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

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (18.3%)

Memory

15.2MiB live, 821.9MiB allocated

Samples

811.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 577.0ms

ival-div: 361.0ms (62.6% of total)

ival-sub: 204.0ms (35.3% of total)

ival-true: 6.0ms (1% of total)

exact: 4.0ms (0.7% of total)

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

Bogosity

explain79.0ms (1.4%)

Memory

5.5MiB live, 120.4MiB 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

22.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-div: 5.0ms (56.6% of total)

ival-sub: 3.0ms (34% of total)

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

exact: 0.0ms (0% of total)

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

preprocess31.0ms (0.5%)

Memory

-22.8MiB live, 57.9MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
46×	`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 y #s(literal -1/200 binary64) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

simplify11.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB 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

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
40×	`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 y #s(literal -1/200 binary64) x)
x
(/.f64 y #s(literal 200 binary64))
(*.f64 y #s(literal 1/200 binary64))
y
#s(literal 200 binary64)

localize17.0ms (0.3%)

Memory

6.5MiB live, 44.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 200 binary64))
accuracy	0.014003759768442016	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (42.4% of total)

ival-sub: 2.0ms (42.4% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.6%)

Memory

-33.5MiB live, 5.4MiB 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
30.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(- x (/ y 200))
0.0ms	y	@	0	(/ y 200)
0.0ms	x	@	inf	(- x (/ y 200))

simplify235.0ms (4.2%)

Memory

7.6MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
2 384×	`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 #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)
(* -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)

rewrite189.0ms (3.3%)

Memory

34.2MiB live, 293.9MiB allocated

Rules

3 368×	`lower-fma.f64`
3 368×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
2 912×	`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
(exp.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/200 binary64)))
(neg.f64 (*.f64 y #s(literal -1/200 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 200 binary64))
(/.f64 (neg.f64 y) #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 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 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/200 binary64))))))
(pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64)))))
(*.f64 y #s(literal 1/200 binary64))
(.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/200 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/200 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y y) #s(literal -1/40000 binary64))) (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(*.f64 (fma.f64 y #s(literal 1/200 binary64) x) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (fma.f64 (.f64 y #s(literal 1/200 binary64)) (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (-.f64 (.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))))) (fma.f64 x x (.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/512000000000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x))))

eval23.0ms (0.4%)

Memory: -36.6MiB live, 49.8MiB allocated
Compiler: Compiled 3 392 to 382 computations (88.7% saved)

prune22.0ms (0.4%)

Memory

28.2MiB live, 66.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	4	164

Accuracy

100.0%

Counts

164 → 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)))
▶	99.7%	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
▶	50.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify213.0ms (3.8%)

Memory

-15.0MiB live, 303.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
cost-diff	0	(fma.f64 y #s(literal 1/200 binary64) x)
cost-diff	320	(*.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
cost-diff	1792	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
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

9 896×	`lower-fma.f32`
9 892×	`lower-fma.f64`
4 064×	`lower-*.f32`
4 058×	`lower-*.f64`
2 102×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	58
1	36	56
2	83	56
3	270	56
4	1232	52
5	4980	52
6	6201	52
0	8585	52

Stop Event

1×	iter limit
1×	node limit
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)
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(fma.f64 y #s(literal 1/200 binary64) x)
y
#s(literal 1/200 binary64)
x
(*.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(literal -1/200 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))
#s(literal 1 binary64)
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x

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

localize70.0ms (1.2%)

Memory

23.3MiB live, 61.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.046875	(fma.f64 y #s(literal 1/200 binary64) x)
accuracy	0.0546875	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))
accuracy	0.234375	(*.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
accuracy	0.125	(*.f64 y #s(literal -1/200 binary64))
accuracy	31.741094798440756	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 74 to 17 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (29.7% of total)

const: 6.0ms (29.7% of total)

ival-div: 4.0ms (19.8% of total)

ival-add: 2.0ms (9.9% of total)

ival-sub: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-26.5MiB live, 17.2MiB allocated

Counts

7 → 156

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>) () ())
#s(alt (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))) (patch (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (patch (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) #<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>) () ())
#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 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (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 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>) () ())) ())
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#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/200 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 1/40000 (/ (pow y 2) (pow x 2)))) (* 1/200 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/200 (/ y x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* 1/200 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x)))
0.0ms	y	@	inf	(* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x)))
0.0ms	x	@	-inf	(* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x)))
0.0ms	y	@	-inf	(* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x)))
0.0ms	x	@	0	(* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x)))

simplify356.0ms (6.3%)

Memory

4.3MiB live, 392.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 808×	`lower-fma.f64`
10 808×	`lower-fma.f32`
5 114×	`lower-*.f64`
5 114×	`lower-*.f32`
3 272×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1323
1	898	1294
2	2486	1233
3	7537	1221
0	8841	1117

