Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample971.0ms (15.1%)

Memory

-0.5MiB live, 1 084.0MiB allocated

Samples

760.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-mult: 257.0ms (69.8% of total)

ival-add: 56.0ms (15.2% of total)

ival-sub: 46.0ms (12.5% of total)

ival-true: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain422.0ms (6.6%)

Memory

-20.8MiB live, 100.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (+.f64 x y) (*.f64 x y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`(*.f64 x y)`
-	-	`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

378.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult: 360.0ms (98.6% of total)

ival-add: 3.0ms (0.8% of total)

ival-sub: 2.0ms (0.5% of total)

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

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

preprocess52.0ms (0.8%)

Memory

8.5MiB live, 86.2MiB allocated

Algorithm

1×	egg-herbie

Rules

496×	`lower-fma.f64`
496×	`lower-fma.f32`
234×	`cancel-sign-sub-inv`
200×	`sub-neg`
192×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	56	35
2	165	35
3	450	35
4	957	35
5	1224	35
6	1248	35
0	5	7
0	8	7
1	17	7
2	37	7
3	66	7
4	108	7
5	223	7
6	346	7
7	509	7
8	544	7
9	546	7
0	546	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))

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

Symmetry

(sort x y)

Compiler

Compiled 9 to 5 computations (44.4% 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 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify27.0ms (0.4%)

Memory

-29.2MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(+.f64 x y)
cost-diff	128	(-.f64 (+.f64 x y) (*.f64 x y))

Rules

496×	`lower-fma.f64`
496×	`lower-fma.f32`
192×	`lower-*.f32`
190×	`lower-*.f64`
136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	17	15
2	37	15
3	66	15
4	108	15
5	223	15
6	346	15
7	509	15
8	544	15
9	546	15
0	546	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x y)
x
y
(*.f64 x y)

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

localize16.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (+.f64 x y) (*.f64 x y))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 2.0ms (44.3% of total)

ival-sub: 1.0ms (22.2% of total)

ival-add: 1.0ms (22.2% of total)

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

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

series5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify448.0ms (7%)

Memory

-16.6MiB live, 366.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
4 002×	`associate-*r/`
3 856×	`lower-/.f32`
3 856×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	280
1	125	280
2	282	280
3	843	280
4	2196	280
5	3219	280
6	4113	280
7	4716	280
8	5053	280
9	5271	280
10	5366	280
11	5406	280
12	5426	280
13	5426	280
14	5444	280
15	5444	280
0	9619	262

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 64

Calls

Call 1

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

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

rewrite357.0ms (5.6%)

Memory

16.0MiB live, 421.7MiB allocated

Rules

5 194×	`lower-fma.f64`
5 194×	`lower-fma.f32`
4 332×	`lower-*.f32`
4 330×	`lower-*.f64`
2 332×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	41	13
2	356	13
3	5362	13
0	8304	13

Stop Event

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

Counts

3 → 189

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x y)
(*.f64 x y)

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

eval28.0ms (0.4%)

Memory: 15.6MiB live, 53.4MiB allocated
Compiler: Compiled 7 392 to 551 computations (92.5% saved)

prune39.0ms (0.6%)

Memory

-4.3MiB live, 67.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	250	3	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	3	254

Accuracy

100.0%

Counts

254 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
▶	61.7%	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y)))
▶	62.6%	#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 x y)))

Compiler

Compiled 25 to 13 computations (48% saved)

simplify27.0ms (0.4%)

Memory

-17.7MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

496×	`lower-fma.f32`
494×	`lower-fma.f64`
192×	`lower-*.f32`
190×	`lower-*.f64`
136×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	72
0	20	73
1	38	73
2	63	69
3	95	69
4	172	69
5	297	69
6	445	69
7	544	69
8	549	69
0	549	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

17.7MiB live, 53.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
accuracy	0.00390625	(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
accuracy	0	(-.f64 y (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	24.503597460265436	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y)))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 x (*.f64 x y))
accuracy	23.936240231576665	#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 x y)))

Samples

86.0ms

256×

valid

Compiler

Compiled 56 to 13 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sub: 70.0ms (91.4% of total)

ival-add: 3.0ms (3.9% of total)

ival-mult: 3.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-23.2MiB live, 15.0MiB allocated

Counts

8 → 180

Calls

Call 1

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

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

Calls

6 calls:

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

simplify226.0ms (3.5%)

Memory

26.6MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 142×	`lower-*.f64`
4 142×	`lower-*.f32`
3 496×	`lower-fma.f64`
3 496×	`lower-fma.f32`
2 100×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	953
1	203	924
2	463	924
3	1402	924
4	2762	924
5	3747	924
6	4335	924
7	5032	924
8	5545	924
9	6071	924
10	7100	924
0	8074	852

