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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB 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)

sample577.0ms (3.2%)

Memory

6.7MiB live, 1 151.1MiB allocated

Samples

374.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 83.0ms (45.5% of total)

ival-add: 51.0ms (28% of total)

ival-sub: 39.0ms (21.4% of total)

ival-true: 6.0ms (3.3% of total)

ival-assert: 4.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain61.0ms (0.3%)

Memory

-22.3MiB live, 136.3MiB 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

23.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

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

ival-mult: 4.0ms (39.2% of total)

ival-sub: 3.0ms (29.4% of total)

ival-add: 3.0ms (29.4% of total)

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

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

preprocess53.0ms (0.3%)

Memory

17.2MiB live, 95.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Samples

0.0ms

2×

valid

Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify125.0ms (0.7%)

Memory

-7.6MiB live, 279.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

Samples

42.0ms

1 305×

valid

Compiler

Compiled 7 157 to 6 584 computations (8% saved)

Precisions

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

ival-add: 4.0ms (34.5% of total)

ival-mult: 4.0ms (34.5% of total)

ival-sub: 1.0ms (8.6% of total)

ival-true: 1.0ms (8.6% of total)

ival-assert: 1.0ms (8.6% of total)

exact: 0.0ms (0% of total)

localize18.0ms (0.1%)

Memory

-0.8MiB live, 38.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 2.0ms (41.8% of total)

ival-sub: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

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

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

series5.0ms (0%)

Memory

10.2MiB live, 10.2MiB 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 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 (* 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 (+ 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 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 (* 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 (+ 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 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 (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 (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 (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 (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 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 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 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 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 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 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 (* 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>) () ())) ())

Calls

18 calls:

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

simplify2.0s (11.1%)

Memory

52.3MiB live, 4 270.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
4 022×	`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	848	280
4	2183	280
5	3268	280
6	4153	280
7	4757	280
8	5102	280
9	5329	280
10	5424	280
11	5464	280
12	5484	280
13	5484	280
14	5502	280
15	5502	280
0	9585	262

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 64

Calls

Call 1

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

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

Samples

691.0ms

18 481×

valid

Compiler

Compiled 122 409 to 112 022 computations (8.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-add: 107.0ms (39.9% of total)

ival-mult: 105.0ms (39.1% of total)

ival-sub: 23.0ms (8.6% of total)

ival-true: 15.0ms (5.6% of total)

ival-assert: 9.0ms (3.4% of total)

ival-neg: 6.0ms (2.2% of total)

exact: 4.0ms (1.5% of total)

rewrite609.0ms (3.4%)

Memory

22.7MiB live, 340.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 189

Calls

Call 1

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

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

eval226.0ms (1.2%)

Memory: -13.3MiB live, 63.4MiB allocated
Compiler: Compiled 7 392 to 553 computations (92.5% saved)

prune33.0ms (0.2%)

Memory

3.7MiB live, 87.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

100.0%

Counts

254 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (+ x y) (* x y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
▶	63.1%	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
▶	67.5%	#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 y x)))

Compiler

Compiled 25 to 13 computations (48% saved)

simplify376.0ms (2.1%)

Memory

-13.5MiB live, 825.3MiB 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 y (-.f64 #s(literal 1 binary64) x) x)
cost-diff	0	#s(approx (- (+ x y) (* x y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 y (*.f64 y x))
cost-diff	0	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 x (*.f64 y x))
cost-diff	0	#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 y x)))

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	72
0	20	72
1	43	72
2	67	69
3	99	69
4	176	69
5	302	69
6	442	69
7	545	69
8	547	69
0	547	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

Samples

144.0ms

4 217×

valid

Compiler

Compiled 25 037 to 22 885 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 17.0ms (28.2% of total)

ival-add: 14.0ms (23.2% of total)

ival-sub: 13.0ms (21.6% of total)

ival-neg: 11.0ms (18.3% of total)

ival-true: 3.0ms (5% of total)

ival-assert: 2.0ms (3.3% of total)

exact: 1.0ms (1.7% of total)

localize36.0ms (0.2%)

