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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample585.0ms (13.4%)

Memory

-22.1MiB live, 831.8MiB allocated

Samples

351.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 79.0ms (60.4% of total)

ival-add: 38.0ms (29% of total)

ival-true: 6.0ms (4.6% of total)

exact: 4.0ms (3.1% of total)

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

Bogosity

preprocess22.0ms (0.5%)

Memory

-11.3MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg`
40×	`distribute-lft-neg-in`
34×	`cancel-sign-sub`
26×	`*-commutative`
24×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	32	25
2	74	25
3	176	25
4	245	25
5	294	25
6	301	25
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain54.0ms (1.2%)

Memory

3.7MiB live, 119.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(-6.606121455626675e+232 4.0954833562501936e+217)	`(/.f64 y #s(literal 500 binary64))`
256	-	256	(-6.606121455626675e+232 4.0954833562501936e+217)	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 500 binary64)`
0	-	0	-	`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

22.0ms

512×

valid

Compiler

Compiled 53 to 29 computations (45.3% saved)

Precisions

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

ival-div: 5.0ms (56.9% of total)

ival-add: 2.0ms (22.8% of total)

ival-true: 1.0ms (11.4% 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

1.0MiB live, 1.0MiB 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

5.2MiB live, 5.2MiB 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×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-15.2MiB live, 26.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	13.8%	(/.f64 y #s(literal 500 binary64))
✓	accuracy	3.1%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (44.4% of total)

ival-add: 2.0ms (44.4% 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

3.7MiB live, 3.7MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 y #s(literal 500 binary64)))>
#<alt (/.f64 y #s(literal 500 binary64))>

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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

9 calls:

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

Compiler

Compiled 62 to 47 computations (24.2% saved)

rewrite228.0ms (5.2%)

Memory

43.0MiB live, 309.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 588×	`lower-/.f32`
3 586×	`lower-/.f64`
3 556×	`lower-fma.f64`
3 556×	`lower-fma.f32`
2 998×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

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

Counts

2 → 154

Calls

Call 1

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

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

simplify259.0ms (5.9%)

Memory

-16.0MiB live, 273.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 604×	`associate-/r*`
2 352×	`lower-fma.f64`
2 352×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
1	66	126
2	142	126
3	395	126
4	1144	126
5	2656	126
6	3593	126
7	4492	126
8	4964	126
9	5139	126
10	5229	126
11	5891	126
12	6191	126
13	6193	126
14	6193	126
15	6193	126
0	8207	108

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 29

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)
y
y
y
y
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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)
y
y
y
y
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval34.0ms (0.8%)

Memory: -29.4MiB live, 48.3MiB allocated
Compiler: Compiled 3 755 to 416 computations (88.9% saved)

prune21.0ms (0.5%)

Memory

11.3MiB live, 49.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	180	3	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	4	184

Accuracy

100.0%

Counts

184 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	54.1%	(+.f64 x (neg.f64 y))
▶	44.3%	(*.f64 #s(literal 1/500 binary64) y)

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify14.0ms (0.3%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

176×	`lower-fma.f32`
174×	`lower-fma.f64`
96×	`lower-*.f32`
94×	`lower-*.f64`
56×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	12	19
1	19	19
2	25	19
3	33	19
4	54	19
5	87	19
6	117	19
7	180	19
8	221	19
9	262	19
10	267	19
11	269	19
0	269	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.7%)

Memory

1.4MiB live, 72.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	8.1%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	accuracy	45.1%	(+.f64 x (neg.f64 y))
✓	accuracy	3.4%	(neg.f64 y)
✓	accuracy	2.4%	(*.f64 #s(literal 1/500 binary64) y)

Samples

24.0ms

256×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 5.0ms (35.9% of total)

const: 4.0ms (28.7% of total)

ival-mult: 3.0ms (21.6% of total)

ival-neg: 1.0ms (7.2% of total)

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

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

series10.0ms (0.2%)

Memory

-32.7MiB live, 12.1MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(+ (* y 1/500) x)
0.0ms	x	@	-inf	(+ (* y 1/500) x)
0.0ms	y	@	-inf	(+ (* y 1/500) x)
0.0ms	y	@	inf	(* 1/500 y)
0.0ms	y	@	inf	(+ (* y 1/500) x)

Compiler

Compiled 113 to 83 computations (26.5% saved)

rewrite335.0ms (7.7%)

Memory

22.4MiB live, 425.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 804×	`lower-fma.f32`
4 802×	`lower-fma.f64`
4 026×	`lower-*.f32`
4 024×	`lower-*.f64`
2 392×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	12	12
1	42	12
2	311	12
3	3229	11
0	9133	11

Stop Event

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

Counts

4 → 289

Calls

Call 1

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

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

simplify292.0ms (6.7%)

Memory

-23.5MiB live, 382.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
2 172×	`lower-*.f64`
2 172×	`lower-*.f32`
1 692×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	213
1	108	213
2	271	213
3	711	213
4	1730	213
5	2759	213
6	3866	213
7	4411	213
8	4716	213
9	4808	213
10	6673	213
0	8455	195

