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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.3s (23.8%)

Memory

15.3MiB live, 568.4MiB allocated

Samples

796.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 538.0ms

ival-sub: 217.0ms (40.3% of total)

ival-add: 186.0ms (34.6% of total)

ival-mult: 127.0ms (23.6% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain257.0ms (4.5%)

Memory

34.2MiB live, 108.1MiB 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

227.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 116.0ms (95.7% of total)

ival-add: 3.0ms (2.5% of total)

ival-sub: 2.0ms (1.6% of total)

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

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

preprocess238.0ms (4.2%)

Memory

-33.9MiB live, 53.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify35.0ms (0.6%)

Memory

10.0MiB live, 49.3MiB 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)

localize17.0ms (0.3%)

Memory

12.9MiB live, 51.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-add: 3.0ms (47% of total)

ival-mult: 2.0ms (31.4% of total)

ival-sub: 1.0ms (15.7% of total)

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

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

series7.0ms (0.1%)

Memory

-26.3MiB live, 11.4MiB 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
3.0ms	x	@	inf	((- (+ x y) (* x y)) (+ x y) (* x y))
1.0ms	y	@	inf	((- (+ x y) (* x y)) (+ x y) (* x y))
1.0ms	x	@	-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))

simplify301.0ms (5.3%)

Memory

23.6MiB live, 262.0MiB 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)

rewrite205.0ms (3.6%)

Memory

-17.2MiB live, 221.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 189

Calls

Call 1

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

Outputs
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eval44.0ms (0.8%)

Memory: 10.9MiB live, 92.1MiB allocated
Compiler: Compiled 5 320 to 566 computations (89.4% saved)

prune7.0ms (0.1%)

Memory

-16.1MiB live, 21.2MiB 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))
▶	61.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	63.9%	#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

5.9MiB live, 44.8MiB 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

localize41.0ms (0.7%)

Memory

7.6MiB live, 52.4MiB 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	0.00390625	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	24.696676305868138	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	23.084066225289483	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))

Samples

33.0ms

256×

valid

Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 16.0ms (66.8% of total)

ival-mult: 5.0ms (20.9% of total)

ival-sub: 3.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB 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>) () ())) ())
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#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 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 x)) 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 x)) 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 x)) 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 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
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	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))

simplify223.0ms (3.9%)

Memory

-8.8MiB live, 182.8MiB 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)

rewrite179.0ms (3.2%)

Memory

-16.2MiB live, 272.4MiB 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
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eval160.0ms (2.8%)

Memory: 9.1MiB live, 197.7MiB allocated
Compiler: Compiled 8 929 to 1 348 computations (84.9% saved)

prune17.0ms (0.3%)

Memory

-4.1MiB live, 74.2MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	544	5	549
Fresh	0	0	0
Picked	1	2	3
Done	1	0	1
Total	546	7	553

Accuracy

100.0%

Counts

553 → 7

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))
▶	63.9%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
▶	74.1%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	61.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	26.7%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	36.8%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
▶	39.1%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 69 to 70 computations (-1.4% saved)

simplify39.0ms (0.7%)

Memory

6.2MiB live, 51.8MiB 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 y)
cost-diff	0	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
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	53	146
2	73	146
3	108	146
4	154	146
5	298	146
6	429	146
7	623	146
8	837	146
9	913	146
10	921	146
11	927	146
12	937	146
13	941	146
0	941	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 y))
(fma.f64 (neg.f64 y) x y)
(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 y))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (neg.f64 y) x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(neg.f64 y)
y
x

localize53.0ms (0.9%)

Memory

23.8MiB live, 100.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x y)
accuracy	0	(neg.f64 y)
accuracy	23.084066225289483	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	24.696676305868138	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	31.95836772874241	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	24.696676305868138	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	32.53485705207409	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	23.084066225289483	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	30.93864898242475	#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	0.00390625	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	30.93864898242475	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

42.0ms

256×

valid

Compiler

Compiled 92 to 16 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (42.2% of total)

ival-sub: 3.0ms (21.1% of total)

ival-add: 3.0ms (21.1% of total)

ival-neg: 1.0ms (7% 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

-5.3MiB live, 33.1MiB 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 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>) () ())

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 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 (* 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>) () ())) ())
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#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 #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 (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#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 (* -1 (* x (- y 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#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 (* -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 (* -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 (* -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 (* -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 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
3.0ms	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) y))
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) y))
1.0ms	y	@	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) y))
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) y))
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) y))

simplify236.0ms (4.2%)

Memory

-10.2MiB live, 239.3MiB 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	74	1518
1	229	1464
2	567	1464
3	1344	1464
4	2673	1464
5	3880	1464
6	4461	1464
7	4901	1464
8	5085	1464
9	5175	1464
10	5918	1464
11	6088	1464
12	6318	1464
13	7062	1464
0	8030	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)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -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)) 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))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* 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 (* y (- x 1)))
(* -1 (* y (- x 1)))
(* -1 (* y (- x 1)))
(* -1 (* y (- x 1)))
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)))
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))
(* 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))
(* -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)))
(* -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 (* 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) 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)
(+ 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 (* -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)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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 (* -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)
(* 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 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)
(* -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)
(* -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) 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)
(* 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 (- (* -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 (+ 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)
(* -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)
(* -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) 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 (* 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)
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)
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)
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)
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)
(* 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 (* -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))
(*.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)
(* -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)
(* -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)
(* 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)
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(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))
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(* x (- 1 y))
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(* 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)
(* -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)
(* 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)
(* -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)
(* -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)
(* 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)
(* 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))
(*.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)

rewrite238.0ms (4.2%)

