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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample590.0ms (16.3%)

Memory

32.4MiB live, 690.5MiB allocated

Samples

372.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div: 114.0ms (68.8% of total)

ival-sub: 38.0ms (22.9% of total)

ival-true: 6.0ms (3.6% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain96.0ms (2.6%)

Memory

-17.3MiB live, 100.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`#s(literal 200 binary64)`
-	-	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
-	-	`(/.f64 y #s(literal 200 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

58.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (53% of total)

ival-sub: 2.0ms (26.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess55.0ms (1.5%)

Memory

-2.6MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`lower-fma.f64`
64×	`lower-fma.f32`
40×	`lower-*.f64`
40×	`lower-*.f32`
23×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	128	(-.f64 x (/.f64 y #s(literal 200 binary64)))
cost-diff	384	(/.f64 y #s(literal 200 binary64))

Rules

64×	`lower-fma.f64`
64×	`lower-fma.f32`
40×	`lower-*.f64`
40×	`lower-*.f32`
20×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
x
(/.f64 y #s(literal 200 binary64))
y
#s(literal 200 binary64)

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(/.f64 y #s(literal 200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 200 binary64)

localize19.0ms (0.5%)

Memory

-2.9MiB live, 33.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 200 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (53.2% of total)

ival-sub: 1.0ms (26.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())

#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(- x (/ y 200))
0.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	0	(/ y 200)
0.0ms	x	@	inf	(- x (/ y 200))

simplify190.0ms (5.2%)

Memory

13.3MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 580×	`lower-fma.f64`
1 580×	`lower-fma.f32`
1 292×	`lower-*.f64`
1 292×	`lower-*.f32`
1 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2440	138
6	3244	138
7	3580	138
8	3876	138
9	4060	138
10	5213	138
11	6009	138
12	6777	138
13	7045	138
14	7825	138
0	8361	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))

Outputs
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)

rewrite221.0ms (6.1%)

Memory

-33.7MiB live, 295.2MiB allocated

Rules

1 684×	`lower-fma.f64`
1 684×	`lower-fma.f32`
1 612×	`lower-*.f64`
1 612×	`lower-*.f32`
1 456×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Counts

2 → 130

Calls

Call 1

Inputs
(/.f64 y #s(literal 200 binary64))
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
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(/.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 #s(literal 1/200 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x)) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))

eval126.0ms (3.5%)

Memory: -2.0MiB live, 41.7MiB allocated
Compiler: Compiled 3 392 to 381 computations (88.8% saved)

prune28.0ms (0.8%)

Memory

16.8MiB live, 55.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	3	164

Accuracy

100.0%

Counts

164 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	49.0%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify12.0ms (0.3%)

Memory

-12.2MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
cost-diff	0	(*.f64 #s(literal -1/200 binary64) y)
cost-diff	0	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Rules

64×	`lower-fma.f32`
63×	`lower-fma.f64`
40×	`lower-*.f32`
39×	`lower-*.f64`
20×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal -1/200 binary64)
y
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal -1/200 binary64)
y
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 #s(literal -1/200 binary64) y x)
y
#s(literal -1/200 binary64)
x

localize32.0ms (0.9%)

Memory

-1.2MiB live, 82.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.13671875	(*.f64 #s(literal -1/200 binary64) y)
accuracy	32.57970433709879	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Samples

21.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

const: 4.0ms (30.7% of total)

ival-div: 3.0ms (23.1% of total)

ival-mult: 3.0ms (23.1% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal -1/200 binary64) y) (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())

#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* -1/200 y)
0.0ms	x	@	0	(+ (* y -1/200) x)
0.0ms	x	@	-inf	(+ (* y -1/200) x)
0.0ms	x	@	inf	(+ (* y -1/200) x)
0.0ms	y	@	inf	(* -1/200 y)

simplify209.0ms (5.8%)

Memory

35.1MiB live, 184.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 580×	`lower-fma.f64`
1 580×	`lower-fma.f32`
1 292×	`lower-*.f64`
1 292×	`lower-*.f32`
1 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	240
1	68	240
2	170	240
3	455	240
4	1250	240
5	2461	240
6	3264	240
7	3600	240
8	3896	240
9	4079	240
10	5224	240
11	6020	240
12	6788	240
13	7056	240
14	7836	240
0	8372	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

Inputs
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

Outputs
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)

rewrite252.0ms (7%)

