Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample575.0ms (23.8%)

Memory

8.2MiB live, 1 054.1MiB allocated

Samples

369.0ms	8 220×	0	valid
1.0ms	9×	3	valid
1.0ms	11×	2	valid
1.0ms	16×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-sub: 90.0ms (57.4% of total)

ival-mult: 53.0ms (33.8% of total)

ival-true: 6.0ms (3.8% of total)

exact: 4.0ms (2.6% of total)

ival-assert: 3.0ms (1.9% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain49.0ms (2%)

Memory

-3.8MiB live, 78.3MiB allocated

FPErrors

Click to see full error table

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

27.0ms	510×	0	valid
0.0ms	2×	3	valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (51.3% of total)

ival-sub: 7.0ms (44.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess27.0ms (1.1%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
144×	`lower-*.f32`
142×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	38	25
2	107	25
3	298	25
4	397	25
5	424	25
6	433	25
0	5	5
0	7	5
1	10	5
2	21	5
3	39	5
4	61	5
5	86	5
6	142	5
7	211	5
8	288	5
9	330	5
10	362	5
0	362	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify11.0ms (0.5%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
144×	`lower-*.f32`
142×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	21	11
3	39	11
4	61	11
5	86	11
6	142	11
7	211	11
8	288	11
9	330	11
10	362	11
0	362	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (2.4%)

Memory

-11.6MiB live, 23.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 x y)
accuracy	0.0234375	(*.f64 #s(literal 500 binary64) (-.f64 x y))

Samples

54.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 2.0ms (54.2% of total)

ival-sub: 2.0ms (54.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())

#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 500 x) (taylor 0 y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify243.0ms (10%)

Memory

12.1MiB live, 163.0MiB allocated

Algorithm

1×	egg-herbie

Rules

26 396×	`lower-fma.f64`
26 396×	`lower-fma.f32`
3 260×	`lower-+.f64`
3 260×	`lower-+.f32`
2 160×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	207
1	118	207
2	316	207
3	849	171
4	1746	171
5	2886	171
6	3982	171
7	4668	171
8	5018	171
9	5127	171
10	5826	171
11	7614	171
0	8080	171

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite164.0ms (6.8%)

Memory

-7.9MiB live, 248.7MiB allocated

Rules

5 754×	`lower-fma.f64`
5 754×	`lower-fma.f32`
3 256×	`lower-*.f32`
3 254×	`lower-*.f64`
3 212×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	23	8
2	154	8
3	1501	8
0	9456	8

Stop Event

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

Counts

2 → 251

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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eval47.0ms (1.9%)

Memory: -10.0MiB live, 73.4MiB allocated
Compiler: Compiled 6 893 to 835 computations (87.9% saved)

prune7.0ms (0.3%)

Memory

-20.7MiB live, 17.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	293	3	296
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	4	297

Accuracy

100.0%

Counts

297 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
▶	45.7%	#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
▶	56.0%	#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify12.0ms (0.5%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 500 binary64))
cost-diff	192	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
cost-diff	0	(*.f64 y #s(literal -500 binary64))
cost-diff	0	#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
cost-diff	0	(*.f64 x #s(literal 500 binary64))
cost-diff	0	#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Rules

240×	`lower-fma.f32`
238×	`lower-fma.f64`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	14	41
1	20	41
2	29	40
3	43	40
4	63	40
5	88	40
6	144	40
7	213	40
8	290	40
9	332	40
10	362	40
0	362	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
(*.f64 x #s(literal 500 binary64))
x
#s(literal 500 binary64)
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y))
(*.f64 y #s(literal -500 binary64))
(*.f64 #s(literal -500 binary64) y)
y
#s(literal -500 binary64)
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
y
#s(literal -500 binary64)
(*.f64 x #s(literal 500 binary64))
x
#s(literal 500 binary64)

localize27.0ms (1.1%)

