Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, C

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 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample543.0ms (16%)

Results

377.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div: 114.0ms (65.6% of total)

ival-add: 46.0ms (26.5% of total)

const: 10.0ms (5.8% of total)

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

Bogosity

preprocess29.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

292×	`fnmadd-define`
288×	`fnmsub-define`
288×	`fmsub-define`
226×	`fmm-def`
140×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	34	30
2	79	30
3	235	25
4	556	24
5	882	24
6	1067	24
7	1088	24
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (/ y 500))

Outputs
(+ x (/ y 500))
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Call 2

Inputs
(+ x (/ y 500))
(+ (neg x) (/ y 500))
(+ x (/ (neg y) 500))
(neg (+ (neg x) (/ y 500)))
(neg (+ x (/ (neg y) 500)))
(+ y (/ x 500))

Outputs
(+ x (/ y 500))
(fma y 1/500 x)
(+ (neg x) (/ y 500))
(fnmsub y -1/500 x)
(+ x (/ (neg y) 500))
(fma y -1/500 x)
(neg (+ (neg x) (/ y 500)))
(fma y -1/500 x)
(neg (+ x (/ (neg y) 500)))
(fnmsub y -1/500 x)
(+ y (/ x 500))
(fma x 1/500 y)

explain53.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 y #s(literal 500 binary64))`
-	-	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
-	-	`#s(literal 500 binary64)`
-	-	`y`

Results

33.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 11.0ms (73.5% of total)

ival-add: 3.0ms (20% of total)

const: 1.0ms (6.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 500 binary64))
✓	cost-diff	0	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ y 500))
x
(/ y 500)
y
500

Outputs
(+ x (/ y 500))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/ y 500)
(/.f64 y #s(literal 500 binary64))
y
500
#s(literal 500 binary64)

localize25.0ms (0.7%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 500 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Results

19.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 4.0ms (69.8% of total)

ival-add: 2.0ms (34.9% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (+ x (/ y 500))>
#<alt (/ y 500)>

Outputs
#<alt (* 1/500 y)>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (* 1/500 y)>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* 1/500 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ y 500)
0.0ms	y	@	inf	(+ x (/ y 500))
0.0ms	x	@	inf	(+ x (/ y 500))
0.0ms	y	@	inf	(/ y 500)
0.0ms	x	@	0	(+ x (/ y 500))

rewrite254.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3020×	`-lowering-.f32`
3020×	`-lowering-.f64`
1446×	`/-lowering-/.f32`
1446×	`/-lowering-/.f64`
1194×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	7
2	249	7
3	3987	7
0	8280	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(+ x (/ y 500))
(/ y 500)

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 y #s(literal -500 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal -500 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/500 binary64) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal 500 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y)))) (+.f64 x (/.f64 y #s(literal 500 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)))) (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 500 binary64)) (+.f64 x (/.f64 y #s(literal 500 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y)))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))) (+.f64 x (/.f64 y #s(literal -500 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y)))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1953125000000000000000000 binary64))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64))) (.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 62500000000 binary64))) (.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (.f64 y (.f64 y #s(literal 1/250000 binary64))))) (.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1953125000000000000000000 binary64))) #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 125000000 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 1/250000 binary64)))))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 62500000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 1/250000 binary64)))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))) (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64))))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 y (*.f64 y #s(literal 1/250000 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))
(/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))) #s(literal 1 binary64)) (+.f64 x (/.f64 y #s(literal -500 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1953125000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 62500000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(*.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))) (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))) (/.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64))))
(.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y)))) (+.f64 x (/.f64 y #s(literal 500 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)) (-.f64 (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y)) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))) (-.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -250000 binary64) y))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/125000000 binary64)))) (+.f64 (.f64 x x) (*.f64 (/.f64 y #s(literal 500 binary64)) (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1953125000000000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 500 binary64) y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/125000000 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 15625000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 62500000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 500 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -500 binary64)))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/500 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -500 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/500 binary64))

