Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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 8 computations (11.1% saved)

sample553.0ms (8.7%)

Memory

33.8MiB live, 762.5MiB allocated

Samples

351.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

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

ival-add: 55.0ms (33.1% of total)

ival-mult: 52.0ms (31.3% of total)

ival-sub: 46.0ms (27.7% of total)

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

exact: 4.0ms (2.4% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain69.0ms (1.1%)

Memory

11.9MiB live, 131.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) y)`
-	-	`y`
-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
-	-	`#s(literal 1 binary64)`
-	-	`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

30.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 9.0ms (54.2% of total)

ival-add: 3.0ms (18.1% of total)

ival-mult: 3.0ms (18.1% of total)

ival-true: 1.0ms (6% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

preprocess62.0ms (1%)

Memory

-30.7MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Rules

496×	`lower-fma.f64`
496×	`lower-fma.f32`
232×	`unsub-neg`
192×	`lower-*.f32`
190×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	39	39
2	123	37
3	509	35
4	1023	35
5	1335	35
6	1376	35
7	1380	35
0	6	7
0	9	7
1	15	7
2	27	7
3	58	7
4	109	7
5	191	7
6	354	7
7	562	7
8	636	7
9	641	7
0	641	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify57.0ms (0.9%)

Memory

-0.8MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) 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	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) y)
accuracy	0.015625	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Samples

10.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (42.7% of total)

ival-add: 1.0ms (21.4% of total)

ival-sub: 1.0ms (21.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

-32.5MiB live, 6.1MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* (+ x 1) y)
0.0ms	y	@	0	(* (+ x 1) y)
0.0ms	y	@	inf	(* (+ x 1) y)
0.0ms	x	@	inf	(* (+ x 1) y)
0.0ms	y	@	inf	(- (* (+ x 1) y) x)

simplify331.0ms (5.2%)

Memory

8.5MiB live, 184.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
3 480×	`lower-fma.f64`
3 480×	`lower-fma.f32`
1 896×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	978	291
4	2464	291
5	3594	291
6	4353	291
7	5298	291
8	5824	291
9	6390	291
10	7433	291
0	8102	250

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

rewrite573.0ms (9%)

Memory

1.7MiB live, 313.0MiB allocated

Rules

5 040×	`lower-fma.f64`
5 040×	`lower-fma.f32`
3 674×	`lower-/.f64`
3 674×	`lower-/.f32`
3 510×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13

Stop Event

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

Counts

3 → 328

Calls

Call 1

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

Outputs
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 x y) y)
(exp.f64 (log.f64 (fma.f64 x y y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (.f64 x (.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (.f64 x (.f64 x x)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 y (.f64 x (.f64 x x)) y)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 (.f64 y y) (.f64 x x) (-.f64 (.f64 y y) (.f64 (*.f64 x y) y))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y y (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 x x))) (-.f64 y (*.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) y) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (exp.f64 (log.f64 (fma.f64 y (.f64 x (.f64 x x)) y))) (exp.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (exp.f64 (log.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 x (.f64 x x)) y))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 (.f64 y y) (.f64 x x) (-.f64 (.f64 y y) (.f64 (*.f64 x y) y)))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y y (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y y))) (neg.f64 (-.f64 (*.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x y))))
(/.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (.f64 x (.f64 x x)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 y (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 y (.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 y (.f64 x (*.f64 x x)) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 x (.f64 x x)) y) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(+.f64 y (fma.f64 x y (neg.f64 x)))
(+.f64 y (-.f64 (*.f64 x y) x))
(+.f64 (fma.f64 x y y) (neg.f64 x))
(+.f64 (neg.f64 x) (fma.f64 x y y))
(+.f64 (/.f64 (.f64 (fma.f64 x y y) (.f64 (fma.f64 x y y) (fma.f64 x y y))) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y))))))
(+.f64 (/.f64 (.f64 (fma.f64 x y y) (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y)))))
(+.f64 (*.f64 x y) (+.f64 y (neg.f64 x)))
(+.f64 (*.f64 x y) (-.f64 y x))
(+.f64 (+.f64 (neg.f64 x) (*.f64 x y)) y)
(+.f64 (+.f64 (neg.f64 x) y) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y y) x))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 x y y)))
(-.f64 (/.f64 (.f64 (fma.f64 x y y) (.f64 (fma.f64 x y y) (fma.f64 x y y))) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))))
(-.f64 (/.f64 (.f64 (fma.f64 x y y) (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y))))
(-.f64 (+.f64 (fma.f64 x y y) #s(literal 0 binary64)) x)
(fma.f64 x y (+.f64 y (neg.f64 x)))
(fma.f64 x y (-.f64 y x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x y y))
(fma.f64 #s(literal 1 binary64) y (fma.f64 x y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (-.f64 (*.f64 x y) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 x y y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 y x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 y (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y)))))
(fma.f64 y x (+.f64 y (neg.f64 x)))
(fma.f64 y x (-.f64 y x))
(fma.f64 y #s(literal 1 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (-.f64 (*.f64 x y) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 y (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x y y)) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 x y y)))))
(fma.f64 (fma.f64 x y y) (/.f64 (.f64 (fma.f64 x y y) (fma.f64 x y y)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (.f64 (fma.f64 x y y) (fma.f64 x y y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y y)) (*.f64 (fma.f64 x y y) (fma.f64 x y y))))))
(fma.f64 (fma.f64 x y y) (/.f64 (fma.f64 x y y) (+.f64 x (fma.f64 x y y))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 x y y)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y) (neg.f64 x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 x))
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(/.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 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))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))