Memory

-23.5MiB live, 58.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 500 binary64))
accuracy	0.00390625	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
accuracy	0	(*.f64 y #s(literal -500 binary64))
accuracy	34.74492574280458	#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
accuracy	0	(*.f64 x #s(literal 500 binary64))
accuracy	28.147719157564072	#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Samples

18.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-mult: 6.0ms (66.9% of total)

ival-sub: 2.0ms (22.3% of total)

ival-add: 1.0ms (11.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 500 x) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -500 binary64)) (patch (.f64 y #s(literal -500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 500 binary64)) (patch (.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (.f64 y #s(literal -500 binary64))) (patch #s(approx ( 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify146.0ms (6%)

Memory

2.7MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 814×	`lower-*.f64`
3 814×	`lower-*.f32`
3 734×	`lower-fma.f64`
3 734×	`lower-fma.f32`
2 184×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	504
1	64	504
2	169	504
3	357	450
4	704	396
5	2126	396
6	3860	396
7	5096	396
8	5712	396
9	6117	396
10	6501	396
11	6901	396
12	7957	396
0	8074	396

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite187.0ms (7.7%)

Memory

-5.9MiB live, 210.8MiB allocated

Rules

5 502×	`lower-fma.f32`
5 500×	`lower-fma.f64`
4 514×	`lower-*.f32`
4 510×	`lower-*.f64`
4 150×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	14	30
1	45	30
2	325	29
3	3274	29
0	9093	29

Stop Event

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

Counts

5 → 187

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval79.0ms (3.3%)

Memory: -26.6MiB live, 48.5MiB allocated
Compiler: Compiled 5 248 to 563 computations (89.3% saved)

prune8.0ms (0.3%)

Memory

25.1MiB live, 25.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	302	4	306

Accuracy

100.0%

Counts

306 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
✓	100.0%	(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓	45.7%	#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
✓	56.0%	#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes11.0ms (0.5%)

Memory

-18.4MiB live, 19.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms	(-.f64 x y)

Results

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

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes8.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes7.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))

Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Calls

4 calls:

2.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms	x
2.0ms	(-.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
81.9%	3	`x`
75.6%	3	`y`
66.3%	6	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
66.3%	6	`(-.f64 x y)`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes10.0ms (0.4%)

Memory

-31.5MiB live, 11.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Calls

4 calls:

6.0ms	x
1.0ms	(*.f64 #s(literal 500 binary64) (-.f64 x y))
1.0ms	y
1.0ms	(-.f64 x y)

Results

Accuracy	Segments	Branch
56.0%	1	`(*.f64 #s(literal 500 binary64) (-.f64 x y))`
56.0%	1	`(-.f64 x y)`
56.0%	1	`y`
56.0%	1	`x`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch17.0ms (0.7%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.4871345746348427e-97	1.060165868370096e-96
9.0ms	-32530.942236274448	-1.708323790204963

Samples

7.0ms

224×

valid

Compiler

Compiled 120 to 178 computations (-48.3% saved)

Precisions

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

ival-sub: 1.0ms (33.3% of total)

ival-mult: 1.0ms (33.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (1.1%)

Memory

-22.2MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	24	55
2	29	55
3	31	55
4	32	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 x #s(literal -400 binary64)) #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (if (<=.f64 x #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx ( 500 (- x y)) (.f64 y #s(literal -500 binary64))) #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64)))))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

Outputs
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(if (<=.f64 x #s(literal -400 binary64)) #s(approx (* 500 (- x y)) (.f64 x #s(literal 500 binary64))) (if (<=.f64 x #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx ( 500 (- x y)) (.f64 y #s(literal -500 binary64))) #s(approx ( 500 (- x y)) (*.f64 x #s(literal 500 binary64)))))
(if (<=.f64 x #s(literal -400 binary64)) #s(approx (* 500 (- x y)) (.f64 #s(literal 500 binary64) x)) (if (<=.f64 x #s(literal 2404907604760405/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx ( 500 (- x y)) (.f64 #s(literal -500 binary64) y)) #s(approx ( 500 (- x y)) (*.f64 #s(literal 500 binary64) x))))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x))

soundness656.0ms (27.1%)

