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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB 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)

sample493.0ms (12.8%)

Memory

6.9MiB live, 951.9MiB allocated

Samples

298.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-div: 92.0ms (61.6% of total)

ival-sub: 44.0ms (29.5% of total)

ival-true: 6.0ms (4% of total)

exact: 4.0ms (2.7% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain50.0ms (1.3%)

Memory

-7.5MiB live, 74.2MiB 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

20.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

preprocess26.0ms (0.7%)

Memory

-2.8MiB live, 34.5MiB 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 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB 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)

localize20.0ms (0.5%)

Memory

-11.0MiB live, 25.6MiB 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

16.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 9.0ms (81.5% of total)

ival-sub: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

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

simplify209.0ms (5.4%)

Memory

-20.2MiB live, 101.6MiB 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)

rewrite279.0ms (7.3%)

Memory

7.2MiB live, 163.2MiB 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 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
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(/.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/200 binary64) y) x))))
(/.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 #s(literal 1/200 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 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 (.f64 (.f64 x x) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x)) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y))))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1/8000000 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))

eval77.0ms (2%)

Memory: 4.2MiB live, 38.6MiB allocated
Compiler: Compiled 3 392 to 383 computations (88.7% saved)

prune44.0ms (1.1%)

Memory

-26.6MiB live, 50.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

100.0%

Counts

164 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	46.5%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify11.0ms (0.3%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (1.1%)

Memory

9.5MiB live, 48.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.140625	(*.f64 #s(literal -1/200 binary64) y)
accuracy	34.163359896107565	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Samples

36.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

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

const: 4.0ms (30.8% of total)

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

ival-div: 2.0ms (15.4% of total)

ival-add: 2.0ms (15.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series38.0ms (1%)

Memory

-29.7MiB live, 7.3MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

Outputs
#s(alt 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 (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 (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 (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 (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 (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 (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) (+ (* y -1/200) x))
0.0ms	y	@	-inf	((- x (/ y 200)) (* -1/200 y) (+ (* y -1/200) x))
0.0ms	y	@	0	((- x (/ y 200)) (* -1/200 y) (+ (* y -1/200) x))
0.0ms	x	@	inf	((- x (/ y 200)) (* -1/200 y) (+ (* y -1/200) x))
0.0ms	x	@	-inf	((- x (/ y 200)) (* -1/200 y) (+ (* y -1/200) x))

simplify208.0ms (5.4%)

Memory

23.3MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
2 384×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	240
1	68	240
2	170	240
3	456	240
4	1244	240
5	2466	240
6	3268	240
7	3604	240
8	3900	240
9	4084	240
10	5232	240
11	6028	240
12	6796	240
13	7064	240
14	7844	240
0	8380	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

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)
(* 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)
(- 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
(* -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 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 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 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
(* -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)

rewrite282.0ms (7.3%)

Memory

-7.9MiB live, 174.8MiB allocated

Rules

4 868×	`lower-fma.f32`
4 866×	`lower-fma.f64`
3 436×	`lower-*.f32`
3 434×	`lower-*.f64`
2 340×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

3 → 141

Calls

Call 1

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

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

eval63.0ms (1.6%)

Memory: 11.6MiB live, 48.6MiB allocated
Compiler: Compiled 4 313 to 379 computations (91.2% saved)

prune69.0ms (1.8%)

Memory

6.3MiB live, 54.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	0	0
Picked	0	2	2
Done	1	0	1
Total	195	3	198

Accuracy

100.0%

Counts

198 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	46.6%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	46.5%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify50.0ms (1.3%)

Memory

-19.5MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

35.0MiB live, 35.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal -200 binary64))
accuracy	34.163359896107565	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (72.4% of total)

ival-sub: 1.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (1.1%)

Memory

-33.1MiB live, 5.5MiB 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
39.0ms	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)))

simplify272.0ms (7.1%)

Memory

1.9MiB live, 172.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
2 384×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	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)

rewrite228.0ms (5.9%)

Memory

-5.5MiB live, 116.9MiB 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 -1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal 1/200 binary64))
(.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1/200 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) y) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 (.f64 #s(literal -1/8000000 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(/.f64 y #s(literal -200 binary64))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

eval9.0ms (0.2%)

Memory: 10.8MiB live, 10.8MiB allocated
Compiler: Compiled 577 to 112 computations (80.6% saved)

prune16.0ms (0.4%)

Memory

-20.3MiB live, 18.2MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Accuracy

100.0%

Counts

92 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	46.6%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶	2.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	46.5%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify10.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB 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)

localize47.0ms (1.2%)

Memory

-14.3MiB live, 23.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.140625	(*.f64 y #s(literal 1/200 binary64))
accuracy	62.53538970283996	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

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

const: 3.0ms (35.4% of total)

ival-div: 2.0ms (23.6% of total)

ival-mult: 2.0ms (23.6% of total)

ival-sub: 1.0ms (11.8% 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

5.3MiB live, 5.3MiB 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))

simplify223.0ms (5.8%)

Memory

21.7MiB live, 101.8MiB 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)

rewrite226.0ms (5.9%)

Memory

-28.5MiB live, 172.9MiB 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 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y)))

eval7.0ms (0.2%)

Memory: 16.0MiB live, 16.0MiB allocated
Compiler: Compiled 457 to 93 computations (79.6% saved)

prune9.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	73	4	77

Accuracy

100.0%

Counts

77 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	46.6%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	2.3%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	46.5%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes35.0ms (0.9%)

Memory

-17.5MiB live, 19.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes123.0ms (3.2%)

Memory

-23.1MiB live, 21.4MiB allocated

Accuracy

Total -28.9b remaining (-84.4%)

Threshold costs -28.9b (-84.4%)

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:

117.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	y
2.0ms	(/.f64 y #s(literal 200 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
46.5%	1	`x`
46.5%	1	`y`
46.5%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
46.5%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

soundness556.0ms (14.4%)

Memory

-11.7MiB live, 218.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	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
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess40.0ms (1%)

Memory: 34.6MiB live, 113.0MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

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

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

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample493.0ms (12.8%)

explain50.0ms (1.3%)

preprocess26.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.2%)

localize20.0ms (0.5%)

series3.0ms (0.1%)

simplify209.0ms (5.4%)

rewrite279.0ms (7.3%)

eval77.0ms (2%)

prune44.0ms (1.1%)

simplify11.0ms (0.3%)

localize42.0ms (1.1%)

series38.0ms (1%)

simplify208.0ms (5.4%)

rewrite282.0ms (7.3%)

eval63.0ms (1.6%)

prune69.0ms (1.8%)

simplify50.0ms (1.3%)

localize15.0ms (0.4%)

series41.0ms (1.1%)

simplify272.0ms (7.1%)

rewrite228.0ms (5.9%)

eval9.0ms (0.2%)

prune16.0ms (0.4%)

simplify10.0ms (0.3%)

localize47.0ms (1.2%)

series2.0ms (0.1%)

simplify223.0ms (5.8%)

rewrite226.0ms (5.9%)

eval7.0ms (0.2%)

prune9.0ms (0.2%)

regimes35.0ms (0.9%)

regimes9.0ms (0.2%)

regimes123.0ms (3.2%)

simplify7.0ms (0.2%)

soundness556.0ms (14.4%)

preprocess40.0ms (1%)

end0.0ms (0%)

Profiling

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

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

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

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

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