Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample744.0ms (14.8%)

Results

541.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 71.0ms (39.2% of total)

ival-add: 57.0ms (31.5% of total)

ival-sub: 43.0ms (23.7% of total)

const: 7.0ms (3.9% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess133.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

2520×	`sum5-define`
2080×	`fnmadd-define`
2012×	`sum4-define`
1600×	`sum3-define`
1592×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	60	42
2	186	38
3	642	36
4	3010	36
5	6981	36
0	5	7
1	14	7
2	38	6
3	75	6
4	163	6
5	478	6
6	2077	6
7	2741	6
8	3399	6
9	3545	6
10	3549	6
0	3549	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

Inputs
(- (+ x y) (* x y))
(- (+ (neg x) y) (* (neg x) y))
(- (+ x (neg y)) (* x (neg y)))
(neg (- (+ (neg x) y) (* (neg x) y)))
(neg (- (+ x (neg y)) (* x (neg y))))
(- (+ y x) (* y x))

Outputs
(- (+ x y) (* x y))
(+ x (fnmadd x y y))
(- (+ (neg x) y) (* (neg x) y))
(+ y (fmsub x y x))
(- (+ x (neg y)) (* x (neg y)))
(+ x (fmsub x y y))
(neg (- (+ (neg x) y) (* (neg x) y)))
(- (fnmadd x y x) y)
(neg (- (+ x (neg y)) (* x (neg y))))
(- (fnmadd x y y) x)
(- (+ y x) (* y x))
(+ x (fnmadd x y y))

Symmetry

(sort x y)

explain112.0ms (2.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`(-.f64 (+.f64 x y) (*.f64 x y))`
-	-	`y`

Results

88.0ms

512×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 4.0ms (36.9% of total)

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

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

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

2004×	`sum5-define`
1100×	`sum4-define`
986×	`sum3-define`
640×	`fnmadd-define`
544×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	17
2	24	17
3	54	16
4	128	16
5	260	16
6	454	16
7	855	16
8	2815	16
9	3626	16
10	3875	16
11	3891	16
0	3891	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (1%)

Localize:

Found 3 expressions of interest:

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

Results

37.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-sub: 2.0ms (36.7% of total)

ival-mult: 2.0ms (36.7% of total)

ival-add: 1.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite321.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3340×	`-lowering-.f32`
3340×	`-lowering-.f64`
1430×	`fma-lowering-fma.f32`
1430×	`fma-lowering-fma.f64`
1424×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	35	14
2	294	14
3	3910	13
0	9375	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 191

Calls

Call 1

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

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

simplify181.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3120×	`fnmadd-define`
1816×	`fmsub-define`
1756×	`fnmsub-define`
1752×	`fma-define`
1638×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	314
1	142	253
2	433	251
3	1393	251
4	5264	251
0	8077	251

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval51.0ms (1%)

Compiler: Compiled 6629 to 681 computations (89.7% saved)

prune47.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	246	5	251
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	6	252

Accuracy

100.0%

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
▶	76.7%	(+.f64 x y)
▶	63.8%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	61.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	41.4%	y
▶	38.0%	x

Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

992×	`sum5-define`
896×	`sum3-define`
504×	`fma-define`
482×	`fnmadd-define`
376×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	17	29
2	36	29
3	70	27
4	164	27
5	265	27
6	413	27
7	640	27
8	1965	27
9	2285	27
10	2465	27
11	2504	27
12	2510	27
0	2510	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize147.0ms (2.9%)

Localize:

Found 5 expressions of interest:

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

Results

46.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

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

ival-mult: 7.0ms (59.7% of total)

ival-sub: 3.0ms (25.6% of total)

ival-add: 2.0ms (17% of total)

const: 0.0ms (0% of total)

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

series82.0ms (1.6%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
78.0ms	y	@	0	(* y (- 1 x))
1.0ms	y	@	inf	(* x (- 1 y))
0.0ms	x	@	0	(* x (- 1 y))
0.0ms	x	@	inf	(* x (- 1 y))
0.0ms	x	@	-inf	(* x (- 1 y))

rewrite488.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2560×	`-lowering-.f32`
2560×	`-lowering-.f64`
1822×	`/-lowering-/.f32`
1822×	`/-lowering-/.f64`
1558×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	48	19
2	379	19
3	3680	17
0	9053	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 303

Calls

Call 1

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

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

simplify160.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2072×	`fma-lowering-fma.f32`
2072×	`fma-lowering-fma.f64`
1750×	`fmm-def`
1696×	`fnmadd-define`
1672×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	352
1	161	310
2	413	310
3	1131	310
4	3322	310
5	7442	310
0	8074	310

