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

analyze14.0ms (0.2%)

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: 2.0ms (52.9% of total)

ival-div: 1.0ms (26.5% of total)

const: 0.0ms (0% of total)

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

sample658.0ms (9.1%)

Results

445.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-add: 111.0ms (52.9% of total)

ival-div: 85.0ms (40.5% of total)

const: 11.0ms (5.2% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess70.0ms (1%)

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))

explain63.0ms (0.9%)

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

39.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-add: 12.0ms (71.3% of total)

ival-div: 4.0ms (23.8% of total)

const: 1.0ms (5.9% 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)

localize83.0ms (1.1%)

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

75.0ms

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 (59.2% of total)

ival-div: 2.0ms (39.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (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
6.0ms	y	@	0	(/ (+ x y) (+ y 1))
1.0ms	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)

rewrite334.0ms (4.6%)

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))))

simplify205.0ms (2.8%)

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))

eval47.0ms (0.7%)

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

prune86.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	411	10	421
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	411	11	422

Accuracy

100.0%

Counts

422 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
	53.2%	(/.f64 (+.f64 x y) y)
▶	47.6%	(/.f64 (+.f64 x y) #s(literal 1 binary64))
	71.2%	(/.f64 (.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (+.f64 (.f64 y y) #s(literal -1 binary64)))
	51.1%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶	50.7%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
	47.5%	(+.f64 x (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))
▶	52.9%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
	35.5%	x
▶	38.5%	#s(literal 1 binary64)

Compiler

Compiled 173 to 116 computations (32.9% saved)

simplify124.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1192×	`sum5-define`
1052×	`fnmadd-define`
908×	`sum3-define`
816×	`fmsub-define`
800×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	29	60
2	54	60
3	89	60
4	102	60
5	112	60
6	116	60
7	117	60
8	122	60
9	128	60
10	138	60
11	148	60
12	204	60
13	262	60
14	310	60
15	398	60
16	571	60
17	1002	60
18	1746	60
19	2887	60
20	3553	60
21	4502	60
22	4612	60
23	4638	60
24	4711	60
25	4730	60
26	4738	60
0	4738	60

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize70.0ms (1%)

Localize:

Found 11 expressions of interest:

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

Results

40.0ms

256×

valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

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

ival-div: 7.0ms (41.8% of total)

ival-add: 7.0ms (41.8% of total)

ival-mult: 2.0ms (11.9% of total)

const: 1.0ms (6% of total)

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

series11.0ms (0.2%)

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite411.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4152×	`-lowering-.f32`
4152×	`-lowering-.f64`
3372×	`/-lowering-/.f32`
3372×	`/-lowering-/.f64`
1862×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	96	40
2	882	40
0	8760	40

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 571

Calls

Call 1

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

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

simplify357.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

2556×	`-lowering-.f32`
2556×	`-lowering-.f64`
2490×	`+-lowering-+.f64`
2490×	`+-lowering-+.f32`
1576×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	965
1	553	916
2	1490	901
3	6225	900
0	8186	900

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval132.0ms (1.8%)

Compiler: Compiled 14037 to 1631 computations (88.4% saved)

prune389.0ms (5.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	891	5	896
Fresh	1	4	5
Picked	3	2	5
Done	0	1	1
Total	895	12	907

Accuracy

100.0%

Counts

907 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	71.2%	(/.f64 (.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (+.f64 (.f64 y y) #s(literal -1 binary64)))
	51.1%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	50.7%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
	17.4%	(/.f64 x y)
▶	47.6%	(+.f64 y x)
	47.5%	(+.f64 x (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))
▶	53.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶	50.6%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
	15.2%	y
▶	35.5%	x
✓	38.5%	#s(literal 1 binary64)

Compiler

Compiled 153 to 100 computations (34.6% saved)

simplify264.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

2498×	`+-lowering-+.f64`
2498×	`+-lowering-+.f32`
2478×	`-lowering-.f32`
2478×	`-lowering-.f64`
1340×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	39	66
2	88	62
3	294	61
4	572	61
5	1707	61
0	8729	61

