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

0.5MiB live, 0.5MiB 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)

sample640.0ms (13%)

Memory

-40.4MiB live, 799.8MiB allocated

Samples

385.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 160.0ms (73.8% of total)

ival-sub: 44.0ms (20.3% of total)

ival-true: 6.0ms (2.8% of total)

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain155.0ms (3.2%)

Memory

-6.7MiB live, 114.4MiB 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

19.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (54.1% of total)

ival-sub: 2.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess27.0ms (0.6%)

Memory

23.9MiB live, 62.8MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify13.0ms (0.3%)

Memory

-19.7MiB live, 18.9MiB 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 (0.4%)

Memory

-6.3MiB live, 34.9MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (54.9% of total)

ival-sub: 1.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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
0.0ms	y	@	inf	(- x (/ y 200))
0.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	0	(/ y 200)
0.0ms	x	@	inf	(- x (/ y 200))

simplify446.0ms (9.1%)

Memory

28.1MiB live, 300.1MiB 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)

rewrite262.0ms (5.3%)

Memory

0.0MiB live, 363.8MiB 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))))

eval34.0ms (0.7%)

Memory: -2.8MiB live, 36.3MiB allocated
Compiler: Compiled 3 392 to 382 computations (88.7% saved)

prune88.0ms (1.8%)

Memory

-22.8MiB live, 54.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	5	164

Accuracy

100.0%

Counts

164 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶	54.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify19.0ms (0.4%)

Memory

-9.4MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.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	128	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
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

144×	`lower-fma.f32`
142×	`lower-fma.f64`
96×	`lower-*.f32`
92×	`lower-*.f64`
64×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	21	53
1	35	53
2	60	53
3	96	48
4	131	48
5	188	48
6	254	48
7	300	48
8	347	48
9	372	48
10	382	48
0	382	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize81.0ms (1.7%)

Memory

8.6MiB live, 83.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.078125	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
accuracy	0.0078125	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
accuracy	0.13671875	(*.f64 y #s(literal 1/200 binary64))
accuracy	0.13671875	(*.f64 y #s(literal -1/200 binary64))
accuracy	29.208235002616057	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Samples

29.0ms

256×

valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 6.0ms (32.1% of total)

ival-div: 5.0ms (26.8% of total)

ival-mult: 3.0ms (16.1% of total)

ival-sub: 2.0ms (10.7% of total)

ival-add: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

7 → 144

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

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

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1 (+ (* y -1/200) x))
0.0ms	y	@	inf	(/ 1 (+ (* y -1/200) x))
0.0ms	x	@	-inf	(/ 1 (+ (* y -1/200) x))
0.0ms	x	@	0	(/ 1 (+ (* y -1/200) x))
0.0ms	y	@	0	(/ 1 (+ (* y -1/200) x))

simplify847.0ms (17.3%)

Memory

-9.7MiB live, 549.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 036×	`lower-fma.f64`
14 036×	`lower-fma.f32`
4 130×	`lower-*.f64`
4 130×	`lower-*.f32`
2 110×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	842
1	464	836
2	1216	814
3	3726	786
0	8091	679