Memory

12.3MiB live, 206.4MiB allocated

Rules

8 642×	`lower-fma.f32`
8 638×	`lower-fma.f64`
5 146×	`lower-*.f32`
5 140×	`lower-*.f64`
3 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	128
0	29	128
1	115	128
2	832	128
0	8593	123

Stop Event

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

Counts

14 → 140

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 y))
(fma.f64 (neg.f64 y) x y)

Outputs
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eval75.0ms (1.3%)

Memory: -16.0MiB live, 70.4MiB allocated
Compiler: Compiled 4 812 to 589 computations (87.8% saved)

prune15.0ms (0.3%)

Memory

0.1MiB live, 36.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	456	0	456
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	456	7	463

Accuracy

100.0%

Counts

463 → 7

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))
✓	63.9%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
✓	74.1%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	61.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	26.7%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	36.8%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	39.1%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 95 to 69 computations (27.4% saved)

regimes14.0ms (0.2%)

Memory

-16.6MiB live, 20.4MiB allocated

Counts

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB 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 y))

Outputs
#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 y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	3	`x`
99.2%	3	`y`
97.8%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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
97.8%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

-22.3MiB live, 14.4MiB 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

2 calls:

5.0ms	y
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.8%	3	`y`
95.2%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
88.1%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`
82.4%	3	`x`
79.9%	2	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB 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:

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

Results

Accuracy	Segments	Branch
74.1%	1	`y`
74.1%	1	`x`
74.1%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes33.0ms (0.6%)

Memory

-37.7MiB live, 20.4MiB 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:

30.0ms	y
2.0ms	x
1.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
61.9%	2	`x`
73.1%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`
65.4%	2	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.1%	1	`x`
39.1%	1	`y`
39.1%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.442441830535833e-299	6.313350948737484e-269

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.442441830535833e-299	6.313350948737484e-269

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch32.0ms (0.6%)

Memory

-0.3MiB live, 36.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.20778984060901e-9	6.932764260905937e-6
21.0ms	-7.349574268653308	-3.5891638345429833e-13

Samples

10.0ms

288×

valid

Compiler

Compiled 226 to 262 computations (-15.9% saved)

Precisions

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

ival-add: 2.0ms (40.3% of total)

ival-mult: 2.0ms (40.3% of total)

ival-sub: 1.0ms (20.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.601332736588832e+301	2.6074623219799716e+302
0.0ms	-1.560928347448253e+284	-4.47932337433801e+283

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.442441830535833e-299	6.313350948737484e-269

Compiler

Compiled 10 to 10 computations (0% saved)

simplify70.0ms (1.2%)

Memory

-17.6MiB live, 59.1MiB 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	50	278
1	70	278
2	83	278
3	88	278
4	90	278

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 -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) #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 y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 -8106479329266893/1125899906842624 binary64)) #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 8028023020878397/1180591620717411303424 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 -100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 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 100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656 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 -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) #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 y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) #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 y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 -8106479329266893/1125899906842624 binary64)) #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 8028023020878397/1180591620717411303424 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 -100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 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 100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656 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 -100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 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 100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656 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 -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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 -7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 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))

soundness1.6s (28.9%)

Memory

5.5MiB live, 403.9MiB 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 253 to 155 computations (38.7% saved)

preprocess65.0ms (1.1%)

Memory: -3.8MiB live, 70.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 320 to 112 computations (65% 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	53	146
2	73	146
3	108	146
4	154	146
5	298	146
6	429	146
7	623	146
8	837	146
9	913	146
10	921	146
11	927	146
12	937	146
13	941	146
0	941	141

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	53	146
2	73	146
3	108	146
4	154	146
5	298	146
6	429	146
7	623	146
8	837	146
9	913	146
10	921	146
11	927	146
12	937	146
13	941	146
0	941	141

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (23.8%)

explain257.0ms (4.5%)

preprocess238.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify35.0ms (0.6%)

localize17.0ms (0.3%)

series7.0ms (0.1%)

simplify301.0ms (5.3%)

rewrite205.0ms (3.6%)

eval44.0ms (0.8%)

prune7.0ms (0.1%)

simplify19.0ms (0.3%)

localize41.0ms (0.7%)

series10.0ms (0.2%)

simplify223.0ms (3.9%)

rewrite179.0ms (3.2%)

eval160.0ms (2.8%)

prune17.0ms (0.3%)

simplify39.0ms (0.7%)

localize53.0ms (0.9%)

series14.0ms (0.2%)

simplify236.0ms (4.2%)

rewrite238.0ms (4.2%)

eval75.0ms (1.3%)

prune15.0ms (0.3%)

regimes14.0ms (0.2%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes33.0ms (0.6%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch32.0ms (0.6%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify70.0ms (1.2%)

soundness1.6s (28.9%)

preprocess65.0ms (1.1%)

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	53	146
2	73	146
3	108	146
4	154	146
5	298	146
6	429	146
7	623	146
8	837	146
9	913	146
10	921	146
11	927	146
12	937	146
13	941	146
0	941	141