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

analyze37.0ms (0.1%)

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: 13.0ms

ival-div: 5.0ms (39.8% of total)

ival-mult: 3.0ms (23.9% of total)

ival-sub: 2.0ms (15.9% of total)

ival-add: 2.0ms (15.9% of total)

const: 1.0ms (8% of total)

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

sample968.0ms (3.1%)

Results

706.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-div: 143.0ms (41.3% of total)

ival-mult: 98.0ms (28.3% of total)

ival-add: 46.0ms (13.3% of total)

ival-sub: 43.0ms (12.4% of total)

const: 14.0ms (4% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess134.0ms (0.4%)

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)))

explain115.0ms (0.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
27	-	-	`(/.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

75.0ms

512×

valid

Compiler

Compiled 97 to 29 computations (70.1% saved)

Precisions

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

ival-div: 7.0ms (34.4% of total)

ival-mult: 5.0ms (24.6% of total)

ival-sub: 4.0ms (19.7% of total)

ival-add: 3.0ms (14.7% of total)

const: 1.0ms (4.9% 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
▶	100.0%	(-.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)

localize49.0ms (0.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.1%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Results

38.0ms

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 (43.3% of total)

ival-mult: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

series8.0ms (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
1.0ms	y	@	inf	(- x (/ y (+ 1 (/ (* x y) 2))))
1.0ms	x	@	inf	(- x (/ y (+ 1 (/ (* x y) 2))))
0.0ms	y	@	-inf	(- x (/ y (+ 1 (/ (* x y) 2))))
0.0ms	x	@	0	(- x (/ y (+ 1 (/ (* x y) 2))))
0.0ms	x	@	-inf	(/ y (+ 1 (/ (* x y) 2)))

rewrite286.0ms (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)

simplify308.0ms (1%)

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)

eval52.0ms (0.2%)

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

prune64.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	340	4	344
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	340	5	345

Accuracy

100.0%

Counts

345 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
▶	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
▶	59.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	79.4%	(-.f64 x y)
▶	62.7%	x

Compiler

Compiled 41 to 28 computations (31.7% saved)

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

898×	`fnmadd-define`
708×	`fmsub-define`
684×	`fnmsub-define`
630×	`fmm-def`
628×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	23	52
2	45	52
3	80	52
4	143	52
5	318	52
6	706	52
7	1306	52
8	2269	52
9	2955	52
10	3261	52
11	3292	52
12	3311	52
13	3319	52
0	3319	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize74.0ms (0.2%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	accuracy	100.0%	(+.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	90.1%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
✓	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)

Results

52.0ms

256×

valid

Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions

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

ival-div: 7.0ms (52.7% of total)

ival-sub: 4.0ms (30.1% of total)

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

const: 0.0ms (0% of total)

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

series5.0ms (0%)

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite295.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
3700×	`-lowering-.f32`
3700×	`-lowering-.f64`
1934×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	92	40
2	881	40
0	8541	40

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 235

Calls

Call 1

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

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

simplify275.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4514×	`-lowering-.f32`
4514×	`-lowering-.f64`
2108×	`/-lowering-/.f32`
2108×	`/-lowering-/.f64`
1834×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	1174
1	876	1070
2	2527	1024
0	8359	1024

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval45.0ms (0.1%)

Compiler: Compiled 8380 to 961 computations (88.5% saved)

prune36.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	378	1	379
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	378	6	384

Accuracy

100.0%

Counts

384 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.7%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	59.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	79.4%	(-.f64 x y)
✓	62.7%	x

Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -2 x)
-2
x

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

localize42.0ms (0.1%)

Localize:

Found 1 expressions of interest:

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

Results

13.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (71.5% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ -2 x)>

Outputs
#<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)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ -2 x)
0.0ms	x	@	-inf	(/ -2 x)
0.0ms	x	@	inf	(/ -2 x)

rewrite248.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`-lowering-.f32`
1942×	`-lowering-.f64`
1572×	`+-lowering-+.f64`
1572×	`+-lowering-+.f32`
1342×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	12	3
2	45	3
3	167	3
4	680	3
5	5593	3
0	8563	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 179

Calls

Call 1

Inputs
(/ -2 x)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
0	3	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)

Outputs
(/ -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)

eval21.0ms (0.1%)

Compiler: Compiled 2010 to 332 computations (83.5% saved)

prune24.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	190	7	197

Accuracy

100.0%

Counts

197 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	12.7%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	59.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	79.4%	(-.f64 x y)
✓	62.7%	x

Compiler

Compiled 57 to 40 computations (29.8% saved)

simplify362.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6002×	`-lowering-.f32`
6002×	`-lowering-.f64`
3596×	`cube-prod`
1992×	`/-lowering-/.f32`
1992×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	17	17
2	31	14
3	62	14
4	192	14
5	1862	14
6	2982	14
7	3435	14
8	4009	14
9	4851	14
10	5170	14
11	5351	14
12	5502	14
13	5644	14
14	5795	14
15	6685	14
0	8032	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize71.0ms (0.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	52.8%	(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