eval71.0ms (1.1%)

Memory: -9.7MiB live, 112.0MiB allocated
Compiler: Compiled 11 207 to 1 034 computations (90.8% saved)

prune64.0ms (1%)

Memory

-13.3MiB live, 155.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	378	6	384
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	6	385

Accuracy

100.0%

Counts

385 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (-.f64 y x))
	83.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) x)
▶	73.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	61.4%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	65.7%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
▶	35.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 104 to 58 computations (44.2% saved)

simplify34.0ms (0.5%)

Memory

31.5MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

672×	`lower-fma.f32`
668×	`lower-fma.f64`
288×	`lower-*.f32`
284×	`lower-*.f64`
192×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.5%)

Memory

-21.3MiB live, 102.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	0.015625	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	31.77395387073646	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.015625	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy	30.833112280314964	#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy	0	(fma.f64 y x y)
accuracy	21.934074743096467	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
accuracy	0	(neg.f64 x)
accuracy	41.38599399432294	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy	0	(-.f64 y x)
accuracy	0.00390625	(fma.f64 y x (-.f64 y x))

Samples

62.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 73 to 13 computations (82.2% saved)

Precisions

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

ival-sub: 40.0ms (78.8% of total)

ival-add: 6.0ms (11.8% of total)

ival-mult: 4.0ms (7.9% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-7.6MiB live, 31.0MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

simplify224.0ms (3.5%)

Memory

2.0MiB live, 279.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
3 480×	`lower-fma.f64`
3 480×	`lower-fma.f32`
1 922×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1270
1	193	1270
2	505	1270
3	1125	1270
4	2448	1270
5	3564	1270
6	4317	1270
7	5261	1270
8	5787	1270
9	6353	1270
10	7396	1270
0	8065	1107

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 251

Calls

Call 1

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

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

rewrite392.0ms (6.2%)

Memory

4.8MiB live, 440.6MiB allocated

Rules

12 986×	`lower-fma.f32`
12 982×	`lower-fma.f64`
5 342×	`lower-*.f32`
5 338×	`lower-*.f64`
3 420×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	26	81
1	114	77
2	919	77
0	8653	77

Stop Event

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

Counts

12 → 460

Calls

Call 1

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

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

eval88.0ms (1.4%)

Memory: 13.2MiB live, 163.1MiB allocated
Compiler: Compiled 14 136 to 1 151 computations (91.9% saved)

prune95.0ms (1.5%)

Memory

-6.0MiB live, 202.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	709	2	711
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	710	7	717

Accuracy

100.0%

Counts

717 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
▶	61.4%	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
▶	83.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) x)
✓	73.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	65.7%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	35.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	28.7%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 59 to 32 computations (45.8% saved)

simplify290.0ms (4.6%)

Memory

44.1MiB live, 500.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(+.f64 x #s(literal -1 binary64))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) x)
cost-diff	512	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* y x) y) (*.f64 x y))
cost-diff	0	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))