Memory

32.4MiB live, 266.1MiB allocated

Rules

26 396×	`lower-fma.f64`
26 396×	`lower-fma.f32`
5 754×	`lower-fma.f64`
5 754×	`lower-fma.f32`
3 260×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	23	8
2	154	8
3	1501	8
0	9456	8
0	40	207
1	118	207
2	316	207
3	849	171
4	1746	171
5	2886	171
6	3982	171
7	4668	171
8	5018	171
9	5127	171
10	5826	171
11	7614	171
0	8080	171

Stop Event

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

Compiler

Compiled 55 to 37 computations (32.7% saved)

preprocess34.0ms (1.4%)

Memory: -25.6MiB live, 88.3MiB allocated
Compiler: Compiled 80 to 44 computations (45% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	38	25
2	107	25
3	298	25
4	397	25
5	424	25
6	433	25
0	5	5
0	7	5
1	10	5
2	21	5
3	39	5
4	61	5
5	86	5
6	142	5
7	211	5
8	288	5
9	330	5
10	362	5
0	362	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	21	11
3	39	11
4	61	11
5	86	11
6	142	11
7	211	11
8	288	11
9	330	11
10	362	11
0	362	11

Iter	Nodes	Cost
0	11	41
0	14	41
1	20	41
2	29	40
3	43	40
4	63	40
5	88	40
6	144	40
7	213	40
8	290	40
9	332	40
10	362	40
0	362	40

Iter	Nodes	Cost
0	13	29
1	38	25
2	107	25
3	298	25
4	397	25
5	424	25
6	433	25
0	5	5
0	7	5
1	10	5
2	21	5
3	39	5
4	61	5
5	86	5
6	142	5
7	211	5
8	288	5
9	330	5
10	362	5
0	362	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	21	11
3	39	11
4	61	11
5	86	11
6	142	11
7	211	11
8	288	11
9	330	11
10	362	11
0	362	11

Iter	Nodes	Cost
0	11	41
0	14	41
1	20	41
2	29	40
3	43	40
4	63	40
5	88	40
6	144	40
7	213	40
8	290	40
9	332	40
10	362	40
0	362	40

start0.0ms (0%)

analyze0.0ms (0%)

sample575.0ms (23.8%)

explain49.0ms (2%)

preprocess27.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.5%)

localize59.0ms (2.4%)

series3.0ms (0.1%)

simplify243.0ms (10%)

rewrite164.0ms (6.8%)

eval47.0ms (1.9%)

prune7.0ms (0.3%)

simplify12.0ms (0.5%)

localize27.0ms (1.1%)

series5.0ms (0.2%)

simplify146.0ms (6%)

rewrite187.0ms (7.7%)

eval79.0ms (3.3%)

prune8.0ms (0.3%)

regimes11.0ms (0.5%)

regimes8.0ms (0.3%)

regimes7.0ms (0.3%)

regimes10.0ms (0.4%)

bsearch17.0ms (0.7%)

simplify27.0ms (1.1%)

soundness656.0ms (27.1%)

preprocess34.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	38	25
2	107	25
3	298	25
4	397	25
5	424	25
6	433	25
0	5	5
0	7	5
1	10	5
2	21	5
3	39	5
4	61	5
5	86	5
6	142	5
7	211	5
8	288	5
9	330	5
10	362	5
0	362	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	21	11
3	39	11
4	61	11
5	86	11
6	142	11
7	211	11
8	288	11
9	330	11
10	362	11
0	362	11

Iter	Nodes	Cost
0	11	41
0	14	41
1	20	41
2	29	40
3	43	40
4	63	40
5	88	40
6	144	40
7	213	40
8	290	40
9	332	40
10	362	40
0	362	40