simplify183.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1544×	`fnmadd-define`
1404×	`fmsub-define`
1344×	`fnmsub-define`
1318×	`fma-lowering-fma.f32`
1318×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	68	120
2	160	120
3	441	120
4	1347	120
5	3754	120
6	6031	120
0	8030	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+ x (* 1/500 y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+ x (* 1/500 y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* x (+ 1 (* 1/500 (/ y x))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* x (+ 1 (* 1/500 (/ y x))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
x
(+ x (* 1/500 y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+ x (* 1/500 y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+ x (* 1/500 y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* y (+ 1/500 (/ x y)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* y (+ 1/500 (/ x y)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)

eval28.0ms (0.8%)

Compiler: Compiled 2711 to 308 computations (88.6% saved)

prune16.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	137	5	142

Accuracy

100.0%

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	50.9%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	48.1%	(*.f64 #s(literal 1/500 binary64) y)
▶	53.0%	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify165.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6272	(fma.f64 y #s(literal 1/500 binary64) x)
✓	cost-diff	0	(*.f64 y #s(literal 1/250000 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 1/250000 binary64)))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)

Rules

2274×	`fnmadd-define`
1574×	`fmsub-define`
1560×	`fnmsub-define`
1224×	`fma-lowering-fma.f32`
1224×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	32	58
2	60	58
3	108	58
4	203	58
5	443	58
6	1220	58
7	3103	56
8	5287	56
9	6964	56
10	7201	56
11	7209	56
12	7209	56
13	7297	56
0	8115	56

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
(* 1/500 y)
1/500
y
(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
(- (* y (* y 1/250000)) (* x x))
(* y (* y 1/250000))
y
(* y 1/250000)
1/250000
(* x x)
x
(- (/ y 500) x)
(/ y 500)
500
(+ (* y 1/500) x)
y
1/500
x

Outputs
x
(* 1/500 y)
(/.f64 y #s(literal 500 binary64))
1/500
#s(literal 1/500 binary64)
y
(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(- (* y (* y 1/250000)) (* x x))
(-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))
(* y (* y 1/250000))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
y
(* y 1/250000)
(*.f64 y #s(literal 1/250000 binary64))
1/250000
#s(literal 1/250000 binary64)
(* x x)
(*.f64 x x)
x
(- (/ y 500) x)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/ y 500)
(/.f64 y #s(literal 500 binary64))
500
#s(literal 500 binary64)
(+ (* y 1/500) x)
(+.f64 x (/.f64 y #s(literal 500 binary64)))
y
1/500
#s(literal 1/500 binary64)
x

localize67.0ms (2%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/250000 binary64)))
✓	accuracy	99.6%	(*.f64 y #s(literal 1/250000 binary64))
✓	accuracy	94.1%	(-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x))
✓	accuracy	51.4%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	accuracy	99.7%	(*.f64 #s(literal 1/500 binary64) y)

Results

49.0ms

256×

valid

Compiler

Compiled 63 to 15 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 10.0ms (30.7% of total)

...c/correct-round.rkt:119:19: 7.0ms (21.5% of total)

compiled-spec: 5.0ms (15.4% of total)

ival-div: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

ival-add: 2.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (* 1/500 y)>
#<alt (/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))>
#<alt (- (* y (* y 1/250000)) (* x x))>
#<alt (* y (* y 1/250000))>
#<alt (* y 1/250000)>
#<alt (+ (* y 1/500) x)>

Outputs
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt x>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (* 1/500 y)>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* 1/500 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* 1/500 y)>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 1/250000 (pow y 2)) (pow x 2))>
#<alt (- (* 1/250000 (pow y 2)) (pow x 2))>
#<alt (- (* 1/250000 (pow y 2)) (pow x 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/250000 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 (pow y 2))>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt (* 1/250000 y)>
#<alt x>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (* 1/500 y)>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* 1/500 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* 1/500 y)>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
1.0ms	x	@	0	(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
1.0ms	y	@	inf	(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
0.0ms	x	@	inf	(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
0.0ms	y	@	-inf	(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))

rewrite368.0ms (10.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5062×	`-lowering-.f32`
5062×	`-lowering-.f64`
3066×	`/-lowering-/.f32`
3066×	`/-lowering-/.f64`
1790×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	87	27
2	735	27
0	8835	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 574

