Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

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 7 computations (30% 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)

sample622.0ms (12.4%)

Results

451.0ms	8254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

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

ival-mult: 86.0ms (42% of total)

ival-add: 58.0ms (28.3% of total)

ival-sub: 49.0ms (23.9% of total)

const: 10.0ms (4.9% of total)

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

Bogosity

preprocess151.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2544×	`sum4-define`
2376×	`fnmadd-define`
2168×	`sum5-define`
1810×	`sum3-define`
1618×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	50	38
2	154	37
3	812	36
4	2905	36
5	6449	36
6	7712	36
7	7952	36
8	7952	36
0	6	6
1	14	6
2	28	6
3	73	6
4	158	6
5	339	6
6	815	6
7	2441	6
8	4179	6
9	4480	6
10	4525	6
0	4525	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(- (* (+ x 1) y) x)
(+ y (fmsub x y x))
(- (* (+ (neg x) 1) y) (neg x))
(+ x (fnmadd x y y))
(- (* (+ x 1) (neg y)) x)
(- (fnmsub x y x) y)
(neg (- (* (+ (neg x) 1) y) (neg x)))
(- (fmsub x y y) x)
(neg (- (* (+ x 1) (neg y)) x))
(+ x (fma x y y))
(- (* (+ y 1) x) y)
(+ x (fmsub x y y))

explain67.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

36.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-mult: 6.0ms (45.6% of total)

ival-sub: 3.0ms (22.8% of total)

ival-add: 3.0ms (22.8% of total)

const: 1.0ms (7.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

1552×	`sum5-define`
864×	`sum4-define`
854×	`sum3-define`
832×	`fnmadd-define`
566×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	27	34
2	60	33
3	103	32
4	185	32
5	403	32
6	951	32
7	2850	32
8	3532	32
9	3596	32
0	3596	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize68.0ms (1.4%)

Localize:

Found 6 expressions of interest:

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

Results

56.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 8.0ms (57.1% of total)

ival-mult: 4.0ms (28.6% of total)

ival-sub: 1.0ms (7.1% of total)

const: 1.0ms (7.1% of total)

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

series6.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite339.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4484×	`-lowering-.f32`
4484×	`-lowering-.f64`
3218×	`/-lowering-/.f32`
3218×	`/-lowering-/.f64`
1618×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	72	28
2	634	27
0	8228	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 451

Calls

Call 1

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

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

simplify209.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2098×	`fnmsub-define`
2084×	`fmsub-define`
1942×	`fma-lowering-fma.f32`
1942×	`fma-lowering-fma.f64`
1906×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	547
1	224	522
2	664	497
3	2061	497
4	6231	497
0	8348	497

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval63.0ms (1.3%)

Compiler: Compiled 18271 to 1134 computations (93.8% saved)

prune68.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	565	6	571
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	567	6	573

Accuracy

100.0%

Counts

573 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(-.f64 (*.f64 x y) x)
▶	72.7%	(-.f64 y x)
▶	40.8%	(-.f64 #s(literal 0 binary64) x)
▶	60.4%	(+.f64 y (*.f64 x y))
▶	60.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	33.8%	y

Compiler

Compiled 68 to 44 computations (35.3% saved)

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

552×	`sum5-define`
516×	`sum3-define`
456×	`fnmadd-define`
402×	`fma-define`
256×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	23	29
2	37	29
3	76	29
4	140	29
5	372	29
6	528	29
7	612	29
8	906	29
9	1805	29
10	1849	29
0	1849	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- y x)
y
x
y
(- 0 x)
0
x
(* y (+ x 1))
y
(+ x 1)
x
1
(+ y (* x y))
y
(* x y)
x

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

localize43.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 y (*.f64 x y))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(-.f64 y x)

Results

31.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-sub: 4.0ms (37.5% of total)

ival-mult: 4.0ms (37.5% of total)

ival-add: 3.0ms (28.1% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (- y x)>
#<alt (- 0 x)>
#<alt (* y (+ x 1))>
#<alt (+ x 1)>
#<alt (+ y (* x y))>
#<alt (* x y)>

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

30 calls:

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

rewrite261.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2910×	`-lowering-.f32`
2910×	`-lowering-.f64`
2562×	`/-lowering-/.f32`
2562×	`/-lowering-/.f64`
1716×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	66	19
2	538	19
3	6716	19
0	8033	19

