Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, C

analyze13.0ms (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-sub: 2.0ms (52.6% of total)

ival-div: 1.0ms (26.3% of total)

const: 0.0ms (0% of total)

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

sample751.0ms (13.8%)

Results

518.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-sub: 130.0ms (63.3% of total)

ival-div: 60.0ms (29.2% of total)

const: 12.0ms (5.8% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess162.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2234×	`sum3-define`
2168×	`fnmadd-define`
1568×	`fma-define`
1130×	`fmsub-define`
1120×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	56	45
2	135	43
3	419	42
4	1159	42
5	2884	42
6	5007	42
7	6107	42
8	6299	42
9	6358	42
10	6382	42
11	6458	42
0	6	7
1	14	7
2	21	7
3	38	7
4	76	7
5	165	7
6	476	7
7	1141	7
8	1781	7
9	1947	7
10	1966	7
11	1974	7
0	1974	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain53.0ms (1%)

FPErrors

Click to see full error table

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

Results

33.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 7.0ms (56.8% of total)

ival-div: 4.0ms (32.5% of total)

const: 1.0ms (8.1% 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 y x) (+.f64 y #s(literal -1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

502×	`fnmadd-define`
464×	`sum4-define`
464×	`sum5-define`
458×	`sum3-define`
408×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	12	16
2	18	16
3	31	16
4	63	16
5	127	16
6	241	16
7	441	16
8	853	16
9	1574	16
10	2104	16
11	2163	16
12	2532	16
13	2548	16
0	2548	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

16.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-sub: 2.0ms (37.2% of total)

ival-div: 2.0ms (37.2% of total)

ival-add: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (- y x) (+ y -1))
3.0ms	x	@	-inf	(/ (- y x) (+ y -1))
0.0ms	y	@	inf	(/ (- y x) (+ y -1))
0.0ms	x	@	0	(/ (- y x) (+ y -1))
0.0ms	y	@	inf	(- y x)

rewrite320.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3044×	`-lowering-.f32`
3044×	`-lowering-.f64`
2798×	`/-lowering-/.f32`
2798×	`/-lowering-/.f64`
1284×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	43	13
2	359	13
3	5115	13
0	8053	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 356

Calls

Call 1

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

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

simplify198.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1978×	`+-lowering-+.f64`
1978×	`+-lowering-+.f32`
1778×	`fmsub-define`
1660×	`fma-lowering-fma.f32`
1660×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	374
1	292	340
2	1009	327
3	3916	318
0	8563	318

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval47.0ms (0.9%)

Compiler: Compiled 9547 to 1018 computations (89.3% saved)

prune59.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	407	9	416
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	407	10	417

Accuracy

100.0%

Counts

417 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (+.f64 y #s(literal -1 binary64)))
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
	48.8%	(/.f64 (-.f64 y x) y)
▶	51.8%	(/.f64 (-.f64 y x) #s(literal -1 binary64))
	46.0%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
▶	54.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x)))
▶	51.9%	(-.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	40.5%	x
▶	35.7%	#s(literal 1 binary64)

Compiler

Compiled 143 to 100 computations (30.1% saved)

simplify114.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1348×	`fnmadd-define`
1060×	`fmsub-define`
1026×	`fnmsub-define`
934×	`fma-define`
924×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	33	66
2	72	64
3	210	61
4	530	61
5	1615	61
6	3424	61
7	4440	61
8	4937	61
9	5303	61
10	5480	61
0	5480	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize68.0ms (1.3%)

Localize:

Found 11 expressions of interest:

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

Results

42.0ms

256×

valid

Compiler

Compiled 70 to 15 computations (78.6% saved)

Precisions

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

ival-div: 7.0ms (40.4% of total)

ival-sub: 6.0ms (34.6% of total)

ival-add: 2.0ms (11.5% of total)

ival-mult: 2.0ms (11.5% of total)

const: 1.0ms (5.8% of total)

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

series13.0ms (0.2%)

Counts

10 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite286.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3948×	`/-lowering-/.f32`
3948×	`/-lowering-/.f64`
3808×	`-lowering-.f32`
3808×	`-lowering-.f64`
1818×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	110	47
2	922	46
0	8872	46

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 700

Calls

Call 1

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

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

simplify288.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

2988×	`+-lowering-+.f64`
2988×	`+-lowering-+.f32`
2746×	`-lowering-.f32`
2746×	`-lowering-.f64`
1248×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	1578
1	971	1390
2	3130	1320
0	8428	1320

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval120.0ms (2.2%)

Compiler: Compiled 19836 to 2385 computations (88% saved)

prune153.0ms (2.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	989	4	993
Fresh	1	3	4
Picked	3	2	5
Done	0	1	1
Total	993	10	1003

Accuracy

100.0%

Counts

1003 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
	48.8%	(/.f64 (-.f64 y x) y)
▶	46.0%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
▶	13.0%	(/.f64 y #s(literal -1 binary64))
✓	54.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
	46.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
▶	51.8%	(-.f64 x y)
▶	40.6%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	40.5%	x
✓	35.7%	#s(literal 1 binary64)

Compiler

Compiled 105 to 74 computations (29.5% saved)