Rules

22 100×	`lower-fma.f32`
22 096×	`lower-fma.f64`
3 282×	`lower-*.f32`
3 278×	`lower-*.f64`
2 438×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	32	89
1	59	89
2	115	89
3	312	86
4	1093	86
5	3091	86
6	6998	86
0	8043	80

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.8%)

Memory

-45.8MiB live, 146.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
accuracy	33.02092940244289	#s(approx (- y x) (neg.f64 x))
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) x)
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))
accuracy	2.3714308340979833	(*.f64 y (fma.f64 x x #s(literal -1 binary64)))
accuracy	8.505123296709524	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))
accuracy	0	(*.f64 x y)
accuracy	21.934074743096467	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy	30.833112280314964	#s(approx (+ (* y x) y) (*.f64 x y))

Samples

53.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 91 to 22 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 24.0ms (57.7% of total)

ival-mult: 7.0ms (16.8% of total)

ival-add: 6.0ms (14.4% of total)

ival-div: 3.0ms (7.2% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

0.3MiB live, 38.1MiB allocated

Counts

11 → 240

Calls

Call 1

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

Outputs
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (patch #s(approx (- ( (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (.f64 x y)) (patch #s(approx (+ ( y x) y) (*.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>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (fma.f64 x x #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ y (* -1 (/ y (pow x 2))))) (taylor inf x) (#s(alt (.f64 y (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 y (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ y (* -1 (/ y (pow x 2))))) (taylor inf x) (#s(alt (.f64 y (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 y (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (.f64 y (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 y (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ y (* -1 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (.f64 y (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 y (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ y (* -1 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (.f64 y (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 y (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ y (* -1 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (.f64 y (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 y (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* y (+ (* x x) -1))
1.0ms	x	@	0	(/ (+ x -1) (* y (+ (* x x) -1)))
1.0ms	y	@	0	(/ 1 (/ (+ x -1) (* y (+ (* x x) -1))))
1.0ms	y	@	inf	(/ 1 (/ (+ x -1) (* y (+ (* x x) -1))))
1.0ms	x	@	0	(/ 1 (/ (+ x -1) (* y (+ (* x x) -1))))

simplify258.0ms (4.1%)

Memory

-3.9MiB live, 266.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 020×	`lower-fma.f64`
11 020×	`lower-fma.f32`
3 072×	`lower-*.f64`
3 072×	`lower-*.f32`
1 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1319
1	366	1306
2	1005	1305
3	2645	1287
4	6191	1285
0	8346	1146

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 230

Calls

Call 1

Inputs
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* 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 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y 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 y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ (* y (- (pow x 2) 1)) (- x 1))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x y))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x)
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
(/ (- x 1) (* y (- (pow x 2) 1)))
y
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 x)
(- (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) x)
(- (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) x)
(- (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) x)
(* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1))))
(* y (- (+ (* -1 (/ x y)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))))
(* y (- (+ (* -1 (/ x y)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))))
(* y (- (+ (* -1 (/ x y)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))))
(/ (* y (- (pow x 2) 1)) (- x 1))
(* -1 (* y (+ (* -1 (/ (- (pow x 2) 1) (- x 1))) (/ x y))))
(* -1 (* y (+ (* -1 (/ (- (pow x 2) 1) (- x 1))) (/ x y))))
(* -1 (* y (+ (* -1 (/ (- (pow x 2) 1) (- x 1))) (/ x y))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -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 (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* y (- (pow x 2) 1))
(* -1 y)
(+ (* -1 y) (* (pow x 2) y))
(+ (* -1 y) (* (pow x 2) y))
(+ (* -1 y) (* (pow x 2) y))
(* (pow x 2) y)
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* (pow x 2) y)
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))

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

rewrite433.0ms (6.8%)

Memory

47.0MiB live, 397.6MiB allocated

Rules

8 878×	`lower-fma.f32`
8 874×	`lower-fma.f64`
4 136×	`lower-/.f32`
4 132×	`lower-/.f64`
3 904×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
0	32	77
1	154	74
2	1312	74
0	8546	68

Stop Event

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

Counts

11 → 582

Calls

Call 1

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

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

eval163.0ms (2.6%)

