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

analyze36.0ms (0.8%)

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: 12.0ms

ival-div: 4.0ms (32.8% of total)

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

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

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

const: 1.0ms (8.2% of total)

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

sample1.1s (23.8%)

Results

773.0ms	8254×	0	valid
1.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-div: 179.0ms (43% of total)

ival-mult: 124.0ms (29.8% of total)

ival-sub: 49.0ms (11.8% of total)

ival-add: 45.0ms (10.8% of total)

const: 16.0ms (3.8% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess133.0ms (3%)

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)))

explain148.0ms (3.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(/.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

108.0ms

512×

valid

Compiler

Compiled 97 to 29 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 56.0ms (82% of total)

ival-mult: 5.0ms (7.3% of total)

ival-add: 4.0ms (5.9% of total)

ival-sub: 3.0ms (4.4% of total)

const: 1.0ms (1.5% 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)

simplify63.0ms (1.4%)

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)

localize40.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	89.3%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Results

30.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (39.5% of total)

ival-mult: 3.0ms (29.6% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

const: 1.0ms (9.9% of total)

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

series8.0ms (0.2%)

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))))
0.0ms	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)))

rewrite287.0ms (6.4%)

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)

simplify256.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval42.0ms (0.9%)

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

prune59.0ms (1.3%)

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)))))
▶	57.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	77.8%	(-.f64 x y)
▶	54.8%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
▶	59.4%	x

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify190.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

1822×	`fma-define`
1548×	`fma-lowering-fma.f32`
1548×	`fma-lowering-fma.f64`
1544×	`fnmsub-define`
1508×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	29	42
2	57	40
3	158	36
4	366	36
5	722	36
6	1742	36
7	3238	36
8	7158	36
0	8139	36

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (1.3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	73.8%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))

Results

44.0ms

256×

valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (32.8% of total)

ival-mult: 5.0ms (32.8% of total)

ival-sub: 3.0ms (19.7% of total)

ival-add: 1.0ms (6.6% of total)

const: 1.0ms (6.6% of total)

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

series5.0ms (0.1%)

Counts

7 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite255.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
3176×	`/-lowering-/.f32`
3176×	`/-lowering-/.f64`
1474×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	78	34
2	685	28
0	8864	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 341

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal -2 binary64) x) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(+.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 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(-.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))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(fma.f64 x (/.f64 (/.f64 #s(literal -2 binary64) x) x) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) 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)
(fma.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(neg.f64 (/.f64 (+.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 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x))))
(neg.f64 (/.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))) 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 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))
(/.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 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(/.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))) x)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.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 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (/.f64 x (/.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.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)))) (.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)))))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.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))))) (+.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)))))
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(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))
(/.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 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(/.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 x x))) x)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.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 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (/.f64 x (/.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.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)))) (.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)))))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.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))))) (+.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)))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)) #s(literal -1 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (+.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) x)
(*.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))) x))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))) x))
(.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))))
(.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal 2 binary64)))))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))))
(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))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.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) x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) 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)))

simplify168.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1784×	`-lowering-.f32`
1784×	`-lowering-.f64`
1644×	`fnmadd-define`
1240×	`fmsub-define`
1174×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	419
1	101	349
2	271	331
3	797	331
4	2934	331
5	7943	331
0	8029	331

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval49.0ms (1.1%)

Compiler: Compiled 8694 to 775 computations (91.1% saved)

prune35.0ms (0.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	435	2	437
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	435	7	442

Accuracy

100.0%

Counts

442 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.7%	(/.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)))))
✓	57.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.8%	(-.f64 x y)
▶	9.4%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))
✓	54.8%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
✓	59.4%	x

Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify420.0ms (9.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6140×	`-lowering-.f32`
6140×	`-lowering-.f64`
3036×	`/-lowering-/.f32`
3036×	`/-lowering-/.f64`
2598×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	11	22
2	21	16
3	27	16
4	53	16
5	98	16
6	277	16
7	833	16
8	1656	16
9	1920	16
10	2310	16
11	2928	16
12	3854	16
13	4287	16
14	4532	16
15	4721	16
16	4888	16
17	5100	16
18	6413	16
19	7086	16
20	7431	16
21	7552	16
22	7596	16
23	7596	16
24	7598	16
25	7726	16
26	7923	16
0	8102	16

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize35.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	53.0%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))

Results

27.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-div: 5.0ms (55.8% of total)

ival-mult: 4.0ms (44.6% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

12 calls:

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

rewrite73.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`-lowering-.f32`
268×	`-lowering-.f64`
242×	`/-lowering-/.f32`
242×	`/-lowering-/.f64`
102×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	27	18
2	128	12
0	598	12

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

4 → 140

Calls

Call 1

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	7	144
2	9	144
0	9	144

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)
(/ -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)
(/ -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)
(/ -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)

eval27.0ms (0.6%)

Compiler: Compiled 1388 to 212 computations (84.7% saved)

prune13.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	187	8	195

Accuracy

100.0%

Counts

195 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	11.7%	(/.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)))))
✓	57.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.8%	(-.f64 x y)
✓	9.4%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))
✓	54.8%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
▶	9.4%	(.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x)))
✓	59.4%	x

Compiler

Compiled 64 to 45 computations (29.7% saved)

simplify261.0ms (5.8%)

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 #s(literal 2 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	256	(.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x)))

