	48
4	145	48
5	286	48
6	491	48
7	919	48
8	2985	48
9	4087	48
10	4774	48
11	5500	48
12	5542	48
13	5569	48
14	5601	48
15	5628	48
16	5636	48
0	5636	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize72.0ms (1.3%)

Localize:

Found 9 expressions of interest:

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

Results

54.0ms

256×

valid

Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions

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

ival-div: 5.0ms (37.4% of total)

ival-add: 4.0ms (30% of total)

ival-mult: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

8 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite335.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

4268×	`-lowering-.f32`
4268×	`-lowering-.f64`
3636×	`/-lowering-/.f32`
3636×	`/-lowering-/.f64`
1544×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	77	35
2	651	35
3	7844	35
0	8522	35

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 501

Calls

Call 1

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

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

simplify262.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

3168×	`-lowering-.f32`
3168×	`-lowering-.f64`
2320×	`+-lowering-+.f64`
2320×	`+-lowering-+.f32`
1734×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	769
1	400	680
2	1023	671
3	3647	666
0	8407	666

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval129.0ms (2.3%)

Compiler: Compiled 14005 to 1486 computations (89.4% saved)

prune114.0ms (2.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	735	5	740
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	739	10	749

Accuracy

100.0%

Counts

749 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	50.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	51.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	16.0%	(/.f64 x y)
▶	50.9%	(+.f64 x y)
	49.7%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶	37.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	15.5%	y
▶	37.3%	x
✓	37.2%	#s(literal 1 binary64)

Compiler

Compiled 86 to 59 computations (31.4% saved)

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

512×	`sum3-define`
436×	`fnmadd-define`
376×	`fma-define`
360×	`fmsub-define`
360×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	13	23
2	23	23
3	43	22
4	102	22
5	162	22
6	274	22
7	412	22
8	1104	22
9	1277	22
10	1611	22
11	1905	22
12	2018	22
13	2024	22
14	2037	22
15	2056	22
16	2064	22
0	2064	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize138.0ms (2.5%)

Localize:

Found 4 expressions of interest:

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

Results

109.0ms

256×

valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

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

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

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

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

ival-sub: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite561.0ms (10.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3186×	`-lowering-.f32`
3186×	`-lowering-.f64`
2156×	`/-lowering-/.f32`
2156×	`/-lowering-/.f64`
1992×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	42	14
2	301	14
3	2736	13
0	9430	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 279

Calls

Call 1

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

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

simplify268.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2048×	`sum5-define`
1584×	`sum3-define`
1558×	`fnmsub-define`
1492×	`sum4-define`
1456×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	278
1	116	257
2	283	257
3	791	257
4	2388	257
5	4812	257
6	7731	257
0	8147	257

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval43.0ms (0.8%)

Compiler: Compiled 6462 to 832 computations (87.1% saved)

prune39.0ms (0.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	363	0	363
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	363	10	373

Accuracy

100.0%

Counts

373 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	50.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	51.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	16.0%	(/.f64 x y)
✓	50.9%	(+.f64 x y)
▶	49.7%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	37.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	15.5%	y
✓	37.3%	x
✓	37.2%	#s(literal 1 binary64)

Compiler

Compiled 56 to 39 computations (30.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize98.0ms (1.8%)

Localize:

Found 2 expressions of interest:

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

Results

18.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (48.5% of total)

ival-add: 1.0ms (24.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 48

Calls

Call 1

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

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 (/ 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

12 calls:

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

rewrite204.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2670×	`-lowering-.f32`
2670×	`-lowering-.f64`
1316×	`/-lowering-/.f32`
1316×	`/-lowering-/.f64`
1112×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	28	8
2	229	8
3	4446	8
0	8546	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 105

Calls

Call 1

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-define`
32×	`-lowering-.f32`
32×	`-lowering-.f64`
24×	`fma-lowering-fma.f32`
24×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	174
1	25	174
2	38	174
3	43	174
4	61	174
5	71	174
6	79	174
0	79	174

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

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))
(/ 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
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)

eval28.0ms (0.5%)

Compiler: Compiled 2641 to 302 computations (88.6% saved)

prune20.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	153	10	163

Accuracy

100.0%

Counts

163 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	50.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	51.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	16.0%	(/.f64 x y)
✓	50.9%	(+.f64 x y)
✓	49.7%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	37.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	15.5%	y
✓	37.3%	x
✓	37.2%	#s(literal 1 binary64)

Compiler

Compiled 118 to 60 computations (49.2% saved)

regimes17.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
5.0ms	y
5.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
78.8%	3	`x`
97.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.9%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
51.5%	3	`x`
70.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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	y
1.0ms	x