Results

50.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-mult: 28.0ms (83.4% of total)

ival-div: 5.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite198.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`-lowering-.f32`
912×	`-lowering-.f64`
880×	`frac-times`
786×	`/-lowering-/.f32`
786×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	41	11
2	233	11
0	2188	11

Stop Event

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

Counts

4 → 271

Calls

Call 1

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

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`
2×	`1-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	156
1	12	132
2	14	132
0	14	132

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval642.0ms (2.1%)

Compiler: Compiled 3753 to 621 computations (83.5% saved)

prune14.3s (45.7%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	319	7	326

Accuracy

100.0%

Counts

326 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.6%	(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	12.7%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	59.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	79.4%	(-.f64 x y)
✓	62.7%	x

Compiler

Compiled 102 to 63 computations (38.2% saved)

regimes9.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	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)

regimes8.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

5.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
90.3%	3	`x`
91.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.3s (36%)

Counts

3 → 3

Calls

Call 1

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

Outputs
x
(-.f64 x y)
x

Calls

2 calls:

11.3s	x
2.0ms	y

Results

Accuracy	Segments	Branch
88.4%	3	`x`
84.9%	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	x
1.0ms	y

Results

Accuracy	Segments	Branch
62.7%	1	`y`
62.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.2318887815597327e+105	2.727249320535297e+106
13.0ms	-1.6968925298534985e+168	-3.327678074153145e+165

Results

30.0ms

240×

valid

Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions

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

ival-div: 3.0ms (35.6% of total)

ival-mult: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

bsearch317.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.611550962488602e-19	8.277296759205973e-17
280.0ms	-7.660864875993727e+20	-808619.1949949312

Results

274.0ms

272×

valid

Compiler

Compiled 188 to 132 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 258.0ms (97.4% of total)

ival-div: 4.0ms (1.5% of total)

ival-sub: 1.0ms (0.4% of total)

ival-add: 1.0ms (0.4% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (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	29	53
1	49	53
2	72	53
3	95	53
4	123	53
5	150	53
6	203	53
7	291	53
8	295	53

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 -3599999999999999801833146821407639238699935080445903124045127122033112759814727822225325073482074979391187522934945394552759317284634192368256580479255218273587822592 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 2050000000000000115327538881548278752048331595781511805365424983534616321282107773788261428279245782646784 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -820000 binary64)) x (if (<=.f64 x #s(literal 6490371073168535/81129638414606681695789005144064 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 -3599999999999999801833146821407639238699935080445903124045127122033112759814727822225325073482074979391187522934945394552759317284634192368256580479255218273587822592 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 2050000000000000115327538881548278752048331595781511805365424983534616321282107773788261428279245782646784 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -820000 binary64)) x (if (<=.f64 x #s(literal 6490371073168535/81129638414606681695789005144064 binary64)) (-.f64 x y) x))
x

soundness706.0ms (2.3%)

Rules

4140×	`-lowering-.f32`
4140×	`-lowering-.f64`
3952×	`-lowering-.f32`
3952×	`-lowering-.f64`
2970×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 95 to 53 computations (44.2% saved)

preprocess77.0ms (0.2%)

Compiler: Compiled 144 to 76 computations (47.2% saved)

analyze37.0ms (0.1%)

sample968.0ms (3.1%)

preprocess134.0ms (0.4%)

explain115.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.2%)

localize49.0ms (0.2%)

series8.0ms (0%)

rewrite286.0ms (0.9%)

simplify308.0ms (1%)

eval52.0ms (0.2%)

prune64.0ms (0.2%)

simplify85.0ms (0.3%)

localize74.0ms (0.2%)

series5.0ms (0%)

rewrite295.0ms (0.9%)

simplify275.0ms (0.9%)

eval45.0ms (0.1%)

prune36.0ms (0.1%)

simplify4.0ms (0%)

localize42.0ms (0.1%)

series0.0ms (0%)

rewrite248.0ms (0.8%)

simplify6.0ms (0%)

eval21.0ms (0.1%)

prune24.0ms (0.1%)

simplify362.0ms (1.2%)

localize71.0ms (0.2%)

series2.0ms (0%)

rewrite198.0ms (0.6%)

simplify8.0ms (0%)

eval642.0ms (2.1%)

prune14.3s (45.7%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes11.3s (36%)

regimes3.0ms (0%)

bsearch41.0ms (0.1%)

bsearch317.0ms (1%)

simplify15.0ms (0%)

soundness706.0ms (2.3%)

preprocess77.0ms (0.2%)

end0.0ms (0%)

Profiling