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

640×	`fnmadd-define`
508×	`fma-define`
472×	`sum3-define`
468×	`fmsub-define`
464×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	23	31
2	34	31
3	60	31
4	81	30
5	166	30
6	425	30
7	575	30
8	913	30
9	1523	30
10	1729	30
11	1938	30
12	2331	30
13	2356	30
14	2386	30
15	2405	30
16	2413	30
0	2413	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.9%)

Localize:

Found 6 expressions of interest:

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

Results

33.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 4.0ms (37% of total)

ival-add: 3.0ms (27.7% of total)

ival-sub: 2.0ms (18.5% of total)

ival-mult: 2.0ms (18.5% of total)

const: 1.0ms (9.2% of total)

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

series3.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite274.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2272×	`-lowering-.f32`
2272×	`-lowering-.f64`
2218×	`/-lowering-/.f32`
2218×	`/-lowering-/.f64`
1652×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	65	20
2	452	20
3	4658	20
0	8216	20

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 417

Calls

Call 1

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

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

simplify160.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1846×	`fnmadd-define`
1720×	`fma-lowering-fma.f32`
1720×	`fma-lowering-fma.f64`
1394×	`fma-define`
1322×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	344
1	184	317
2	482	314
3	1270	311
4	3600	309
0	8090	309

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval112.0ms (2.1%)

Compiler: Compiled 8873 to 1084 computations (87.8% saved)

prune61.0ms (1.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	511	2	513
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	513	10	523

Accuracy

100.0%

Counts

523 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
▶	48.8%	(/.f64 (-.f64 y x) y)
✓	46.0%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
✓	54.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	51.8%	(-.f64 x y)
▶	12.6%	(*.f64 y (-.f64 #s(literal -1 binary64) y))
✓	40.6%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	13.0%	(neg.f64 y)
✓	40.5%	x
✓	35.7%	#s(literal 1 binary64)

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) y)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal -1 binary64) y))
✓	cost-diff	-64	(neg.f64 y)

Rules

614×	`fnmadd-define`
572×	`fmsub-define`
558×	`fnmsub-define`
508×	`sum3-define`
470×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	18	23
2	33	23
3	75	23
4	180	22
5	419	22
6	1060	22
7	1582	22
8	2564	22
9	2772	22
10	2825	22
11	2878	22
12	2886	22
0	2886	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (0.7%)

Localize:

Found 5 expressions of interest:

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

Results

25.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-neg: 5.0ms (41% of total)

ival-sub: 3.0ms (24.6% of total)

ival-div: 2.0ms (16.4% of total)

ival-mult: 2.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite231.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
1320×	`/-lowering-/.f32`
1320×	`/-lowering-/.f64`
1076×	`unpow-prod-down`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	48	18
2	367	18
3	3940	16
0	9466	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 382

Calls

Call 1

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

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

simplify167.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2274×	`fnmadd-define`
1942×	`-lowering-.f32`
1942×	`-lowering-.f64`
1642×	`fmsub-define`
1526×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	297
1	118	297
2	348	279
3	1099	270
4	4673	270
0	8018	270

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval74.0ms (1.4%)

Compiler: Compiled 8165 to 946 computations (88.4% saved)

prune67.0ms (1.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	465	11	476

Accuracy

100.0%

Counts

476 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
✓	48.8%	(/.f64 (-.f64 y x) y)
✓	46.0%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
✓	54.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	51.8%	(-.f64 x y)
✓	12.6%	(*.f64 y (-.f64 #s(literal -1 binary64) y))
✓	40.6%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	13.0%	(neg.f64 y)
	3.6%	y
✓	40.5%	x
✓	35.7%	#s(literal 1 binary64)

Compiler

Compiled 153 to 74 computations (51.6% saved)

regimes22.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
79.2%	3	`x`
97.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
86.5%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.2%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
54.3%	3	`x`
72.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
35.7%	1	`x`
35.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	7.673566840850358e-7	16.691387074802357
10.0ms	-1750.53712871272	-0.1271020287934259

Results

12.0ms

272×

valid

Compiler

Compiled 320 to 214 computations (33.1% saved)

Precisions

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

ival-sub: 3.0ms (55.8% of total)

ival-div: 2.0ms (37.2% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.673566840850358e-7	16.691387074802357
10.0ms	-1750.53712871272	-0.1271020287934259

Results

14.0ms

272×

valid

Compiler

Compiled 252 to 163 computations (35.3% saved)

Precisions

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

ival-sub: 3.0ms (45.6% of total)

ival-div: 3.0ms (45.6% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	7.673566840850358e-7	16.691387074802357
11.0ms	-0.00019865888423331967	-1.3275798037855655e-8
10.0ms	-1.3102037270731567e+36	-1.685590939523003e+32

Results

19.0ms

400×

valid

Compiler

Compiled 348 to 260 computations (25.3% saved)

Precisions

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

ival-sub: 4.0ms (51% of total)

ival-div: 3.0ms (38.3% of total)

const: 1.0ms (12.8% of total)