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize87.0ms (1.2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (*.f64 y y) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	71.9%	(/.f64 (.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (+.f64 (.f64 y y) #s(literal -1 binary64)))

Results

69.0ms

256×

valid

Compiler

Compiled 75 to 17 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 23.0ms (48.5% of total)

ival-add: 18.0ms (38% of total)

ival-div: 6.0ms (12.7% of total)

const: 1.0ms (2.1% of total)

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

series156.0ms (2.1%)

Counts

12 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite343.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4634×	`/-lowering-/.f32`
4634×	`/-lowering-/.f64`
3290×	`-lowering-.f32`
3290×	`-lowering-.f64`
1806×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	120	50
2	1143	49
0	8499	49

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 804

Calls

Call 1

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

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

simplify285.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3500×	`-lowering-.f32`
3500×	`-lowering-.f64`
2984×	`+-lowering-+.f64`
2984×	`+-lowering-+.f32`
1690×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1462
1	600	1239
2	1888	1186
0	8325	1186

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval150.0ms (2.1%)

Compiler: Compiled 25574 to 2584 computations (89.9% saved)

prune204.0ms (2.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1031	1	1032
Fresh	0	4	4
Picked	1	4	5
Done	0	3	3
Total	1032	12	1044

Accuracy

100.0%

Counts

1044 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	43.4%	(/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) x) (+.f64 (.f64 y y) #s(literal -1 binary64)))
▶	51.1%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	50.7%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	17.4%	(/.f64 x y)
✓	47.6%	(+.f64 y x)
▶	47.5%	(+.f64 x (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))
✓	53.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	50.6%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
▶	15.2%	y
✓	35.5%	x
✓	38.5%	#s(literal 1 binary64)

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify332.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

2728×	`-lowering-.f32`
2728×	`-lowering-.f64`
2078×	`--lowering--.f32`
2078×	`--lowering--.f64`
1848×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	77
1	46	76
2	163	73
3	449	68
4	1158	67
5	3818	67
0	8097	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize82.0ms (1.1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (*.f64 y y) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal -1 binary64)) x)
✓	accuracy	81.7%	(/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) x) (+.f64 (.f64 y y) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))

Results

53.0ms

256×

valid

Compiler

Compiled 83 to 17 computations (79.5% saved)

Precisions

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

ival-add: 7.0ms (35.3% of total)

ival-mult: 7.0ms (35.3% of total)

ival-div: 6.0ms (30.3% of total)

const: 1.0ms (5% of total)

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

series13.0ms (0.2%)

Counts

12 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite423.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4302×	`-lowering-.f32`
4302×	`-lowering-.f64`
3122×	`/-lowering-/.f32`
3122×	`/-lowering-/.f64`
2428×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	117	58
2	1058	55
0	8762	55

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 598

Calls

Call 1

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

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

simplify277.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2126×	`--lowering--.f32`
2126×	`--lowering--.f64`
2100×	`-lowering-.f32`
2100×	`-lowering-.f64`
1770×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1433
1	472	1194
2	1435	1125
3	5644	1121
0	8512	1121

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval162.0ms (2.2%)

Compiler: Compiled 16702 to 1923 computations (88.5% saved)

prune158.0ms (2.2%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	874	1	875
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	875	12	887

Accuracy

100.0%

Counts

887 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
	9.2%	(/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) x) (.f64 y y))
✓	51.1%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	50.7%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	17.4%	(/.f64 x y)
✓	47.6%	(+.f64 y x)
✓	47.5%	(+.f64 x (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))
✓	53.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	50.6%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
✓	15.2%	y
✓	35.5%	x
✓	38.5%	#s(literal 1 binary64)

Compiler

Compiled 192 to 86 computations (55.2% saved)

regimes36.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
6.0ms	x
6.0ms	(/.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 (0.1%)

Counts

12 → 3

Calls

Call 1

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
79.0%	3	`x`
97.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
82.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
50.8%	3	`x`
73.1%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
38.5%	1	`x`
38.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.007520679834512805	5.8641905260489375
16.0ms	-4259.448380324842	-0.8407589022994592

