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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample801.0ms (24.1%)

Memory

20.2MiB live, 765.5MiB allocated

Samples

446.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 71.0ms (58% of total)

ival-add: 39.0ms (31.9% of total)

ival-true: 5.0ms (4.1% of total)

exact: 4.0ms (3.3% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

explain50.0ms (1.5%)

Memory

6.0MiB live, 118.2MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`y`
2	(1274.2705422072165 -1.6042325022016803e+308)	-	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
0	-	-	`#s(literal 500 binary64)`
0	-	-	`(/.f64 y #s(literal 500 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`	oflow-right	2	0

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 46 to 27 computations (41.3% 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 (27.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.7%)

Memory

12.1MiB live, 54.7MiB 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)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.2%)

Memory

-20.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Rules

4×	`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)

localize16.0ms (0.5%)

Memory

10.0MiB live, 48.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	0.00390625	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 3.0ms (61.2% of total)

ival-add: 1.0ms (20.4% 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

9.4MiB live, 9.4MiB 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 (* 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))

simplify249.0ms (7.5%)

Memory

-21.0MiB live, 311.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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 → 33

Calls

Call 1

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

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

rewrite325.0ms (9.8%)

Memory

23.9MiB live, 371.8MiB allocated

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

eval22.0ms (0.7%)

Memory: -3.0MiB live, 38.3MiB allocated
Compiler: Compiled 3 812 to 415 computations (89.1% saved)

prune21.0ms (0.6%)

Memory

19.6MiB live, 55.4MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	3	188

Accuracy

100.0%

Counts

188 → 3

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)))
▶	54.3%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify5.0ms (0.2%)

Memory

-28.3MiB live, 11.1MiB 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	0	(*.f64 #s(literal 1/500 binary64) y)
cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Rules

8×	`lower-+.f64`
8×	`lower-+.f32`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	12	21
1	15	21
0	15	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.8%)

Memory

25.4MiB live, 64.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.16796875	(*.f64 #s(literal 1/500 binary64) y)
accuracy	29.16274261034301	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

19.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

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

ival-add: 3.0ms (26% of total)

ival-mult: 3.0ms (26% of total)

const: 3.0ms (26% of total)

ival-div: 2.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt #s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))>
#<alt (*.f64 #s(literal 1/500 binary64) y)>
#<alt (fma.f64 y #s(literal 1/500 binary64) 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	y	@	-inf	(+ (* y 1/500) x)
0.0ms	y	@	inf	(* 1/500 y)
0.0ms	y	@	inf	(+ (* y 1/500) x)
0.0ms	x	@	0	(+ x (/ y 500))
0.0ms	y	@	-inf	(* 1/500 y)

simplify276.0ms (8.3%)

Memory

-18.8MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	240
1	64	240
2	141	240
3	398	240
4	1108	240
5	2539	240
6	3437	240
7	4311	240
8	4789	240
9	4964	240
10	5054	240
11	5752	240
12	6068	240
13	6070	240
14	6070	240
15	6070	240
0	8131	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

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

rewrite294.0ms (8.8%)

Memory

14.3MiB live, 527.8MiB allocated

Rules

8 108×	`lower-fma.f32`
8 106×	`lower-fma.f64`
4 310×	`lower-*.f32`
4 308×	`lower-*.f64`
2 058×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	12	15
1	48	15
2	342	15
3	6037	15
0	8311	15

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

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

eval28.0ms (0.8%)

Memory: -29.2MiB live, 52.7MiB allocated
Compiler: Compiled 4 223 to 384 computations (90.9% saved)

prune21.0ms (0.6%)

Memory

13.5MiB live, 52.5MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	0	2	2
Done	1	0	1
Total	207	3	210

Accuracy

100.0%

Counts

210 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	54.4%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	54.3%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Rules

4×	`lower-+.f64`
4×	`lower-+.f32`
2×	`lift-/.f64`
2×	`lower-/.f32`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	9	14
0	9	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (1%)

Memory

-8.6MiB live, 29.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	29.16274261034301	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

29.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-div: 2.0ms (51.2% of total)

ival-add: 1.0ms (25.6% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

2 → 36

Calls

Call 1

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

Calls

9 calls:

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

simplify252.0ms (7.6%)

Memory

15.3MiB live, 325.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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 → 33

Calls

Call 1

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

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

rewrite311.0ms (9.4%)

Memory

2.9MiB live, 378.8MiB allocated

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	7	12
0	8	12
1	32	12
2	236	12
3	3707	12
0	8296	11

Stop Event

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

Counts

2 → 41

Calls

Call 1

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

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

eval14.0ms (0.4%)

Memory: -24.9MiB live, 14.2MiB allocated
Compiler: Compiled 462 to 94 computations (79.7% saved)

prune7.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Accuracy

100.0%

Counts

77 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	54.4%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	54.3%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes9.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes33.0ms (1%)

Memory

-25.2MiB live, 13.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	(+.f64 x (/.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)

regimes5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.3%	1	`x`
54.3%	1	`y`
54.3%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
54.3%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18

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

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

soundness429.0ms (12.9%)

Memory

-23.7MiB live, 96.8MiB allocated

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 666×	`associate-/r*`
3 588×	`lower-/.f32`
3 586×	`lower-/.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
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess45.0ms (1.3%)

Memory: 9.6MiB live, 48.0MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample801.0ms (24.1%)

explain50.0ms (1.5%)

preprocess24.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize16.0ms (0.5%)

series2.0ms (0.1%)

simplify249.0ms (7.5%)

rewrite325.0ms (9.8%)

eval22.0ms (0.7%)

prune21.0ms (0.6%)

simplify5.0ms (0.2%)

localize28.0ms (0.8%)

series1.0ms (0%)

simplify276.0ms (8.3%)

rewrite294.0ms (8.8%)

eval28.0ms (0.8%)

prune21.0ms (0.6%)

simplify5.0ms (0.1%)

localize34.0ms (1%)

series0.0ms (0%)

simplify252.0ms (7.6%)

rewrite311.0ms (9.4%)

eval14.0ms (0.4%)

prune7.0ms (0.2%)

regimes9.0ms (0.3%)

regimes33.0ms (1%)

regimes5.0ms (0.2%)

simplify6.0ms (0.2%)

soundness429.0ms (12.9%)

preprocess45.0ms (1.3%)

end0.0ms (0%)

Profiling