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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample654.0ms (9.3%)

Memory

-0.4MiB live, 868.0MiB allocated

Samples

349.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-sub: 60.0ms (33.7% of total)

ival-mult: 56.0ms (31.4% of total)

ival-add: 53.0ms (29.8% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain354.0ms (5.1%)

Memory

-3.0MiB live, 75.9MiB 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

308.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-mult: 291.0ms (98.1% of total)

ival-add: 3.0ms (1% of total)

ival-sub: 2.0ms (0.7% of total)

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

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

preprocess173.0ms (2.5%)

Memory

-9.7MiB live, 31.5MiB 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 (-.f64 #s(literal 1 binary64) y) x y)

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify19.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB 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 (-.f64 #s(literal 1 binary64) y) x y)
(+.f64 x y)
(+.f64 y x)
x
y
(*.f64 x y)
(*.f64 y x)

localize14.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(-.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: 4.0ms

ival-mult: 2.0ms (45.9% of total)

ival-sub: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

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

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

series17.0ms (0.2%)

Memory

-30.0MiB live, 6.9MiB 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
13.0ms	x	@	-inf	((- (+ x y) (* x y)) (+ x y) (* x y))
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))
0.0ms	x	@	inf	((- (+ x y) (* x y)) (+ x y) (* x y))

simplify406.0ms (5.8%)

Memory

11.0MiB live, 167.2MiB 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 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite434.0ms (6.2%)

Memory

3.1MiB live, 125.3MiB 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 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x)) (-.f64 (.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (-.f64 (*.f64 y x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x))
(.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 y x (+.f64 y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x (+.f64 y x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (fma.f64 y x (+.f64 y x))))
(.f64 (fma.f64 y x (+.f64 y x)) (.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (*.f64 (+.f64 y x) x) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (+.f64 y x) x) y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 x) y y) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 y) x) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 2 binary64))) (-.f64 y (fma.f64 (neg.f64 y) x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 2 binary64)) (*.f64 y (fma.f64 (neg.f64 y) x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (neg.f64 x) y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (+.f64 y x) x) y) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (+.f64 y x) x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y x (+.f64 y x)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (.f64 (fma.f64 y x (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 (fma.f64 y x (+.f64 y x)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64))) (-.f64 x (fma.f64 (neg.f64 x) y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))

eval56.0ms (0.8%)

Memory: -9.3MiB live, 28.0MiB allocated
Compiler: Compiled 5 320 to 566 computations (89.4% saved)

prune5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	250	3	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	250	4	254

Accuracy

100.0%

Counts

254 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
▶	100.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
▶	66.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	58.3%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify19.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	74
0	19	74
1	36	74
2	66	71
3	98	71
4	171	71
5	297	71
6	440	71
7	523	71
8	553	71
0	553	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1%)

Memory

6.1MiB live, 44.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	21.493021837709165	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	26.712085734869905	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))

Samples

62.0ms

256×

valid

Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 43.0ms (84.1% of total)

ival-mult: 5.0ms (9.8% of total)

ival-sub: 3.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-17.3MiB live, 17.5MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms	y	@	inf	((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms	x	@	-inf	((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms	x	@	inf	((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms	y	@	0	((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))

simplify540.0ms (7.7%)

Memory

-3.7MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 268×	`lower-fma.f64`
4 268×	`lower-fma.f32`
4 064×	`lower-*.f64`
4 064×	`lower-*.f32`
2 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	913
1	221	884
2	541	884
3	1326	884
4	2656	884
5	3882	884
6	4466	884
7	4902	884
8	5099	884
9	5189	884
10	5934	884
11	6106	884
12	6336	884
13	7080	884
0	8004	812

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 158

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

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

rewrite648.0ms (9.3%)

Memory

8.2MiB live, 246.9MiB allocated

Rules

8 172×	`lower-fma.f32`
8 170×	`lower-fma.f64`
5 766×	`lower-*.f32`
5 762×	`lower-*.f64`
4 076×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	19	62
1	88	59
2	708	59
0	8480	59