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 144

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)))
1
(+ 1 (* -1/100 (/ y x)))
(+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))
-1
(- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))
(- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))
(- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))
-1
(- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)
(- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)
(- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)
-1
(- (* 400 (/ x y)) 1)
(- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)
1
(- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))
(- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))
(- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))
1
(+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))
x
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(* 1/200 y)
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* 1/200 y)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* 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)
(+ 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)))
(/ 1 x)
(+ (* -1/200 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 1/40000 (/ y (pow x 3))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/8000000 (/ y (pow x 4))) (* 1/40000 (/ 1 (pow x 3))))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(/ 200 y)
(/ (+ 200 (* -40000 (/ x y))) y)
(/ (- (+ 200 (* 8000000 (/ (pow x 2) (pow y 2)))) (* 40000 (/ x y))) y)
(/ (- (+ 200 (* -1600000000 (/ (pow x 3) (pow y 3)))) (+ (* -8000000 (/ (pow x 2) (pow y 2))) (* 40000 (/ x y)))) y)
(/ 200 y)
(* -1 (/ (- (* 40000 (/ x y)) 200) y))
(* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 2) y)) (* 40000 x)) y)) 200) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1600000000 (/ (pow x 3) y)) (* 8000000 (pow x 2))) y)) (* 40000 x)) y)) 200) y))
(/ 200 y)
(+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y)))
(+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(+ (* x (- (* x (+ (* -1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -1/200 (/ y x))) x)
(/ (- (+ 1 (* 1/40000 (/ (pow y 2) (pow x 2)))) (* 1/200 (/ y x))) x)
(/ (- (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 1/200 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* 1/200 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x)) 1) x))

Outputs
(* -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 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) 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))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x 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)
(* -1/200 y)
(*.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 (* -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))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -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 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/100 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/100 binary64) #s(literal 1 binary64))
(+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/20000 binary64) (*.f64 x x)) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4000000 binary64) (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal 1/20000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))
(fma.f64 x (/.f64 (.f64 #s(literal -200 binary64) (.f64 x #s(literal 400 binary64))) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
(- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x #s(literal 400 binary64)) #s(literal 40000 binary64)) (.f64 y (.f64 y y))) (fma.f64 x (/.f64 (.f64 #s(literal -200 binary64) (.f64 x #s(literal 400 binary64))) (.f64 y y)) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)
(fma.f64 #s(literal 200 binary64) (/.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal -400 binary64) y) #s(literal 1 binary64)) x) y) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 x #s(literal -400 binary64)) (/.f64 (fma.f64 x (.f64 #s(literal 200 binary64) (.f64 x #s(literal -400 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (*.f64 x #s(literal -400 binary64)) y) #s(literal -40000 binary64)))) y)) y))
-1
#s(literal -1 binary64)
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)
(fma.f64 x (fma.f64 x (/.f64 #s(literal -80000 binary64) (*.f64 y y)) (/.f64 #s(literal 400 binary64) y)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 16000000 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -80000 binary64) (*.f64 y y))) (/.f64 #s(literal 400 binary64) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/100 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 #s(literal -1/200 binary64) (/.f64 (.f64 y #s(literal 1/100 binary64)) x) #s(literal 1/100 binary64))) x))
(- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 y #s(literal -1/100 binary64)) #s(literal 1/40000 binary64)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 #s(literal -1/200 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x) #s(literal 1/100 binary64))) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))
(fma.f64 (/.f64 y x) #s(literal -1/100 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 #s(literal -1/200 binary64) (/.f64 (.f64 y #s(literal 1/100 binary64)) x) #s(literal 1/100 binary64))) x))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/100 binary64) (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 y #s(literal 1/100 binary64)) #s(literal -1/40000 binary64)) x) (.f64 #s(literal -1/200 binary64) (.f64 y (.f64 y #s(literal -1/100 binary64))))) (neg.f64 x))) 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 (+ 1/200 (/ x y)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* y (+ 1/200 (/ x y)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* y (+ 1/200 (/ x y)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* 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 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
x
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) 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))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -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 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 (*.f64 #s(literal -1/200 binary64) y) (/.f64 x x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/200 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal 1 binary64)) x)
(+ (* y (- (* 1/40000 (/ y (pow x 3))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/40000 binary64)) (.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal 1 binary64)) x))
(+ (* y (- (* y (+ (* -1/8000000 (/ y (pow x 4))) (* 1/40000 (/ 1 (pow x 3))))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/8000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/40000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/200 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ (+ 200 (* -40000 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) #s(literal -40000 binary64) #s(literal 200 binary64)) y)
(/ (- (+ 200 (* 8000000 (/ (pow x 2) (pow y 2)))) (* 40000 (/ x y))) y)
(/.f64 (+.f64 #s(literal 200 binary64) (/.f64 (fma.f64 x #s(literal -40000 binary64) (.f64 #s(literal 8000000 binary64) (/.f64 (.f64 x x) y))) y)) y)
(/ (- (+ 200 (* -1600000000 (/ (pow x 3) (pow y 3)))) (+ (* -8000000 (/ (pow x 2) (pow y 2))) (* 40000 (/ x y)))) y)
(/.f64 (+.f64 #s(literal 200 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1600000000 binary64) (.f64 y (.f64 y y))) (/.f64 (fma.f64 x #s(literal -40000 binary64) (.f64 #s(literal 8000000 binary64) (/.f64 (.f64 x x) y))) y))) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(* -1 (/ (- (* 40000 (/ x y)) 200) y))
(/.f64 (fma.f64 (/.f64 x y) #s(literal -40000 binary64) #s(literal 200 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 2) y)) (* 40000 x)) y)) 200) y))
(/.f64 (-.f64 #s(literal 200 binary64) (/.f64 (fma.f64 x #s(literal -40000 binary64) (.f64 #s(literal 8000000 binary64) (/.f64 (.f64 x x) y))) (neg.f64 y))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1600000000 (/ (pow x 3) y)) (* 8000000 (pow x 2))) y)) (* 40000 x)) y)) 200) y))
(/.f64 (-.f64 #s(literal 200 binary64) (/.f64 (fma.f64 x #s(literal 40000 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -8000000 binary64)) (.f64 #s(literal 1600000000 binary64) (.f64 x (/.f64 (.f64 x x) y)))) y)) y)) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) #s(literal -40000 binary64) #s(literal 200 binary64)) y)
(+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(fma.f64 x (/.f64 (.f64 x #s(literal 8000000 binary64)) (.f64 y (*.f64 y y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -40000 binary64) #s(literal 200 binary64)) y))
(+ (* x (- (* x (+ (* -1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1600000000 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8000000 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal -40000 binary64) (*.f64 y y))) (/.f64 #s(literal 200 binary64) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/200 (/ y x))) x)
(/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/40000 (/ (pow y 2) (pow x 2)))) (* 1/200 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/200 binary64) y (.f64 y (.f64 y (/.f64 #s(literal 1/40000 binary64) x)))) x)) x)
(/ (- (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))) x)
(/.f64 (+.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/200 binary64) y (.f64 y (.f64 y (/.f64 #s(literal 1/40000 binary64) x)))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/200 (/ y x)) 1) x))
(/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* 1/200 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/200 binary64) y (.f64 y (.f64 y (/.f64 #s(literal 1/40000 binary64) x)))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/200 binary64) (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (/.f64 (.f64 y (.f64 y y)) x) (.f64 (.f64 y y) #s(literal -1/40000 binary64))) x)) x)) x)