Calls

Call 1

Inputs
(* 1/500 y)
(/ (- (* y (* y 1/250000)) (* x x)) (- (/ y 500) x))
(- (* y (* y 1/250000)) (* x x))
(* y (* y 1/250000))
(* y 1/250000)
(+ (* y 1/500) x)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -500 binary64)))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/500 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -500 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(+.f64 (/.f64 y #s(literal 500 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal 500 binary64)))))
(+.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x (/.f64 y #s(literal 500 binary64))))))
(+.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(+.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (fma.f64 #s(literal 1/500 binary64) y (neg.f64 (.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 y #s(literal 1/500 binary64) (neg.f64 (.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/500 binary64) (neg.f64 (.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)) (neg.f64 (.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 y (/.f64 (.f64 y #s(literal 1/250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x)))
(+.f64 (fma.f64 y (/.f64 (.f64 y #s(literal 1/250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 500 binary64)))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x))))
(+.f64 (fma.f64 y (/.f64 (.f64 y #s(literal 1/250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64)))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 y (/.f64 (.f64 y #s(literal 1/250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))))
(+.f64 (fma.f64 (.f64 y #s(literal 1/250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x)))
(+.f64 (fma.f64 (.f64 y #s(literal 1/250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 500 binary64)))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x))))
(+.f64 (fma.f64 (.f64 y #s(literal 1/250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64)))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (.f64 y #s(literal 1/250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))))
(+.f64 (fma.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x)))
(+.f64 (fma.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 500 binary64)))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x))))
(+.f64 (fma.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64)))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))))
(+.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x)))
(+.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 500 binary64)))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 x x))))
(+.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64)))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (neg.f64 (.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x)) x)))
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(.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))))
(.f64 (+.f64 (.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 (-.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64))))))))
(.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/62500000000 binary64)) (.f64 (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)))) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (+.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/62500000000 binary64)) (.f64 (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)))) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (+.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 x (/.f64 y #s(literal 500 binary64)))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)))))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))))
(.f64 (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 x (/.f64 y #s(literal 500 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/15625000000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/15625000000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/15625000000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))))))
(.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))))) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x x))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64)))))))
(*.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 500 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -250000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 500 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64)))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (.f64 x (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/15625000000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (+.f64 x (/.f64 y #s(literal 500 binary64)))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/62500000000 binary64))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (*.f64 x x))))

simplify173.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

3868×	`-lowering-.f32`
3868×	`-lowering-.f64`
1330×	`fnmadd-define`
1212×	`/-lowering-/.f32`
1212×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	507
1	112	471
2	284	471
3	885	471
4	3265	471
0	8762	471

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (pow x 2))
(- (* 1/250000 (pow y 2)) (pow x 2))
(- (* 1/250000 (pow y 2)) (pow x 2))
(- (* 1/250000 (pow y 2)) (pow x 2))
(* 1/250000 (pow y 2))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/250000 (pow y 2))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
x
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* y (+ 1/500 (/ x y)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* y (+ 1/500 (/ x y)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
x
(* x (+ 1 (* 1/500 (/ y x))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* x (+ 1 (* 1/500 (/ y x))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* x (+ 1 (* 1/500 (/ y x))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- (* 1/250000 (pow y 2)) (pow x 2))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(- (* 1/250000 (pow y 2)) (pow x 2))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(- (* 1/250000 (pow y 2)) (pow x 2))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 x x))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 (pow y 2))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
x
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* y (+ 1/500 (/ x y)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* y (+ 1/500 (/ x y)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(+ x (* 1/500 y))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
x
(* x (+ 1 (* 1/500 (/ y x))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* x (+ 1 (* 1/500 (/ y x))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* x (+ 1 (* 1/500 (/ y x))))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))

eval90.0ms (2.6%)