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval46.0ms (0.9%)

Compiler: Compiled 7333 to 871 computations (88.1% saved)

prune38.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	397	2	399
Fresh	0	0	0
Picked	1	4	5
Done	1	0	1
Total	399	6	405

Accuracy

100.0%

Counts

405 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(-.f64 x (*.f64 x y))
✓	76.7%	(+.f64 x y)
✓	63.8%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	2.1%	(neg.f64 (+.f64 x y))
✓	41.4%	y
✓	38.0%	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 x (*.f64 x y))
✓	cost-diff	-64	(neg.f64 (+.f64 x y))
✓	cost-diff	0	(+.f64 x y)

Rules

278×	`fnmadd-define`
260×	`sum3-define`
250×	`fmsub-define`
244×	`fma-lowering-fma.f32`
244×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	19	19
2	39	18
3	82	18
4	166	18
5	323	18
6	774	18
7	1146	18
8	1200	18
9	1204	18
0	1204	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (+ x y))
(+ x y)
x
y
(- x (* x y))
x
(* x y)
y

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

localize34.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (*.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 (+.f64 x y))

Results

24.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

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

ival-add: 2.0ms (29.7% of total)

ival-mult: 2.0ms (29.7% of total)

ival-sub: 1.0ms (14.8% of total)

ival-neg: 1.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite355.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2212×	`-lowering-.f32`
2212×	`-lowering-.f64`
1856×	`fma-lowering-fma.f32`
1856×	`fma-lowering-fma.f64`
1666×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	41	15
2	340	14
3	3959	14
0	8329	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(+ x y)
(neg (+ x y))
(- x (* x y))
(* x y)

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

simplify135.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2202×	`fnmadd-define`
1588×	`fnmsub-define`
1588×	`fmsub-define`
1336×	`sum4-define`
1304×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	330
1	124	309
2	314	309
3	899	309
4	3199	309
5	6149	309
0	8248	309

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval41.0ms (0.8%)

Compiler: Compiled 6682 to 614 computations (90.8% saved)

prune98.0ms (1.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	320	2	322
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	321	7	328

Accuracy

100.0%

Counts

328 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(-.f64 x (*.f64 x y))
✓	76.7%	(+.f64 x y)
✓	63.8%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	2.3%	(neg.f64 y)
▶	2.8%	(neg.f64 x)
✓	41.4%	y
✓	38.0%	x

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(neg.f64 x)

Rules

16×	`sum3-define`
16×	`+-lowering-+.f64`
16×	`+-lowering-+.f32`
12×	`--lowering--.f32`
12×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	10	6
2	14	6
3	17	6
4	29	6
5	36	6
6	45	6
7	51	6
0	51	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg x)
x
(neg y)
y

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

localize19.0ms (0.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(neg.f64 x)

Results

14.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

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

ival-neg: 2.0ms (75.8% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (neg x)>
#<alt (neg y)>

Outputs
#<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)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(neg y)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(neg x)
0.0ms	y	@	-inf	(neg y)
0.0ms	x	@	-inf	(neg x)

rewrite145.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`unpow-prod-down`
1072×	`-lowering-.f32`
1072×	`-lowering-.f64`
750×	`pow-lowering-pow.f64`
750×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	10	4
2	37	4
3	294	4
4	3295	2
0	9251	2

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 136

Calls

Call 1

Inputs
(neg x)
(neg y)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`sum3-define`
16×	`+-lowering-+.f64`
16×	`+-lowering-+.f32`
12×	`--lowering--.f32`
12×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	48
1	9	48
2	12	48
3	14	48
4	17	48
5	29	48
6	36	48
7	45	48
8	51	48
0	51	48

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval22.0ms (0.4%)

Compiler: Compiled 1606 to 239 computations (85.1% saved)

prune19.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	160	7	167

Accuracy

100.0%

Counts

167 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(-.f64 x (*.f64 x y))
✓	76.7%	(+.f64 x y)
✓	63.8%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	2.3%	(neg.f64 y)
✓	2.8%	(neg.f64 x)
✓	41.4%	y
✓	38.0%	x

Compiler

Compiled 77 to 37 computations (51.9% saved)

regimes14.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes42.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.8%	3	`x`
100.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.0%	3	`x`
82.8%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
y
(neg.f64 x)
(neg.f64 y)
(+.f64 x y)
(neg.f64 (+.f64 x y))