Stop Event

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

Counts

8 → 332

Calls

Call 1

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

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

eval90.0ms (1.3%)

Memory: -2.9MiB live, 150.3MiB allocated
Compiler: Compiled 8 929 to 1 348 computations (84.9% saved)

prune16.0ms (0.2%)

Memory

15.3MiB live, 53.6MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	543	6	549
Fresh	0	0	0
Picked	1	2	3
Done	1	0	1
Total	545	8	553

Accuracy

100.0%

Counts

553 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
	58.3%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
▶	66.4%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
▶	76.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	66.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	26.1%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	42.4%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
▶	35.2%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 81 to 80 computations (1.2% saved)

simplify35.0ms (0.5%)

Memory

-12.6MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
cost-diff	0	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
cost-diff	0	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
cost-diff	0	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))

Rules

704×	`lower-fma.f32`
700×	`lower-fma.f64`
352×	`lower-*.f32`
346×	`lower-*.f64`
200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
0	29	146
1	55	146
2	76	146
3	116	146
4	166	146
5	357	146
6	483	146
7	614	146
8	790	146
9	924	146
10	945	146
11	951	146
12	960	146
13	966	146
0	966	141

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize76.0ms (1.1%)

Memory

-12.6MiB live, 127.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x x)
accuracy	0	(neg.f64 y)
accuracy	21.493021837709165	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	21.493021837709165	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	34.104712471861475	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	21.493021837709165	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	29.384473583286294	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.01953125	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	26.712085734869905	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	29.188447351482473	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
accuracy	0.0078125	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	29.188447351482473	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

28.0ms

256×

valid

Compiler

Compiled 92 to 16 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.4% of total)

ival-sub: 5.0ms (31.2% of total)

ival-add: 4.0ms (25% of total)

ival-neg: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-4.2MiB live, 35.1MiB allocated

Counts

14 → 288

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<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)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (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 (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<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 (* y (- 1 x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #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)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #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)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #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)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<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	x	@	-inf	((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x))
1.0ms	y	@	-inf	((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x))
1.0ms	x	@	inf	((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x))
1.0ms	y	@	inf	((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x))
1.0ms	x	@	0	((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x))

simplify260.0ms (3.7%)

Memory

14.3MiB live, 132.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 304×	`lower-fma.f64`
4 304×	`lower-fma.f32`
4 152×	`lower-*.f64`
4 152×	`lower-*.f32`
2 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1539
1	221	1464
2	541	1464
3	1316	1464
4	2647	1464
5	3863	1464
6	4448	1464
7	4884	1464
8	5081	1464
9	5171	1464
10	5910	1464
11	6079	1464
12	6309	1464
13	7053	1464
0	8020	1356

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 272

Calls

Call 1

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

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

rewrite432.0ms (6.2%)

Memory

-6.3MiB live, 272.2MiB allocated

Rules

10 892×	`lower-fma.f32`
10 888×	`lower-fma.f64`
5 776×	`lower-*.f32`
5 770×	`lower-*.f64`
3 790×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	128
0	29	128
1	117	128
2	841	128
0	8755	123

Stop Event

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

Counts

14 → 159

Calls

Call 1

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

Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) y x)
(fma.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(fma.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 1 binary64) x)
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) #s(approx (- 1 x) #s(literal 1 binary64))) x)
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(+.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
(+.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(.f64 y (.f64 #s(literal 1 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))
(*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(.f64 (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- 1 y) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))))
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) x)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (*.f64 y y) x))))))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (.f64 y y) x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (pow.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (*.f64 y y) x))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 y y y)))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (*.f64 y y) x))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (neg.f64 (fma.f64 y x x)) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x)))) (.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (fma.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (.f64 y y) x))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 y x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 y x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (*.f64 y y) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (*.f64 y y) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (.f64 (neg.f64 (fma.f64 y x x)) (.f64 x x))) (*.f64 (neg.f64 (fma.f64 y x x)) (neg.f64 (fma.f64 y x x))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (.f64 (+.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (.f64 (*.f64 x x) (fma.f64 y y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (.f64 y y) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (neg.f64 (fma.f64 y x x))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x x)))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (neg.f64 (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 x x (.f64 (*.f64 x x) (fma.f64 y y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) x) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 y y y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (fma.f64 y x x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (.f64 y y) x)))))
(neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (.f64 (.f64 y y) x))))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x)
(fma.f64 (neg.f64 x) y x)
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x)))))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x)
(fma.f64 y (neg.f64 x) x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y x))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) y) x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) x))
(-.f64 x (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x)))))
(+.f64 (*.f64 (neg.f64 y) x) x)
(+.f64 x (*.f64 (neg.f64 y) x))