Compiler: Compiled 23108 to 1167 computations (94.9% saved)

prune58.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	681	1	682
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	682	5	687

Accuracy

100.0%

Counts

687 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	50.9%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
▶	48.3%	(/.f64 y #s(literal 500 binary64))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	53.0%	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 500 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y 500)
y
500

Outputs
(/ y 500)
(/.f64 y #s(literal 500 binary64))
y
500
#s(literal 500 binary64)

localize16.0ms (0.5%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 500 binary64))

Results

12.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-div: 2.0ms (73.2% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ y 500)>

Outputs
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ y 500)
0.0ms	y	@	inf	(/ y 500)
0.0ms	y	@	-inf	(/ y 500)

rewrite175.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
1932×	`/-lowering-/.f32`
1932×	`/-lowering-/.f64`
1454×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	39	3
3	145	3
4	656	3
5	6469	3
0	8189	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 236

Calls

Call 1

Inputs
(/ y 500)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 y #s(literal 500 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 500 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 250000 binary64) (.f64 y y))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 500 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -500 binary64) (.f64 y y))) (/.f64 y #s(literal 500 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -500 binary64))) (/.f64 y #s(literal 500 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal 250000 binary64))) (/.f64 y #s(literal 500 binary64)))
(neg.f64 (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 y #s(literal -500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 (.f64 y (*.f64 y y)) #s(literal -125000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 500 binary64)) (/.f64 (*.f64 y y) #s(literal 250000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 500 binary64) (.f64 y y)))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -500 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 500 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -500 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 500 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -500 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 500 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 #s(literal -500 binary64) (*.f64 y y))))
(/.f64 (.f64 y y) (.f64 y #s(literal 500 binary64)))
(/.f64 (.f64 y y) (.f64 y #s(literal -500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y #s(literal 500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y #s(literal -500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 500 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -500 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal 500 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal -500 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y)))
(/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -125000000 binary64)) (/.f64 (*.f64 y y) #s(literal 250000 binary64)))
(/.f64 (/.f64 (*.f64 y y) #s(literal 250000 binary64)) (/.f64 y #s(literal 500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal -500 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal 500 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal -500 binary64)) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 500 binary64)) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal -500 binary64) (.f64 y y)) (.f64 y (.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal -500 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 500 binary64) (.f64 y y)) (.f64 y (.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 500 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 1/500 binary64)) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 1/500 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/500 binary64)) y)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/500 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (.f64 y y))
(/.f64 (neg.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (neg.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))) y)
(/.f64 (neg.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -500 binary64)) y)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal -500 binary64)) (*.f64 y y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 500 binary64)) y)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 500 binary64)) (*.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/500 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/500 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 (.f64 y y) #s(literal -1/500 binary64)) y)
(/.f64 (.f64 (.f64 y y) #s(literal -1/500 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y y)) y)
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (*.f64 y y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) y)
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y y)) y)
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (*.f64 y y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) y)
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/500 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/500 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
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(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)

eval25.0ms (0.7%)

Compiler: Compiled 2816 to 451 computations (84% saved)

prune31.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	247	6	253

Accuracy

100.0%

Counts

253 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	50.9%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	48.3%	(/.f64 y #s(literal 500 binary64))
▶	2.4%	(/.f64 y #s(literal -500 binary64))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	53.0%	x

Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -500 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y -500)
y
-500

Outputs
(/ y -500)
(/.f64 y #s(literal -500 binary64))
y
-500
#s(literal -500 binary64)

localize15.0ms (0.5%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal -500 binary64))

Results

11.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-div: 2.0ms (69.3% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ y -500)>