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 170

Calls

Call 1

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

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

rewrite342.0ms (5.3%)

Memory

6.4MiB live, 538.5MiB allocated

Rules

5 912×	`lower-fma.f32`
5 910×	`lower-fma.f64`
4 754×	`lower-*.f32`
4 752×	`lower-*.f64`
4 134×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	20	63
1	98	63
2	794	59
0	8427	59

Stop Event

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

Counts

8 → 326

Calls

Call 1

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

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

eval124.0ms (1.9%)

Memory: -37.9MiB live, 167.8MiB allocated
Compiler: Compiled 11 333 to 898 computations (92.1% saved)

prune63.0ms (1%)

Memory

12.3MiB live, 133.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	521	4	525

Accuracy

100.0%

Counts

525 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
▶	76.9%	#s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y))
✓	61.7%	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y)))
▶	24.9%	#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))

Compiler

Compiled 32 to 16 computations (50% saved)

simplify37.0ms (0.6%)

Memory

0.6MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

608×	`lower-fma.f32`
604×	`lower-fma.f64`
256×	`lower-*.f32`
254×	`lower-*.f64`
168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	90
0	25	90
1	52	90
2	72	90
3	115	90
4	172	90
5	340	90
6	452	90
7	582	90
8	657	90
9	675	90
10	677	90
11	680	90
12	682	90
0	682	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize113.0ms (1.8%)

Memory

0.7MiB live, 39.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x x)
accuracy	0	(neg.f64 y)
accuracy	23.936240231576665	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y))
accuracy	0.00390625	(fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy	31.43856618845968	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0	(*.f64 y (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	24.503597460265436	#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))
accuracy	31.06453440983482	#s(approx (- y (* x y)) (*.f64 y (neg.f64 x)))

Samples

99.0ms

256×

valid

Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 76.0ms (85.3% of total)

ival-mult: 6.0ms (6.7% of total)

ival-sub: 5.0ms (5.6% of total)

ival-neg: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

10 → 204

Calls

Call 1

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

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

Calls

6 calls:

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

simplify452.0ms (7%)

Memory

12.2MiB live, 361.3MiB allocated

Algorithm

1×	egg-herbie

Rules

21 368×	`lower-fma.f64`
21 368×	`lower-fma.f32`
3 344×	`lower-*.f64`
3 344×	`lower-*.f32`
2 524×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1025
1	212	996
2	514	996
3	1412	996
4	2884	996
5	3675	996
6	4013	996
7	4228	996
8	4368	996
9	4455	996
0	8050	924

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 194

Calls

Call 1

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

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

rewrite428.0ms (6.7%)

Memory

-6.5MiB live, 364.6MiB allocated

Rules

6 996×	`lower-fma.f32`
6 992×	`lower-fma.f64`
4 714×	`lower-*.f32`
4 712×	`lower-*.f64`
3 986×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
0	25	83
1	114	83
2	831	83
0	8421	80

Stop Event

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

Counts

10 → 164

Calls

Call 1

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

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

eval163.0ms (2.5%)

Memory: 3.3MiB live, 41.6MiB allocated
Compiler: Compiled 4 806 to 419 computations (91.3% saved)

prune156.0ms (2.4%)

Memory

-13.5MiB live, 25.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	358	4	362

Accuracy

100.0%

Counts

362 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
✓	76.9%	#s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y))
✓	61.7%	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y)))
✓	24.9%	#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))

Compiler

Compiled 78 to 31 computations (60.3% saved)

regimes10.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y)))

Calls

3 calls:

2.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.5%	3	`y`
98.6%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 x y)))
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y)))

Calls

1 calls:

2.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes6.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))

#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 x y)))

Outputs

#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 x y)))

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

#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
86.2%	3	`y`
99.0%	3	`x`
93.8%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))

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

#s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
88.7%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`
83.4%	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes140.0ms (2.2%)

Memory

-35.0MiB live, 4.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

137.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.9%	1	`x`
76.9%	1	`y`
76.9%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.489377495286373e-257	1.04358248700056e-234

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.489377495286373e-257	1.04358248700056e-234

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch24.0ms (0.4%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.172661553119603e-23	1.9540080944372875
9.0ms	-44690436653.398895	-5112112.579493911

Samples

11.0ms

304×

valid

Compiler

Compiled 354 to 200 computations (43.5% saved)

Precisions

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

ival-add: 2.0ms (37.1% of total)

ival-mult: 2.0ms (37.1% of total)

ival-sub: 1.0ms (18.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.883752013515598e+307	+inf
0.0ms	-8.953066377011442e+307	-5.2927662202361556e+303

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`*-commutative_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	229
1	65	229
2	80	229
3	84	229
4	85	229