rewrite360.0ms (6.4%)

Memory

50.9MiB live, 395.0MiB allocated

Rules

7 756×	`lower-fma.f32`
7 752×	`lower-fma.f64`
5 060×	`lower-*.f32`
5 054×	`lower-*.f64`
3 658×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	22	41
1	89	38
2	749	38
0	9355	38

Stop Event

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

Counts

7 → 808

Calls

Call 1

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

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

eval272.0ms (4.8%)

Memory: -8.0MiB live, 474.8MiB allocated
Compiler: Compiled 39 568 to 2 413 computations (93.9% saved)

prune214.0ms (3.8%)

Memory

-12.4MiB live, 404.1MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 324	3	1 327
Fresh	0	0	0
Picked	1	2	3
Done	1	0	1
Total	1 326	5	1 331

Accuracy

100.0%

Counts

1 331 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	51.0%	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
▶	99.7%	(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
▶	50.4%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	50.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 55 to 35 computations (36.4% saved)

simplify196.0ms (3.5%)

Memory

-0.9MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y #s(literal 1/200 binary64) x)
cost-diff	0	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
cost-diff	320	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))
cost-diff	448	(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
cost-diff	1600	(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))
cost-diff	0	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
cost-diff	384	(/.f64 y #s(literal -200 binary64))

Rules

8 858×	`lower-fma.f32`
8 852×	`lower-fma.f64`
3 758×	`lower-*.f32`
3 752×	`lower-*.f64`
1 708×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	148
0	46	146
1	77	142
2	142	142
3	358	106
4	896	103
5	4381	103
6	7933	103
0	8029	103

Stop Event

1×	iter limit
1×	node limit
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)
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))
#s(literal 1 binary64)
(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(*.f64 y #s(literal 1/200 binary64))
#s(literal 1/200 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
#s(literal -1 binary64)
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1/200 binary64) x)
y
#s(literal 1/200 binary64)
x
#s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 400 binary64) y)
#s(literal 400 binary64)
#s(literal -1 binary64)

Outputs
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))
(/.f64 y #s(literal -200 binary64))
(*.f64 y #s(literal -1/200 binary64))
y
#s(literal -200 binary64)
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))
#s(literal -1 binary64)
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(fma.f64 y #s(literal 1/200 binary64) (neg.f64 x))
(*.f64 y #s(literal 1/200 binary64))
#s(literal 1/200 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 y #s(literal 1/200 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
#s(literal -1 binary64)
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1/200 binary64) x)
y
#s(literal 1/200 binary64)
x
#s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 400 binary64) y)
#s(literal 400 binary64)
#s(literal -1 binary64)

localize117.0ms (2.1%)

Memory

11.6MiB live, 134.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
accuracy	0.046875	(fma.f64 y #s(literal 1/200 binary64) x)
accuracy	0.32939850635965523	(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
accuracy	31.54688965024583	#s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
accuracy	0.0546875	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.125	(*.f64 y #s(literal 1/200 binary64))
accuracy	0.12890625	(/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
accuracy	0	(/.f64 y #s(literal -200 binary64))
accuracy	31.741094798440756	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 146 to 30 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 38.0ms (62.3% of total)

ival-mult: 10.0ms (16.4% of total)

const: 6.0ms (9.8% of total)

ival-add: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series25.0ms (0.4%)