Outputs
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>
#<alt (* -1/500 y)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ y -500)
0.0ms	y	@	inf	(/ y -500)
0.0ms	y	@	-inf	(/ y -500)

rewrite164.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
1932×	`/-lowering-/.f32`
1932×	`/-lowering-/.f64`
1454×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	39	3
3	145	3
4	656	3
5	6469	3
0	8189	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 236

Calls

Call 1

Inputs
(/ y -500)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -500 binary64)))
(+.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 y #s(literal -500 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 250000 binary64) (.f64 y y))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -500 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 500 binary64) (.f64 y y))) (/.f64 y #s(literal -500 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 500 binary64))) (/.f64 y #s(literal -500 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal 250000 binary64))) (/.f64 y #s(literal -500 binary64)))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(/.f64 y #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 125000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -500 binary64)) (/.f64 (*.f64 y y) #s(literal 250000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -500 binary64) (.f64 y y)))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 500 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -500 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 500 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -500 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 500 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 #s(literal -500 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 500 binary64) (*.f64 y y))))
(/.f64 (.f64 y y) (.f64 y #s(literal -500 binary64)))
(/.f64 (.f64 y y) (.f64 y #s(literal 500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y #s(literal -500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y #s(literal 500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -500 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 500 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal -500 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal 500 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -500 binary64) y)))
(/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (/.f64 (*.f64 y y) #s(literal 250000 binary64)))
(/.f64 (/.f64 (*.f64 y y) #s(literal 250000 binary64)) (/.f64 y #s(literal -500 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal 500 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal -500 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 500 binary64)) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal -500 binary64)) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 500 binary64) (.f64 y y)) (.f64 y (.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 500 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal -500 binary64) (.f64 y y)) (.f64 y (.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal -500 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)
(/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)
(/.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal -1/500 binary64)) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal -1/500 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1/500 binary64)) y)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1/500 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (.f64 y y))
(/.f64 (neg.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (neg.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))) y)
(/.f64 (neg.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 500 binary64)) y)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 500 binary64)) (*.f64 y y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -500 binary64)) y)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal -500 binary64)) (*.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/500 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/500 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/500 binary64)) y)
(/.f64 (.f64 (.f64 y y) #s(literal 1/500 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y y)) y)
(/.f64 (.f64 #s(literal 1/500 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (*.f64 y y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) y)
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y y)) y)
(/.f64 (.f64 #s(literal -1/500 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))) (*.f64 y y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) y)
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/500 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/500 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (.f64 (.f64 y y) #s(literal -1/500 binary64)) y)
(/.f64 (.f64 (.f64 y y) #s(literal -1/500 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) y)
(/.f64 (.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal -1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -500 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -500 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 #s(literal -1/500 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 500 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 500 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))) y) y)
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -500 binary64) y))) (sqrt.f64 (/.f64 #s(literal -500 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) (*.f64 y y))) y)
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(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/500 binary64))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64))))
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(*.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) y))
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(.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 y #s(literal -500 binary64)))
(.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (/.f64 #s(literal 250000 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 y y) #s(literal 250000 binary64)) (/.f64 #s(literal -500 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -500 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal -500 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal -500 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 500 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal 500 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1/500 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
(.f64 (/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/500 binary64) (.f64 y y)))
(.f64 (.f64 (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64))) y)
(.f64 (.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 y #s(literal -500 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/500 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -500 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -500 binary64) y))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)))

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)

Outputs
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)

eval35.0ms (1%)

Compiler: Compiled 2816 to 451 computations (84% saved)

prune32.0ms (0.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	248	6	254

Accuracy

100.0%

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	50.9%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	48.3%	(/.f64 y #s(literal 500 binary64))
✓	2.4%	(/.f64 y #s(literal -500 binary64))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	53.0%	x

Compiler

Compiled 79 to 47 computations (40.5% saved)

regimes15.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1/500 binary64) y)
(/.f64 y #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y #s(literal 1/500 binary64) x)

