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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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 7 to 7 computations (0% saved)

sample486.0ms (17.1%)

Memory

32.9MiB live, 779.3MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-div: 122.0ms (65.5% of total)

ival-add: 51.0ms (27.4% of total)

ival-true: 5.0ms (2.7% of total)

exact: 4.0ms (2.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess21.0ms (0.7%)

Memory

-7.3MiB live, 28.8MiB allocated

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))

explain56.0ms (2%)

Memory

-0.3MiB live, 95.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (53.2% of total)

ival-add: 2.0ms (26.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Memory

-37.2MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

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)

localize15.0ms (0.5%)

Memory

32.3MiB live, 32.3MiB allocated

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)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (55.3% of total)

ival-add: 1.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

-32.1MiB live, 5.0MiB allocated

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
3.0ms	x	@	inf	(+ x (/ y 500))
0.0ms	y	@	0	(+ x (/ y 500))
0.0ms	y	@	-inf	(/ y 500)
0.0ms	y	@	inf	(+ x (/ y 500))
0.0ms	y	@	inf	(/ y 500)

rewrite296.0ms (10.4%)

Memory

53.9MiB live, 475.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 588×	`/-lowering-/.f32`
3 588×	`/-lowering-/.f64`
3 556×	`accelerator-lowering-fma.f32`
3 556×	`accelerator-lowering-fma.f64`
2 998×	`-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 x (/.f64 x (+.f64 x (/.f64 y #s(literal -500 binary64))))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 250000 binary64) y)) (+.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 x (/.f64 x (+.f64 x (/.f64 y #s(literal -500 binary64))))) (/.f64 (/.f64 y (/.f64 #s(literal 250000 binary64) y)) (+.f64 x (/.f64 y #s(literal -500 binary64)))))
(-.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 (/.f64 y (/.f64 #s(literal 250000 binary64) y)) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(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 (/.f64 y (/.f64 #s(literal 250000 binary64) y)) (+.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 #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 y (/.f64 #s(literal -250000 binary64) y)))) (+.f64 x (/.f64 y #s(literal 500 binary64))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 250000 binary64) y)) (+.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 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 #s(literal 250000 binary64) y)) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
(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 y (/.f64 #s(literal -250000 binary64) y))) (-.f64 #s(literal 0 binary64) (+.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 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 #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 #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 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 (.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 (.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 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal -500 binary64))))))
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(/.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))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.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))
(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)))

simplify304.0ms (10.7%)

Memory

-57.9MiB live, 321.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`/-lowering-/.f32`
4 188×	`/-lowering-/.f64`
3 666×	`associate-/r*`
2 352×	`accelerator-lowering-fma.f32`
2 352×	`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)

eval21.0ms (0.8%)

Memory: 5.5MiB live, 46.5MiB allocated
Compiler: Compiled 4 080 to 426 computations (89.6% saved)

prune20.0ms (0.7%)

Memory

11.5MiB live, 49.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	186	4	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	5	191

Accuracy

100.0%

Counts

191 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	99.8%	(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	51.4%	(*.f64 #s(literal 1/500 binary64) y)
▶	50.1%	x

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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 1/500 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
✓	cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	9	25
0	9	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize31.0ms (1.1%)

Memory

-8.1MiB live, 67.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
✓	accuracy	99.7%	(*.f64 #s(literal 1/500 binary64) y)
✓	accuracy	99.7%	(*.f64 #s(literal 1/500 binary64) y)

Samples

22.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

const: 4.0ms (40.7% of total)

ival-add: 3.0ms (30.5% of total)

ival-mult: 3.0ms (30.5% of total)

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

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

series1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

15 calls:

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

rewrite619.0ms (21.8%)

Memory

21.2MiB live, 980.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`accelerator-lowering-fma.f32`
18 200×	`accelerator-lowering-fma.f64`
4 320×	`-lowering-.f32`
4 320×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	35	13
2	167	13
3	1502	13
0	8278	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 432

Calls

Call 1

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

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

simplify308.0ms (10.8%)

Memory

-16.0MiB live, 299.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`/-lowering-/.f32`
4 188×	`/-lowering-/.f64`
3 610×	`associate-/r*`
2 352×	`accelerator-lowering-fma.f32`
2 352×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	240
1	64	240
2	141	240
3	395	240
4	1103	240
5	2528	240
6	3417	240
7	4291	240
8	4767	240
9	4942	240
10	5032	240
11	5730	240
12	6046	240
13	6050	240
14	6050	240
15	6050	240
0	8061	204

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

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

eval56.0ms (2%)

Memory: 18.3MiB live, 133.9MiB allocated
Compiler: Compiled 17 290 to 535 computations (96.9% saved)

prune39.0ms (1.4%)

Memory

-26.5MiB live, 104.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	514	0	514
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	514	5	519

Accuracy

100.0%

Counts

519 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.8%	(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	51.4%	(*.f64 #s(literal 1/500 binary64) y)
✓	50.1%	x

Compiler

Compiled 48 to 29 computations (39.6% saved)

regimes10.0ms (0.4%)

Memory

-11.6MiB live, 27.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.4%	5	`x`
81.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.7%)

Memory

-8.0MiB live, 29.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.8433687044342264e-64	4.239640194950402e-62
8.0ms	-5.51415816153473e-98	-1.5841136524639783e-101

Samples

10.0ms

240×

valid

Compiler

Compiled 160 to 130 computations (18.8% saved)

Precisions

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

ival-div: 2.0ms (59% of total)

ival-add: 1.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	18	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -4232637384378313/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (*.f64 #s(literal 1/500 binary64) y) (if (<=.f64 y #s(literal 8800198782036031/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) x (*.f64 #s(literal 1/500 binary64) y)))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(if (<=.f64 y #s(literal -4232637384378313/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (.f64 #s(literal 1/500 binary64) y) (if (<=.f64 y #s(literal 8800198782036031/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) x (.f64 #s(literal 1/500 binary64) y)))
(if (<=.f64 y #s(literal -4232637384378313/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (.f64 y #s(literal 1/500 binary64)) (if (<=.f64 y #s(literal 8800198782036031/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) x (.f64 y #s(literal 1/500 binary64))))
x

soundness474.0ms (16.7%)

Memory

-12.4MiB live, 103.5MiB allocated

Rules

4 188×	`/-lowering-/.f32`
4 188×	`/-lowering-/.f64`
3 666×	`associate-/r*`
2 352×	`accelerator-lowering-fma.f32`
2 352×	`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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 34 to 21 computations (38.2% saved)

preprocess40.0ms (1.4%)

Memory: 20.0MiB live, 102.5MiB allocated
Compiler: Compiled 60 to 36 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample486.0ms (17.1%)

preprocess21.0ms (0.7%)

explain56.0ms (2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series6.0ms (0.2%)

rewrite296.0ms (10.4%)

simplify304.0ms (10.7%)

eval21.0ms (0.8%)

prune20.0ms (0.7%)

simplify5.0ms (0.2%)

localize31.0ms (1.1%)

series1.0ms (0%)

rewrite619.0ms (21.8%)

simplify308.0ms (10.8%)

eval56.0ms (2%)

prune39.0ms (1.4%)

regimes10.0ms (0.4%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.7%)

simplify8.0ms (0.3%)

soundness474.0ms (16.7%)

preprocess40.0ms (1.4%)

end0.0ms (0%)

Profiling