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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample526.0ms (15%)

Memory

35.7MiB live, 1 040.8MiB allocated

Samples

358.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 78.0ms (60.5% of total)

ival-add: 40.0ms (31% of total)

ival-true: 5.0ms (3.9% of total)

exact: 4.0ms (3.1% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess29.0ms (0.8%)

Memory

-45.3MiB live, 61.0MiB 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))

explain68.0ms (1.9%)

Memory

24.7MiB live, 103.7MiB 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

19.0ms

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

4.5MiB live, 4.5MiB 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)

localize29.0ms (0.8%)

Memory

-12.7MiB live, 26.3MiB 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

23.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-add: 14.0ms (82.8% of total)

ival-div: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

5.0MiB 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
0.0ms	y	@	-inf	(/ y 500)
0.0ms	y	@	inf	(+ x (/ y 500))
0.0ms	y	@	inf	(/ y 500)
0.0ms	x	@	inf	(+ x (/ y 500))
0.0ms	x	@	0	(+ x (/ y 500))

rewrite260.0ms (7.4%)

Memory

14.7MiB live, 443.8MiB 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 1/500 binary64)))
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x)
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(-.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))
(-.f64 (/.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 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 -1/500 binary64)) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 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 (neg.f64 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 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 y #s(literal 1/500 binary64)) (fma.f64 y #s(literal 1/500 binary64) x) (.f64 x x)) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (exp.f64 (log.f64 (neg.f64 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 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 y #s(literal -1/500 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x) (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y))))) (.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 y #s(literal -1/500 binary64) x)) (.f64 (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))) (.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/15625000000000000 binary64) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (neg.f64 (.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 x x (.f64 y (.f64 #s(literal 1/250000 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x))) (neg.f64 (-.f64 (.f64 y #s(literal 1/500 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64)) (.f64 x (.f64 x x))))))))
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(/.f64 y #s(literal 500 binary64))
(/.f64 (neg.f64 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 (neg.f64 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 (neg.f64 (log.f64 (*.f64 y #s(literal -1/500 binary64))))))
(pow.f64 (*.f64 y #s(literal 1/500 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 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64)))))
(*.f64 y #s(literal 1/500 binary64))
(.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/500 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 -1/500 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 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 (neg.f64 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 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 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 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 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)))

simplify270.0ms (7.7%)

Memory

-14.6MiB live, 260.2MiB 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))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.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)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.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)

eval29.0ms (0.8%)

Memory: 7.0MiB live, 43.8MiB allocated
Compiler: Compiled 3 782 to 417 computations (89% saved)

prune32.0ms (0.9%)

Memory

-4.2MiB live, 72.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	5	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	6	191

Accuracy

100.0%

Counts

191 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	52.6%	(/.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))
▶	99.8%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	47.9%	(*.f64 #s(literal 1/500 binary64) y)
▶	51.9%	x

Compiler

Compiled 83 to 57 computations (31.3% saved)

simplify80.0ms (2.3%)

Memory

22.4MiB live, 99.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/250000 binary64) y)
✓	cost-diff	0	(.f64 y (.f64 #s(literal 1/250000 binary64) y))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))
✓	cost-diff	0	(*.f64 y #s(literal -1/500 binary64))
✓	cost-diff	128	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)
✓	cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)

Rules

952×	`accelerator-lowering-fma.f32`
952×	`accelerator-lowering-fma.f64`
640×	`-lowering-.f32`
640×	`-lowering-.f64`
506×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	35	72
2	61	72
3	118	72
4	301	72
5	780	72
6	1763	72
7	1928	72
8	1979	72
9	2008	72
10	2008	72
11	2080	72
12	2521	72
0	2521	68

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize62.0ms (1.8%)

Memory

-6.5MiB live, 152.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 y #s(literal 1/500 binary64))
✓	accuracy	99.6%	(*.f64 #s(literal 1/250000 binary64) y)
✓	accuracy	95.7%	(-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x))
✓	accuracy	52.9%	(/.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))
✓	accuracy	100.0%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	accuracy	99.7%	(*.f64 y #s(literal -1/500 binary64))
✓	accuracy	99.7%	(*.f64 #s(literal 1/500 binary64) y)
✓	accuracy	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)

Samples

40.0ms

256×

valid

Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.7% of total)

const: 9.0ms (35.7% of total)

ival-sub: 4.0ms (15.9% of total)

ival-div: 2.0ms (7.9% of total)

ival-add: 1.0ms (4% of total)

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

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

series7.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

9 → 156

Calls

Call 1

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

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

39 calls:

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

rewrite551.0ms (15.7%)

Memory

-51.4MiB live, 966.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 022×	`accelerator-lowering-fma.f32`
13 022×	`accelerator-lowering-fma.f64`
5 800×	`-lowering-.f32`
5 800×	`-lowering-.f64`
3 858×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	83	41
2	741	41
0	8822	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 1 509