eval107.0ms (1.5%)

Memory: 0.8MiB live, 196.4MiB allocated
Compiler: Compiled 5 046 to 640 computations (87.3% saved)

prune13.0ms (0.2%)

Memory

19.4MiB live, 57.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	475	0	475
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	475	8	483

Accuracy

100.0%

Counts

483 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
▶	58.3%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
✓	66.4%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
✓	76.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	66.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	26.1%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	42.4%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	35.2%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify24.0ms (0.3%)

Memory

-21.3MiB live, 62.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	11	22
1	28	22
2	45	22
3	77	22
4	123	22
5	234	22
6	351	22
7	505	22
8	514	22
9	516	22
0	516	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

17.1MiB live, 55.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x y)
accuracy	0	(neg.f64 y)
accuracy	26.712085734869905	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

ival-mult: 3.0ms (37.3% of total)

ival-add: 2.0ms (24.8% of total)

ival-sub: 1.0ms (12.4% of total)

ival-neg: 1.0ms (12.4% of total)

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

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

series5.0ms (0.1%)

Memory

-27.4MiB live, 11.3MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (+ x y) (* x y)) (+ (* (neg y) x) y) (neg y))
1.0ms	y	@	inf	((- (+ x y) (* x y)) (+ (* (neg y) x) y) (neg y))
0.0ms	y	@	-inf	((- (+ x y) (* x y)) (+ (* (neg y) x) y) (neg y))
0.0ms	y	@	0	((- (+ x y) (* x y)) (+ (* (neg y) x) y) (neg y))
0.0ms	x	@	-inf	((- (+ x y) (* x y)) (+ (* (neg y) x) y) (neg y))

simplify178.0ms (2.5%)

Memory

27.7MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 112×	`lower-fma.f64`
9 112×	`lower-fma.f32`
2 944×	`lower-*.f64`
2 944×	`lower-*.f32`
2 416×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	286
1	132	286
2	304	286
3	909	286
4	2342	286
5	3270	286
6	3921	286
7	4667	286
8	4889	286
9	5036	286
10	5854	286
0	8383	268

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

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

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

rewrite167.0ms (2.4%)

Memory

-29.7MiB live, 209.4MiB allocated

Rules

8 648×	`lower-fma.f32`
8 646×	`lower-fma.f64`
4 702×	`lower-*.f64`
4 702×	`lower-*.f32`
3 144×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	11	20
1	62	20
2	499	20
3	7449	20
0	8820	20