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 62

Calls

Call 1

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

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

eval38.0ms (0.9%)

Memory: 20.0MiB live, 95.4MiB allocated
Compiler: Compiled 7 168 to 789 computations (89% saved)

prune41.0ms (0.9%)

Memory

-22.0MiB live, 98.5MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	350	5	355

Accuracy

100.0%

Counts

355 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	59.7%	(+.f64 y x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	44.3%	(*.f64 #s(literal 1/500 binary64) y)
▶	2.6%	(neg.f64 y)

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify9.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(neg.f64 y)

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	11	8
2	13	8
3	15	8
4	17	8
5	21	8
6	32	8
7	50	8
8	55	8
9	72	8
10	99	8
11	114	8
12	126	8
0	126	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 y)
y
(+.f64 y x)
y
x

Outputs
(neg.f64 y)
y
(+.f64 y x)
y
x

localize33.0ms (0.8%)

Memory

-14.0MiB live, 24.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	44.9%	(+.f64 y x)
✓	accuracy	2.5%	(neg.f64 y)

Samples

8.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-add: 1.0ms (37.5% of total)

ival-neg: 1.0ms (37.5% of total)

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

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

series2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (neg.f64 y)>
#<alt (+.f64 y x)>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ y x)
0.0ms	y	@	-inf	(+ y x)
0.0ms	y	@	inf	(neg y)
0.0ms	y	@	-inf	(neg y)
0.0ms	x	@	-inf	(+ y x)

Compiler

Compiled 50 to 35 computations (30% saved)

rewrite750.0ms (17.2%)

Memory

34.8MiB live, 385.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 584×	`lower-fma.f64`
5 584×	`lower-fma.f32`
4 356×	`lower-/.f64`
4 356×	`lower-/.f32`
3 632×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	6	5
1	24	5
2	145	5
3	1363	5
0	8654	5

Stop Event

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

Counts

2 → 171

Calls

Call 1

Inputs
(neg.f64 y)
(+.f64 y x)

Outputs
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (.f64 y (.f64 y y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (*.f64 y y) (-.f64 (neg.f64 y) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 y (.f64 y (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 y) (.f64 y y) #s(literal 0 binary64)) (fma.f64 y y (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 (.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(+.f64 y x)
(+.f64 x y)
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 y (neg.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x))))) (-.f64 y x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x))))) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (-.f64 y x) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 y x) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x)))))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) (/.f64 (.f64 (-.f64 y x) (.f64 x x)) (.f64 (-.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x))))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x)))) (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x)))) (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 y x) (.f64 y y)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(neg.f64 (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y y (.f64 x (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 y y (.f64 x (-.f64 x y)))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (neg.f64 y) x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 (neg.f64 y) y) y)))) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (*.f64 (neg.f64 y) y) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 (neg.f64 y) y) y))))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 y x) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 (neg.f64 y) y) y)))) (fma.f64 y y (.f64 x (-.f64 x y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)) (fma.f64 y y (.f64 x (-.f64 x y)))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x)))) (-.f64 y x)) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (-.f64 y x)) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x))))) (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x))))) (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (.f64 (.f64 x x) (*.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x))) (.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 (neg.f64 y) y) y)))) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 y y (.f64 x (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)) (/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x)))) (/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y y (.f64 x x))) (-.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x)) (fma.f64 y y (.f64 x (-.f64 x y)))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x)))) (-.f64 y x)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 (-.f64 y x) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (fma.f64 y y (.f64 x x))))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y y (.f64 x x))) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
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simplify329.0ms (7.5%)

Memory

-36.6MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
3 112×	`lower-/.f32`
3 112×	`lower-/.f64`
2 108×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	59	84
2	128	84
3	398	84
4	1128	84
5	2031	84
6	2564	84
7	3255	84
8	3603	84
9	3809	84
10	3885	84
11	5349	84
12	5950	84
13	6144	84
14	6928	84
15	7893	84
0	8299	84

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 30

Calls

Call 1

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

Outputs
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

eval32.0ms (0.7%)

Memory: 1.9MiB live, 38.3MiB allocated
Compiler: Compiled 5 336 to 443 computations (91.7% saved)

prune57.0ms (1.3%)

Memory

18.5MiB live, 56.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	201	5	206

Accuracy

100.0%

Counts

206 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	59.7%	(+.f64 y x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	44.3%	(*.f64 #s(literal 1/500 binary64) y)
✓	2.6%	(neg.f64 y)

Compiler

Compiled 50 to 30 computations (40% saved)

regimes18.0ms (0.4%)

Memory

-12.7MiB live, 29.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
3.0ms	(/.f64 y #s(literal 500 binary64))
3.0ms	x
3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))

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)

regimes10.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes11.0ms (0.2%)

Memory

-11.8MiB live, 25.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	x
2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
79.5%	3	`x`
78.6%	3	`y`
59.7%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
78.6%	3	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.7%	1	`y`
59.7%	1	`(/.f64 y #s(literal 500 binary64))`
59.7%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.2%)

Memory

-20.0MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 y)

Outputs
(neg.f64 y)