Results

Accuracy	Segments	Branch
37.2%	1	`x`
37.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.2580441078798468	305938.79623467947
15.0ms	-37.991636035791664	-0.0078030396163859045

Results

14.0ms

272×

valid

Compiler

Compiled 354 to 265 computations (25.1% saved)

Precisions

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

ival-add: 3.0ms (56.2% of total)

ival-div: 2.0ms (37.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.2580441078798468	305938.79623467947
11.0ms	-37.991636035791664	-0.0078030396163859045

Results

14.0ms

272×

valid

Compiler

Compiled 286 to 214 computations (25.2% saved)

Precisions

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

ival-add: 3.0ms (54.2% of total)

ival-div: 2.0ms (36.2% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.2580441078798468	305938.79623467947
11.0ms	-37.991636035791664	-0.0078030396163859045

Results

14.0ms

272×

valid

Compiler

Compiled 252 to 180 computations (28.6% saved)

Precisions

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

ival-add: 3.0ms (55.4% of total)

ival-div: 2.0ms (36.9% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2580441078798468	305938.79623467947
13.0ms	-37.991636035791664	-0.0078030396163859045
12.0ms	-1.0389800859078894e+128	-7.989312418093896e+122

Results

25.0ms

416×

valid

Compiler

Compiled 290 to 218 computations (24.8% saved)

Precisions

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

ival-add: 7.0ms (66.1% of total)

ival-div: 3.0ms (28.3% of total)

const: 1.0ms (9.4% of total)

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

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.2580441078798468	305938.79623467947
12.0ms	-37.991636035791664	-0.0078030396163859045

Results

18.0ms

272×

valid

Compiler

Compiled 184 to 146 computations (20.7% saved)

Precisions

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

ival-add: 3.0ms (55.3% of total)

ival-div: 2.0ms (36.9% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2580441078798468	305938.79623467947
11.0ms	-37.991636035791664	-0.0078030396163859045

Results

15.0ms

272×

valid

Compiler

Compiled 150 to 129 computations (14% saved)

Precisions

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

ival-add: 3.0ms (57.3% of total)

ival-div: 2.0ms (38.2% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
10×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	111
1	65	111
2	68	111
3	70	111
4	71	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -800000000000000011524758069796219084664894897942650104109698519483991416553009053014906061005811648644043497466369868300288 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 25 binary64)) (+.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 59 binary64)) (+.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3152519739159347/281474976710656 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -800000000000000011524758069796219084664894897942650104109698519483991416553009053014906061005811648644043497466369868300288 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 25 binary64)) (+.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 59 binary64)) (+.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3152519739159347/281474976710656 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness904.0ms (16.3%)

Rules

3168×	`-lowering-.f32`
3168×	`-lowering-.f64`
2320×	`+-lowering-+.f64`
2320×	`+-lowering-+.f32`
2296×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	769
1	400	680
2	1023	671
3	3647	666
0	8407	666
0	88	353
1	277	332
2	800	322
3	3317	300
0	8543	300

Stop Event

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

Compiler

Compiled 253 to 127 computations (49.8% saved)

preprocess49.0ms (0.9%)

Compiler: Compiled 276 to 92 computations (66.7% saved)

analyze19.0ms (0.3%)

sample808.0ms (14.6%)

preprocess75.0ms (1.4%)

explain89.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize29.0ms (0.5%)

series3.0ms (0.1%)

rewrite338.0ms (6.1%)

simplify219.0ms (3.9%)

eval60.0ms (1.1%)

prune71.0ms (1.3%)

simplify131.0ms (2.4%)

localize72.0ms (1.3%)

series9.0ms (0.2%)

rewrite335.0ms (6%)

simplify262.0ms (4.7%)

eval129.0ms (2.3%)

prune114.0ms (2.1%)

simplify126.0ms (2.3%)

localize138.0ms (2.5%)

series4.0ms (0.1%)

rewrite561.0ms (10.1%)

simplify268.0ms (4.8%)

eval43.0ms (0.8%)

prune39.0ms (0.7%)

simplify5.0ms (0.1%)

localize98.0ms (1.8%)

series1.0ms (0%)

rewrite204.0ms (3.7%)

simplify10.0ms (0.2%)

eval28.0ms (0.5%)

prune20.0ms (0.4%)

regimes17.0ms (0.3%)

regimes10.0ms (0.2%)

regimes20.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch44.0ms (0.8%)

bsearch34.0ms (0.6%)

bsearch28.0ms (0.5%)

bsearch41.0ms (0.7%)

bsearch29.0ms (0.5%)

bsearch26.0ms (0.5%)

simplify10.0ms (0.2%)

soundness904.0ms (16.3%)

preprocess49.0ms (0.9%)

end0.0ms (0%)

Profiling