Rules

2308×	`-lowering-.f32`
2308×	`-lowering-.f64`
1860×	`sum3-define`
1536×	`neg-lowering-neg.f64`
1536×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	15	21
2	41	21
3	79	16
4	126	16
5	207	16
6	417	16
7	1326	16
8	2763	16
9	7674	16
0	8426	16

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize35.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	53.0%	(.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x)))

Results

27.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-div: 4.0ms (47.5% of total)

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

const: 1.0ms (11.9% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (* x (* (/ 2 x) (/ -1 x)))>
#<alt (* (/ 2 x) (/ -1 x))>
#<alt (/ 2 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 (/ 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 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	(/ -1 x)
0.0ms	x	@	inf	(/ -1 x)
0.0ms	x	@	0	(* x (* (/ 2 x) (/ -1 x)))
0.0ms	x	@	-inf	(* x (* (/ 2 x) (/ -1 x)))
0.0ms	x	@	inf	(* x (* (/ 2 x) (/ -1 x)))

rewrite74.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`-lowering-.f32`
414×	`-lowering-.f64`
318×	`frac-times`
312×	`/-lowering-/.f32`
312×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	32	16
2	190	16
0	992	16

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

4 → 132

Calls

Call 1

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	168
1	10	156
2	12	156
0	12	156

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))
(/ 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 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))
(/ 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 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)

eval45.0ms (1%)

Compiler: Compiled 1642 to 303 computations (81.5% saved)

prune33.0ms (0.7%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	180	8	188

Accuracy

100.0%

Counts

188 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	11.7%	(/.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)))))
✓	57.2%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.8%	(-.f64 x y)
✓	9.4%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))
✓	54.8%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
✓	9.4%	(.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x)))
✓	59.4%	x

Compiler

Compiled 114 to 68 computations (40.4% saved)

regimes10.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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)

regimes12.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
90.8%	3	`x`
92.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
89.0%	3	`x`
84.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
59.4%	1	`y`
59.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch46.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.214321875279276e+81	3.2211236405262756e+83
32.0ms	-3.7553308204725388e+180	-2.6483368951202192e+178

Results

15.0ms

224×

valid

Compiler

Compiled 214 to 153 computations (28.5% saved)

Precisions

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

ival-div: 3.0ms (37.8% of total)

ival-mult: 2.0ms (25.2% of total)

ival-sub: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2231514335324226e-15	0.0011385053005921928
8.0ms	-5.2421703693298853e-39	-1.748149950246068e-39

Results

22.0ms

240×

valid

Compiler

Compiled 168 to 118 computations (29.8% saved)

Precisions

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

ival-div: 3.0ms (34.5% of total)

ival-mult: 2.0ms (23% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

54×	`unsub-neg_binary64`
50×	`neg-mul-1_binary64`
26×	`+-commutative_binary64`
24×	`sub-neg_binary64`
22×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	42
1	41	42
2	58	42
3	74	42
4	92	42
5	109	42
6	145	42
7	204	42
8	206	42

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)))))
(if (<=.f64 y #s(literal -29000000000000000440966124287315095992344778603210555241914489613162387376604447278239755448417698209797536780675297599724083112827528178470039810767085910726225387066710929965056 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -3984488406251311/766247770432944429179173513575154591809369561091801088 binary64)) x (if (<=.f64 x #s(literal 4842270319348757/4611686018427387904 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)))))
(if (<=.f64 y #s(literal -29000000000000000440966124287315095992344778603210555241914489613162387376604447278239755448417698209797536780675297599724083112827528178470039810767085910726225387066710929965056 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -3984488406251311/766247770432944429179173513575154591809369561091801088 binary64)) x (if (<=.f64 x #s(literal 4842270319348757/4611686018427387904 binary64)) (-.f64 x y) x))
x

soundness392.0ms (8.7%)

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 71 to 39 computations (45.1% saved)

preprocess37.0ms (0.8%)

Compiler: Compiled 122 to 66 computations (45.9% saved)

analyze36.0ms (0.8%)

sample1.1s (23.8%)

preprocess133.0ms (3%)

explain148.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (1.4%)

localize40.0ms (0.9%)

series8.0ms (0.2%)

rewrite287.0ms (6.4%)

simplify256.0ms (5.7%)

eval42.0ms (0.9%)

prune59.0ms (1.3%)

simplify190.0ms (4.2%)

localize57.0ms (1.3%)

series5.0ms (0.1%)

rewrite255.0ms (5.7%)

simplify168.0ms (3.8%)

eval49.0ms (1.1%)

prune35.0ms (0.8%)

simplify420.0ms (9.4%)

localize35.0ms (0.8%)

series1.0ms (0%)

rewrite73.0ms (1.6%)

simplify7.0ms (0.2%)

eval27.0ms (0.6%)

prune13.0ms (0.3%)

simplify261.0ms (5.8%)

localize35.0ms (0.8%)

series1.0ms (0%)

rewrite74.0ms (1.6%)

simplify7.0ms (0.2%)

eval45.0ms (1%)

prune33.0ms (0.7%)

regimes10.0ms (0.2%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch46.0ms (1%)

bsearch41.0ms (0.9%)

simplify13.0ms (0.3%)

soundness392.0ms (8.7%)

preprocess37.0ms (0.8%)

end0.0ms (0%)

Profiling