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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample575.0ms (10.3%)

Memory

0.2MiB live, 906.2MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 57.0ms (34.4% of total)

ival-sub: 50.0ms (30.2% of total)

ival-add: 50.0ms (30.2% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain57.0ms (1%)

Memory

15.4MiB live, 138.8MiB 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

25.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (42.2% of total)

ival-mult: 4.0ms (33.7% of total)

ival-add: 3.0ms (25.3% of total)

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

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

preprocess47.0ms (0.8%)

Memory

-14.0MiB live, 64.3MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify21.0ms (0.4%)

Memory

-6.4MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

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

ival-sub: 1.0ms (22.9% of total)

ival-add: 1.0ms (22.9% of total)

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

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

series5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify355.0ms (6.3%)

Memory

-1.5MiB live, 195.0MiB 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)

rewrite281.0ms (5%)

Memory

-28.0MiB live, 173.4MiB 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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eval56.0ms (1%)

Memory: 15.9MiB live, 52.0MiB allocated
Compiler: Compiled 5 320 to 566 computations (89.4% saved)

prune5.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB 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))
▶	67.4%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	62.2%	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify58.0ms (1%)

Memory

-6.3MiB live, 31.0MiB 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

localize68.0ms (1.2%)

Memory

-19.3MiB live, 31.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	20.85544824541845	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	24.152198645479306	#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))

Samples

60.0ms

256×

valid

Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions

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

ival-mult: 5.0ms (47.1% of total)

ival-sub: 3.0ms (28.3% of total)

ival-add: 2.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

simplify303.0ms (5.4%)

Memory

-9.3MiB live, 63.9MiB 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)

rewrite407.0ms (7.3%)

Memory

-7.7MiB live, 110.7MiB 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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eval109.0ms (2%)

Memory: 28.8MiB live, 102.4MiB allocated
Compiler: Compiled 8 929 to 1 348 computations (84.9% saved)

prune53.0ms (0.9%)

Memory

-12.8MiB live, 34.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	543	6	549
Fresh	0	0	0
Picked	2	1	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))
	62.3%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
▶	67.4%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
▶	71.5%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
▶	30.5%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	39.0%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
▶	34.6%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 75 to 74 computations (1.3% saved)

simplify40.0ms (0.7%)

Memory

-6.1MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.4%)

Memory

0.7MiB live, 77.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x x)
accuracy	0	(neg.f64 y)
accuracy	20.85544824541845	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	20.85544824541845	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	30.645691310718135	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	20.85544824541845	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	33.03639734995615	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	24.152198645479306	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	33.92658104355525	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
accuracy	0.0078125	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	33.92658104355525	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

67.0ms

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 (41.8% of total)

ival-add: 4.0ms (27.9% of total)

ival-sub: 3.0ms (20.9% 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)

series12.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

14 → 288

Calls

Call 1

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

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

Calls

6 calls:

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

simplify227.0ms (4.1%)

Memory

-11.6MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 272

Calls

Call 1

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

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

rewrite504.0ms (9%)

Memory

8.4MiB live, 286.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

14 → 159

Calls

Call 1

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

Outputs
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eval65.0ms (1.2%)

Memory: -23.9MiB live, 133.1MiB allocated
Compiler: Compiled 5 046 to 640 computations (87.3% saved)

prune45.0ms (0.8%)

Memory

14.3MiB live, 53.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	475	0	475
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	475	7	482

Accuracy

100.0%

Counts

482 → 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))
▶	62.3%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
✓	67.4%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
✓	71.5%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	30.5%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	39.0%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	34.6%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 41 to 40 computations (2.4% saved)

simplify20.0ms (0.4%)

Memory

4.1MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

9.6MiB live, 47.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x y)
accuracy	0	(neg.f64 y)
accuracy	24.152198645479306	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))

Samples

17.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

ival-mult: 5.0ms (44.7% of total)

ival-add: 3.0ms (26.8% of total)

ival-sub: 1.0ms (8.9% of total)

ival-neg: 1.0ms (8.9% of total)

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

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

series4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

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

simplify197.0ms (3.5%)

Memory

-11.9MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

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

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

rewrite180.0ms (3.2%)

