Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample708.0ms (14%)

Memory

-12.9MiB live, 876.0MiB allocated

Samples

451.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-add: 91.0ms (50.7% of total)

ival-mult: 79.0ms (44% of total)

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

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

adjust: 0.0ms (0% of total)

Bogosity

explain77.0ms (1.5%)

Memory

13.8MiB live, 89.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 47 to 19 computations (59.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (43.6% of total)

ival-mult: 4.0ms (43.6% of total)

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

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

preprocess39.0ms (0.8%)

Memory

-6.0MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Rules

89×	`sub-neg`
85×	`cancel-sign-sub-inv`
78×	`unsub-neg`
69×	`distribute-rgt-in`
60×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	51	38
2	164	35
3	558	35
4	1126	35
5	1291	35
6	1297	35
0	5	7
0	8	7
1	13	7
2	23	7
3	30	7
4	38	7
5	44	7
6	54	7
7	60	7
8	64	7
0	64	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

38×	`lower-fma.f64`
38×	`lower-fma.f32`
24×	`lower-*.f32`
23×	`lower-*.f64`
16×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	23	17
3	30	17
4	38	17
5	44	17
6	54	17
7	60	17
8	64	17
0	64	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.8%)

Memory

-17.4MiB live, 27.8MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-mult: 22.0ms (89.2% of total)

ival-add: 2.0ms (8.1% of total)

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

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

series5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify191.0ms (3.8%)

Memory

-6.0MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 156×	`lower-fma.f64`
4 156×	`lower-fma.f32`
1 584×	`lower-*.f64`
1 584×	`lower-*.f32`
1 244×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	332
1	131	332
2	333	332
3	948	332
4	2142	332
5	3039	332
6	3608	332
7	4320	332
8	4535	332
9	4679	332
10	5377	332
0	8581	289

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite243.0ms (4.8%)

Memory

30.4MiB live, 301.3MiB allocated

Rules

2 664×	`lower-fma.f64`
2 664×	`lower-fma.f32`
2 148×	`lower-*.f32`
2 147×	`lower-*.f64`
1 185×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	332	15
3	5289	15
0	8143	13

Stop Event

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

Counts

3 → 181

Calls

Call 1

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

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

eval28.0ms (0.6%)

Memory: -2.3MiB live, 70.9MiB allocated
Compiler: Compiled 6 709 to 551 computations (91.8% saved)

prune65.0ms (1.3%)

Memory

-18.5MiB live, 68.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	3	251

Accuracy

100.0%

Counts

251 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	65.2%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Compiler

Compiled 22 to 11 computations (50% saved)

simplify6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

38×	`lower-fma.f32`
35×	`lower-fma.f64`
24×	`lower-*.f64`
24×	`lower-*.f32`
16×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	18	46
1	33	46
2	45	46
3	51	46
4	61	46
5	67	46
6	71	46
0	71	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.7%)

Memory

-2.0MiB live, 70.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(fma.f64 y x y)
accuracy	22.874909098517012	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
accuracy	0	(fma.f64 y x x)
accuracy	22.254688945866544	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Samples

26.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

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

ival-add: 9.0ms (62.7% of total)

ival-mult: 5.0ms (34.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 132

Calls

Call 1

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

33 calls:

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

simplify328.0ms (6.5%)

Memory

-14.3MiB live, 384.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 684×	`lower-fma.f64`
14 684×	`lower-fma.f32`
1 678×	`lower-*.f64`
1 678×	`lower-*.f32`
1 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	698
1	182	698
2	465	698
3	1204	698
4	2733	698
5	3564	698
6	3960	698
7	4242	698
8	4391	698
9	4479	698
0	8388	590

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 122

Calls

Call 1

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

rewrite437.0ms (8.6%)

Memory

25.2MiB live, 220.6MiB allocated

Rules

5 693×	`lower-fma.f32`
5 690×	`lower-fma.f64`
2 685×	`lower-*.f64`
2 685×	`lower-*.f32`
1 960×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	18	39
1	99	39
2	692	39
0	8221	39

Stop Event

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

Counts

6 → 412

Calls

Call 1

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

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

eval456.0ms (9%)

Memory: -44.4MiB live, 131.5MiB allocated
Compiler: Compiled 12 704 to 1 038 computations (91.8% saved)

prune87.0ms (1.7%)

Memory

13.0MiB live, 89.4MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	532	2	534
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	533	4	537