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 132

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)
(* -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 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)
(/ (- (* -40000 (/ x y)) 200) y)
(/ (- (* -8000000 (/ (pow x 2) (pow y 2))) (+ 200 (* 40000 (/ x y)))) y)
(/ (- (* -1600000000 (/ (pow x 3) (pow y 3))) (+ 200 (+ (* 40000 (/ x y)) (* 8000000 (/ (pow x 2) (pow y 2)))))) y)
(/ -200 y)
(* -1 (/ (+ 200 (* 40000 (/ x y))) y))
(* -1 (/ (+ 200 (* -1 (/ (- (* -8000000 (/ (pow x 2) y)) (* 40000 x)) y))) y))
(* -1 (/ (+ 200 (* -1 (/ (- (* -1 (/ (- (* 1600000000 (/ (pow x 3) y)) (* -8000000 (pow x 2))) y)) (* 40000 x)) y))) 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)))) (+ (* -1/200 (/ y x)) (* -1/40000 (/ (pow y 2) (pow x 2))))) 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))
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)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -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) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* 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))
(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 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))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/40000 binary64) x) #s(literal 1/200 binary64)) #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 (.f64 y (.f64 y #s(literal 1/8000000 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/40000 binary64) x) #s(literal 1/200 binary64)) #s(literal 1 binary64)) x))
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ (- (* -40000 (/ x y)) 200) y)
(/.f64 (fma.f64 (/.f64 x y) #s(literal -40000 binary64) #s(literal -200 binary64)) y)
(/ (- (* -8000000 (/ (pow x 2) (pow y 2))) (+ 200 (* 40000 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal -8000000 binary64) y) #s(literal -40000 binary64)) #s(literal -200 binary64)) y)
(/ (- (* -1600000000 (/ (pow x 3) (pow y 3))) (+ 200 (+ (* 40000 (/ x y)) (* 8000000 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (-.f64 #s(literal -200 binary64) (/.f64 (fma.f64 x #s(literal 40000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 1600000000 binary64) #s(literal 8000000 binary64))) y)) y)) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(* -1 (/ (+ 200 (* 40000 (/ x y))) y))
(/.f64 (fma.f64 (/.f64 x y) #s(literal -40000 binary64) #s(literal -200 binary64)) y)
(* -1 (/ (+ 200 (* -1 (/ (- (* -8000000 (/ (pow x 2) y)) (* 40000 x)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal -8000000 binary64) y) #s(literal -40000 binary64)) #s(literal -200 binary64)) y)
(* -1 (/ (+ 200 (* -1 (/ (- (* -1 (/ (- (* 1600000000 (/ (pow x 3) y)) (* -8000000 (pow x 2))) y)) (* 40000 x)) y))) y))
(/.f64 (-.f64 #s(literal -200 binary64) (/.f64 (fma.f64 x #s(literal 40000 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 x y) #s(literal 1600000000 binary64) #s(literal 8000000 binary64))) 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)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal -8000000 binary64) 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 (/.f64 (.f64 (.f64 x x) #s(literal -1600000000 binary64)) (.f64 y (.f64 y (*.f64 y y)))) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal -8000000 binary64) y) #s(literal -40000 binary64)) #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 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/40000 binary64) x) #s(literal 1/200 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/8000000 (/ (pow y 3) (pow x 3)))) (+ (* -1/200 (/ y x)) (* -1/40000 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/200 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal -1/8000000 binary64) #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 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 1/40000 binary64) x) #s(literal 1/200 binary64)) #s(literal 1 binary64)) 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 #s(literal -1/200 binary64) y (/.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 y x) #s(literal -1/8000000 binary64) #s(literal -1/40000 binary64))) 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))
(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)

rewrite275.0ms (5.6%)

Memory

4.0MiB live, 474.1MiB allocated

Rules

6 172×	`lower-fma.f32`
6 170×	`lower-fma.f64`
3 516×	`lower-*.f32`
3 512×	`lower-*.f64`
2 648×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
0	21	36
1	85	32
2	529	32
3	7576	32
0	8253	32

Stop Event

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

Counts

7 → 678

Calls

Call 1

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

eval133.0ms (2.7%)

Memory: 24.9MiB live, 356.1MiB allocated
Compiler: Compiled 23 787 to 1 162 computations (95.1% saved)

prune93.0ms (1.9%)

Memory

0.9MiB live, 193.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 014	1	1 015
Fresh	0	0	0
Picked	0	4	4
Done	1	0	1
Total	1 015	5	1 020

Accuracy

100.0%

Counts

1 020 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶	54.4%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	54.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify14.0ms (0.3%)

Memory

-18.6MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.5%)

Memory

18.8MiB live, 53.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal -200 binary64))
accuracy	29.208235002616057	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

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

ival-div: 8.0ms (78.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

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

Calls

9 calls:

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

simplify294.0ms (6%)

Memory

-4.8MiB live, 268.5MiB 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	1250	138
5	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

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

rewrite228.0ms (4.6%)

Memory

-26.1MiB live, 269.5MiB allocated

Rules

2 862×	`lower-*.f64`
2 862×	`lower-*.f32`
2 754×	`lower-fma.f64`
2 754×	`lower-fma.f32`
2 540×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 56