Memory

12.5MiB live, 50.9MiB 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 y (-.f64 #s(literal 1 binary64) x) x))
accuracy	0.00390625	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
accuracy	0	(-.f64 y (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	23.590381859069623	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	0.015625	(-.f64 x (*.f64 y x))
accuracy	20.814859930825584	#s(approx (- (+ x y) (* x y)) (-.f64 x (*.f64 y x)))

Samples

21.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 5.0ms (41.2% of total)

ival-sub: 4.0ms (33% of total)

ival-add: 3.0ms (24.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

8 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* y (- 1 x)) x)
0.0ms	y	@	-inf	(+ (* y (- 1 x)) x)
0.0ms	y	@	0	(+ (* y (- 1 x)) x)
0.0ms	x	@	inf	(+ (* y (- 1 x)) x)
0.0ms	x	@	-inf	(+ (* y (- 1 x)) x)

simplify5.1s (28.2%)

Memory

-119.5MiB live, 9 827.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	924
1	203	924
2	462	924
3	1409	924
4	2758	924
5	3747	924
6	4337	924
7	5031	924
8	5554	924
9	6080	924
10	7109	924
0	8083	852

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 170

Calls

Call 1

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

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

Samples

2.0s

46 180×

valid

Compiler

Compiled 362 336 to 310 385 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 836.0ms

ival-mult: 349.0ms (41.7% of total)

ival-add: 216.0ms (25.8% of total)

ival-neg: 109.0ms (13% of total)

ival-sub: 95.0ms (11.4% of total)

ival-true: 36.0ms (4.3% of total)

ival-assert: 24.0ms (2.9% of total)

exact: 7.0ms (0.8% of total)

rewrite242.0ms (1.3%)

Memory

26.8MiB live, 463.1MiB allocated

Rules

5 916×	`lower-fma.f32`
5 914×	`lower-fma.f64`
4 714×	`lower-*.f32`
4 712×	`lower-*.f64`
4 090×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	20	62
1	111	62
2	809	59
0	8473	59

Stop Event

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

Counts

8 → 309

Calls

Call 1

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

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

eval59.0ms (0.3%)

Memory: -14.9MiB live, 140.2MiB allocated
Compiler: Compiled 10 891 to 861 computations (92.1% saved)

prune55.0ms (0.3%)

Memory

22.6MiB live, 140.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	502	3	505
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	504	4	508

Accuracy

100.0%

Counts

508 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
▶	70.8%	#s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓	63.1%	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
▶	31.2%	#s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))

Compiler

Compiled 32 to 16 computations (50% saved)

simplify373.0ms (2.1%)

Memory

-8.4MiB live, 861.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
0	26	90
1	52	90
2	73	90
3	116	90
4	172	90
5	336	90
6	455	90
7	584	90
8	665	90
9	685	90
10	687	90
11	690	90
12	692	90
0	692	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Samples

131.0ms

4 496×

valid

Compiler

Compiled 23 784 to 23 025 computations (3.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 15.0ms (33.8% of total)

ival-add: 10.0ms (22.5% of total)

ival-neg: 10.0ms (22.5% of total)

ival-true: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.5% of total)

ival-assert: 2.0ms (4.5% of total)

exact: 1.0ms (2.3% of total)

localize45.0ms (0.2%)

Memory

20.1MiB live, 98.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y) x x)
accuracy	0	(neg.f64 y)
accuracy	20.814859930825584	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
accuracy	0	#s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
accuracy	0.00390625	(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
accuracy	33.710328843873874	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(*.f64 y (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	23.590381859069623	#s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))
accuracy	28.087960798630153	#s(approx (- y (* y x)) (*.f64 y (neg.f64 x)))

Samples

30.0ms

256×

valid

Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (47.6% of total)

ival-add: 4.0ms (21.1% of total)

ival-sub: 3.0ms (15.9% of total)

ival-neg: 2.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-26.5MiB live, 17.2MiB allocated

Counts

10 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

simplify5.8s (32.1%)