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

bsearch38.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	7.673566840850358e-7	16.691387074802357
11.0ms	-0.00019865888423331967	-1.3275798037855655e-8
10.0ms	-1.3102037270731567e+36	-1.685590939523003e+32

Results

20.0ms

400×

valid

Compiler

Compiled 312 to 242 computations (22.4% saved)

Precisions

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

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

ival-div: 3.0ms (37.9% of total)

const: 1.0ms (12.6% of total)

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

bsearch28.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.673566840850358e-7	16.691387074802357
14.0ms	-16272200608247446000.0	-2605164062.456821

Results

15.0ms

304×

valid

Compiler

Compiled 204 to 162 computations (20.6% saved)

Precisions

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

ival-sub: 3.0ms (49.9% of total)

ival-div: 2.0ms (33.3% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.673566840850358e-7	16.691387074802357
12.0ms	-16272200608247446000.0	-2605164062.456821

Results

18.0ms

304×

valid

Compiler

Compiled 166 to 143 computations (13.9% saved)

Precisions

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

ival-sub: 8.0ms (74.6% of total)

ival-div: 2.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

128×	`unsub-neg_binary64`
102×	`distribute-lft-neg-in_binary64`
84×	`neg-mul-1_binary64`
54×	`neg-sub0_binary64`
48×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	67	118
2	83	118
3	95	118
4	115	118
5	154	118
6	181	118
7	220	118
8	274	118
9	328	118
10	382	118
11	422	118
12	446	118
13	454	118
14	456	118

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 y x) y)))
(if (<=.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) (/.f64 (-.f64 y x) y)))
(if (<=.f64 y #s(literal -60000000000000003652042886863650816 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -6800207735332289/75557863725914323419136 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 3172839980678043/73786976294838206464 binary64)) (-.f64 x y) (/.f64 y (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -229999999999999996129214411571200 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -7791904696734915/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -2650000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -2650000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 y x) y)))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 y x) y)))
(if (<=.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) (/.f64 (-.f64 y x) y)))
(if (<=.f64 y #s(literal -60000000000000003652042886863650816 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -6800207735332289/75557863725914323419136 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 3172839980678043/73786976294838206464 binary64)) (-.f64 x y) (/.f64 y (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -229999999999999996129214411571200 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -7791904696734915/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -2650000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -2650000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.0s (18.6%)

Rules

2988×	`+-lowering-+.f64`
2988×	`+-lowering-+.f32`
2746×	`-lowering-.f32`
2746×	`-lowering-.f64`
1978×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1578
1	971	1390
2	3130	1320
0	8428	1320
0	94	374
1	292	340
2	1009	327
3	3916	318
0	8563	318
0	6	7
1	14	7
2	21	7
3	38	7
4	76	7
5	165	7
6	476	7
7	1141	7
8	1781	7
9	1947	7
10	1966	7
11	1974	7
0	1974	7

Stop Event

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

Compiler

Compiled 382 to 218 computations (42.9% saved)

preprocess51.0ms (0.9%)

Compiler: Compiled 274 to 100 computations (63.5% saved)

Iter	Nodes	Cost
0	44	118
1	67	118
2	83	118
3	95	118
4	115	118
5	154	118
6	181	118
7	220	118
8	274	118
9	328	118
10	382	118
11	422	118
12	446	118
13	454	118
14	456	118

Iter	Nodes	Cost
0	44	118
1	67	118
2	83	118
3	95	118
4	115	118
5	154	118
6	181	118
7	220	118
8	274	118
9	328	118
10	382	118
11	422	118
12	446	118
13	454	118
14	456	118

analyze13.0ms (0.2%)

sample751.0ms (13.8%)

preprocess162.0ms (3%)

explain53.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.9%)

localize22.0ms (0.4%)

series10.0ms (0.2%)

rewrite320.0ms (5.9%)

simplify198.0ms (3.6%)

eval47.0ms (0.9%)

prune59.0ms (1.1%)

simplify114.0ms (2.1%)

localize68.0ms (1.3%)

series13.0ms (0.2%)

rewrite286.0ms (5.3%)

simplify288.0ms (5.3%)

eval120.0ms (2.2%)

prune153.0ms (2.8%)

simplify60.0ms (1.1%)

localize48.0ms (0.9%)

series3.0ms (0.1%)

rewrite274.0ms (5.1%)

simplify160.0ms (2.9%)

eval112.0ms (2.1%)

prune61.0ms (1.1%)

simplify64.0ms (1.2%)

localize39.0ms (0.7%)

series4.0ms (0.1%)

rewrite231.0ms (4.3%)

simplify167.0ms (3.1%)

eval74.0ms (1.4%)

prune67.0ms (1.2%)

regimes22.0ms (0.4%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch37.0ms (0.7%)

bsearch24.0ms (0.4%)

bsearch35.0ms (0.6%)

bsearch38.0ms (0.7%)

bsearch28.0ms (0.5%)

bsearch30.0ms (0.6%)

simplify25.0ms (0.5%)

soundness1.0s (18.6%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	118
1	67	118
2	83	118
3	95	118
4	115	118
5	154	118
6	181	118
7	220	118
8	274	118
9	328	118
10	382	118
11	422	118
12	446	118
13	454	118
14	456	118