Memory

-30.1MiB live, 264.7MiB allocated

Rules

2 434×	`lower-fma.f32`
2 433×	`lower-fma.f64`
1 718×	`lower-*.f32`
1 717×	`lower-*.f64`
1 170×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	12	16
1	49	15
2	399	15
3	6478	15
0	8206	15

Stop Event

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

Counts

3 → 141

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 y #s(literal -1/200 binary64) x)

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/200 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) y)))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/200 binary64) y)))))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal -200 binary64))
(neg.f64 (*.f64 #s(literal 1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))) (-.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (fma.f64 x (fma.f64 #s(literal -1/200 binary64) y x) (.f64 (.f64 #s(literal 1/40000 binary64) y) y)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))) (-.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/64000000000000 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) x) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))) (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) (.f64 (*.f64 #s(literal 1/40000 binary64) y) y)))))
(.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x)))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x))))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 #s(literal 1/64000000000000 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/64000000000000 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (fma.f64 #s(literal 1/64000000000000 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))))
(/.f64 (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))))
(/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))) (fma.f64 #s(literal 1/200 binary64) y x)))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (-.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (fma.f64 x (fma.f64 #s(literal -1/200 binary64) y x) (.f64 (.f64 #s(literal 1/40000 binary64) y) y)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (neg.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)) (neg.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/200 binary64)) (/.f64 #s(literal -1/200 binary64) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/40000 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (.f64 #s(literal -1/200 binary64) y) (/.f64 (.f64 #s(literal -1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal -1/200 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/200 binary64)) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 (.f64 #s(literal 1/200 binary64) y) (/.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y (/.f64 (.f64 #s(literal 1/40000 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))) (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(-.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))) (neg.f64 (/.f64 (.f64 #s(literal 1/8000000 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(+.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))

eval111.0ms (3.1%)

Memory: -20.0MiB live, 31.5MiB allocated
Compiler: Compiled 4 313 to 374 computations (91.3% saved)

prune51.0ms (1.4%)

Memory

-7.5MiB live, 32.2MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	194	4	198

Accuracy

100.0%

Counts

198 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	49.1%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	49.0%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 25 to 17 computations (32% saved)

simplify10.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
cost-diff	384	(/.f64 y #s(literal -200 binary64))

Rules

64×	`lower-fma.f64`
64×	`lower-fma.f32`
40×	`lower-*.f64`
40×	`lower-*.f32`
20×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(/.f64 y #s(literal -200 binary64))
y
#s(literal -200 binary64)

Outputs
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 y #s(literal -200 binary64))
(*.f64 #s(literal -1/200 binary64) y)
y
#s(literal -200 binary64)

localize21.0ms (0.6%)

Memory

-7.4MiB live, 28.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal -200 binary64))
accuracy	32.57970433709879	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 7.0ms (68.8% of total)

ival-sub: 1.0ms (9.8% of total)

ival-assert: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())

#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ y -200)
0.0ms	y	@	inf	(/ y -200)
0.0ms	x	@	-inf	(- x (/ y 200))
0.0ms	y	@	-inf	(/ y -200)
0.0ms	y	@	0	(- x (/ y 200))

simplify201.0ms (5.6%)

Memory

18.1MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 580×	`lower-fma.f64`
1 580×	`lower-fma.f32`
1 292×	`lower-*.f64`
1 292×	`lower-*.f32`
1 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))

Outputs
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)

rewrite162.0ms (4.5%)

Memory

-15.5MiB live, 265.6MiB allocated

Rules

1 431×	`lower-*.f64`
1 431×	`lower-*.f32`
1 377×	`lower-fma.f64`
1 377×	`lower-fma.f32`
1 270×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	9	12
1	40	12
2	262	12
3	4234	12
0	9056	11

Stop Event

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

Counts

2 → 56

Calls

Call 1

Inputs
(/.f64 y #s(literal -200 binary64))
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal 1/200 binary64))
(.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1/200 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(/.f64 y #s(literal -200 binary64))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

eval12.0ms (0.3%)

Memory: -3.4MiB live, 32.3MiB allocated
Compiler: Compiled 577 to 112 computations (80.6% saved)

prune11.0ms (0.3%)

Memory

-0.9MiB live, 38.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	88	5	93

Accuracy

100.0%

Counts

93 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	49.1%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶	2.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	49.0%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify10.0ms (0.3%)