Outputs
(+.f64 x y)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
76.7%	1	`y`
76.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
x
y
(neg.f64 x)
(neg.f64 y)

Outputs
x
y

Calls

2 calls:

6.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
68.0%	2	`x`
68.1%	2	`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	y
1.0ms	x

Results

Accuracy	Segments	Branch
38.0%	1	`x`
38.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.479150510854698e-19	1.3006196055838482e-8
13.0ms	-1.888514230138014e-9	-3.3817087381316616e-19

Results

18.0ms

320×

valid

Compiler

Compiled 294 to 199 computations (32.3% saved)

Precisions

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

ival-mult: 4.0ms (47.3% of total)

ival-sub: 2.0ms (23.6% of total)

ival-add: 2.0ms (23.6% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.479150510854698e-19	1.3006196055838482e-8
15.0ms	-1.888514230138014e-9	-3.3817087381316616e-19

Results

18.0ms

320×

valid

Compiler

Compiled 294 to 209 computations (28.9% saved)

Precisions

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

ival-mult: 4.0ms (50.4% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	7.688799603718667e-8	157.78635160028125
12.0ms	-111170768.88620172	-1358.1886372466022

Results

15.0ms

288×

valid

Compiler

Compiled 266 to 189 computations (28.9% saved)

Precisions

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

ival-add: 2.0ms (33.4% of total)

ival-mult: 2.0ms (33.4% of total)

ival-sub: 1.0ms (16.7% of total)

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.259254709125298e-112	7.145249393707328e-112

Results

3.0ms

64×

valid

Compiler

Compiled 46 to 33 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (74.5% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
12×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	76
1	45	76
2	59	76
3	65	76
4	68	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -7833839311102797/4835703278458516698824704 binary64)) (-.f64 x (.f64 x y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -7833839311102797/4835703278458516698824704 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -1360 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 x y) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(+.f64 x y)
(if (<=.f64 y #s(literal 7581518694861603/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) x y)
x

Outputs
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -7833839311102797/4835703278458516698824704 binary64)) (-.f64 x (.f64 x y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -7833839311102797/4835703278458516698824704 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -1360 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 x y) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(+.f64 x y)
(if (<=.f64 y #s(literal 7581518694861603/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) x y)
x

soundness1.1s (21.7%)

Rules

3120×	`fnmadd-define`
2560×	`-lowering-.f32`
2560×	`-lowering-.f64`
1822×	`/-lowering-/.f32`
1822×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	14	7
2	38	6
3	75	6
4	163	6
5	478	6
6	2077	6
7	2741	6
8	3399	6
9	3545	6
10	3549	6
0	3549	6
0	8	19
1	48	19
2	379	19
3	3680	17
0	9053	17
0	46	314
1	142	253
2	433	251
3	1393	251
4	5264	251
0	8077	251

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 270 to 151 computations (44.1% saved)

preprocess90.0ms (1.8%)

Compiler: Compiled 218 to 86 computations (60.6% saved)

analyze0.0ms (0%)

sample744.0ms (14.8%)

preprocess133.0ms (2.7%)

explain112.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify68.0ms (1.4%)

localize50.0ms (1%)

series3.0ms (0.1%)

rewrite321.0ms (6.4%)

simplify181.0ms (3.6%)

eval51.0ms (1%)

prune47.0ms (0.9%)

simplify46.0ms (0.9%)

localize147.0ms (2.9%)

series82.0ms (1.6%)

rewrite488.0ms (9.7%)

simplify160.0ms (3.2%)

eval46.0ms (0.9%)

prune38.0ms (0.8%)

simplify30.0ms (0.6%)

localize34.0ms (0.7%)

series3.0ms (0.1%)

rewrite355.0ms (7.1%)

simplify135.0ms (2.7%)

eval41.0ms (0.8%)

prune98.0ms (1.9%)

simplify6.0ms (0.1%)

localize19.0ms (0.4%)

series0.0ms (0%)

rewrite145.0ms (2.9%)

simplify8.0ms (0.2%)

eval22.0ms (0.4%)

prune19.0ms (0.4%)

regimes14.0ms (0.3%)

regimes42.0ms (0.8%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch30.0ms (0.6%)

bsearch31.0ms (0.6%)

bsearch40.0ms (0.8%)

bsearch6.0ms (0.1%)

simplify10.0ms (0.2%)

soundness1.1s (21.7%)

preprocess90.0ms (1.8%)

end0.0ms (0%)

Profiling