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

0.4MiB live, 0.4MiB 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)

sample596.0ms (17.2%)

Memory

33.1MiB live, 746.7MiB allocated

Samples

340.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-div: 83.0ms (61.1% of total)

ival-sub: 39.0ms (28.7% of total)

ival-true: 6.0ms (4.4% of total)

exact: 4.0ms (2.9% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain164.0ms (4.7%)

Memory

-41.7MiB live, 62.4MiB 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

48.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (53.2% of total)

ival-sub: 2.0ms (26.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.7%)

Memory

26.4MiB live, 26.4MiB 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 #s(literal -1/200 binary64) y x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify30.0ms (0.9%)

Memory

-29.7MiB live, 8.3MiB 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 #s(literal -1/200 binary64) y x)
x
(/.f64 y #s(literal 200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 200 binary64)

localize13.0ms (0.4%)

Memory

26.5MiB live, 26.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

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 (54.8% of total)

ival-sub: 1.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-27.2MiB live, 9.0MiB 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 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 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 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 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 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>) () ())) ())
#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>) () ())) ())

Calls

6 calls:

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

simplify206.0ms (5.9%)

Memory

23.4MiB live, 141.6MiB 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	1249	138
5	2477	138
6	3282	138
7	3618	138
8	3914	138
9	4095	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	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)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

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

rewrite181.0ms (5.2%)

Memory

13.2MiB live, 251.4MiB 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
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.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 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
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(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x))))
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(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x))) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/40000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))

eval52.0ms (1.5%)

Memory: -27.6MiB live, 46.7MiB allocated
Compiler: Compiled 2 670 to 399 computations (85.1% saved)

prune5.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accuracy

100.0%

Counts

164 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶	49.2%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 18 to 19 computations (-5.6% saved)

simplify9.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

128×	`lower-fma.f32`
126×	`lower-fma.f64`
80×	`lower-*.f32`
76×	`lower-*.f64`
52×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	17	33
1	27	31
2	42	31
3	58	30
4	75	30
5	98	30
6	144	30
7	177	30
8	217	30
9	243	30
10	260	30
0	260	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize169.0ms (4.9%)

Memory

-61.1MiB live, 44.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
accuracy	0.1796875	(*.f64 y #s(literal 1/200 binary64))
accuracy	0.1796875	(*.f64 #s(literal -1/200 binary64) y)
accuracy	32.45188786290471	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Samples

67.0ms

256×

valid

Compiler

Compiled 31 to 14 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 43.0ms (74.1% of total)

const: 6.0ms (10.3% of total)

ival-mult: 5.0ms (8.6% of total)

ival-sub: 2.0ms (3.4% of total)

ival-true: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

6 calls:

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

simplify448.0ms (12.9%)

Memory

25.4MiB live, 135.1MiB 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	378
1	68	378
2	170	378
3	455	378
4	1250	378
5	2475	378
6	3277	378
7	3613	378
8	3909	378
9	4090	378
10	5236	378
11	6032	378
12	6800	378
13	7068	378
14	7848	378
0	8384	324

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite216.0ms (6.2%)

Memory

1.2MiB live, 268.5MiB allocated

Rules

5 608×	`lower-fma.f32`
5 606×	`lower-fma.f64`
3 436×	`lower-*.f32`
3 432×	`lower-*.f64`
2 390×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	24
0	17	25
1	64	22
2	431	22
3	6619	22
0	8085	22

Stop Event

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

Counts

5 → 281

Calls

Call 1

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

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/200 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) y))
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 y #s(literal -1/200 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) y)))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/200 binary64) y)))))
(/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal -200 binary64))
(neg.f64 (*.f64 #s(literal 1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x (fma.f64 #s(literal -1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (neg.f64 x) x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/200 binary64) y x) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/200 binary64) y x) (/.f64 (-.f64 (.f64 #s(literal -1/200 binary64) y) x) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))
(.f64 (fma.f64 #s(literal -1/200 binary64) y x) (.f64 (-.f64 (*.f64 #s(literal -1/200 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/40000 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/40000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8000000 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/64000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 1/200 binary64) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/200 binary64) y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal -1/200 binary64) y) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 #s(literal -1/200 binary64) y) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/200 binary64) y) x) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -9 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8000000 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/200 binary64) y) x) (+.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/40000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/40000 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/512000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (-.f64 (fma.f64 #s(literal 1/64000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 1/200 binary64) y) x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/200 binary64) y x)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)) (neg.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (.f64 x (fma.f64 #s(literal -1/200 binary64) y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/200 binary64)) (/.f64 #s(literal -1/200 binary64) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/40000 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (.f64 #s(literal -1/200 binary64) y) (/.f64 (.f64 #s(literal -1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (.f64 #s(literal 1/200 binary64) y) (/.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1/200 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/200 binary64)) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1/200 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/200 binary64)) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 y (/.f64 (.f64 #s(literal 1/40000 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))

eval46.0ms (1.3%)

Memory: -8.8MiB live, 150.8MiB allocated
Compiler: Compiled 6 723 to 472 computations (93% saved)

prune13.0ms (0.4%)

Memory

14.7MiB live, 53.2MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	367	1	368
Fresh	0	0	0
Picked	0	3	3
Done	1	0	1
Total	368	4	372

Accuracy

100.0%

Counts

372 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶	49.3%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	49.2%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 17 to 19 computations (-11.8% saved)

simplify10.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB 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 #s(literal -1/200 binary64) y))
(/.f64 y #s(literal -200 binary64))
(*.f64 #s(literal -1/200 binary64) y)
y
#s(literal -200 binary64)

localize21.0ms (0.6%)

