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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (16.3%)

Memory

19.6MiB live, 928.4MiB allocated

Samples

877.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-add: 233.0ms (54.6% of total)

ival-mult: 185.0ms (43.4% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain70.0ms (1.1%)

Memory

-15.5MiB live, 185.9MiB 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

24.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 5.0ms (54.8% of total)

ival-mult: 4.0ms (43.8% of total)

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

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

preprocess34.0ms (0.5%)

Memory

10.1MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Rules

178×	`sub-neg`
170×	`cancel-sign-sub-inv`
156×	`unsub-neg`
138×	`distribute-rgt-in`
120×	`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) x) y x)

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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

76×	`lower-fma.f64`
76×	`lower-fma.f32`
48×	`lower-*.f32`
46×	`lower-*.f64`
32×	`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) x) y x)
(+.f64 (*.f64 x y) x)
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
x
y

localize16.0ms (0.2%)

Memory

-2.9MiB live, 36.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy	0.0078125	(+.f64 (*.f64 x y) x)

Samples

11.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (56% of total)

ival-add: 2.0ms (37.3% of total)

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

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

series6.0ms (0.1%)

Memory

-25.6MiB live, 13.5MiB 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 (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 (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 (* 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 (.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 (* 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 (* 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 (.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 (* -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 -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 (+ 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 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 y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) 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 (.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 (* 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 (* -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 (* -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 y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify157.0ms (2.4%)

Memory

8.7MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 312×	`lower-fma.f64`
8 312×	`lower-fma.f32`
3 168×	`lower-*.f64`
3 168×	`lower-*.f32`
2 488×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	332
1	131	332
2	333	332
3	942	332
4	2133	332
5	3036	332
6	3587	332
7	4298	332
8	4513	332
9	4656	332
10	5354	332
0	8413	289

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite188.0ms (2.8%)

Memory

-9.6MiB live, 239.1MiB allocated

Rules

5 328×	`lower-fma.f64`
5 328×	`lower-fma.f32`
4 296×	`lower-*.f32`
4 294×	`lower-*.f64`
2 370×	`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))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y x)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.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))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (.f64 y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)))
(.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) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (*.f64 y x) x)))
(.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))))
(*.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 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y x) 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 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (-.f64 (.f64 y x) x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 y x) x) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 y x) x) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.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 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 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 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(fma.f64 (.f64 y y) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 y x x)
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 x y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 x (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 y x x) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 (-.f64 y (fma.f64 y x x)) y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (-.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y x x) y))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 y x) x) y) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 y y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (pow.f64 (-.f64 y (fma.f64 y x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (fma.f64 y x x) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y x x) y))
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(fma.f64 x y (+.f64 y x))
(-.f64 (+.f64 y (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 y x) x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 y x x) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y x y) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.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)))

eval31.0ms (0.5%)

Memory: 10.4MiB live, 86.0MiB allocated
Compiler: Compiled 4 891 to 555 computations (88.7% saved)

prune5.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB 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)
▶	63.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	63.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify9.0ms (0.1%)

Memory

-38.6MiB live, 8.2MiB 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

76×	`lower-fma.f32`
70×	`lower-fma.f64`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`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)
(+.f64 (fma.f64 y x x) y)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
y

localize31.0ms (0.5%)

Memory

17.0MiB live, 55.4MiB 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	23.675371273250068	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
accuracy	0	(fma.f64 y x x)
accuracy	23.58973045655748	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Samples

23.0ms

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 (63.4% of total)

ival-mult: 5.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB 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 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 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 (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 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 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 #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 (* 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 (* 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 (* 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 (* 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 (* -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 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 (* -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 (* -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 (+ 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 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 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 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 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 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 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 (+ 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 (* 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 (* 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 (* 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 (+ 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 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 (* -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 (* -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 (* -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 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 (* -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 -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

6 calls:

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

simplify265.0ms (4%)

Memory

-3.3MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
3 356×	`lower-*.f64`
3 356×	`lower-*.f32`
2 524×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	698
1	182	698
2	465	698
3	1205	698
4	2732	698
5	3560	698
6	3956	698
7	4242	698
8	4392	698
9	4480	698
0	8407	590

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 122

Calls

Call 1

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

Outputs
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)
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
(+ 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))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x 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)
(+ 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)
(* 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)
(* 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)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (/ 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)
(* -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)
(* -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)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x 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)
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))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 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)
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
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)
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 (+ 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)
(* 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 (/ 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)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ 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)
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))
(* -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)
(* -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)
(* -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 y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -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 (+ 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))

rewrite2.2s (32.3%)

Memory

-4.8MiB live, 283.8MiB allocated

Rules

11 386×	`lower-fma.f32`
11 380×	`lower-fma.f64`
5 370×	`lower-*.f64`
5 370×	`lower-*.f32`
3 920×	`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))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) x) (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.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 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y x) x))))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.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))) (pow.f64 (-.f64 (.f64 y x) x) #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) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (*.f64 y x) x)))
(.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (.f64 y x) x) #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 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #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 (+.f64 (pow.f64 y #s(literal 3 binary64)) #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 (.f64 y x) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (fma.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 y x) x) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 y x) x) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x)))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) (.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)))
(neg.f64 (neg.f64 (fma.f64 y x x)))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 y y) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 y x x)
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y x)
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
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(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.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 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(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)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval66.0ms (1%)

