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)

sample974.0ms (30.7%)

Results

804.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-div: 170.0ms (66.4% of total)

ival-add: 74.0ms (28.9% of total)

const: 10.0ms (3.9% of total)

backward-pass: 2.0ms (0.8% of total)

Bogosity

preprocess27.0ms (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)

explain74.0ms (2.3%)

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

51.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 5.0ms (61.3% of total)

ival-add: 3.0ms (36.8% of total)

const: 1.0ms (12.3% 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)

simplify6.0ms (0.2%)

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)

localize20.0ms (0.6%)

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

15.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 3.0ms (50.5% of total)

ival-div: 2.0ms (33.7% of total)

const: 0.0ms (0% of total)

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

series3.0ms (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	x	@	inf	(+ x (/ y 500))
0.0ms	y	@	inf	(+ x (/ y 500))
0.0ms	y	@	inf	(/ y 500)
0.0ms	x	@	0	(+ x (/ y 500))

rewrite307.0ms (9.7%)

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))

simplify149.0ms (4.7%)

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)

eval16.0ms (0.5%)

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
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
▶	52.2%	(*.f64 #s(literal 1/500 binary64) y)
▶	48.4%	x

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6272	(fma.f64 y #s(literal 1/500 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 500 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
✓	cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	18	27
2	19	27
0	19	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize56.0ms (1.8%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 500 binary64) y)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
✓	accuracy	99.8%	(*.f64 #s(literal 1/500 binary64) y)

Results

42.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

...c/correct-round.rkt:119:19: 7.0ms (32.1% of total)

ival-div: 4.0ms (18.3% of total)

ival-mult: 4.0ms (18.3% of total)

compiled-spec: 4.0ms (18.3% of total)

ival-add: 3.0ms (13.8% of total)

const: 1.0ms (4.6% of total)

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

series2.0ms (0.1%)

Counts

5 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite243.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2664×	`-lowering-.f32`
2664×	`-lowering-.f64`
1832×	`/-lowering-/.f32`
1832×	`/-lowering-/.f64`
1820×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	62	17
2	444	17
3	5771	17
0	8169	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 249

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 y #s(literal 500 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -500 binary64)))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)))
(*.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -500 binary64)))
(*.f64 (-.f64 #s(literal 0 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 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1/2 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 -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal -500 binary64)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (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 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))))))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(-.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 #s(literal 1/500 binary64) y x)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)) x)
(fma.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal -500 binary64)) x)
(fma.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)) x)
(fma.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) y) x)
(neg.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 -1/250000 binary64)) (neg.f64 (*.f64 x (+.f64 x (/.f64 y #s(literal -500 binary64))))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y)))))
(neg.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(/.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) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 500 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y))))
(/.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 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 x 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 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (neg.f64 (*.f64 x (+.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)) #s(literal 125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y))) (+.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/125000000 binary64) (.f64 y (*.f64 y y))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y))) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.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 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y))) (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (+.f64 (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 1/250000 binary64))))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.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 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (+.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 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 x x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.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)) #s(literal 125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 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 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y)))))
(/.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)) #s(literal 125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y)))))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/125000000 binary64) (.f64 y (.f64 y y)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.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 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y)))) #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 (.f64 (-.f64 (.f64 #s(literal 1/62500000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/250000 binary64)))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (neg.f64 (*.f64 x (+.f64 x (/.f64 y #s(literal -500 binary64))))))))
(/.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 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.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))))))
(/.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 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))) (+.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))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 125000000 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.f64 #s(literal -500 binary64) y))))
(/.f64 (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal 1 binary64)) (+.f64 x (/.f64 y #s(literal -500 binary64))))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/250000 binary64))) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.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)) #s(literal 125000000 binary64)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal -500 binary64))) (/.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))))))
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simplify150.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1544×	`fnmadd-define`
1404×	`fmsub-define`
1344×	`fnmsub-define`
1340×	`-lowering-.f32`
1340×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	312
1	70	276
2	162	276
3	441	276
4	1344	276
5	3720	276
6	6038	276
0	8060	276

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)
(* 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)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 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)))

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

eval35.0ms (1.1%)

Compiler: Compiled 6944 to 415 computations (94% saved)

prune26.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	332	1	333
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	333	5	338