Memory: -16.1MiB live, 190.6MiB allocated
Compiler: Compiled 16 498 to 2 016 computations (87.8% saved)

prune167.0ms (2.6%)

Memory

19.3MiB live, 245.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	811	1	812
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	812	7	819

Accuracy

100.0%

Counts

819 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	61.4%	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
▶	73.2%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x)
✓	73.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	65.7%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	35.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	28.7%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 53 to 28 computations (47.2% saved)

simplify288.0ms (4.5%)

Memory

-12.0MiB live, 348.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

9 302×	`lower-fma.f64`
9 302×	`lower-fma.f32`
2 802×	`lower-*.f64`
2 802×	`lower-*.f32`
1 700×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	16	57
1	34	57
2	58	57
3	124	45
4	279	45
5	693	45
6	2507	45
7	6330	45
0	8226	42

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

-18.4MiB live, 66.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x)
accuracy	0.1875	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)))
accuracy	31.367763890116557	#s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))

Samples

25.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-add: 9.0ms (48.6% of total)

ival-div: 5.0ms (27% of total)

ival-mult: 3.0ms (16.2% of total)

ival-sub: 1.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt y (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x (+ 1 (* -1 y))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x (+ 1 (* -1 y))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x (+ 1 (* -1 y))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) x) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) x) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) x) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (/ x y)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (/ x y)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (/ x y)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))) (taylor inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (- (pow x 2) 1) (- x 1))) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (- (pow x 2) 1) (- x 1))) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (- (pow x 2) 1) (- x 1))) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) (patch (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (- (pow x 2) 1)) (- x 1)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 y) (/ 1 (* x y))) x) (taylor inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x) (taylor inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x) (taylor inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor 0 y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor 0 y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor 0 y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor 0 y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor -inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor -inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor -inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (* y (- (pow x 2) 1))) (taylor -inf y) (#s(alt #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())

Calls

21 calls:

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

simplify247.0ms (3.9%)

Memory

-15.9MiB live, 279.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 816×	`lower-fma.f64`
9 816×	`lower-fma.f32`
3 420×	`lower-*.f64`
3 420×	`lower-*.f32`
1 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	771
1	239	722
2	654	722
3	1832	517
4	5636	515
0	8195	458

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

rewrite241.0ms (3.8%)

Memory

30.6MiB live, 294.1MiB allocated

Rules

4 416×	`lower-fma.f64`
4 416×	`lower-fma.f32`
4 286×	`lower-*.f64`
4 286×	`lower-*.f32`
3 866×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
0	16	54
1	88	42
2	634	42
3	7830	42
0	8287	39

Stop Event

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

Counts

4 → 137

Calls

Call 1

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

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

eval55.0ms (0.9%)

Memory: -19.5MiB live, 33.3MiB allocated
Compiler: Compiled 5 674 to 404 computations (92.9% saved)

prune45.0ms (0.7%)

Memory

9.2MiB live, 47.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	219	7	226

Accuracy

100.0%

Counts

226 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	61.4%	(fma.f64 y x #s(approx (- y x) (neg.f64 x)))
✓	73.2%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) (* y (+ (* x x) -1))) (/.f64 #s(literal 1 binary64) y))) x)
✓	73.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	65.7%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	35.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	28.7%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 121 to 54 computations (55.4% saved)

regimes44.0ms (0.7%)

Memory

-15.2MiB live, 22.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (-.f64 y x))

Calls

3 calls:

36.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y

Results

Accuracy	Segments	Branch
98.9%	3	`x`
99.1%	3	`y`
88.9%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes18.0ms (0.3%)

Memory

-28.1MiB live, 10.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
90.1%	3	`x`
88.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
88.8%	3	`y`
65.7%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
69.2%	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.3%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
43.9%	5	`x`
60.6%	3	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-29.4MiB live, 11.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	y

Results

Accuracy	Segments	Branch
35.3%	1	`x`
35.3%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
35.3%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch27.0ms (0.4%)

Memory

5.4MiB live, 41.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.843364794167746e-18	0.00027677285165845995
9.0ms	-211445988566.87833	-6268482.7571949605

Samples

11.0ms

288×

valid

Compiler

Compiled 318 to 191 computations (39.9% saved)