Results

18.0ms

256×

valid

Compiler

Compiled 270 to 202 computations (25.2% saved)

Precisions

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

ival-add: 9.0ms (81.2% of total)

ival-div: 2.0ms (18% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.007520679834512805	5.8641905260489375
11.0ms	-4259.448380324842	-0.8407589022994592

Results

12.0ms

256×

valid

Compiler

Compiled 238 to 170 computations (28.6% saved)

Precisions

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

ival-add: 3.0ms (59.9% of total)

ival-div: 2.0ms (39.9% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.007520679834512805	5.8641905260489375
10.0ms	-4259.448380324842	-0.8407589022994592

Results

11.0ms

256×

valid

Compiler

Compiled 174 to 138 computations (20.7% saved)

Precisions

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

ival-add: 3.0ms (60% of total)

ival-div: 2.0ms (40% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	0.007520679834512805	5.8641905260489375
8.0ms	-2.0248701917846385e-85	-1.1103591288098125e-86
11.0ms	-4259.448380324842	-0.8407589022994592

Results

18.0ms

368×

valid

Compiler

Compiled 198 to 164 computations (17.2% saved)

Precisions

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

ival-add: 4.0ms (57% of total)

ival-div: 3.0ms (42.7% of total)

const: 0.0ms (0% of total)

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

bsearch69.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	0.007520679834512805	5.8641905260489375
10.0ms	-4259.448380324842	-0.8407589022994592

Results

59.0ms

256×

valid

Compiler

Compiled 142 to 122 computations (14.1% saved)

Precisions

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

ival-div: 50.0ms (94.6% of total)

ival-add: 3.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	84
1	56	84

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 5854679515581645/4503599627370496 binary64)) (+.f64 y 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 x y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 11/2 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) y (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 607985949695017/4503599627370496 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 5854679515581645/4503599627370496 binary64)) (+.f64 y 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 5854679515581645/4503599627370496 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 y x) (+.f64 #s(literal 1 binary64) (/.f64 x 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 -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 11/2 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 11/2 binary64)) (+.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) y (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness968.0ms (13.3%)

Rules

4152×	`-lowering-.f32`
4152×	`-lowering-.f64`
3372×	`/-lowering-/.f32`
3372×	`/-lowering-/.f64`
2556×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	965
1	553	916
2	1490	901
3	6225	900
0	8186	900
0	88	353
1	277	332
2	800	322
3	3317	300
0	8543	300
0	13	41
1	96	40
2	882	40
0	8760	40

Stop Event

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

Compiler

Compiled 185 to 101 computations (45.4% saved)

preprocess39.0ms (0.5%)

Compiler: Compiled 210 to 82 computations (61% saved)

analyze14.0ms (0.2%)

sample658.0ms (9.1%)

preprocess70.0ms (1%)

explain63.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize83.0ms (1.1%)

series9.0ms (0.1%)

rewrite334.0ms (4.6%)

simplify205.0ms (2.8%)

eval47.0ms (0.7%)

prune86.0ms (1.2%)

simplify124.0ms (1.7%)

localize70.0ms (1%)

series11.0ms (0.2%)

rewrite411.0ms (5.7%)

simplify357.0ms (4.9%)

eval132.0ms (1.8%)

prune389.0ms (5.4%)

simplify264.0ms (3.6%)

localize87.0ms (1.2%)

series156.0ms (2.1%)

rewrite343.0ms (4.7%)

simplify285.0ms (3.9%)

eval150.0ms (2.1%)

prune204.0ms (2.8%)

simplify332.0ms (4.6%)

localize82.0ms (1.1%)

series13.0ms (0.2%)

rewrite423.0ms (5.8%)

simplify277.0ms (3.8%)

eval162.0ms (2.2%)

prune158.0ms (2.2%)

regimes36.0ms (0.5%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch29.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch69.0ms (1%)

simplify14.0ms (0.2%)

soundness968.0ms (13.3%)

preprocess39.0ms (0.5%)

end0.0ms (0%)

Profiling