Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

analyze67.0ms (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
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 31.0ms (79.3% of total)

ival-div: 4.0ms (10.2% of total)

ival-sub: 2.0ms (5.1% of total)

ival-add: 2.0ms (5.1% of total)

const: 1.0ms (2.6% of total)

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

sample917.0ms (2.8%)

Results

646.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-div: 118.0ms (32.6% of total)

ival-add: 103.0ms (28.4% of total)

ival-mult: 72.0ms (19.9% of total)

ival-sub: 53.0ms (14.6% of total)

const: 13.0ms (3.6% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess155.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1168×	`fnmadd-define`
848×	`fnmsub-define`
820×	`fmsub-define`
732×	`fnmadd-define`
714×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	65	66
2	138	62
3	302	60
4	849	60
5	2164	60
6	3360	60
7	3876	60
8	3910	60
9	3950	60
10	3966	60
0	9	11
1	17	10
2	29	10
3	47	10
4	96	10
5	209	10
6	507	10
7	796	10
8	1252	10
9	1830	10
10	2285	10
11	2341	10
12	2590	10
13	2697	10
14	2705	10
0	2705	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(+ x (/ y (fnmsub x (* y 1/2) 1)))
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))
(- (/ y (fnmsub x (* y -1/2) 1)) x)
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))
(+ x (/ y (fnmsub x (* y 1/2) -1)))
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))))
(+ x (/ y (fnmsub x (* y 1/2) -1)))
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))))
(- (/ y (fnmsub x (* y -1/2) 1)) x)
(- y (/ x (+ 1 (/ (* y x) 2))))
(+ y (/ x (fnmsub x (* y 1/2) 1)))

explain90.0ms (0.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`x`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`

Results

53.0ms

512×

valid

Compiler

Compiled 97 to 29 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 13.0ms (48.2% of total)

ival-sub: 5.0ms (18.5% of total)

ival-mult: 5.0ms (18.5% of total)

ival-add: 3.0ms (11.1% of total)

const: 1.0ms (3.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	cost-diff	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Rules

732×	`fnmadd-define`
558×	`fmsub-define`
540×	`fnmsub-define`
484×	`fmm-def`
444×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	17	36
2	29	36
3	47	36
4	96	36
5	209	36
6	507	36
7	796	36
8	1252	36
9	1830	36
10	2285	36
11	2341	36
12	2590	36
13	2697	36
14	2705	36
0	2705	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	89.0%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Results

21.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

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

ival-div: 4.0ms (45% of total)

ival-mult: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0%)

Counts

5 → 120

Calls

Call 1

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

Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	inf	(- x (/ y (+ 1 (/ (* x y) 2))))
0.0ms	x	@	inf	(- x (/ y (+ 1 (/ (* x y) 2))))
0.0ms	x	@	0	(- x (/ y (+ 1 (/ (* x y) 2))))
0.0ms	y	@	-inf	(- x (/ y (+ 1 (/ (* x y) 2))))

rewrite298.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4140×	`-lowering-.f32`
4140×	`-lowering-.f64`
2970×	`/-lowering-/.f32`
2970×	`/-lowering-/.f64`
1742×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	58	32
2	521	32
3	7518	32
0	8493	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 224

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y)) (+.f64 (.f64 x x) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y)) (+.f64 (.f64 x x) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))) (/.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y))) (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) y))) (+.f64 (.f64 x x) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) #s(literal 1/64 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (*.f64 x y))))))))
(/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) #s(literal 1/16 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (*.f64 x y)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))
(.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64))) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (/.f64 #s(literal 4 binary64) (.f64 x y)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x y)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(.f64 y (.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1/2 binary64))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x y)
(*.f64 y x)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)

simplify244.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

3952×	`-lowering-.f32`
3952×	`-lowering-.f64`
1762×	`/-lowering-/.f32`
1762×	`/-lowering-/.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	1040
1	826	951
2	2367	905
3	7877	905
0	8140	905

