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)

sample711.0ms (20.7%)

Results

505.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-div: 198.0ms (76% of total)

ival-add: 49.0ms (18.8% of total)

const: 11.0ms (4.2% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess52.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

52×	`sub-neg`
42×	`distribute-lft-neg-in`
42×	`cancel-sign-sub`
30×	`*-commutative`
26×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	34	30
2	76	30
3	191	30
4	277	30
5	335	30
6	342	30
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))
(+ x (* y 1/500))
(+ (neg x) (/ y 500))
(- (* y 1/500) x)
(+ x (/ (neg y) 500))
(+ x (* y -1/500))
(neg (+ (neg x) (/ y 500)))
(+ x (* y -1/500))
(neg (+ x (/ (neg y) 500)))
(- (* y 1/500) x)
(+ y (/ x 500))
(+ y (* x 1/500))

explain81.0ms (2.4%)

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

59.0ms

512×

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

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

ival-div: 8.0ms (61.6% of total)

ival-add: 3.0ms (23.1% of total)

const: 2.0ms (15.4% 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)

localize32.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))
✓	accuracy	100.0%	(/.f64 y #s(literal 500 binary64))
✓	accuracy	100.0%	(+.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)

Results

15.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-div: 4.0ms (64.6% of total)

ival-add: 1.0ms (16.1% of total)

const: 1.0ms (16.1% of total)

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

series6.0ms (0.2%)

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
2.0ms	y	@	inf	(+ x (/ y 500))
1.0ms	y	@	-inf	(/ y 500)
0.0ms	y	@	inf	(/ y 500)
0.0ms	x	@	inf	(+ x (/ y 500))
0.0ms	x	@	0	(+ x (/ y 500))

rewrite587.0ms (17.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
3556×	`accelerator-lowering-fma.f32`
3556×	`accelerator-lowering-fma.f64`
2998×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	8
2	233	8
3	3689	8
0	8285	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 154

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

simplify309.0ms (9%)

Algorithm

1×	egg-herbie

Rules

4188×	`/-lowering-/.f32`
4188×	`/-lowering-/.f64`
3666×	`associate-/r*`
2352×	`accelerator-lowering-fma.f32`
2352×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	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)

eval78.0ms (2.3%)

Compiler: Compiled 4074 to 1995 computations (51% saved)

prune26.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	187	4	191

Accuracy

100.0%

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
▶	47.9%	(*.f64 #s(literal 1/500 binary64) y)
▶	53.2%	x

Compiler

Compiled 24 to 18 computations (25% saved)

localize57.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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)
✓	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	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
✓	accuracy	99.8%	(*.f64 #s(literal 1/500 binary64) y)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	14	19
0	14	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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))
(/ 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)

Results

31.0ms

256×

valid

Compiler

Compiled 28 to 19 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 11.0ms (62.9% of total)

ival-add: 3.0ms (17.1% of total)

ival-mult: 2.0ms (11.4% of total)

const: 1.0ms (5.7% of total)

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

series4.0ms (0.1%)

Counts

4 → 60

Calls

Call 1

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

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 (* 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 (/ 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)>

Calls

15 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	y	@	0	(/ 1 (/ 500 y))

rewrite361.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3026×	`accelerator-lowering-fma.f32`
3026×	`accelerator-lowering-fma.f64`
2816×	`/-lowering-/.f32`
2816×	`/-lowering-/.f64`
2490×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	43	14
2	310	14
3	3355	14
0	8885	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 296

Calls

Call 1

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

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

simplify334.0ms (9.7%)

Algorithm

1×	egg-herbie

Rules

4620×	`/-lowering-/.f32`
4620×	`/-lowering-/.f64`
4006×	`associate-/r*`
2448×	`accelerator-lowering-fma.f32`
2448×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	210
1	66	210
2	143	210
3	400	210
4	1109	210
5	2588	210
6	3519	210
7	4454	210
8	4958	210
9	5152	210
10	5259	210
11	5977	210
12	6301	210
13	6303	210
14	6303	210
15	6303	210
0	8551	192

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

eval64.0ms (1.9%)