Precisions

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

ival-add: 2.0ms (37.9% of total)

ival-mult: 2.0ms (37.9% of total)

ival-sub: 1.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Memory

13.2MiB live, 47.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.906679347819519e-87	1.5905527248285724e-86
11.0ms	-1.1007321088397982e-49	-5.667180229642154e-62

Samples

10.0ms

256×

valid

Compiler

Compiled 284 to 155 computations (45.4% saved)

Precisions

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

ival-mult: 2.0ms (43.9% of total)

ival-sub: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Memory

13.6MiB live, 48.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.843364794167746e-18	0.00027677285165845995
10.0ms	-4.769410107767335e-23	-9.388875195577867e-30

Samples

10.0ms

272×

valid

Compiler

Compiled 278 to 163 computations (41.4% saved)

Precisions

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

ival-add: 2.0ms (39.3% of total)

ival-mult: 2.0ms (39.3% of total)

ival-sub: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch44.0ms (0.7%)

Memory

-42.6MiB live, 22.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	0.00027677285165845995	99.82478881200856
5.0ms	-6268482.7571949605	-3906190.3779963823

Samples

35.0ms

208×

valid

Compiler

Compiled 194 to 115 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 13.0ms (87.2% of total)

ival-sub: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	193
1	57	193
2	62	193
3	63	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -6500000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4980620899901579/18446744073709551616 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 x #s(literal -5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 2183751123623359/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 y #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -3950000 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -6500000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4980620899901579/18446744073709551616 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -6500000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4980620899901579/18446744073709551616 binary64)) (-.f64 (.f64 y #s(approx (+ x 1) #s(literal 1 binary64))) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 x #s(literal -5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 2183751123623359/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 y #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -3950000 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y)))))
(if (<=.f64 y #s(literal -3950000 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

soundness939.0ms (14.8%)

Memory

5.3MiB live, 473.3MiB allocated

Rules

5 040×	`lower-fma.f64`
5 040×	`lower-fma.f32`
4 192×	`lower-*.f64`
4 192×	`lower-*.f32`
4 192×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1270
1	193	1270
2	505	1270
3	1125	1270
4	2448	1270
5	3564	1270
6	4317	1270
7	5261	1270
8	5787	1270
9	6353	1270
10	7396	1270
0	8065	1107
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13
0	41	291
1	140	291
2	363	291
3	978	291
4	2464	291
5	3594	291
6	4353	291
7	5298	291
8	5824	291
9	6390	291
10	7433	291
0	8102	250

Stop Event

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

Compiler

Compiled 169 to 74 computations (56.2% saved)

preprocess79.0ms (1.2%)

Memory: 14.5MiB live, 89.4MiB allocated
Compiler: Compiled 222 to 80 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87

start0.0ms (0%)

analyze0.0ms (0%)

sample553.0ms (8.7%)

explain69.0ms (1.1%)

preprocess62.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.9%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

simplify331.0ms (5.2%)

rewrite573.0ms (9%)

eval71.0ms (1.1%)

prune64.0ms (1%)

simplify34.0ms (0.5%)

localize93.0ms (1.5%)

series11.0ms (0.2%)

simplify224.0ms (3.5%)

rewrite392.0ms (6.2%)

eval88.0ms (1.4%)

prune95.0ms (1.5%)

simplify290.0ms (4.6%)

localize117.0ms (1.8%)

series17.0ms (0.3%)

simplify258.0ms (4.1%)

rewrite433.0ms (6.8%)

eval163.0ms (2.6%)

prune167.0ms (2.6%)

simplify288.0ms (4.5%)

localize37.0ms (0.6%)

series4.0ms (0.1%)

simplify247.0ms (3.9%)

rewrite241.0ms (3.8%)

eval55.0ms (0.9%)

prune45.0ms (0.7%)

regimes44.0ms (0.7%)

regimes9.0ms (0.1%)

regimes18.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch24.0ms (0.4%)

bsearch24.0ms (0.4%)

bsearch44.0ms (0.7%)

simplify9.0ms (0.1%)

soundness939.0ms (14.8%)

preprocess79.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	18	91
0	26	91
1	42	87
2	70	87
3	110	87
4	238	87
5	419	87
6	599	87
7	689	87
8	699	87
9	701	87
0	701	87