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x #s(literal -1/4 binary64))))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x #s(literal -1/4 binary64)))))) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x x))) x)))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x x))) x)) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x x))) x)))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 y y)))) (.f64 x x)) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y)))) y)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x #s(literal -1/4 binary64))))))) y)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -16 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (.f64 x x))) y)))
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(+.f64 y (.f64 x (.f64 (.f64 y y) (+.f64 (.f64 y (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x (.f64 (.f64 y (.f64 x x)) #s(literal -1/8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -16 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (.f64 x x))) y))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+.f64 y (.f64 x (.f64 (.f64 y y) (+.f64 (.f64 y (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(+.f64 y (.f64 x (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 y (.f64 y y))) (*.f64 x x))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal -8 binary64) (.f64 y y))) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval40.0ms (0.1%)

Compiler: Compiled 10134 to 977 computations (90.4% saved)

prune37.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	336	8	344
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	336	9	345

Accuracy

100.0%

Counts

345 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
▶	65.6%	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
▶	65.6%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	99.9%	(-.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) y))
	77.4%	(-.f64 x y)
	62.1%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
▶	62.9%	x

Compiler

Compiled 177 to 119 computations (32.8% saved)

simplify215.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	256	(-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	256	(/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	256	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) y)
✓	cost-diff	128	(-.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) y))

Rules

1970×	`sum3-define`
1872×	`fma-lowering-fma.f32`
1872×	`fma-lowering-fma.f64`
1700×	`fmsub-define`
1556×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	52	118
2	136	118
3	423	110
4	1379	110
5	3145	110
6	5421	110
0	8364	110

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize149.0ms (0.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	accuracy	89.2%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	79.6%	(/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) y))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	accuracy	89.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) y)

Results

110.0ms

256×

valid

Compiler

Compiled 152 to 21 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 10.0ms (41.2% of total)

ival-mult: 7.0ms (28.9% of total)

ival-sub: 5.0ms (20.6% of total)

ival-add: 1.0ms (4.1% of total)

const: 1.0ms (4.1% of total)

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

series10.0ms (0%)

Counts

13 → 276

Calls

Call 1

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

Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))>
#<alt (+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y))))>
#<alt (/ 2 (* x y))>
#<alt (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x)>
#<alt (/ 2 (* x y))>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))>
#<alt (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))>
#<alt (/ 2 (* x y))>
#<alt (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y)>
#<alt (/ 2 (* x y))>
#<alt (* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- x (/ 2 x))
1.0ms	y	@	0	(- x (/ y (* y (* x 1/2))))
0.0ms	x	@	-inf	(/ 1 (+ 1 (/ (* x y) 2)))
0.0ms	x	@	inf	(/ 1 (+ 1 (/ (* x y) 2)))
0.0ms	x	@	0	(/ 2 x)

rewrite367.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4816×	`-lowering-.f32`
4816×	`-lowering-.f64`
4550×	`/-lowering-/.f32`
4550×	`/-lowering-/.f64`
1972×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	150	72
2	1496	68
0	9038	68

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 556

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (-.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64)))) y x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (-.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) (neg.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 (-.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) (.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) (.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))))
(.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (/.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64))))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))
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(/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64)))))
(/.f64 (.f64 y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x y)))))
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(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x y)))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x y)))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))))))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x y)))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 4 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 x y)
(*.f64 y x)

simplify26.0s (78.4%)

Algorithm

1×	egg-herbie

Rules

5084×	`-lowering-.f32`
5084×	`-lowering-.f64`
2142×	`+-lowering-+.f64`
2142×	`+-lowering-+.f32`
1800×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	2428
1	1096	2222
2	3068	2145
0	8527	2145