Compiler: Compiled 6040 to 3163 computations (47.6% saved)

prune47.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	356	4	360

Accuracy

100.0%

Counts

360 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.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)))
✓	53.2%	x

Compiler

Compiled 24 to 18 computations (25% saved)

localize71.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 500 binary64))
✓	accuracy	100.0%	(/.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)

Results

59.0ms

256×

valid

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

ival-div: 8.0ms (95.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (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)

rewrite345.0ms (10%)

Algorithm

1×	batch-egg-rewrite

Rules

3406×	`accelerator-lowering-fma.f32`
3406×	`accelerator-lowering-fma.f64`
2330×	`-lowering-.f32`
2330×	`-lowering-.f64`
1942×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	38	3
3	141	3
4	646	3
5	6446	3
0	8369	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 341

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)))
(fma.f64 y #s(literal 1/500 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/500 binary64) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 500 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/500 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/500 binary64) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 500 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1/500 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 500 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/500 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -1/500 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 500 binary64) (.f64 y y))) #s(literal 0 binary64))
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(.f64 (.f64 #s(literal -1/500 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(.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 (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 -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 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 (.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 (-.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 -1 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 -1 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 #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 -1 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 -1 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 binary64) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))) (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 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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)))
(*.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)

simplify6.0ms (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)

eval62.0ms (1.8%)

Compiler: Compiled 4232 to 2697 computations (36.3% saved)

prune50.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	353	4	357

Accuracy

100.0%

Counts

357 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(/.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)))
✓	53.2%	x

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes9.0ms (0.3%)

Counts

5 → 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)))

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

Calls

4 calls:

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

regimes13.0ms (0.4%)

Counts

3 → 5

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 y #s(literal 500 binary64))
4.0ms	y

Results

Accuracy	Segments	Branch
79.3%	5	`x`
77.5%	5	`y`
77.5%	5	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.2%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
53.2%	1	`y`
53.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch48.0ms (1.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	2.2629142593259365e-36	9.773677482306133e-33
10.0ms	-2.4127440410289463e-44	-1.375151294024721e-51
14.0ms	-4.433420845414632e+30	-17459657486198264.0
10.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

25.0ms

576×

valid

Compiler

Compiled 372 to 297 computations (20.2% saved)

Precisions

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

ival-div: 6.0ms (58.5% of total)

ival-add: 3.0ms (29.2% of total)

const: 1.0ms (9.7% of total)

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

bsearch45.0ms (1.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	2.2629142593259365e-36	9.773677482306133e-33
11.0ms	-3.8214707067629416e-59	-1.294846772201072e-62
11.0ms	-4.433420845414632e+30	-17459657486198264.0
10.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

23.0ms

560×

valid

Compiler

Compiled 362 to 289 computations (20.2% saved)

Precisions

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

ival-div: 5.0ms (56.7% of total)

ival-add: 3.0ms (34% of total)

const: 1.0ms (11.3% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 58 to 37 computations (36.2% saved)

preprocess36.0ms (1.1%)

Compiler: Compiled 130 to 84 computations (35.4% saved)

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

analyze0.0ms (0%)

sample711.0ms (20.7%)

preprocess52.0ms (1.5%)

explain81.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize32.0ms (0.9%)

series6.0ms (0.2%)

rewrite587.0ms (17.1%)

simplify309.0ms (9%)

eval78.0ms (2.3%)

prune26.0ms (0.8%)

localize57.0ms (1.7%)

series4.0ms (0.1%)

rewrite361.0ms (10.5%)

simplify334.0ms (9.7%)

eval64.0ms (1.9%)

prune47.0ms (1.4%)

localize71.0ms (2.1%)

series1.0ms (0%)

rewrite345.0ms (10%)

simplify6.0ms (0.2%)

eval62.0ms (1.8%)

prune50.0ms (1.4%)

regimes9.0ms (0.3%)

regimes13.0ms (0.4%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch48.0ms (1.4%)

bsearch45.0ms (1.3%)

soundness1.0ms (0%)

preprocess36.0ms (1.1%)

end0.0ms (0%)

Profiling