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 373

Calls

Call 1

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

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

simplify189.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2000×	`fmsub-define`
1988×	`sum3-define`
1968×	`fnmsub-define`
1892×	`fma-lowering-fma.f32`
1892×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	413
1	118	371
2	307	371
3	825	371
4	2654	371
5	5416	371
0	8602	371

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval56.0ms (1.1%)

Compiler: Compiled 9412 to 748 computations (92.1% saved)

prune42.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	491	2	493
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	492	7	499

Accuracy

100.0%

Counts

499 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(-.f64 (*.f64 x y) x)
✓	72.7%	(-.f64 y x)
✓	60.4%	(+.f64 y (*.f64 x y))
✓	60.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	29.3%	(*.f64 y x)
▶	40.8%	(neg.f64 x)
✓	33.8%	y

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

320×	`sum5-define`
316×	`fnmadd-define`
298×	`sum3-define`
210×	`fmsub-define`
198×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	13	17
2	22	17
3	37	17
4	68	17
5	106	17
6	233	17
7	806	17
8	1028	17
9	1150	17
10	1180	17
0	1180	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.8%)

Localize:

Found 4 expressions of interest:

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

Results

33.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 7.0ms (72% of total)

ival-sub: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite368.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2648×	`-lowering-.f32`
2648×	`-lowering-.f64`
2342×	`/-lowering-/.f32`
2342×	`/-lowering-/.f64`
1378×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	26	12
2	181	12
3	2087	11
0	10957	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 273

Calls

Call 1

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

simplify160.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1904×	`sum5-define`
1704×	`sum3-define`
1578×	`fnmadd-define`
1292×	`fmsub-define`
1232×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	281
1	68	260
2	173	260
3	381	260
4	996	260
5	3115	260
6	6559	260
0	8525	260

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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

eval68.0ms (1.4%)

Compiler: Compiled 11238 to 731 computations (93.5% saved)

prune62.0ms (1.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	356	1	357
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	356	8	364

Accuracy

100.0%

Counts

364 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.5%	(-.f64 (*.f64 x y) x)
✓	72.7%	(-.f64 y x)
✓	60.4%	(+.f64 y (*.f64 x y))
✓	60.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	29.3%	(*.f64 y x)
✓	40.8%	(neg.f64 x)
✓	33.8%	y
▶	2.7%	x

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize7.0ms (0.1%)

Results

5.0ms

256×

valid

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite26.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.5%	(-.f64 (*.f64 x y) x)
✓	72.7%	(-.f64 y x)
✓	60.4%	(+.f64 y (*.f64 x y))
✓	60.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	29.3%	(*.f64 y x)
✓	40.8%	(neg.f64 x)
✓	33.8%	y
✓	2.7%	x

Compiler

Compiled 85 to 45 computations (47.1% saved)

regimes17.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
4.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.5%	5	`x`
83.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(*.f64 y x)
y
(neg.f64 x)
y
(*.f64 y x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.5%	5	`x`
72.5%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 x)

Outputs
y
(neg.f64 x)
y

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.2%	3	`x`
61.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
y

Outputs
y

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
33.8%	1	`x`
33.8%	1	`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
2.7%	1	`x`
2.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.898080911943676e-11	97.89355275096608
11.0ms	-1186804.951522434	-202.16864644553922

Results

15.0ms

288×

valid

Compiler

Compiled 266 to 190 computations (28.6% saved)

Precisions

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

ival-sub: 3.0ms (42.2% of total)

ival-add: 2.0ms (28.1% of total)

ival-mult: 2.0ms (28.1% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1844804501.5933313	1.4640011331255626e+29
12.0ms	-1.0435027733711771e+33	-4.1230166306403883e+20

Results

16.0ms

336×

valid

Compiler

Compiled 266 to 178 computations (33.1% saved)

Precisions

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

ival-mult: 3.0ms (43% of total)

ival-sub: 2.0ms (28.7% of total)

ival-add: 2.0ms (28.7% of total)

const: 0.0ms (0% of total)

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

bsearch99.0ms (2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	1844804501.5933313	1.4640011331255626e+29
21.0ms	3.3673726799672684e-99	1.1247010739407223e-91
42.0ms	-0.00020488493811924593	-7.61673774244089e-17
13.0ms	-1.0435027733711771e+33	-4.1230166306403883e+20

Results

39.0ms

640×

valid

Compiler

Compiled 395 to 290 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 13.0ms (56.7% of total)

ival-mult: 5.0ms (21.8% of total)

ival-add: 4.0ms (17.5% of total)

const: 1.0ms (4.4% of total)