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))
(+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y))))
(/ 2 (* x y))
(/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x)
(/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x)
(/ 2 (* x y))
(* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))
(+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))
(/ 2 (* x y))
(/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y)
(/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y)
(/ 2 (* x y))
(* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(+.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 #s(literal -1/4 binary64) y)))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/4 binary64) y)))) (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) (.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 #s(literal -1/4 binary64) y)))))) y)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
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(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
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(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(+.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 #s(literal -1/4 binary64) y)))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/4 binary64) y)))) (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) (.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 #s(literal -1/4 binary64) y)))))) y)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)) (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (.f64 y y)))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y)) (.f64 y y)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) y)) #s(literal -1/2 binary64))))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(+.f64 y (.f64 x (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal -1/2 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x)))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 y (.f64 y y))))) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) y)) #s(literal -1/2 binary64))))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 x #s(literal -1/2 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (*.f64 y y))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y)) (.f64 y y)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval160.0ms (0.5%)

Compiler: Compiled 17333 to 1680 computations (90.3% saved)

prune74.0ms (0.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	979	5	984
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	982	11	993

Accuracy

100.0%

Counts

993 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.8%	(/.f64 #s(literal -2 binary64) x)
	57.3%	(-.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) y))
	65.6%	(-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	65.6%	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	65.6%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	77.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
▶	65.6%	(-.f64 x (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y))
▶	77.4%	(-.f64 x y)
✓	62.9%	x

Compiler

Compiled 172 to 115 computations (33.1% saved)

simplify168.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x y))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y)
✓	cost-diff	256	(-.f64 x (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	256	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
✓	cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))

Rules

1544×	`fnmadd-define`
1516×	`fma-lowering-fma.f32`
1516×	`fma-lowering-fma.f64`
1502×	`fma-define`
1476×	`-lowering-.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	85
1	45	82
2	130	74
3	477	74
4	1421	74
5	2704	72
6	5241	71
0	8048	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize117.0ms (0.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 x y))
✓	accuracy	79.5%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	accuracy	89.0%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))

Results

86.0ms

256×

valid

Compiler

Compiled 97 to 20 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 16.0ms (57.3% of total)

ival-sub: 6.0ms (21.5% of total)

ival-mult: 4.0ms (14.3% of total)

ival-add: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

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

series7.0ms (0%)

Counts

13 → 276

Calls

Call 1

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

Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<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 (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt 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 (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 2 (* x y))
0.0ms	y	@	inf	(/ 2 (* x y))
0.0ms	x	@	0	(/ 2 (* x y))
0.0ms	y	@	-inf	(/ 1 (/ 1 y))
0.0ms	x	@	0	(/ -2 x)

rewrite503.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4104×	`/-lowering-/.f32`
4104×	`/-lowering-/.f64`
4102×	`-lowering-.f32`
4102×	`-lowering-.f64`
1964×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	141	65
2	1201	57
0	8618	57

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 572

Calls

Call 1

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

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

simplify975.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4526×	`-lowering-.f32`
4526×	`-lowering-.f64`
2124×	`/-lowering-/.f32`
2124×	`/-lowering-/.f64`
1834×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	1611
1	878	1517
2	2534	1471
0	8369	1471

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* -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)))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(* -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)))))
y
y
y
y
y
y
y
y
y
y
y
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)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 #s(literal -1/4 binary64) y)))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 x (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/4 binary64) y)))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 y y)))) (*.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y)))) y)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
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(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/ 2 (* x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/ 2 (* x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/ 2 (* x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/ 2 (* x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/ 2 (* x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/ 2 (* x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval168.0ms (0.5%)

Compiler: Compiled 12959 to 1860 computations (85.6% saved)

prune109.0ms (0.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	844	4	848
Fresh	2	0	2
Picked	0	5	5
Done	1	3	4
Total	847	12	859