Memory: -2.7MiB live, 152.5MiB allocated
Compiler: Compiled 10 072 to 1 208 computations (88% saved)

prune12.0ms (0.2%)

Memory

-2.9MiB live, 36.4MiB 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
▶	74.9%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	63.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	63.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	26.2%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 20 to 18 computations (10% saved)

simplify6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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 y x)
cost-diff	0	#s(approx (+ (* y x) y) (*.f64 y x))
cost-diff	0	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Rules

88×	`lower-fma.f32`
86×	`lower-fma.f64`
64×	`lower-*.f32`
62×	`lower-*.f64`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
0	17	47
1	30	47
2	38	47
3	41	47
4	53	47
5	53	47
6	73	47
7	76	47
8	78	47
0	78	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 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
y
x
(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 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
y
x
(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

localize27.0ms (0.4%)

Memory

0.7MiB live, 39.5MiB 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	32.453489683580734	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	23.675371273250068	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	31.487437825031467	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

20.0ms

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 (46% of total)

ival-mult: 5.0ms (46% 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

7.6MiB live, 7.6MiB allocated

Counts

5 → 108

Calls

Call 1

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

6 calls:

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

simplify545.0ms (8.2%)

Memory

-181.7MiB live, 249.3MiB allocated

Algorithm

1×	egg-herbie

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
3 356×	`lower-*.f64`
3 356×	`lower-*.f32`
2 524×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	510
1	164	510
2	435	510
3	1187	510
4	2706	510
5	3498	510
6	3894	510
7	4177	510
8	4326	510
9	4412	510
0	8340	445

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

Outputs
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))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ 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)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 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)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x 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)
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)
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 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)
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 (+ 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)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 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)
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))
(* -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 y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -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 (+ 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))

rewrite152.0ms (2.3%)

Memory

-18.7MiB live, 174.7MiB allocated

Rules

9 148×	`lower-fma.f32`
9 146×	`lower-fma.f64`
5 880×	`lower-*.f32`
5 878×	`lower-*.f64`
4 372×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	17	42
1	90	42
2	648	42
0	8313	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 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
(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 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 (.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (.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))) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))))
(.f64 (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64))))
(*.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 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.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 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.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 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(fma.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) 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 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) 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))

eval20.0ms (0.3%)

Memory: 1.0MiB live, 37.5MiB allocated
Compiler: Compiled 2 522 to 227 computations (91% saved)

prune9.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB 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
✓	74.9%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	63.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	63.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	26.2%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 53 to 35 computations (34% saved)

regimes75.0ms (1.1%)

Memory

-19.1MiB live, 28.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

66.0ms	y
5.0ms	x
4.0ms	(+.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 9 to 9 computations (0% saved)

regimes33.0ms (0.5%)

Memory

-2.9MiB live, 74.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

14.0ms	y
11.0ms	x
7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.0%	3	`y`
99.8%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.1%)

Memory

25.7MiB live, 25.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
63.1%	1	`y`
63.1%	1	`x`
63.1%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes32.0ms (0.5%)

Memory

-22.4MiB live, 16.7MiB 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 y x)))

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

Calls

3 calls:

27.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
26.2%	1	`x`
26.2%	1	`y`
26.2%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.8778105642034334e-245	2.645018559734686e-230

Compiler

Compiled 10 to 10 computations (0% saved)

simplify35.0ms (0.5%)

Memory

-7.0MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`-commutative-binary64-.f64`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	69
1	30	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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 y x)))

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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 y x)))

soundness1.4s (21.2%)

Memory

7.5MiB live, 484.6MiB allocated

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
8 312×	`lower-fma.f64`
8 312×	`lower-fma.f32`
5 328×	`lower-fma.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
0	52	698
1	182	698
2	465	698
3	1205	698
4	2732	698
5	3560	698
6	3956	698
7	4242	698
8	4392	698
9	4480	698
0	8407	590
0	41	332
1	131	332
2	333	332
3	942	332
4	2133	332
5	3036	332
6	3587	332
7	4298	332
8	4513	332
9	4656	332
10	5354	332
0	8413	289

Stop Event

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

Compiler

Compiled 65 to 39 computations (40% saved)

preprocess160.0ms (2.4%)

Memory: 11.9MiB live, 88.9MiB allocated
Compiler: Compiled 110 to 64 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16.3%)

explain70.0ms (1.1%)

preprocess34.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize16.0ms (0.2%)

series6.0ms (0.1%)

simplify157.0ms (2.4%)

rewrite188.0ms (2.8%)

eval31.0ms (0.5%)

prune5.0ms (0.1%)

simplify9.0ms (0.1%)

localize31.0ms (0.5%)

series7.0ms (0.1%)

simplify265.0ms (4%)

rewrite2.2s (32.3%)

eval66.0ms (1%)

prune12.0ms (0.2%)

simplify6.0ms (0.1%)

localize27.0ms (0.4%)

series5.0ms (0.1%)

simplify545.0ms (8.2%)

rewrite152.0ms (2.3%)

eval20.0ms (0.3%)

prune9.0ms (0.1%)

regimes75.0ms (1.1%)

regimes33.0ms (0.5%)

regimes10.0ms (0.1%)

regimes32.0ms (0.5%)

bsearch0.0ms (0%)

simplify35.0ms (0.5%)

soundness1.4s (21.2%)

preprocess160.0ms (2.4%)

end0.0ms (0%)

Profiling