Memory

-8.4MiB live, 230.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 101

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>

eval18.0ms (0.3%)

Memory: 8.6MiB live, 45.8MiB allocated
Compiler: Compiled 2 498 to 380 computations (84.8% saved)

prune8.0ms (0.1%)

Memory

-13.9MiB live, 24.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	158	7	165

Accuracy

100.0%

Counts

165 → 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))
✓	62.3%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
✓	67.4%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
✓	71.5%	#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	30.5%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	39.0%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	34.6%	#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Compiler

Compiled 101 to 70 computations (30.7% saved)

regimes17.0ms (0.3%)

Memory

-7.2MiB live, 37.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
4.0ms	y
4.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.2%)

Memory

4.1MiB live, 42.6MiB 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 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))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-0.7MiB live, 38.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.4%	3	`y`
98.8%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.2%)

Memory

-12.3MiB live, 26.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
79.0%	2	`x`
99.1%	3	`y`
92.1%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.8%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`
83.5%	4	`y`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes39.0ms (0.7%)

Memory

-20.3MiB live, 39.0MiB 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:

34.0ms	x
2.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
2.0ms	y

Results

Accuracy	Segments	Branch
71.5%	1	`x`
71.5%	1	`y`
71.5%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.3%	2	`x`
63.4%	2	`y`
71.1%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-24.7MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x y) (* x y)) (*.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:

3.0ms	y
1.0ms	x
1.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
34.6%	1	`x`
34.6%	1	`y`
34.6%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7699933588139643e-286	9.677044076413986e-242

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7699933588139643e-286	9.677044076413986e-242

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7699933588139643e-286	9.677044076413986e-242

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch29.0ms (0.5%)

Memory

8.1MiB live, 82.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2835769435739213e-6	5.004413918965051
16.0ms	-7741443599.377553	-1.3411642631460338e-7

Samples

15.0ms

304×

valid

Compiler

Compiled 238 to 276 computations (-16% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (62.5% of total)

ival-mult: 2.0ms (20.8% of total)

ival-sub: 1.0ms (10.4% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.9946979676808e+298	5.1714597266128494e+299
0.0ms	-inf	-7.582955763698189e+307

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7699933588139643e-286	9.677044076413986e-242

Compiler

Compiled 10 to 10 computations (0% saved)

simplify51.0ms (0.9%)

Memory

-13.1MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	321
1	72	321
2	85	321
3	90	321
4	92	321

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
#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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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 -7600000000 binary64)) #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))
#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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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 -7600000000 binary64)) #s(approx (- (+ x y) (* x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))))
(if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 y x) (.f64 y x)) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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 -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 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))

soundness1.5s (26.6%)

Memory

21.7MiB live, 571.4MiB 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	14	62
0	19	62
1	88	59
2	708	59
0	8480	59
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

Stop Event

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

Compiler

Compiled 304 to 179 computations (41.1% saved)

preprocess70.0ms (1.2%)

Memory: 8.2MiB live, 160.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 392 to 124 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample575.0ms (10.3%)

explain57.0ms (1%)

preprocess47.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.4%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

simplify355.0ms (6.3%)

rewrite281.0ms (5%)

eval56.0ms (1%)

prune5.0ms (0.1%)

simplify58.0ms (1%)

localize68.0ms (1.2%)

series9.0ms (0.2%)

simplify303.0ms (5.4%)

rewrite407.0ms (7.3%)

eval109.0ms (2%)

prune53.0ms (0.9%)

simplify40.0ms (0.7%)

localize79.0ms (1.4%)

series12.0ms (0.2%)

simplify227.0ms (4.1%)

rewrite504.0ms (9%)

eval65.0ms (1.2%)

prune45.0ms (0.8%)

simplify20.0ms (0.4%)

localize22.0ms (0.4%)

series4.0ms (0.1%)

simplify197.0ms (3.5%)

rewrite180.0ms (3.2%)

eval18.0ms (0.3%)

prune8.0ms (0.1%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes39.0ms (0.7%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify51.0ms (0.9%)

soundness1.5s (26.6%)

preprocess70.0ms (1.2%)

end0.0ms (0%)

Profiling

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

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

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

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