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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample932.0ms (27.3%)

Memory

-145.6MiB live, 879.6MiB allocated

Samples

739.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-div: 491.0ms (89.5% of total)

ival-add: 44.0ms (8% of total)

ival-true: 5.0ms (0.9% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess19.0ms (0.6%)

Memory

0.7MiB live, 37.6MiB 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))

explain58.0ms (1.7%)

Memory

-22.6MiB live, 131.7MiB 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

23.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (54.5% of total)

ival-add: 2.0ms (27.2% 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)

prune1.0ms (0%)

Memory

1.7MiB live, 1.6MiB 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

9.2MiB live, 9.2MiB 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)

localize17.0ms (0.5%)

Memory

6.1MiB live, 42.9MiB 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

12.0ms

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 (56% of total)

ival-add: 1.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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
1.0ms	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))

rewrite591.0ms (17.3%)

Memory

8.7MiB live, 569.4MiB 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 (-.f64 #s(literal 0 binary64) 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) (-.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 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 (-.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 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 (-.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 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/500 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/125000000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (.f64 y (.f64 #s(literal 1/250000 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (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)))
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(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.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 (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) 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) (-.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 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 (-.f64 #s(literal 0 binary64) 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 (-.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)))

simplify297.0ms (8.7%)

Memory

-33.8MiB live, 291.3MiB 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)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(+ 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)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 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)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* -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)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(* 1/500 y)
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))

eval22.0ms (0.6%)

Memory: 9.1MiB live, 44.5MiB allocated
Compiler: Compiled 3 834 to 418 computations (89.1% saved)

prune21.0ms (0.6%)

Memory

21.0MiB live, 59.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accuracy

100.0%

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	99.9%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	54.9%	x

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify13.0ms (0.4%)

Memory

-17.4MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
✓	cost-diff	-64	(*.f64 y #s(literal -1/500 binary64))
✓	cost-diff	192	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	16	20
2	25	20
3	35	20
4	46	20
5	63	20
6	99	20
7	129	20
8	161	20
9	185	20
10	199	20
0	199	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (1%)

Memory

19.6MiB live, 62.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.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))

Samples

21.0ms

256×

valid

Compiler

Compiled 21 to 10 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 6.0ms (48.4% of total)

ival-mult: 3.0ms (24.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

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

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

series1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 60

Calls

Call 1

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

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)>
#<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	x	@	0	(- x (* y -1/500))
0.0ms	y	@	0	(- x (* y -1/500))
0.0ms	y	@	0	(* y -1/500)
0.0ms	x	@	inf	(- x (* y -1/500))
0.0ms	x	@	-inf	(- x (* y -1/500))

rewrite442.0ms (12.9%)

Memory

-2.4MiB live, 706.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 602×	`accelerator-lowering-fma.f32`
7 602×	`accelerator-lowering-fma.f64`
4 126×	`-lowering-.f32`
4 126×	`-lowering-.f64`
3 864×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	39	13
2	330	13
3	3372	13
0	8954	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 465

Calls

Call 1

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

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

simplify272.0ms (7.9%)

Memory

2.8MiB live, 351.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 744×	`-lowering-.f32`
2 744×	`-lowering-.f64`
2 716×	`accelerator-lowering-fma.f32`
2 716×	`accelerator-lowering-fma.f64`
2 640×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	240
1	69	240
2	148	240
3	425	240
4	1224	240
5	2407	240
6	3193	240
7	3540	240
8	3853	240
9	4028	240
10	5320	240
11	6160	240
12	7008	240
13	7310	240
0	8216	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

eval69.0ms (2%)

Memory: -34.5MiB live, 148.9MiB allocated
Compiler: Compiled 20 896 to 732 computations (96.5% saved)

prune59.0ms (1.7%)

Memory

-3.9MiB live, 82.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	525	0	525
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	525	4	529

Accuracy

100.0%

Counts

529 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.9%	(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	54.9%	x

Compiler

Compiled 40 to 26 computations (35% saved)

regimes9.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(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)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Memory

-12.4MiB live, 26.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(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:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
99.9%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB 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	(/.f64 y #s(literal 500 binary64))
1.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`y`
54.9%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
54.9%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify9.0ms (0.2%)

Memory

-17.5MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

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)
x

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

soundness481.0ms (14.1%)

Memory

-7.9MiB live, 147.2MiB 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	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
0	5	8
1	29	8
2	233	8
3	3689	8
0	8285	7

Stop Event

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

preprocess52.0ms (1.5%)

Memory: 20.5MiB live, 98.6MiB allocated
Compiler: Compiled 38 to 24 computations (36.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	20
1	16	20
2	25	20
3	35	20
4	46	20
5	63	20
6	99	20
7	129	20
8	161	20
9	185	20
10	199	20
0	199	18

Iter	Nodes	Cost
0	8	20
1	16	20
2	25	20
3	35	20
4	46	20
5	63	20
6	99	20
7	129	20
8	161	20
9	185	20
10	199	20
0	199	18

analyze0.0ms (0%)

sample932.0ms (27.3%)

preprocess19.0ms (0.6%)

explain58.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite591.0ms (17.3%)

simplify297.0ms (8.7%)

eval22.0ms (0.6%)

prune21.0ms (0.6%)

simplify13.0ms (0.4%)

localize33.0ms (1%)

series1.0ms (0%)

rewrite442.0ms (12.9%)

simplify272.0ms (7.9%)

eval69.0ms (2%)

prune59.0ms (1.7%)

regimes9.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

simplify9.0ms (0.2%)

soundness481.0ms (14.1%)

preprocess52.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	20
1	16	20
2	25	20
3	35	20
4	46	20
5	63	20
6	99	20
7	129	20
8	161	20
9	185	20
10	199	20
0	199	18