Memory

-26.4MiB live, 57.0MiB allocated

Counts

13 → 288

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>) () ())
#s(alt (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (patch (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))) (patch (.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) (patch (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))) #<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>) () ())
#s(alt #s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))) (patch #s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 1/200 binary64)) (patch (.f64 y #s(literal 1/200 binary64)) #<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
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#s(alt (- (* y (- (* -1/40000 (/ y (pow x 3))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* -1/8000000 (/ y (pow x 4))) (* 1/40000 (/ 1 (pow x 3))))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 200 (* 40000 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 200 (* 8000000 (/ (pow x 2) (pow y 2)))) (* -40000 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 200 (* 1600000000 (/ (pow x 3) (pow y 3)))) (+ (* -8000000 (/ (pow x 2) (pow y 2))) (* -40000 (/ x y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -40000 (/ x y)) 200) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 2) y)) (* -40000 x)) y)) 200) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1600000000 (/ (pow x 3) y)) (* 8000000 (pow x 2))) y)) (* -40000 x)) y)) 200) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 40000 (/ x (pow y 2))) (* 200 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* x (+ (* 1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/200 (/ y x)) 1) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/8000000 (/ (pow y 3) (pow x 3))) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* 1/200 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1/40000 (/ (pow y 2) x)) (* 1/200 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* -1/40000 (pow y 2))) x)) (* 1/200 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #<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>) () ())) ())
#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

72 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ (+ (* y -1/200) x) (- (* y 1/200) x))
1.0ms	x	@	-inf	(/ (+ (* y -1/200) x) (- (* y 1/200) x))
1.0ms	y	@	0	(* (* 1 (/ (+ (* y -1/200) x) (- (* y 1/200) x))) (/ 1 (/ -1 (+ (* y -1/200) x))))
1.0ms	x	@	0	(/ (+ (* y -1/200) x) (- (* y 1/200) x))
1.0ms	x	@	0	(* (* 1 (/ (+ (* y -1/200) x) (- (* y 1/200) x))) (/ 1 (/ -1 (+ (* y -1/200) x))))

simplify269.0ms (4.8%)

Memory

5.4MiB live, 358.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 008×	`lower-fma.f64`
13 008×	`lower-fma.f32`
3 664×	`lower-*.f64`
3 664×	`lower-*.f32`
3 032×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	1932
1	1205	1768
2	3657	1736
0	8532	1597