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (+ x y) (* x y)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (- (+ x y) ( x y)) (-.f64 x (.f64 x y))) #s(approx (- (+ x y) ( x y)) (-.f64 y (*.f64 x y))))
(if (<=.f64 x #s(literal -5200000 binary64)) #s(approx (- (+ x y) (* x y)) (-.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (- (+ x y) ( x y)) #s(approx (- y (* x y)) (.f64 y (neg.f64 x)))) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))))
#s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y))

Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) #s(approx (- (+ x y) ( x y)) (-.f64 x (.f64 x y))) #s(approx (- (+ x y) ( x y)) (-.f64 y (*.f64 x y))))
(if (<=.f64 x #s(literal -5200000 binary64)) #s(approx (- (+ x y) (* x y)) (-.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (- (+ x y) ( x y)) #s(approx (- y (* x y)) (.f64 y (neg.f64 x)))) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* x y)) (*.f64 y (neg.f64 x))))))
#s(approx (- (+ x y) (* x y)) (fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y))

soundness1.5s (24.1%)

Memory

-6.5MiB live, 462.7MiB allocated

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
5 912×	`lower-fma.f32`
5 910×	`lower-fma.f64`
4 754×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	953
1	203	924
2	463	924
3	1402	924
4	2762	924
5	3747	924
6	4335	924
7	5032	924
8	5545	924
9	6071	924
10	7100	924
0	8074	852
0	42	280
1	125	280
2	282	280
3	843	280
4	2196	280
5	3219	280
6	4113	280
7	4716	280
8	5053	280
9	5271	280
10	5366	280
11	5406	280
12	5426	280
13	5426	280
14	5444	280
15	5444	280
0	9619	262
0	14	62
0	20	63
1	98	63
2	794	59
0	8427	59

Stop Event

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

Compiler

Compiled 237 to 99 computations (58.2% saved)

preprocess58.0ms (0.9%)

Memory: -5.6MiB live, 120.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 282 to 82 computations (70.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
0	8	15
1	17	15
2	37	15
3	66	15
4	108	15
5	223	15
6	346	15
7	509	15
8	544	15
9	546	15
0	546	14

Iter	Nodes	Cost
0	14	72
0	20	73
1	38	73
2	63	69
3	95	69
4	172	69
5	297	69
6	445	69
7	544	69
8	549	69
0	549	69

Iter	Nodes	Cost
0	18	90
0	25	90
1	52	90
2	72	90
3	115	90
4	172	90
5	340	90
6	452	90
7	582	90
8	657	90
9	675	90
10	677	90
11	680	90
12	682	90
0	682	87

Iter	Nodes	Cost
0	5	15
0	8	15
1	17	15
2	37	15
3	66	15
4	108	15
5	223	15
6	346	15
7	509	15
8	544	15
9	546	15
0	546	14

Iter	Nodes	Cost
0	14	72
0	20	73
1	38	73
2	63	69
3	95	69
4	172	69
5	297	69
6	445	69
7	544	69
8	549	69
0	549	69

Iter	Nodes	Cost
0	18	90
0	25	90
1	52	90
2	72	90
3	115	90
4	172	90
5	340	90
6	452	90
7	582	90
8	657	90
9	675	90
10	677	90
11	680	90
12	682	90
0	682	87

start0.0ms (0%)

analyze0.0ms (0%)

sample971.0ms (15.1%)

explain422.0ms (6.6%)

preprocess52.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.4%)

localize16.0ms (0.2%)

series5.0ms (0.1%)

simplify448.0ms (7%)

rewrite357.0ms (5.6%)

eval28.0ms (0.4%)

prune39.0ms (0.6%)

simplify27.0ms (0.4%)

localize99.0ms (1.5%)

series11.0ms (0.2%)

simplify226.0ms (3.5%)

rewrite342.0ms (5.3%)

eval124.0ms (1.9%)

prune63.0ms (1%)

simplify37.0ms (0.6%)

localize113.0ms (1.8%)

series9.0ms (0.1%)

simplify452.0ms (7%)

rewrite428.0ms (6.7%)

eval163.0ms (2.5%)

prune156.0ms (2.4%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes140.0ms (2.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.5s (24.1%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
0	8	15
1	17	15
2	37	15
3	66	15
4	108	15
5	223	15
6	346	15
7	509	15
8	544	15
9	546	15
0	546	14

Iter	Nodes	Cost
0	14	72
0	20	73
1	38	73
2	63	69
3	95	69
4	172	69
5	297	69
6	445	69
7	544	69
8	549	69
0	549	69

Iter	Nodes	Cost
0	18	90
0	25	90
1	52	90
2	72	90
3	115	90
4	172	90
5	340	90
6	452	90
7	582	90
8	657	90
9	675	90
10	677	90
11	680	90
12	682	90
0	682	87