Calls

4 calls:

3.0ms	y
1.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
2.6%	1	`x`
2.6%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
2.6%	1	`y`
2.6%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch25.0ms (0.6%)

Memory

29.5MiB live, 66.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.942469657888312e-24	1.640780825682578e-11
10.0ms	-9.917440428151069e-6	-2.8114897686884338e-11

Samples

11.0ms

304×

valid

Compiler

Compiled 238 to 181 computations (23.9% saved)

Precisions

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

ival-div: 3.0ms (68.1% of total)

ival-add: 1.0ms (22.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.4%)

Memory

-16.8MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	23	31
2	25	31
3	26	31

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 x #s(literal -7156840852118605/38685626227668133590597632 binary64)) (+.f64 y x) (if (<=.f64 x #s(literal 7269215601948759/20769187434139310514121985316880384 binary64)) (*.f64 #s(literal 1/500 binary64) y) (+.f64 y x)))
(+.f64 y x)
(neg.f64 y)

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
(if (<=.f64 x #s(literal -7156840852118605/38685626227668133590597632 binary64)) (+.f64 y x) (if (<=.f64 x #s(literal 7269215601948759/20769187434139310514121985316880384 binary64)) (*.f64 #s(literal 1/500 binary64) y) (+.f64 y x)))
(if (<=.f64 x #s(literal -7156840852118605/38685626227668133590597632 binary64)) (+.f64 x y) (if (<=.f64 x #s(literal 7269215601948759/20769187434139310514121985316880384 binary64)) (*.f64 y #s(literal 1/500 binary64)) (+.f64 x y)))
(+.f64 y x)
(+.f64 x y)
(neg.f64 y)

soundness1.0s (24%)

Memory

-21.8MiB live, 545.0MiB allocated

Rules

8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
4 804×	`lower-fma.f32`
4 802×	`lower-fma.f64`
4 188×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7
0	7	13
0	12	12
1	42	12
2	311	12
3	3229	11
0	9133	11
0	37	213
1	108	213
2	271	213
3	711	213
4	1730	213
5	2759	213
6	3866	213
7	4411	213
8	4716	213
9	4808	213
10	6673	213
0	8455	195
0	24	126
1	66	126
2	142	126
3	395	126
4	1144	126
5	2656	126
6	3593	126
7	4492	126
8	4964	126
9	5139	126
10	5229	126
11	5891	126
12	6191	126
13	6193	126
14	6193	126
15	6193	126
0	8207	108

Stop Event

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

Compiler

Compiled 69 to 43 computations (37.7% saved)

preprocess30.0ms (0.7%)

Memory: 34.0MiB live, 72.9MiB allocated
Compiler: Compiled 80 to 42 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	20
0	12	19
1	19	19
2	25	19
3	33	19
4	54	19
5	87	19
6	117	19
7	180	19
8	221	19
9	262	19
10	267	19
11	269	19
0	269	19

Iter	Nodes	Cost
0	4	8
0	6	8
1	11	8
2	13	8
3	15	8
4	17	8
5	21	8
6	32	8
7	50	8
8	55	8
9	72	8
10	99	8
11	114	8
12	126	8
0	126	8

Iter	Nodes	Cost
0	7	20
0	12	19
1	19	19
2	25	19
3	33	19
4	54	19
5	87	19
6	117	19
7	180	19
8	221	19
9	262	19
10	267	19
11	269	19
0	269	19

Iter	Nodes	Cost
0	4	8
0	6	8
1	11	8
2	13	8
3	15	8
4	17	8
5	21	8
6	32	8
7	50	8
8	55	8
9	72	8
10	99	8
11	114	8
12	126	8
0	126	8

analyze0.0ms (0%)

sample585.0ms (13.4%)

preprocess22.0ms (0.5%)

explain54.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.4%)

series2.0ms (0.1%)

rewrite228.0ms (5.2%)

simplify259.0ms (5.9%)

eval34.0ms (0.8%)

prune21.0ms (0.5%)

simplify14.0ms (0.3%)

localize32.0ms (0.7%)

series10.0ms (0.2%)

rewrite335.0ms (7.7%)

simplify292.0ms (6.7%)

eval38.0ms (0.9%)

prune41.0ms (0.9%)

simplify9.0ms (0.2%)

localize33.0ms (0.8%)

series2.0ms (0%)

rewrite750.0ms (17.2%)

simplify329.0ms (7.5%)

eval32.0ms (0.7%)

prune57.0ms (1.3%)

regimes18.0ms (0.4%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch25.0ms (0.6%)

simplify15.0ms (0.4%)

soundness1.0s (24%)

preprocess30.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	20
0	12	19
1	19	19
2	25	19
3	33	19
4	54	19
5	87	19
6	117	19
7	180	19
8	221	19
9	262	19
10	267	19
11	269	19
0	269	19

Iter	Nodes	Cost
0	4	8
0	6	8
1	11	8
2	13	8
3	15	8
4	17	8
5	21	8
6	32	8
7	50	8
8	55	8
9	72	8
10	99	8
11	114	8
12	126	8
0	126	8