Accuracy

100.0%

Counts

859 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
▶	14.8%	(/.f64 (neg.f64 (.f64 y #s(literal 2 binary64))) (.f64 x y))
✓	14.8%	(/.f64 #s(literal -2 binary64) x)
▶	57.3%	(-.f64 x (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) y))
▶	65.6%	(-.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	65.6%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	65.6%	(-.f64 x (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y))
✓	77.4%	(-.f64 x y)
✓	62.9%	x

Compiler

Compiled 111 to 76 computations (31.5% saved)

simplify167.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x y))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	64	(neg.f64 (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	320	(/.f64 (neg.f64 (.f64 y #s(literal 2 binary64))) (.f64 x y))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	cost-diff	256	(/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) y)
✓	cost-diff	256	(-.f64 x (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x y))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	384	(-.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))

Rules

1656×	`fma-lowering-fma.f32`
1656×	`fma-lowering-fma.f64`
1640×	`fnmadd-define`
1594×	`sum3-define`
1416×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	102
1	50	98
2	149	74
3	494	74
4	1385	74
5	3240	74
6	5637	74
0	8254	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ (/ 2 (* x y)) (/ 1 y)))
x
(/ (/ 2 (* x y)) (/ 1 y))
(/ 2 (* x y))
2
(* x y)
y
(/ 1 y)
1
(- x (/ (/ (* y 2) x) y))
x
(/ (/ (* y 2) x) y)
(/ (* y 2) x)
(* y 2)
y
2
(/ (neg (* y 2)) (* x y))
(neg (* y 2))
(* y 2)
y
2
(* x y)
x
(/ (/ 2 (* x y)) (/ -1 y))
(/ 2 (* x y))
2
(* x y)
x
y
(/ -1 y)
-1

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

localize114.0ms (0.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 x y))
✓	accuracy	79.4%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 (*.f64 y #s(literal 2 binary64)))
✓	accuracy	79.6%	(/.f64 (neg.f64 (.f64 y #s(literal 2 binary64))) (.f64 x y))
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) y))
✓	accuracy	75.3%	(/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 x y))
✓	accuracy	79.4%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))

Results

75.0ms

256×

valid

Compiler

Compiled 110 to 19 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 28.0ms (78% of total)

ival-mult: 4.0ms (11.1% of total)

ival-sub: 2.0ms (5.6% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

series7.0ms (0%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* y 2) x)
0.0ms	y	@	-inf	(/ (* y 2) x)
0.0ms	x	@	-inf	(/ (* y 2) x)
0.0ms	x	@	0	(/ (* y 2) x)
0.0ms	y	@	0	(/ (neg (* y 2)) (* x y))

rewrite261.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4182×	`-lowering-.f32`
4182×	`-lowering-.f64`
3818×	`/-lowering-/.f32`
3818×	`/-lowering-/.f64`
1550×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	72
1	119	68
2	1117	46
0	8598	46

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 571

Calls

Call 1

Inputs
(- x (/ (/ 2 (* x y)) (/ 1 y)))
(/ (/ 2 (* x y)) (/ 1 y))
(/ 2 (* x y))
(* x y)
(- x (/ (/ (* y 2) x) y))
(/ (/ (* y 2) x) y)
(/ (* y 2) x)
(* y 2)
(/ (neg (* y 2)) (* x y))
(neg (* y 2))
(/ (/ 2 (* x y)) (/ -1 y))
(/ -1 y)

Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) x)
(fma.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) x)
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x y)) x)
(fma.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 x #s(literal 2 binary64))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)) x)
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) y x)
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 y #s(literal -2 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 (/.f64 y x) (/.f64 #s(literal -2 binary64) y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal 2 binary64) y) y) x)
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(.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) y)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y #s(literal -2 binary64)) y)))
(/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) y))
(/.f64 (.f64 y #s(literal -2 binary64)) (.f64 x y))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (/.f64 #s(literal 2 binary64) x)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y))))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -8 binary64) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) y) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 x y) (*.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) x))) (.f64 (.f64 x y) y)) (.f64 (*.f64 x y) (/.f64 y (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (.f64 x y)))) (*.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x y)) (/.f64 (*.f64 x y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x y) (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 (.f64 x y) (.f64 #s(literal 2 binary64) y))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 x y) (/.f64 y (/.f64 x #s(literal 2 binary64))))) (.f64 (*.f64 x y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 (.f64 x y) (.f64 y #s(literal -2 binary64)))) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 x y) (/.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) (.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x y) #s(literal -2 binary64))) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x y)))) (.f64 (.f64 x y) #s(literal -2 binary64))) (.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (.f64 x y) (/.f64 (.f64 y #s(literal -2 binary64)) x))) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) x))) (*.f64 x y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))) (.f64 (.f64 x y) (.f64 (.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))) (.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (.f64 x y) (/.f64 (.f64 #s(literal 2 binary64) y) y))) (.f64 (.f64 x y) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (.f64 x y) (.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x y) (/.f64 (.f64 y #s(literal -2 binary64)) y))) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) y)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) x))))
(.f64 y (/.f64 #s(literal -2 binary64) (.f64 x y)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y #s(literal -2 binary64)) x))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) y)))
(.f64 (.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 x #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (.f64 x y)))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) y)
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (*.f64 y #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 y x) (/.f64 #s(literal -2 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 #s(literal 2 binary64) y) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 y #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))

simplify190.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2176×	`fnmadd-define`
1594×	`fma-define`
1560×	`fma-lowering-fma.f32`
1560×	`fma-lowering-fma.f64`
1460×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	1012
1	66	970
2	137	928
3	286	928
4	934	928
5	3083	928
6	6941	928
0	8143	928

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval116.0ms (0.4%)

Compiler: Compiled 11266 to 1034 computations (90.8% saved)

prune60.0ms (0.2%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	973	1	974
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	974	12	986

Accuracy

100.0%

Counts

986 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	14.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
	14.8%	(/.f64 (.f64 y #s(literal -2 binary64)) (.f64 x y))
✓	14.8%	(/.f64 #s(literal -2 binary64) x)
✓	57.3%	(-.f64 x (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) y))
✓	65.6%	(-.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	65.6%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	65.6%	(-.f64 x (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) y))
✓	77.4%	(-.f64 x y)
✓	62.9%	x

Compiler

Compiled 274 to 134 computations (51.1% saved)

regimes20.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0%)

Counts

13 → 3

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
87.2%	3	`x`
94.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)

Outputs
(/.f64 #s(literal -2 binary64) x)
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.7%	3	`x`
86.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(-.f64 x y)

Outputs
x
(-.f64 x y)
x

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.7%	3	`x`
82.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
62.9%	1	`y`
62.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	4.844009114020033e+125	6.021327222668996e+125
12.0ms	-4.6489185820132885e+175	-6.153124808949471e+173

Results

10.0ms

160×

valid

Compiler

Compiled 158 to 113 computations (28.5% saved)

Precisions

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

ival-div: 2.0ms (35.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-mult: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.956085151321129e+220	2.4747856155995368e+224
12.0ms	-4.6489185820132885e+175	-6.153124808949471e+173

Results

16.0ms

240×

valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions

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

ival-div: 4.0ms (42.5% of total)

ival-mult: 2.0ms (21.2% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.00291375946603e-28	6.217328759813325e-26
13.0ms	-3.811351542056832e-17	-2.8694158305509233e-21

Results

16.0ms

240×

valid

Compiler

Compiled 168 to 118 computations (29.8% saved)

Precisions

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

ival-div: 3.0ms (36.8% of total)

ival-mult: 2.0ms (24.6% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Rules