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 273

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)))))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(* -1 x)
(+ (* -1 x) (* 1/200 y))
(+ (* -1 x) (* 1/200 y))
(+ (* -1 x) (* 1/200 y))
(* 1/200 y)
(* y (+ 1/200 (* -1 (/ x y))))
(* y (+ 1/200 (* -1 (/ x y))))
(* y (+ 1/200 (* -1 (/ x y))))
(* 1/200 y)
(* -1 (* y (- (/ x y) 1/200)))
(* -1 (* y (- (/ x y) 1/200)))
(* -1 (* y (- (/ x y) 1/200)))
(* 1/200 y)
(+ (* -1 x) (* 1/200 y))
(+ (* -1 x) (* 1/200 y))
(+ (* -1 x) (* 1/200 y))
(* -1 x)
(* x (- (* 1/200 (/ y x)) 1))
(* x (- (* 1/200 (/ y x)) 1))
(* x (- (* 1/200 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1/200 (/ y x)))))
(* -1 (* x (+ 1 (* -1/200 (/ y x)))))
(* -1 (* x (+ 1 (* -1/200 (/ y x)))))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (* -1 (/ (- (* -2 x) (* -1 x)) y)) 1/200))
(* y (- (+ (* -1 (/ (- (* -2 x) (* -1 x)) y)) (* -1 (/ (- (* 200 (pow x 2)) (* -200 (* x (- (* -2 x) (* -1 x))))) (pow y 2)))) 1/200))
(* y (- (+ (* -200 (/ (* x (- (* 200 (pow x 2)) (* -200 (* x (- (* -2 x) (* -1 x)))))) (pow y 3))) (+ (* -1 (/ (- (* -2 x) (* -1 x)) y)) (* -1 (/ (- (* 200 (pow x 2)) (* -200 (* x (- (* -2 x) (* -1 x))))) (pow y 2))))) 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 (/ (- (* 1/100 y) (* 1/200 y)) x))))
(* x (+ 1 (+ (* -1 (/ (- (* -1/40000 (pow y 2)) (* -1/200 (* y (- (* 1/100 y) (* 1/200 y))))) (pow x 2))) (* -1 (/ (- (* 1/100 y) (* 1/200 y)) x)))))
(* x (+ 1 (+ (* -1 (/ (- (* -1/40000 (pow y 2)) (* -1/200 (* y (- (* 1/100 y) (* 1/200 y))))) (pow x 2))) (+ (* -1 (/ (- (* 1/100 y) (* 1/200 y)) x)) (* -1/200 (/ (* y (- (* -1/40000 (pow y 2)) (* -1/200 (* y (- (* 1/100 y) (* 1/200 y)))))) (pow x 3)))))))
x
(* -1 (* x (- (* 1/100 (/ y x)) (+ 1 (* 1/200 (/ y x))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (* 1/100 y) (* 1/200 y))) (* 1/40000 (/ (pow y 2) x))) (* 1/200 (/ (* y (- (* 1/100 y) (* 1/200 y))) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (* 1/100 y) (* 1/200 y))) (* -1 (/ (+ (* -1 (- (* 1/40000 (pow y 2)) (* 1/200 (* y (- (* 1/100 y) (* 1/200 y)))))) (* -1/200 (/ (* y (- (* 1/40000 (pow y 2)) (* 1/200 (* y (- (* 1/100 y) (* 1/200 y)))))) x))) x))) x)) 1)))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-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)
(+ 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 (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* 1/200 y)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* 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)))
1
(+ 1 (* -1/100 (/ y x)))
(+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))
-1
(- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))
(- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))
(- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))
-1
(- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)
(- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)
(- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)
-1
(- (* 400 (/ x y)) 1)
(- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)
1
(- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))
(- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))
(- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))
1
(+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))
-1
(- (* 400 (/ x y)) 1)
(- (* 400 (/ x y)) 1)
(- (* 400 (/ x y)) 1)
(* 400 (/ x y))
(* x (- (* 400 (/ 1 y)) (/ 1 x)))
(* x (- (* 400 (/ 1 y)) (/ 1 x)))
(* x (- (* 400 (/ 1 y)) (/ 1 x)))
(* 400 (/ x y))
(* -1 (* x (- (/ 1 x) (* 400 (/ 1 y)))))
(* -1 (* x (- (/ 1 x) (* 400 (/ 1 y)))))
(* -1 (* x (- (/ 1 x) (* 400 (/ 1 y)))))
(* 400 (/ x y))
(/ (+ (* -1 y) (* 400 x)) y)
(/ (+ (* -1 y) (* 400 x)) y)
(/ (+ (* -1 y) (* 400 x)) y)
-1
(- (* 400 (/ x y)) 1)
(- (* 400 (/ x y)) 1)
(- (* 400 (/ x y)) 1)
-1
(- (* 400 (/ x y)) 1)
(- (* 400 (/ x y)) 1)
(- (* 400 (/ x y)) 1)
(/ -1 x)
(- (* -1/200 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1/40000 (/ y (pow x 3))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (- (* y (- (* -1/8000000 (/ y (pow x 4))) (* 1/40000 (/ 1 (pow x 3))))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(/ 200 y)
(/ (+ 200 (* 40000 (/ x y))) y)
(/ (- (+ 200 (* 8000000 (/ (pow x 2) (pow y 2)))) (* -40000 (/ x y))) y)
(/ (- (+ 200 (* 1600000000 (/ (pow x 3) (pow y 3)))) (+ (* -8000000 (/ (pow x 2) (pow y 2))) (* -40000 (/ x y)))) y)
(/ 200 y)
(* -1 (/ (- (* -40000 (/ x y)) 200) y))
(* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 2) y)) (* -40000 x)) y)) 200) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1600000000 (/ (pow x 3) y)) (* 8000000 (pow x 2))) y)) (* -40000 x)) y)) 200) y))
(/ 200 y)
(+ (* 40000 (/ x (pow y 2))) (* 200 (/ 1 y)))
(+ (* x (+ (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(+ (* x (+ (* x (+ (* 1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(/ -1 x)
(/ (- (* -1/200 (/ y x)) 1) x)
(/ (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))) x)
(/ (- (* -1/8000000 (/ (pow y 3) (pow x 3))) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 1/200 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/40000 (/ (pow y 2) x)) (* 1/200 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* -1/40000 (pow y 2))) x)) (* 1/200 y)) x))) x))
(* 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 #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)
(* -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) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) 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))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* 1/200 y))
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(+ (* -1 x) (* 1/200 y))
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(+ (* -1 x) (* 1/200 y))
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* y (+ 1/200 (* -1 (/ x y))))
(*.f64 y (-.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* y (+ 1/200 (* -1 (/ x y))))