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

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.3673726799672684e-99	1.1247010739407223e-91
12.0ms	-0.00020488493811924593	-7.61673774244089e-17

Results

16.0ms

304×

valid

Compiler

Compiled 185 to 143 computations (22.7% saved)

Precisions

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

ival-mult: 4.0ms (49.3% of total)

ival-sub: 2.0ms (24.7% of total)

ival-add: 2.0ms (24.7% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	79
1	62	79
2	65	79
3	66	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 y #s(literal -205 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -16499999999999998951424 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 69000000000 binary64)) (-.f64 y x) (.f64 y x)))
(if (<=.f64 y #s(literal -78000000000000004060086272 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -7495340081610701/2417851639229258349412352 binary64)) y (if (<=.f64 y #s(literal 2275150627062151/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 265000000000000 binary64)) y (.f64 y x)))))
(if (<=.f64 y #s(literal -5570730176784211/1237940039285380274899124224 binary64)) y (if (<=.f64 y #s(literal 2018278782071263/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (neg.f64 x) y))
y
x

Outputs
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 y #s(literal -205 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -16499999999999998951424 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 69000000000 binary64)) (-.f64 y x) (.f64 y x)))
(if (<=.f64 y #s(literal -78000000000000004060086272 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -7495340081610701/2417851639229258349412352 binary64)) y (if (<=.f64 y #s(literal 2275150627062151/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 265000000000000 binary64)) y (.f64 y x)))))
(if (<=.f64 y #s(literal -78000000000000004060086272 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -7495340081610701/2417851639229258349412352 binary64)) y (if (<=.f64 y #s(literal 2275150627062151/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 y #s(literal 265000000000000 binary64)) y (.f64 y x)))))
(if (<=.f64 y #s(literal -5570730176784211/1237940039285380274899124224 binary64)) y (if (<=.f64 y #s(literal 2018278782071263/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (neg.f64 x) y))
(if (<=.f64 y #s(literal -5570730176784211/1237940039285380274899124224 binary64)) y (if (<=.f64 y #s(literal 2018278782071263/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (-.f64 #s(literal 0 binary64) x) y))
y
x

soundness1.6s (32.1%)

Rules

2910×	`-lowering-.f32`
2910×	`-lowering-.f64`
2648×	`-lowering-.f32`
2648×	`-lowering-.f64`
2562×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	26	12
2	181	12
3	2087	11
0	10957	11
0	63	547
1	224	522
2	664	497
3	2061	497
4	6231	497
0	8348	497
0	37	413
1	118	371
2	307	371
3	825	371
4	2654	371
5	5416	371
0	8602	371
0	10	21
1	66	19
2	538	19
3	6716	19
0	8033	19
0	6	6
1	14	6
2	28	6
3	73	6
4	158	6
5	339	6
6	815	6
7	2441	6
8	4179	6
9	4480	6
10	4525	6
0	4525	6

Stop Event

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

Compiler

Compiled 259 to 158 computations (39% saved)

preprocess93.0ms (1.9%)

Compiler: Compiled 196 to 96 computations (51% saved)

analyze0.0ms (0%)

sample622.0ms (12.4%)

preprocess151.0ms (3%)

explain67.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (1.3%)

localize68.0ms (1.4%)

series6.0ms (0.1%)

rewrite339.0ms (6.8%)

simplify209.0ms (4.2%)

eval63.0ms (1.3%)

prune68.0ms (1.4%)

simplify35.0ms (0.7%)

localize43.0ms (0.9%)

series3.0ms (0.1%)

rewrite261.0ms (5.2%)

simplify189.0ms (3.8%)

eval56.0ms (1.1%)

prune42.0ms (0.8%)

simplify25.0ms (0.5%)

localize41.0ms (0.8%)

series1.0ms (0%)

rewrite368.0ms (7.4%)

simplify160.0ms (3.2%)

eval68.0ms (1.4%)

prune62.0ms (1.2%)

simplify4.0ms (0.1%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite26.0ms (0.5%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes17.0ms (0.3%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch28.0ms (0.6%)

bsearch29.0ms (0.6%)

bsearch99.0ms (2%)

bsearch28.0ms (0.6%)

simplify12.0ms (0.2%)

soundness1.6s (32.1%)

preprocess93.0ms (1.9%)

end0.0ms (0%)

Profiling