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 17.6MiB live, 17.6MiB allocated
Compiler: Compiled 577 to 112 computations (80.6% saved)

prune13.0ms (0.3%)

Memory

-15.0MiB live, 23.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	88	6	94

Accuracy

100.0%

Counts

94 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	54.4%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶	2.2%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	54.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 41 to 28 computations (31.7% saved)

simplify12.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

9.8MiB live, 46.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.13671875	(*.f64 y #s(literal 1/200 binary64))
accuracy	62.58181774362723	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

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

const: 3.0ms (34.8% of total)

ival-div: 2.0ms (23.2% of total)

ival-mult: 2.0ms (23.2% of total)

ival-sub: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

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

Calls

9 calls:

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

simplify389.0ms (7.9%)

Memory

-12.3MiB live, 302.2MiB 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	1250	138
5	2461	138
6	3264	138
7	3600	138
8	3896	138
9	4079	138
10	5224	138
11	6020	138
12	6788	138
13	7056	138
14	7836	138
0	8372	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

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

rewrite245.0ms (5%)

Memory

4.1MiB live, 439.5MiB allocated

Rules

3 750×	`lower-fma.f64`
3 750×	`lower-fma.f32`
3 446×	`lower-*.f32`
3 444×	`lower-*.f64`
2 920×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 40

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: 21.5MiB live, 21.5MiB allocated
Compiler: Compiled 457 to 93 computations (79.6% saved)

prune12.0ms (0.2%)

Memory

1.0MiB live, 38.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	73	6	79

Accuracy

100.0%

Counts

79 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	54.4%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	2.2%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	54.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))

Compiler

Compiled 77 to 44 computations (42.9% saved)

regimes18.0ms (0.4%)

Memory

0.8MiB live, 40.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

9.0ms	(/.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)

regimes11.0ms (0.2%)

Memory

-8.3MiB live, 30.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
#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	(/.f64 y #s(literal 200 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

-18.9MiB live, 20.6MiB allocated

Accuracy

Total -33.7b remaining (-115.1%)

Threshold costs -33.7b (-115.1%)

Counts

2 → 1

Calls

Call 1

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

2.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
54.3%	1	`x`
54.3%	1	`y`
54.3%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
54.3%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB 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)))

soundness429.0ms (8.7%)

Memory

-5.0MiB live, 245.2MiB 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	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
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess24.0ms (0.5%)

Memory: -13.5MiB live, 63.8MiB 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	15	54
0	21	53
1	35	53
2	60	53
3	96	48
4	131	48
5	188	48
6	254	48
7	300	48
8	347	48
9	372	48
10	382	48
0	382	48

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

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

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

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

Iter	Nodes	Cost
0	15	54
0	21	53
1	35	53
2	60	53
3	96	48
4	131	48
5	188	48
6	254	48
7	300	48
8	347	48
9	372	48
10	382	48
0	382	48

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample640.0ms (13%)

explain155.0ms (3.2%)

preprocess27.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.3%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

simplify446.0ms (9.1%)

rewrite262.0ms (5.3%)

eval34.0ms (0.7%)

prune88.0ms (1.8%)

simplify19.0ms (0.4%)

localize81.0ms (1.7%)

series7.0ms (0.1%)

simplify847.0ms (17.3%)

rewrite275.0ms (5.6%)

eval133.0ms (2.7%)

prune93.0ms (1.9%)

simplify14.0ms (0.3%)

localize22.0ms (0.5%)

series1.0ms (0%)

simplify294.0ms (6%)

rewrite228.0ms (4.6%)

eval9.0ms (0.2%)

prune13.0ms (0.3%)

simplify12.0ms (0.2%)

localize24.0ms (0.5%)

series1.0ms (0%)

simplify389.0ms (7.9%)

rewrite245.0ms (5%)

eval7.0ms (0.2%)

prune12.0ms (0.2%)

regimes18.0ms (0.4%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

simplify7.0ms (0.1%)

soundness429.0ms (8.7%)

preprocess24.0ms (0.5%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	15	54
0	21	53
1	35	53
2	60	53
3	96	48
4	131	48
5	188	48
6	254	48
7	300	48
8	347	48
9	372	48
10	382	48
0	382	48

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

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