Memory

25.1MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 1/200 binary64))
cost-diff	0	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Rules

64×	`lower-fma.f64`
64×	`lower-fma.f32`
40×	`lower-*.f32`
39×	`lower-*.f64`
20×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))
y
#s(literal 1/200 binary64)

Outputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 1/200 binary64)

localize25.0ms (0.7%)

Memory

-29.9MiB live, 55.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.13671875	(*.f64 y #s(literal 1/200 binary64))
accuracy	62.53350171269388	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

const: 3.0ms (35.7% of total)

ival-div: 2.0ms (23.8% of total)

ival-mult: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% 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

2.0MiB live, 2.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y 1/200)
0.0ms	x	@	0	(- x (/ y 200))
0.0ms	y	@	inf	(* y 1/200)
0.0ms	y	@	-inf	(* y 1/200)
0.0ms	x	@	-inf	(- x (/ y 200))

simplify275.0ms (7.6%)

Memory

24.2MiB live, 101.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 580×	`lower-fma.f64`
1 580×	`lower-fma.f32`
1 292×	`lower-*.f64`
1 292×	`lower-*.f32`
1 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)

Outputs
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)

rewrite178.0ms (4.9%)

Memory

7.1MiB live, 204.5MiB allocated

Rules

1 875×	`lower-fma.f64`
1 875×	`lower-fma.f32`
1 723×	`lower-*.f32`
1 722×	`lower-*.f64`
1 460×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	9	12
1	34	12
2	259	12
3	4161	12
0	8351	11

Stop Event

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

Counts

2 → 40

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y)))

eval9.0ms (0.2%)

Memory: -19.8MiB live, 19.0MiB allocated
Compiler: Compiled 457 to 93 computations (79.6% saved)

prune9.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	73	5	78

Accuracy

100.0%

Counts

78 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	49.1%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	2.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	49.0%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes12.0ms (0.3%)

Memory

-9.7MiB live, 28.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Calls

4 calls:

4.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
3.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
100.0%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.3%)

Memory

-14.8MiB live, 24.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Outputs
(fma.f64 y #s(literal -1/200 binary64) x)

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
99.9%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Accuracy

Total -30.4b remaining (-93.3%)

Threshold costs -30.4b (-93.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Calls

4 calls:

2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 y #s(literal 200 binary64))

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
49.0%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify10.0ms (0.3%)

Memory

-40.1MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	14	18
2	23	18
3	29	18
4	34	18
5	36	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

soundness445.0ms (12.3%)

Memory

21.5MiB live, 260.0MiB allocated

Rules

1 684×	`lower-fma.f64`
1 684×	`lower-fma.f32`
1 612×	`lower-*.f64`
1 612×	`lower-*.f32`
1 580×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2440	138
6	3244	138
7	3580	138
8	3876	138
9	4060	138
10	5213	138
11	6009	138
12	6777	138
13	7045	138
14	7825	138
0	8361	120

Stop Event

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess201.0ms (5.6%)

Memory: -16.4MiB live, 102.2MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13

start0.0ms (0%)

analyze0.0ms (0%)

sample590.0ms (16.3%)

explain96.0ms (2.6%)

preprocess55.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.3%)

localize19.0ms (0.5%)

series3.0ms (0.1%)

simplify190.0ms (5.2%)

rewrite221.0ms (6.1%)

eval126.0ms (3.5%)

prune28.0ms (0.8%)

simplify12.0ms (0.3%)

localize32.0ms (0.9%)

series2.0ms (0.1%)

simplify209.0ms (5.8%)

rewrite252.0ms (7%)

eval111.0ms (3.1%)

prune51.0ms (1.4%)

simplify10.0ms (0.3%)

localize21.0ms (0.6%)

series1.0ms (0%)

simplify201.0ms (5.6%)

rewrite162.0ms (4.5%)

eval12.0ms (0.3%)

prune11.0ms (0.3%)

simplify10.0ms (0.3%)

localize25.0ms (0.7%)

series1.0ms (0%)

simplify275.0ms (7.6%)

rewrite178.0ms (4.9%)

eval9.0ms (0.2%)

prune9.0ms (0.3%)

regimes12.0ms (0.3%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

simplify10.0ms (0.3%)

soundness445.0ms (12.3%)

preprocess201.0ms (5.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13