Accuracy

100.0%

Counts

338 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	52.3%	(/.f64 y #s(literal 500 binary64))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	48.4%	x

Compiler

Compiled 30 to 22 computations (26.7% 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)

localize18.0ms (0.6%)

Localize:

Found 1 expressions of interest:

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

Results

14.0ms

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 (75.8% 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)

rewrite183.0ms (5.8%)

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))
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(.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)))

simplify9.0ms (0.3%)

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)

eval38.0ms (1.2%)

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

prune41.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	248	5	253

Accuracy

100.0%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	52.3%	(/.f64 y #s(literal 500 binary64))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	48.4%	x

Compiler

Compiled 55 to 34 computations (38.2% saved)

regimes11.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms	(/.f64 y #s(literal 500 binary64))
3.0ms	x
2.0ms	y

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)

regimes6.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1/500 binary64) y)
(/.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
77.9%	3	`x`
75.9%	3	`y`
75.9%	3	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

14.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.4%	1	`y`
48.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.1963838805349587e+30	9.886809461407213e+40
8.0ms	-8.132891355585598e-33	-8.28730237768407e-35

Results

11.0ms

272×

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.3% of total)

ival-add: 1.0ms (24.6% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.1963838805349587e+30	9.886809461407213e+40
8.0ms	-8.132891355585598e-33	-8.28730237768407e-35

Results

27.0ms

272×

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

Precisions

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

ival-div: 18.0ms (89.8% of total)

ival-add: 1.0ms (5% 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 -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) x (if (<=.f64 x #s(literal 7099999999999999831558361972736 binary64)) (/.f64 y #s(literal 500 binary64)) x))
(if (<=.f64 x #s(literal -8476709496519237/1461501637330902918203684832716283019655932542976 binary64)) x (if (<=.f64 x #s(literal 10199999999999999657041806403643985887232 binary64)) (*.f64 #s(literal 1/500 binary64) y) x))
x

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(if (<=.f64 x #s(literal -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) x (if (<=.f64 x #s(literal 7099999999999999831558361972736 binary64)) (/.f64 y #s(literal 500 binary64)) x))
(if (<=.f64 x #s(literal -8476709496519237/1461501637330902918203684832716283019655932542976 binary64)) x (if (<=.f64 x #s(literal 10199999999999999657041806403643985887232 binary64)) (*.f64 #s(literal 1/500 binary64) y) x))
(if (<=.f64 x #s(literal -8476709496519237/1461501637330902918203684832716283019655932542976 binary64)) x (if (<=.f64 x #s(literal 10199999999999999657041806403643985887232 binary64)) (*.f64 y #s(literal 1/500 binary64)) x))
x

soundness638.0ms (20.1%)

Rules

2664×	`-lowering-.f32`
2664×	`-lowering-.f64`
1832×	`/-lowering-/.f32`
1832×	`/-lowering-/.f64`
1820×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	62	17
2	444	17
3	5771	17
0	8169	17
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 58 to 37 computations (36.2% saved)

preprocess31.0ms (1%)

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

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

analyze0.0ms (0%)

sample974.0ms (30.7%)

preprocess27.0ms (0.9%)

explain74.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize20.0ms (0.6%)

series3.0ms (0.1%)

rewrite307.0ms (9.7%)

simplify149.0ms (4.7%)

eval16.0ms (0.5%)

prune16.0ms (0.5%)

simplify5.0ms (0.2%)

localize56.0ms (1.8%)

series2.0ms (0.1%)

rewrite243.0ms (7.7%)

simplify150.0ms (4.7%)

eval35.0ms (1.1%)

prune26.0ms (0.8%)

simplify4.0ms (0.1%)

localize18.0ms (0.6%)

series0.0ms (0%)

rewrite183.0ms (5.8%)

simplify9.0ms (0.3%)

eval38.0ms (1.2%)

prune41.0ms (1.3%)

regimes11.0ms (0.3%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes16.0ms (0.5%)

bsearch21.0ms (0.7%)

bsearch37.0ms (1.2%)

simplify8.0ms (0.2%)

soundness638.0ms (20.1%)

preprocess31.0ms (1%)

end0.0ms (0%)

Profiling