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms	(/.f64 y #s(literal 500 binary64))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
100.0%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1/500 binary64) y)
(/.f64 y #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))

Outputs
x
(/.f64 y #s(literal 500 binary64))
x

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
77.2%	3	`x`
76.3%	3	`y`
76.3%	3	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1/500 binary64) y)
(/.f64 y #s(literal -500 binary64))

Outputs
x
(*.f64 #s(literal 1/500 binary64) y)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.1%	3	`x`

Compiler

Compiled 3 to 2 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
53.0%	1	`y`
53.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.1465777846229806e+33	6.713835702321626e+34
10.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

11.0ms

224×

valid

Compiler

Compiled 152 to 121 computations (20.4% saved)

Precisions

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

ival-div: 4.0ms (69% of total)

ival-add: 1.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.1465777846229806e+33	6.713835702321626e+34
11.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

12.0ms

224×

valid

Compiler

Compiled 152 to 121 computations (20.4% saved)

Precisions

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

ival-div: 5.0ms (77.1% of total)

ival-add: 1.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`if-if-or-not_binary32`
2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	27	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(if (<=.f64 x #s(literal -780000000000000042588707862310427877083086351936430199013376 binary64)) x (if (<=.f64 x #s(literal 7800000000000000382531854923726848 binary64)) (/.f64 y #s(literal 500 binary64)) x))
(if (<=.f64 x #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) x (if (<=.f64 x #s(literal 4999999999999999727876154935214080 binary64)) (*.f64 #s(literal 1/500 binary64) y) x))
x

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(if (<=.f64 x #s(literal -780000000000000042588707862310427877083086351936430199013376 binary64)) x (if (<=.f64 x #s(literal 7800000000000000382531854923726848 binary64)) (/.f64 y #s(literal 500 binary64)) x))
(if (<=.f64 x #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) x (if (<=.f64 x #s(literal 4999999999999999727876154935214080 binary64)) (*.f64 #s(literal 1/500 binary64) y) x))
(if (<=.f64 x #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) x (if (<=.f64 x #s(literal 4999999999999999727876154935214080 binary64)) (*.f64 y #s(literal 1/500 binary64)) x))
x

soundness720.0ms (21.1%)

Rules

5062×	`-lowering-.f32`
5062×	`-lowering-.f64`
3066×	`/-lowering-/.f32`
3066×	`/-lowering-/.f64`
1790×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	68	120
2	160	120
3	441	120
4	1347	120
5	3754	120
6	6031	120
0	8030	120
0	15	47
1	87	27
2	735	27
0	8835	27

Stop Event

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

preprocess29.0ms (0.9%)

Compiler: Compiled 82 to 48 computations (41.5% saved)

analyze0.0ms (0%)

sample543.0ms (16%)

preprocess29.0ms (0.9%)

explain53.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.7%)

series2.0ms (0.1%)

rewrite254.0ms (7.4%)

simplify183.0ms (5.4%)

eval28.0ms (0.8%)

prune16.0ms (0.5%)

simplify165.0ms (4.8%)

localize67.0ms (2%)

series8.0ms (0.2%)

rewrite368.0ms (10.8%)

simplify173.0ms (5.1%)

eval90.0ms (2.6%)

prune58.0ms (1.7%)

simplify5.0ms (0.1%)

localize16.0ms (0.5%)

series0.0ms (0%)

rewrite175.0ms (5.1%)

simplify7.0ms (0.2%)

eval25.0ms (0.7%)

prune31.0ms (0.9%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series0.0ms (0%)

rewrite164.0ms (4.8%)

simplify5.0ms (0.1%)

eval35.0ms (1%)

prune32.0ms (0.9%)

regimes15.0ms (0.4%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.6%)

bsearch21.0ms (0.6%)

simplify8.0ms (0.2%)

soundness720.0ms (21.1%)

preprocess29.0ms (0.9%)

end0.0ms (0%)

Profiling