Accuracy

100.0%

Counts

537 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	65.2%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	30.3%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 28 to 13 computations (53.6% saved)

simplify6.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

44×	`lower-fma.f32`
43×	`lower-fma.f64`
32×	`lower-*.f32`
31×	`lower-*.f64`
18×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
0	17	47
1	29	47
2	37	47
3	40	47
4	52	47
5	52	47
6	72	47
7	75	47
8	77	47
0	77	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.8%)

Memory

-0.0MiB live, 41.3MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
accuracy	32.907454016968586	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	22.874909098517012	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy	30.502191074214874	#s(approx (+ (* y x) y) (*.f64 x y))

Samples

28.0ms

256×

valid

Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions

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

ival-add: 5.0ms (45.9% of total)

ival-mult: 5.0ms (45.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 108

Calls

Call 1

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

27 calls:

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

simplify272.0ms (5.4%)

Memory

3.0MiB live, 389.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 684×	`lower-fma.f64`
14 684×	`lower-fma.f32`
1 678×	`lower-*.f64`
1 678×	`lower-*.f32`
1 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	510
1	164	510
2	435	510
3	1193	510
4	2692	510
5	3506	510
6	3903	510
7	4190	510
8	4341	510
9	4429	510
0	8327	445

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

rewrite295.0ms (5.8%)

Memory

-0.7MiB live, 296.8MiB allocated

Rules

4 574×	`lower-fma.f32`
4 573×	`lower-fma.f64`
2 940×	`lower-*.f32`
2 939×	`lower-*.f64`
2 186×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	17	42
1	89	42
2	648	42
0	8288	39

Stop Event

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

Counts

5 → 75

Calls

Call 1

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

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

eval70.0ms (1.4%)

Memory: -26.7MiB live, 47.8MiB allocated
Compiler: Compiled 3 604 to 207 computations (94.3% saved)

prune82.0ms (1.6%)

Memory

-4.2MiB live, 42.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	176	4	180

Accuracy

100.0%

Counts

180 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	65.2%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	30.3%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 63 to 24 computations (61.9% saved)

regimes8.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes7.0ms (0.1%)

Memory

14.0MiB live, 14.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.8%	3	`y`
98.6%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0.2%)

Memory

-28.0MiB live, 10.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
65.2%	1	`x`
65.2%	1	`y`
65.2%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
30.3%	1	`x`
30.3%	1	`y`
30.3%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9783429184229892e-266	2.0236898537878156e-268

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	29	69

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 x y)))

Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
(if (<=.f64 (+.f64 (+.f64 (.f64 y x) x) y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

soundness1.4s (27.9%)

Memory

-23.9MiB live, 290.8MiB allocated

Rules

14 684×	`lower-fma.f64`
14 684×	`lower-fma.f32`
4 156×	`lower-fma.f64`
4 156×	`lower-fma.f32`
2 664×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	698
1	182	698
2	465	698
3	1204	698
4	2733	698
5	3564	698
6	3960	698
7	4242	698
8	4391	698
9	4479	698
0	8388	590
0	5	15
0	8	15
1	38	15
2	332	15
3	5289	15
0	8143	13
0	41	332
1	131	332
2	333	332
3	948	332
4	2142	332
5	3039	332
6	3608	332
7	4320	332
8	4535	332
9	4679	332
10	5377	332
0	8581	289

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 79 to 35 computations (55.7% saved)

preprocess96.0ms (1.9%)

Memory: 14.2MiB live, 53.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 142 to 66 computations (53.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample708.0ms (14%)

explain77.0ms (1.5%)

preprocess39.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize39.0ms (0.8%)

series5.0ms (0.1%)

simplify191.0ms (3.8%)

rewrite243.0ms (4.8%)

eval28.0ms (0.6%)

prune65.0ms (1.3%)

simplify6.0ms (0.1%)

localize36.0ms (0.7%)

series5.0ms (0.1%)

simplify328.0ms (6.5%)

rewrite437.0ms (8.6%)

eval456.0ms (9%)

prune87.0ms (1.7%)

simplify6.0ms (0.1%)

localize38.0ms (0.8%)

series3.0ms (0.1%)

simplify272.0ms (5.4%)

rewrite295.0ms (5.8%)

eval70.0ms (1.4%)

prune82.0ms (1.6%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness1.4s (27.9%)

preprocess96.0ms (1.9%)

end0.0ms (0%)

Profiling