Memory

134.4MiB live, 11 477.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 118×	`lower-*.f64`
4 118×	`lower-*.f32`
3 496×	`lower-fma.f64`
3 496×	`lower-fma.f32`
2 080×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	996
1	208	996
2	481	996
3	1325	996
4	2767	996
5	3795	996
6	4383	996
7	5080	996
8	5602	996
9	6128	996
10	7133	996
0	8107	924

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 194

Calls

Call 1

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

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

Samples

2.5s

52 324×

valid

Compiler

Compiled 405 324 to 353 390 computations (12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 394.0ms (33.2% of total)

ival-add: 392.0ms (33.1% of total)

ival-neg: 214.0ms (18.1% of total)

ival-sub: 109.0ms (9.2% of total)

ival-true: 42.0ms (3.5% of total)

ival-assert: 26.0ms (2.2% of total)

exact: 9.0ms (0.8% of total)

rewrite258.0ms (1.4%)

Memory

35.3MiB live, 389.6MiB allocated

Rules

6 940×	`lower-fma.f32`
6 936×	`lower-fma.f64`
4 706×	`lower-*.f32`
4 704×	`lower-*.f64`
3 990×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	26	83
1	121	83
2	840	83
0	8409	80

Stop Event

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

Counts

10 → 151

Calls

Call 1

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

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

eval41.0ms (0.2%)

Memory: -33.9MiB live, 89.9MiB allocated
Compiler: Compiled 4 704 to 400 computations (91.5% saved)

prune33.0ms (0.2%)

Memory

-4.1MiB live, 79.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	345	4	349

Accuracy

100.0%

Counts

349 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.5%	#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x))
✓	70.8%	#s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓	63.1%	#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
✓	31.2%	#s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))

Compiler

Compiled 78 to 32 computations (59% saved)

regimes9.0ms (0%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0%)

Memory

-17.8MiB live, 20.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.7%	3	`y`
98.9%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.9%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes6.0ms (0%)

Memory

21.2MiB live, 21.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.3%	3	`y`
99.3%	3	`x`
96.2%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0%)

Memory

-26.5MiB live, 10.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
1.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
87.5%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`
81.5%	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.8%	1	`x`
70.8%	1	`y`
70.8%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0967124523631728e-250	1.554513895208913e-275

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0967124523631728e-250	1.554513895208913e-275

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch52.0ms (0.3%)

Memory

-26.6MiB live, 97.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	2.6438499737977088e-36	229767.85415199565
12.0ms	-3373.6748024929466	-1.3260701201501511e-11

Samples

37.0ms

352×

valid

Compiler

Compiled 408 to 230 computations (43.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 21.0ms (84.3% of total)

ival-mult: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1599312408351714e+308	+inf
0.0ms	-inf	-3.3161054212005937e+305

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify285.0ms (1.6%)

Memory

46.2MiB live, 596.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	229
1	68	229
2	80	229
3	84	229
4	85	229

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (+ x y) (* x y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (+ x y) ( x y)) (-.f64 x (.f64 y x))) #s(approx (- (+ x y) ( x y)) (-.f64 y (*.f64 y x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (+ x y) (* x y)) (-.f64 x (.f64 y x))) (if (<=.f64 x #s(literal 192000 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) #s(approx (- y (* y x)) (.f64 y (neg.f64 x)))) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal +inf.0 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))))
#s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))

Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 x y))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (+ x y) ( x y)) (-.f64 x (.f64 y x))) #s(approx (- (+ x y) ( x y)) (-.f64 y (*.f64 y x))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (+ x y) ( x y)) (-.f64 x (.f64 x y))) #s(approx (- (+ x y) ( x y)) (-.f64 y (*.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (+ x y) (* x y)) (-.f64 x (.f64 y x))) (if (<=.f64 x #s(literal 192000 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (+ x y) (* x y)) (-.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 192000 binary64)) #s(approx (- (+ x y) ( x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 x (neg.f64 y))))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) #s(approx (- y (* y x)) (.f64 y (neg.f64 x)))) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal +inf.0 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))))))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (- (+ x y) ( x y)) #s(approx (- y (* y x)) (.f64 x (neg.f64 y)))) (if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal +inf.0 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) #s(approx (- y (* y x)) (*.f64 x (neg.f64 y))))))
#s(approx (- (+ x y) (* x y)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))