Stop Event

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

Counts

3 → 101

Calls

Call 1

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

Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 x) y y))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 y x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y x y) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 y x y) y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y x y) y) (-.f64 (.f64 (fma.f64 y x y) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (neg.f64 x) y y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y y))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y)
(.f64 (.f64 y (-.f64 y (.f64 (.f64 x x) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y x y)))
(.f64 (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y y))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y x y)))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))))))
(*.f64 (fma.f64 (neg.f64 x) y y) (/.f64 (neg.f64 (fma.f64 y x y)) (neg.f64 (fma.f64 y x y))))
(.f64 (fma.f64 (neg.f64 x) y y) (.f64 (neg.f64 (fma.f64 y x y)) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) (/.f64 (fma.f64 (neg.f64 x) y y) (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y)))))
(.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) (.f64 (fma.f64 (neg.f64 x) y y) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y)))) (.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))) (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (fma.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))) (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))))
(/.f64 (neg.f64 (.f64 y (-.f64 y (.f64 (*.f64 x x) y)))) (neg.f64 (fma.f64 y x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (neg.f64 (fma.f64 y x y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y)))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y x y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (.f64 (neg.f64 (fma.f64 y x y)) (.f64 y y))) (*.f64 (neg.f64 (fma.f64 y x y)) (neg.f64 (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 y (-.f64 y (.f64 (*.f64 x x) y))) (fma.f64 y x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (.f64 y (-.f64 y (.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (neg.f64 (fma.f64 y x y)) (+.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y y)) (neg.f64 (neg.f64 (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y y)) (neg.f64 (fma.f64 y x y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 y x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y))))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (neg.f64 x) y y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y y) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (.f64 (.f64 (neg.f64 y) x) x) (/.f64 (neg.f64 y) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (neg.f64 x) y y)
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y)
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (.f64 (neg.f64 y) x) (/.f64 (.f64 (neg.f64 y) x) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (neg.f64 y) (/.f64 (.f64 (.f64 (neg.f64 y) x) x) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (neg.f64 y) x y)
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) y)
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 y x y)))))
(fma.f64 x (neg.f64 y) y)
(-.f64 (/.f64 (.f64 y y) (fma.f64 y x y)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (fma.f64 y x y)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 y (fma.f64 (*.f64 x x) y (fma.f64 y x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) y))
(-.f64 y (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x y))) (neg.f64 (/.f64 (.f64 y y) (neg.f64 (fma.f64 y x y)))))
(+.f64 (*.f64 (neg.f64 y) x) y)
(+.f64 y (*.f64 (neg.f64 y) x))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (*.f64 y y) (neg.f64 y))
(neg.f64 y)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))

eval19.0ms (0.3%)

Memory: 1.4MiB live, 39.5MiB allocated
Compiler: Compiled 2 498 to 380 computations (84.8% saved)

prune6.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	158	8	166

Accuracy

100.0%

Counts

166 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
✓	58.3%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
✓	66.4%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
✓	76.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	66.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	26.1%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	42.4%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	35.2%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 107 to 76 computations (29% saved)

regimes15.0ms (0.2%)

Memory

-14.0MiB live, 32.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
4.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
4.0ms	x

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-10.0MiB live, 29.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms	y

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.4%	3	`y`
98.4%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

9.7MiB live, 9.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory

-8.9MiB live, 30.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
2.0ms	y

Results

Accuracy	Segments	Branch
99.0%	3	`y`
85.8%	4	`x`
93.5%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))

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

#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.2%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`
84.0%	3	`y`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-23.6MiB live, 15.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
76.0%	1	`y`
76.0%	1	`x`
76.0%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.6%	2	`x`
65.0%	2	`y`
74.8%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-25.8MiB live, 16.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
35.2%	1	`y`
35.2%	1	`x`
35.2%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3676596306189158e-238	3.340856379700453e-225

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3676596306189158e-238	3.340856379700453e-225

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3676596306189158e-238	3.340856379700453e-225

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch25.0ms (0.4%)

Memory

9.3MiB live, 48.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.000649977670081604	10.312019025800009
13.0ms	-11962.987961214354	-8.641918852115386e-18

Samples

11.0ms

304×

valid

Compiler

Compiled 238 to 276 computations (-16% saved)

Precisions

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

ival-add: 2.0ms (37.6% of total)

ival-mult: 2.0ms (37.6% of total)

ival-sub: 1.0ms (18.8% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6057567553556891e+270	1.209436851170997e+272
0.0ms	-inf	-1.7465342477180435e+306

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3676596306189158e-238	3.340856379700453e-225

Compiler

Compiled 10 to 10 computations (0% saved)

simplify25.0ms (0.4%)

Memory

13.8MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	314
1	72	314
2	85	314
3	90	314
4	92	314