(*.f64 y (-.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* y (+ 1/200 (* -1 (/ x y))))
(*.f64 y (-.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1 (* y (- (/ x y) 1/200)))
(*.f64 y (-.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* -1 (* y (- (/ x y) 1/200)))
(*.f64 y (-.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* -1 (* y (- (/ x y) 1/200)))
(*.f64 y (-.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(+ (* -1 x) (* 1/200 y))
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(+ (* -1 x) (* 1/200 y))
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(+ (* -1 x) (* 1/200 y))
(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/200 (/ y x)) 1))
(*.f64 x (fma.f64 y (/.f64 #s(literal 1/200 binary64) x) #s(literal -1 binary64)))
(* x (- (* 1/200 (/ y x)) 1))
(*.f64 x (fma.f64 y (/.f64 #s(literal 1/200 binary64) x) #s(literal -1 binary64)))
(* x (- (* 1/200 (/ y x)) 1))
(*.f64 x (fma.f64 y (/.f64 #s(literal 1/200 binary64) x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/200 (/ y x)))))
(*.f64 x (fma.f64 y (/.f64 #s(literal 1/200 binary64) x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1/200 (/ y x)))))
(*.f64 x (fma.f64 y (/.f64 #s(literal 1/200 binary64) x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1/200 (/ y x)))))
(*.f64 x (fma.f64 y (/.f64 #s(literal 1/200 binary64) x) #s(literal -1 binary64)))
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 (- (* -1 (/ (- (* -2 x) (* -1 x)) y)) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (+ (* -1 (/ (- (* -2 x) (* -1 x)) y)) (* -1 (/ (- (* 200 (pow x 2)) (* -200 (* x (- (* -2 x) (* -1 x))))) (pow y 2)))) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (+ (* -200 (/ (* x (- (* 200 (pow x 2)) (* -200 (* x (- (* -2 x) (* -1 x)))))) (pow y 3))) (+ (* -1 (/ (- (* -2 x) (* -1 x)) y)) (* -1 (/ (- (* 200 (pow x 2)) (* -200 (* x (- (* -2 x) (* -1 x))))) (pow y 2))))) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -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 (/ (- (* 1/100 y) (* 1/200 y)) x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (+ (* -1 (/ (- (* -1/40000 (pow y 2)) (* -1/200 (* y (- (* 1/100 y) (* 1/200 y))))) (pow x 2))) (* -1 (/ (- (* 1/100 y) (* 1/200 y)) x)))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (+ (* -1 (/ (- (* -1/40000 (pow y 2)) (* -1/200 (* y (- (* 1/100 y) (* 1/200 y))))) (pow x 2))) (+ (* -1 (/ (- (* 1/100 y) (* 1/200 y)) x)) (* -1/200 (/ (* y (- (* -1/40000 (pow y 2)) (* -1/200 (* y (- (* 1/100 y) (* 1/200 y)))))) (pow x 3)))))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
x
(* -1 (* x (- (* 1/100 (/ y x)) (+ 1 (* 1/200 (/ y x))))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (* 1/100 y) (* 1/200 y))) (* 1/40000 (/ (pow y 2) x))) (* 1/200 (/ (* y (- (* 1/100 y) (* 1/200 y))) x))) x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (* 1/100 y) (* 1/200 y))) (* -1 (/ (+ (* -1 (- (* 1/40000 (pow y 2)) (* 1/200 (* y (- (* 1/100 y) (* 1/200 y)))))) (* -1/200 (/ (* y (- (* 1/40000 (pow y 2)) (* 1/200 (* y (- (* 1/100 y) (* 1/200 y)))))) x))) x))) x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
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))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -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) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) 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 (+ 1/200 (/ x y)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* y (+ 1/200 (/ x y)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* y (+ 1/200 (/ x y)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(*.f64 y (+.f64 #s(literal 1/200 binary64) (/.f64 x y)))
(* 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 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
x
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/100 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/100 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/20000 binary64) (*.f64 x x)) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4000000 binary64) (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal 1/20000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))
(fma.f64 x (.f64 (/.f64 (.f64 x #s(literal 400 binary64)) (*.f64 y y)) #s(literal -200 binary64)) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
(- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x #s(literal 400 binary64)) (.f64 y (.f64 y y))) #s(literal 40000 binary64)) (fma.f64 x (.f64 (/.f64 (.f64 x #s(literal 400 binary64)) (.f64 y y)) #s(literal -200 binary64)) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 (/.f64 x y) #s(literal -400 binary64)) #s(literal -200 binary64) #s(literal -400 binary64))) y))
(- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -400 binary64) (/.f64 (fma.f64 x (.f64 #s(literal -200 binary64) (.f64 x #s(literal 400 binary64))) (/.f64 (.f64 #s(literal -40000 binary64) (.f64 x (.f64 x (.f64 x #s(literal -400 binary64))))) y)) (neg.f64 y))) y))
-1
#s(literal -1 binary64)
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)
(fma.f64 x (fma.f64 #s(literal -80000 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 400 binary64) y)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 16000000 binary64) (/.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -80000 binary64) (*.f64 y y))) (/.f64 #s(literal 400 binary64) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/100 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 (/.f64 (.f64 y #s(literal -1/100 binary64)) (*.f64 x x)) #s(literal 1/200 binary64) (/.f64 #s(literal 1/100 binary64) x)))))
(- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))
(+.f64 (neg.f64 (.f64 y (fma.f64 (/.f64 (.f64 y #s(literal -1/100 binary64)) (.f64 x x)) #s(literal 1/200 binary64) (/.f64 #s(literal 1/100 binary64) x)))) (fma.f64 #s(literal 1/40000 binary64) (/.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/100 binary64)))) (.f64 x (.f64 x x))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))