82×	`unsub-neg_binary64`
72×	`neg-mul-1_binary64`
38×	`+-commutative_binary64`
34×	`sub-neg_binary64`
32×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	68
1	60	68
2	83	68
3	106	68
4	134	68
5	161	68
6	214	68
7	302	68
8	306	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(if (<=.f64 y #s(literal -620000000000000003212457350491329463065743578269686069966198026144487760686059902922307079391982416738548459206260587836559484403366779647513569787150099426184693122343108608 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 490000000000000015792557047440376505571254094300220259320509821936759261831456345357032274511009783925107292441510158733934592 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -41999999999999998063400283815523244035294533577501533204256427584172557253270492425157444471960161293635212257371526568956012904217562912085670880379732186653797043256556519424 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 489999999999999990729563850938182413737059656249409349899382213838493799309000134271539026292812209378697418322142440650564486193771250468700834160145639285351861937630438745390760503786254079770298779534883871556538204160 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(if (<=.f64 x #s(literal -1541463129877527/40564819207303340847894502572032 binary64)) x (if (<=.f64 x #s(literal 5226737155905615/87112285931760246646623899502532662132736 binary64)) (-.f64 x y) x))
x

Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(if (<=.f64 y #s(literal -620000000000000003212457350491329463065743578269686069966198026144487760686059902922307079391982416738548459206260587836559484403366779647513569787150099426184693122343108608 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 490000000000000015792557047440376505571254094300220259320509821936759261831456345357032274511009783925107292441510158733934592 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -41999999999999998063400283815523244035294533577501533204256427584172557253270492425157444471960161293635212257371526568956012904217562912085670880379732186653797043256556519424 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 489999999999999990729563850938182413737059656249409349899382213838493799309000134271539026292812209378697418322142440650564486193771250468700834160145639285351861937630438745390760503786254079770298779534883871556538204160 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(if (<=.f64 x #s(literal -1541463129877527/40564819207303340847894502572032 binary64)) x (if (<=.f64 x #s(literal 5226737155905615/87112285931760246646623899502532662132736 binary64)) (-.f64 x y) x))
x

soundness1.0s (3.1%)

Rules

5084×	`-lowering-.f32`
5084×	`-lowering-.f64`
4140×	`-lowering-.f32`
4140×	`-lowering-.f64`
3952×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	302	2428
1	1096	2222
2	3068	2145
0	8527	2145
0	231	1040
1	826	951
2	2367	905
3	7877	905
0	8140	905
0	9	35
1	58	32
2	521	32
3	7518	32
0	8493	32

Stop Event

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

Compiler

Compiled 129 to 73 computations (43.4% saved)

preprocess124.0ms (0.4%)

Compiler: Compiled 178 to 92 computations (48.3% saved)

analyze67.0ms (0.2%)

sample917.0ms (2.8%)

preprocess155.0ms (0.5%)

explain90.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.2%)

localize32.0ms (0.1%)

series10.0ms (0%)

rewrite298.0ms (0.9%)

simplify244.0ms (0.7%)

eval40.0ms (0.1%)

prune37.0ms (0.1%)

simplify215.0ms (0.6%)

localize149.0ms (0.4%)

series10.0ms (0%)

rewrite367.0ms (1.1%)

simplify26.0s (78.4%)

eval160.0ms (0.5%)

prune74.0ms (0.2%)

simplify168.0ms (0.5%)

localize117.0ms (0.4%)

series7.0ms (0%)

rewrite503.0ms (1.5%)

simplify975.0ms (2.9%)

eval168.0ms (0.5%)

prune109.0ms (0.3%)

simplify167.0ms (0.5%)

localize114.0ms (0.3%)

series7.0ms (0%)

rewrite261.0ms (0.8%)

simplify190.0ms (0.6%)

eval116.0ms (0.4%)

prune60.0ms (0.2%)

regimes20.0ms (0.1%)

regimes11.0ms (0%)

regimes10.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch18.0ms (0.1%)

bsearch27.0ms (0.1%)

bsearch30.0ms (0.1%)

simplify16.0ms (0%)

soundness1.0s (3.1%)

preprocess124.0ms (0.4%)

end0.0ms (0%)

Profiling