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) ( x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 y #s(literal -11800 binary64)) #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) ( x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) ( x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 y #s(literal -11800 binary64)) #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -733155940312959/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) ( x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

soundness1.8s (25.6%)

Memory

0.5MiB live, 472.0MiB allocated

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
8 172×	`lower-fma.f32`
8 170×	`lower-fma.f64`
5 766×	`lower-*.f32`

Iterations

Useful iterations: 1 (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
0	71	913
1	221	884
2	541	884
3	1326	884
4	2656	884
5	3882	884
6	4466	884
7	4902	884
8	5099	884
9	5189	884
10	5934	884
11	6106	884
12	6336	884
13	7080	884
0	8004	812
0	14	62
0	19	62
1	88	59
2	708	59
0	8480	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 297 to 179 computations (39.7% saved)

preprocess196.0ms (2.8%)

Memory: -1.0MiB live, 78.9MiB allocated
Remove: (sort x y)
Compiler: Compiled 364 to 116 computations (68.1% 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	74
0	19	74
1	36	74
2	66	71
3	98	71
4	171	71
5	297	71
6	440	71
7	523	71
8	553	71
0	553	71

Iter	Nodes	Cost
0	22	146
0	29	146
1	55	146
2	76	146
3	116	146
4	166	146
5	357	146
6	483	146
7	614	146
8	790	146
9	924	146
10	945	146
11	951	146
12	960	146
13	966	146
0	966	141

Iter	Nodes	Cost
0	8	22
0	11	22
1	28	22
2	45	22
3	77	22
4	123	22
5	234	22
6	351	22
7	505	22
8	514	22
9	516	22
0	516	21

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	74
0	19	74
1	36	74
2	66	71
3	98	71
4	171	71
5	297	71
6	440	71
7	523	71
8	553	71
0	553	71

Iter	Nodes	Cost
0	22	146
0	29	146
1	55	146
2	76	146
3	116	146
4	166	146
5	357	146
6	483	146
7	614	146
8	790	146
9	924	146
10	945	146
11	951	146
12	960	146
13	966	146
0	966	141

Iter	Nodes	Cost
0	8	22
0	11	22
1	28	22
2	45	22
3	77	22
4	123	22
5	234	22
6	351	22
7	505	22
8	514	22
9	516	22
0	516	21

start0.0ms (0%)

analyze0.0ms (0%)

sample654.0ms (9.3%)

explain354.0ms (5.1%)

preprocess173.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.3%)

localize14.0ms (0.2%)

series17.0ms (0.2%)

simplify406.0ms (5.8%)

rewrite434.0ms (6.2%)

eval56.0ms (0.8%)

prune5.0ms (0.1%)

simplify19.0ms (0.3%)

localize70.0ms (1%)

series21.0ms (0.3%)

simplify540.0ms (7.7%)

rewrite648.0ms (9.3%)

eval90.0ms (1.3%)

prune16.0ms (0.2%)

simplify35.0ms (0.5%)

localize76.0ms (1.1%)

series14.0ms (0.2%)

simplify260.0ms (3.7%)

rewrite432.0ms (6.2%)

eval107.0ms (1.5%)

prune13.0ms (0.2%)

simplify24.0ms (0.3%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

simplify178.0ms (2.5%)

rewrite167.0ms (2.4%)

eval19.0ms (0.3%)

prune6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.4%)

soundness1.8s (25.6%)

preprocess196.0ms (2.8%)

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	74
0	19	74
1	36	74
2	66	71
3	98	71
4	171	71
5	297	71
6	440	71
7	523	71
8	553	71
0	553	71

Iter	Nodes	Cost
0	22	146
0	29	146
1	55	146
2	76	146
3	116	146
4	166	146
5	357	146
6	483	146
7	614	146
8	790	146
9	924	146
10	945	146
11	951	146
12	960	146
13	966	146
0	966	141

Iter	Nodes	Cost
0	8	22
0	11	22
1	28	22
2	45	22
3	77	22
4	123	22
5	234	22
6	351	22
7	505	22
8	514	22
9	516	22
0	516	21