(fma.f64 y (/.f64 #s(literal -1/100 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 (.f64 y #s(literal 1/100 binary64)) x) #s(literal -1/200 binary64) #s(literal 1/100 binary64))) x))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/100 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/40000 binary64)) (/.f64 (.f64 y #s(literal 1/100 binary64)) x) (.f64 (.f64 y (.f64 y #s(literal 1/200 binary64))) #s(literal 1/100 binary64))) x)) x))
-1
#s(literal -1 binary64)
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* 400 (/ x y))
(/.f64 (*.f64 x #s(literal 400 binary64)) y)
(* x (- (* 400 (/ 1 y)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* x (- (* 400 (/ 1 y)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* x (- (* 400 (/ 1 y)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* 400 (/ x y))
(/.f64 (*.f64 x #s(literal 400 binary64)) y)
(* -1 (* x (- (/ 1 x) (* 400 (/ 1 y)))))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) (* 400 (/ 1 y)))))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) (* 400 (/ 1 y)))))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(* 400 (/ x y))
(/.f64 (*.f64 x #s(literal 400 binary64)) y)
(/ (+ (* -1 y) (* 400 x)) y)
(/.f64 (-.f64 (*.f64 x #s(literal 400 binary64)) y) y)
(/ (+ (* -1 y) (* 400 x)) y)
(/.f64 (-.f64 (*.f64 x #s(literal 400 binary64)) y) y)
(/ (+ (* -1 y) (* 400 x)) y)
(/.f64 (-.f64 (*.f64 x #s(literal 400 binary64)) y) y)
-1
#s(literal -1 binary64)
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1/200 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal -1 binary64)) x)
(- (* y (- (* -1/40000 (/ y (pow x 3))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (/.f64 (.f64 y #s(literal -1/40000 binary64)) (.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal -1 binary64)) x))
(- (* y (- (* y (- (* -1/8000000 (/ y (pow x 4))) (* 1/40000 (/ 1 (pow x 3))))) (* 1/200 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (.f64 y (fma.f64 #s(literal -1/8000000 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/40000 binary64) (.f64 x (*.f64 x x))))) (/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal -1 binary64)) x))
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ (+ 200 (* 40000 (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) #s(literal 40000 binary64) #s(literal 200 binary64)) y)
(/ (- (+ 200 (* 8000000 (/ (pow x 2) (pow y 2)))) (* -40000 (/ x y))) y)
(/.f64 (+.f64 #s(literal 200 binary64) (/.f64 (fma.f64 #s(literal 8000000 binary64) (/.f64 (.f64 x x) y) (.f64 x #s(literal 40000 binary64))) y)) y)
(/ (- (+ 200 (* 1600000000 (/ (pow x 3) (pow y 3)))) (+ (* -8000000 (/ (pow x 2) (pow y 2))) (* -40000 (/ x y)))) y)
(/.f64 (+.f64 #s(literal 200 binary64) (fma.f64 #s(literal 1600000000 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (fma.f64 #s(literal 8000000 binary64) (/.f64 (.f64 x x) y) (.f64 x #s(literal 40000 binary64))) y))) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(* -1 (/ (- (* -40000 (/ x y)) 200) y))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 40000 binary64) #s(literal 200 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 2) y)) (* -40000 x)) y)) 200) y))
(/.f64 (+.f64 #s(literal 200 binary64) (/.f64 (fma.f64 #s(literal 8000000 binary64) (/.f64 (.f64 x x) y) (.f64 x #s(literal 40000 binary64))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1600000000 (/ (pow x 3) y)) (* 8000000 (pow x 2))) y)) (* -40000 x)) y)) 200) y))
(/.f64 (+.f64 #s(literal 200 binary64) (/.f64 (fma.f64 x #s(literal 40000 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -8000000 binary64) (.f64 #s(literal -1600000000 binary64) (.f64 x (/.f64 (.f64 x x) y)))) (neg.f64 y))) y)) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(+ (* 40000 (/ x (pow y 2))) (* 200 (/ 1 y)))
(fma.f64 x (/.f64 #s(literal 40000 binary64) (*.f64 y y)) (/.f64 #s(literal 200 binary64) y))
(+ (* x (+ (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(fma.f64 x (fma.f64 (/.f64 x (.f64 y (.f64 y y))) #s(literal 8000000 binary64) (/.f64 #s(literal 40000 binary64) (*.f64 y y))) (/.f64 #s(literal 200 binary64) y))
(+ (* x (+ (* x (+ (* 1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1600000000 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8000000 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 40000 binary64) (*.f64 y y))) (/.f64 #s(literal 200 binary64) y))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/200 (/ y x)) 1) x)
(/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal -1 binary64)) x)
(/ (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/200 binary64) x) (fma.f64 y (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) y) #s(literal 1 binary64)) (neg.f64 x))
(/ (- (* -1/8000000 (/ (pow y 3) (pow x 3))) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x))))) x)
(/.f64 (+.f64 (fma.f64 #s(literal -1/8000000 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/40000 binary64) (/.f64 (.f64 y y) x) (.f64 #s(literal -1/200 binary64) y)) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 1/200 (/ y x))) x))
(/.f64 (fma.f64 #s(literal -1/200 binary64) (/.f64 y x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/40000 (/ (pow y 2) x)) (* 1/200 y)) x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/200 binary64) x) (fma.f64 y (/.f64 (*.f64 y #s(literal 1/200 binary64)) x) y) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* -1/40000 (pow y 2))) x)) (* 1/200 y)) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/200 binary64) (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (/.f64 (.f64 y (.f64 y y)) x) (.f64 y (.f64 y #s(literal 1/40000 binary64)))) x)) x)) (neg.f64 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 #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))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -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) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) (*.f64 (/.f64 y x) x) x)