Memory

-42.1MiB live, 20.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal -200 binary64))
accuracy	32.45188786290471	#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: 7.0ms

ival-div: 4.0ms (60.5% of total)

ival-sub: 1.0ms (15.1% of total)

ival-assert: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

#s(alt #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 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 (/.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 #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 (/.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 #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>) () ())) ())
#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>) () ())) ())

Calls

6 calls:

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

simplify176.0ms (5.1%)

Memory

22.5MiB live, 132.7MiB 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	456	138
4	1245	138
5	2470	138
6	3272	138
7	3608	138
8	3904	138
9	4087	138
10	5232	138
11	6028	138
12	6796	138
13	7064	138
14	7844	138
0	8380	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)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

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

rewrite119.0ms (3.4%)

Memory

6.3MiB live, 157.2MiB 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 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal -1/200 binary64) y))
(/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(/.f64 y #s(literal -200 binary64))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

eval24.0ms (0.7%)

Memory: 3.5MiB live, 49.0MiB allocated
Compiler: Compiled 562 to 166 computations (70.5% saved)

prune6.0ms (0.2%)

Memory

-18.7MiB live, 19.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Accuracy

100.0%

Counts

93 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	49.3%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶	2.4%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	49.2%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify10.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB 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)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 1/200 binary64)

localize27.0ms (0.8%)

Memory

-11.1MiB live, 60.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.1796875	(*.f64 y #s(literal 1/200 binary64))
accuracy	62.44016044395746	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

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

const: 5.0ms (39.6% of total)

ival-sub: 4.0ms (31.7% of total)

ival-div: 2.0ms (15.8% of total)

ival-mult: 2.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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 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 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 #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 (.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 #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 -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 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>) () ())) ())

Calls

6 calls:

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

simplify170.0ms (4.9%)

Memory

6.7MiB live, 129.0MiB 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	2475	138
6	3277	138
7	3613	138
8	3909	138
9	4090	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

rewrite199.0ms (5.7%)

Memory

-11.4MiB live, 158.3MiB 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 #s(literal 1/200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -200 binary64) y))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y)))

eval7.0ms (0.2%)

Memory: 13.6MiB live, 13.6MiB allocated
Compiler: Compiled 447 to 133 computations (70.2% saved)

prune7.0ms (0.2%)

Memory

-24.9MiB live, 13.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

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

Accuracy

100.0%

Counts

78 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	49.3%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	2.4%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	49.2%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 47 to 40 computations (14.9% saved)

regimes11.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	(/.f64 y #s(literal 200 binary64))
3.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
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 10 to 13 computations (-30% saved)

regimes20.0ms (0.6%)

Memory

-13.7MiB live, 31.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

12.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 y #s(literal 200 binary64))

Results

Accuracy	Segments	Branch
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 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Accuracy

Total -30.5b remaining (-93.6%)

Threshold costs -30.5b (-93.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`y`
49.2%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
49.2%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify53.0ms (1.5%)

Memory

-32.9MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness395.0ms (11.4%)

Memory

6.3MiB live, 162.4MiB allocated

Rules

3 368×	`lower-fma.f64`
3 368×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
3 160×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7
0	25	138
1	68	138
2	170	138
3	455	138
4	1249	138
5	2477	138
6	3282	138
7	3618	138
8	3914	138
9	4095	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	120

Stop Event

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

Compiler

Compiled 25 to 20 computations (20% saved)

preprocess24.0ms (0.7%)

Memory: 25.6MiB live, 62.6MiB allocated
Compiler: Compiled 36 to 28 computations (22.2% 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	12	32
0	17	33
1	27	31
2	42	31
3	58	30
4	75	30
5	98	30
6	144	30
7	177	30
8	217	30
9	243	30
10	260	30
0	260	30

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	12	32
0	17	33
1	27	31
2	42	31
3	58	30
4	75	30
5	98	30
6	144	30
7	177	30
8	217	30
9	243	30
10	260	30
0	260	30

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%)

sample596.0ms (17.2%)

explain164.0ms (4.7%)

preprocess24.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.9%)

localize13.0ms (0.4%)

series7.0ms (0.2%)

simplify206.0ms (5.9%)

rewrite181.0ms (5.2%)

eval52.0ms (1.5%)

prune5.0ms (0.1%)

simplify9.0ms (0.3%)

localize169.0ms (4.9%)

series4.0ms (0.1%)

simplify448.0ms (12.9%)

rewrite216.0ms (6.2%)

eval46.0ms (1.3%)

prune13.0ms (0.4%)

simplify10.0ms (0.3%)

localize21.0ms (0.6%)

series2.0ms (0.1%)

simplify176.0ms (5.1%)

rewrite119.0ms (3.4%)

eval24.0ms (0.7%)

prune6.0ms (0.2%)

simplify10.0ms (0.3%)

localize27.0ms (0.8%)

series2.0ms (0.1%)

simplify170.0ms (4.9%)

rewrite199.0ms (5.7%)

eval7.0ms (0.2%)

prune7.0ms (0.2%)

regimes11.0ms (0.3%)

regimes20.0ms (0.6%)

regimes7.0ms (0.2%)

simplify53.0ms (1.5%)

soundness395.0ms (11.4%)

preprocess24.0ms (0.7%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	12	32
0	17	33
1	27	31
2	42	31
3	58	30
4	75	30
5	98	30
6	144	30
7	177	30
8	217	30
9	243	30
10	260	30
0	260	30

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