Calls

Call 1

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

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

simplify464.0ms (13.2%)

Memory

8.7MiB live, 529.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 322×	`accelerator-lowering-fma.f32`
11 322×	`accelerator-lowering-fma.f64`
4 184×	`-lowering-.f32`
4 184×	`-lowering-.f64`
2 756×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	699
1	108	699
2	255	699
3	818	699
4	2904	699
5	6527	699
0	8230	645

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(- x (* -1/500 y))
(- x (* -1/500 y))
(- x (* -1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
(* -1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (pow x 2))
(- (* 1/250000 (pow y 2)) (pow x 2))
(- (* 1/250000 (pow y 2)) (pow x 2))
(- (* 1/250000 (pow y 2)) (pow x 2))
(* 1/250000 (pow y 2))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/250000 (pow y 2))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 (pow y 2))
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 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
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.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)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.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)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(- x (* -1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(- x (* -1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(- x (* -1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.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)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
(* -1/500 y)
(*.f64 y #s(literal -1/500 binary64))
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.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)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (* 1/250000 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(- (* 1/250000 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(- (* 1/250000 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal 1/250000 binary64))))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/250000 binary64)))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 1/250000 y)
(*.f64 y #s(literal 1/250000 binary64))
(* 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)

eval230.0ms (6.5%)

Memory: 25.3MiB live, 439.9MiB allocated
Compiler: Compiled 55 266 to 1 475 computations (97.3% saved)

prune100.0ms (2.8%)

Memory

-19.1MiB live, 195.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1 665	0	1 665
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 665	6	1 671

Accuracy

100.0%

Counts

1 671 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	52.6%	(/.f64 (-.f64 (.f64 y (.f64 #s(literal 1/250000 binary64) y)) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/500 binary64)) x))
✓	99.8%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	47.9%	(*.f64 #s(literal 1/500 binary64) y)
✓	51.9%	x

Compiler

Compiled 80 to 50 computations (37.5% saved)

regimes11.0ms (0.3%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes12.0ms (0.3%)

Memory

-21.5MiB live, 16.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.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
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
99.8%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB 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

4 calls:

2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	x
2.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
73.9%	3	`x`
76.6%	3	`y`
57.8%	3	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
76.6%	3	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

1.0ms	x
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
51.9%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
51.9%	1	`x`
51.9%	1	`y`
51.9%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1249347014213953e+41	1.846793357699833e+51
0.0ms	-17384215779279734.0	-175859691848774.28

Compiler

Compiled 10 to 10 computations (0% saved)

simplify116.0ms (3.3%)

Memory

-23.8MiB live, 15.2MiB 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	14	27
1	19	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
(if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -10000000000000000 binary64)) (.f64 #s(literal 1/500 binary64) y) (if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 200000000000000001240017290081556638990336 binary64)) x (.f64 #s(literal 1/500 binary64) y)))
x

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
(if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -10000000000000000 binary64)) (.f64 #s(literal 1/500 binary64) y) (if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 200000000000000001240017290081556638990336 binary64)) x (.f64 #s(literal 1/500 binary64) y)))
(if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -10000000000000000 binary64)) (.f64 y #s(literal 1/500 binary64)) (if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 200000000000000001240017290081556638990336 binary64)) x (.f64 y #s(literal 1/500 binary64))))
x

soundness586.0ms (16.7%)

Memory

19.4MiB live, 257.6MiB allocated

Rules

4 188×	`/-lowering-/.f32`
4 188×	`/-lowering-/.f64`
3 666×	`associate-/r*`
3 588×	`/-lowering-/.f32`
3 588×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	8
2	233	8
3	3689	8
0	8285	7
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
1×	iter limit
1×	node limit

Compiler

Compiled 48 to 26 computations (45.8% saved)

preprocess29.0ms (0.8%)

Memory: -9.4MiB live, 67.5MiB allocated
Compiler: Compiled 76 to 38 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample526.0ms (15%)

preprocess29.0ms (0.8%)

explain68.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize29.0ms (0.8%)

series2.0ms (0.1%)

rewrite260.0ms (7.4%)

simplify270.0ms (7.7%)

eval29.0ms (0.8%)

prune32.0ms (0.9%)

simplify80.0ms (2.3%)

localize62.0ms (1.8%)

series7.0ms (0.2%)

rewrite551.0ms (15.7%)

simplify464.0ms (13.2%)

eval230.0ms (6.5%)

prune100.0ms (2.8%)

regimes11.0ms (0.3%)

regimes12.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

simplify116.0ms (3.3%)

soundness586.0ms (16.7%)

preprocess29.0ms (0.8%)

end0.0ms (0%)

Profiling