rewrite246.0ms (4.3%)

Memory

35.0MiB live, 419.4MiB allocated

Rules

4 796×	`lower-/.f32`
4 788×	`lower-/.f64`
4 072×	`lower-fma.f32`
4 066×	`lower-fma.f64`
3 660×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	127
0	46	104
1	176	100
2	1319	82
0	8300	82

Stop Event

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

Counts

13 → 631

Calls

Call 1

Inputs
(/.f64 y #s(literal -200 binary64))
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1/200 binary64) x)
#s(approx (* (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
(*.f64 y #s(literal 1/200 binary64))
(fma.f64 y #s(literal -1/200 binary64) x)

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

eval287.0ms (5.1%)

Memory: -41.2MiB live, 292.0MiB allocated
Compiler: Compiled 28 142 to 2 426 computations (91.4% saved)

prune163.0ms (2.9%)

Memory

14.7MiB live, 296.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 077	1	1 078
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	1 078	5	1 083

Accuracy

100.0%

Counts

1 083 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	51.0%	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
▶	99.9%	(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (fma.f64 y #s(literal 1/200 binary64) (neg.f64 x)))
✓	50.4%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	50.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify136.0ms (2.4%)

Memory

5.7MiB live, 222.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
cost-diff	320	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))
cost-diff	448	(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (fma.f64 y #s(literal 1/200 binary64) (neg.f64 x)))
cost-diff	1600	(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))

Rules

7 044×	`lower-fma.f32`
7 040×	`lower-fma.f64`
2 842×	`lower-*.f32`
2 838×	`lower-*.f64`
1 570×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	64
0	22	72
1	47	72
2	121	72
3	275	48
4	811	30
5	3265	30
6	6644	30
0	8072	30

Stop Event

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

Calls

Call 1

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

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

localize58.0ms (1%)

Memory

-26.6MiB live, 134.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.014003759768442016	(-.f64 (*.f64 y #s(literal 1/200 binary64)) x)
accuracy	0.0546875	(fma.f64 y #s(literal 1/200 binary64) (neg.f64 x))
accuracy	0.0546875	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.125	(*.f64 y #s(literal 1/200 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

const: 15.0ms (52.7% of total)

ival-mult: 7.0ms (24.6% of total)

ival-div: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify214.0ms (3.8%)

Memory

11.6MiB live, 241.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 072×	`lower-fma.f64`
3 072×	`lower-fma.f32`
2 496×	`lower-*.f64`
2 496×	`lower-*.f32`
2 288×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	498
1	79	498
2	229	498
3	625	498
4	1609	498
5	2753	498
6	3494	498
7	3805	498
8	4079	498
9	4237	498
10	5342	498
11	6102	498
12	6832	498
13	7332	498
14	7586	498
0	8094	462

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 150

Calls

Call 1

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

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

rewrite56.0ms (1%)

Memory

-3.9MiB live, 71.7MiB allocated

Rules

540×	`lower-fma.f32`
536×	`lower-fma.f64`
490×	`lower-*.f32`
484×	`lower-*.f64`
314×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	22	53
1	87	53
0	835	53

Stop Event

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

Counts

7 → 196

Calls

Call 1

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

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

eval61.0ms (1.1%)

Memory: -5.5MiB live, 125.5MiB allocated
Compiler: Compiled 7 688 to 568 computations (92.6% saved)

prune33.0ms (0.6%)

Memory

4.8MiB live, 88.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	345	1	346
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	346	5	351

Accuracy

100.0%

Counts

351 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	51.0%	(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
	99.9%	(.f64 (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (fma.f64 y #s(literal 1/200 binary64) (neg.f64 x)))
✓	50.4%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	50.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 152 to 64 computations (57.9% saved)

regimes14.0ms (0.3%)

Memory

-6.7MiB live, 32.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#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)))
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(approx ( (+ (* y -1/200) x) (/ 1 (+ (* y 1/200) x))) (fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (fma.f64 y #s(literal 1/200 binary64) (neg.f64 x)))
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (fma.f64 y #s(literal 1/200 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))

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

Calls

4 calls:

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

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)

regimes9.0ms (0.2%)

Memory

-21.2MiB live, 17.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#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)

regimes5.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
1.0ms	(/.f64 y #s(literal 200 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`y`
50.3%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
50.3%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`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 y #s(literal -1/200 binary64)))

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

soundness542.0ms (9.6%)

Memory

-25.9MiB live, 129.1MiB allocated

Rules

3 368×	`lower-fma.f64`
3 368×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
3 160×	`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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess42.0ms (0.7%)

Memory: 6.6MiB live, 45.0MiB 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (18.3%)

explain79.0ms (1.4%)

preprocess31.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize17.0ms (0.3%)

series33.0ms (0.6%)

simplify235.0ms (4.2%)

rewrite189.0ms (3.3%)

eval23.0ms (0.4%)

prune22.0ms (0.4%)

simplify213.0ms (3.8%)

localize70.0ms (1.2%)

series13.0ms (0.2%)

simplify356.0ms (6.3%)

rewrite360.0ms (6.4%)

eval272.0ms (4.8%)

prune214.0ms (3.8%)

simplify196.0ms (3.5%)

localize117.0ms (2.1%)

series25.0ms (0.4%)

simplify269.0ms (4.8%)

rewrite246.0ms (4.3%)

eval287.0ms (5.1%)

prune163.0ms (2.9%)

simplify136.0ms (2.4%)

localize58.0ms (1%)

series5.0ms (0.1%)

simplify214.0ms (3.8%)

rewrite56.0ms (1%)

eval61.0ms (1.1%)

prune33.0ms (0.6%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

simplify7.0ms (0.1%)

soundness542.0ms (9.6%)

preprocess42.0ms (0.7%)

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