Samples

79.0ms	1 305×	0	valid
23.0ms	267×	0	invalid

Compiler

Compiled 32 124 to 20 144 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 21.0ms (34.8% of total)

ival-add: 11.0ms (18.2% of total)

ival-sub: 10.0ms (16.6% of total)

ival-if: 7.0ms (11.6% of total)

ival-<=: 5.0ms (8.3% of total)

ival-neg: 4.0ms (6.6% of total)

ival-assert: 1.0ms (1.7% of total)

ival-true: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

soundness1.5s (8.4%)

Memory

-10.9MiB live, 507.6MiB allocated

Rules

19 840×	`lower-fma.f64`
19 840×	`lower-fma.f32`
5 916×	`lower-fma.f32`
5 914×	`lower-fma.f64`
4 714×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	924
1	203	924
2	462	924
3	1409	924
4	2758	924
5	3747	924
6	4337	924
7	5031	924
8	5554	924
9	6080	924
10	7109	924
0	8083	852
0	42	280
1	125	280
2	282	280
3	848	280
4	2183	280
5	3268	280
6	4153	280
7	4757	280
8	5102	280
9	5329	280
10	5424	280
11	5464	280
12	5484	280
13	5484	280
14	5502	280
15	5502	280
0	9585	262
0	14	62
0	20	62
1	111	62
2	809	59
0	8473	59

Stop Event

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

Compiler

Compiled 237 to 98 computations (58.6% saved)

preprocess38.0ms (0.2%)

Memory: 13.4MiB live, 91.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 282 to 80 computations (71.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	14	72
0	20	72
1	43	72
2	67	69
3	99	69
4	176	69
5	302	69
6	442	69
7	545	69
8	547	69
0	547	69

Iter	Nodes	Cost
0	19	90
0	26	90
1	52	90
2	73	90
3	116	90
4	172	90
5	336	90
6	455	90
7	584	90
8	665	90
9	685	90
10	687	90
11	690	90
12	692	90
0	692	87

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

Iter	Nodes	Cost
0	14	72
0	20	72
1	43	72
2	67	69
3	99	69
4	176	69
5	302	69
6	442	69
7	545	69
8	547	69
0	547	69

Iter	Nodes	Cost
0	19	90
0	26	90
1	52	90
2	73	90
3	116	90
4	172	90
5	336	90
6	455	90
7	584	90
8	665	90
9	685	90
10	687	90
11	690	90
12	692	90
0	692	87

start0.0ms (0%)

analyze0.0ms (0%)

sample577.0ms (3.2%)

explain61.0ms (0.3%)

preprocess53.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (0.7%)

localize18.0ms (0.1%)

series5.0ms (0%)

simplify2.0s (11.1%)

rewrite609.0ms (3.4%)

eval226.0ms (1.2%)

prune33.0ms (0.2%)

simplify376.0ms (2.1%)

localize36.0ms (0.2%)

series7.0ms (0%)

simplify5.1s (28.2%)

rewrite242.0ms (1.3%)

eval59.0ms (0.3%)

prune55.0ms (0.3%)

simplify373.0ms (2.1%)

localize45.0ms (0.2%)

series11.0ms (0.1%)

simplify5.8s (32.1%)

rewrite258.0ms (1.4%)

eval41.0ms (0.2%)

prune33.0ms (0.2%)

regimes9.0ms (0%)

regimes9.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.3%)

bsearch0.0ms (0%)

simplify285.0ms (1.6%)

soundness1.5s (8.4%)

preprocess38.0ms (0.2%)

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	72
0	20	72
1	43	72
2	67	69
3	99	69
4	176	69
5	302	69
6	442	69
7	545	69
8	547	69
0	547	69

Iter	Nodes	Cost
0	19	90
0	26	90
1	52	90
2	73	90
3	116	90
4	172	90
5	336	90
6	455	90
7	584	90
8	665	90
9	685	90
10	687	90
11	690	90
12	692	90
0	692	87