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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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 (13.6%)

Memory

33.1MiB live, 746.1MiB allocated

Samples

677.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-add: 243.0ms (55.5% of total)

ival-mult: 186.0ms (42.5% of total)

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

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

Bogosity

explain196.0ms (2.3%)

Memory

-38.1MiB live, 100.5MiB 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

140.0ms

512×

valid

Compiler

Compiled 47 to 19 computations (59.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-add: 125.0ms (96.8% of total)

ival-mult: 4.0ms (3.1% of total)

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

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

preprocess55.0ms (0.7%)

Memory

14.0MiB live, 51.7MiB 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 x (+.f64 y #s(literal 1 binary64)) y)

Symmetry

(sort x y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB 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 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
(*.f64 x y)
x
y

localize31.0ms (0.4%)

Memory

-7.8MiB live, 30.6MiB 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

26.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-add: 2.0ms (46.2% of total)

ival-mult: 2.0ms (46.2% of total)

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

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

series4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify249.0ms (3%)

Memory

3.8MiB live, 202.1MiB 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	948	332
4	2142	332
5	3039	332
6	3608	332
7	4320	332
8	4535	332
9	4679	332
10	5377	332
0	8581	289

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite2.2s (26.2%)

Memory

-1.5MiB live, 471.4MiB 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 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 x (.f64 x y))))
(fma.f64 x y x)
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 y x x)
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (-.f64 (.f64 x y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (fma.f64 x y x) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 x (fma.f64 x y x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x))))
(neg.f64 (neg.f64 (fma.f64 x y x)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (neg.f64 (-.f64 (.f64 x y) x)))
(/.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x y)) (.f64 x (-.f64 x (.f64 x (.f64 y y))))))
(/.f64 (.f64 x (-.f64 x (.f64 x (.f64 y y)))) (-.f64 x (.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) (.f64 (-.f64 (.f64 x y) x) (fma.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 y y) x))))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (*.f64 x (neg.f64 x)) x))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 y y) x)) (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (.f64 (-.f64 (.f64 x y) x) (.f64 x (fma.f64 x (.f64 y y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (.f64 (-.f64 (.f64 x y) x) (.f64 x x))) (.f64 (-.f64 (.f64 x y) x) (-.f64 (*.f64 x y) x)))
(/.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 y y) x)) (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 y y) x)) (-.f64 (*.f64 x y) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 y y) x)))) (-.f64 (.f64 x y) x)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 x y) x))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 x (.f64 y y))))) (neg.f64 (-.f64 x (.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x))) (.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x))) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)))) (fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x y) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (*.f64 x (neg.f64 x)) x)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x))) (fma.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 y y) x)))))
(/.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 y y) x)) (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x))) (.f64 x (fma.f64 x (.f64 y y) x)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (.f64 x y)) (.f64 x (-.f64 x (.f64 x (.f64 y y))))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 (fma.f64 x y x) (.f64 (-.f64 (.f64 x y) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x))))
(.f64 (fma.f64 x y x) (/.f64 (-.f64 (.f64 x y) x) (-.f64 (*.f64 x y) x)))
(.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x))))
(.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)) (.f64 (fma.f64 x y x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)) (/.f64 (fma.f64 x y x) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (*.f64 x x))))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)))
(.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x y) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x))) (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x)) (.f64 x (-.f64 (.f64 x (*.f64 y y)) x)))
(.f64 (.f64 x (-.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (.f64 x (-.f64 (.f64 x (*.f64 y y)) x))) (fma.f64 x y x))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 x (-.f64 x (.f64 x y))))))) (fma.f64 (.f64 x (-.f64 x (.f64 x y))) (-.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) x) (.f64 x x)) (.f64 x (-.f64 (.f64 x (.f64 y y)) (-.f64 x (.f64 x y)))))) (.f64 x (-.f64 (.f64 x (.f64 y y)) (-.f64 x (*.f64 x y)))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 x (.f64 x (.f64 y y)) (*.f64 x (fma.f64 x y x))))
(+.f64 x (fma.f64 x y y))
(+.f64 y (fma.f64 x y x))
(+.f64 (*.f64 x y) (+.f64 x y))
(+.f64 (fma.f64 x y x) y)
(+.f64 (+.f64 x y) (*.f64 x y))
(+.f64 (/.f64 (.f64 (fma.f64 x y x) (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (fma.f64 x y x) y))))
(+.f64 (fma.f64 x y y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x y x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x y x) (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y)) (/.f64 (.f64 y y) (-.f64 (fma.f64 x y x) y)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x)) (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)) y))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (fma.f64 x y x))) (/.f64 (.f64 (fma.f64 x y x) (fma.f64 x y x)) (-.f64 y (fma.f64 x y x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (+.f64 x y))) (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (.f64 x y) (+.f64 x y))))
(-.f64 (+.f64 y (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) x))) (/.f64 (.f64 x x) (-.f64 (.f64 x y) x)))
(fma.f64 x y (+.f64 x y))
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(pow.f64 (/.f64 (-.f64 (.f64 x y) (+.f64 x y)) (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (*.f64 x y) (+.f64 x y)))) #s(literal -1 binary64))
(.f64 (+.f64 y (fma.f64 x y x)) (.f64 (-.f64 (fma.f64 x y x) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y x) y))))
(*.f64 (+.f64 y (fma.f64 x y x)) (/.f64 (-.f64 (fma.f64 x y x) y) (-.f64 (fma.f64 x y x) y)))
(.f64 (fma.f64 y (.f64 y y) (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (*.f64 y y))))
(.f64 (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (.f64 y y)) (.f64 (+.f64 y (fma.f64 x y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (.f64 y y)))))
(.f64 (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (.f64 y y)) (/.f64 (+.f64 y (fma.f64 x y x)) (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (*.f64 y y))))
(.f64 (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y x) y)))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (*.f64 y y)))))
(.f64 (neg.f64 (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x y x) y))))
(.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) (.f64 x y)) (.f64 x (.f64 x (*.f64 y y))))))
(*.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 (fma.f64 x y x) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y x) y)) (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y)))
(.f64 (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 y (fma.f64 x y x))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x y x))))
(.f64 (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (+.f64 x y))))
(.f64 (/.f64 (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y)) (*.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y))) (+.f64 y (fma.f64 x y x)))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 y (fma.f64 x y x)) (-.f64 y (fma.f64 x y x))) (-.f64 y (fma.f64 x y x))) (.f64 (fma.f64 x y x) (.f64 (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x))) (.f64 (fma.f64 x y x) (fma.f64 x y x)))))) (fma.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x))) (.f64 (.f64 y (-.f64 y (fma.f64 x y x))) (-.f64 (.f64 y (-.f64 y (fma.f64 x y x))) (*.f64 (fma.f64 x y x) (fma.f64 x y x))))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x)))) (.f64 (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (.f64 y y)) (-.f64 (.f64 (fma.f64 x y x) (fma.f64 x y x)) (.f64 y (-.f64 y (fma.f64 x y x)))))) (-.f64 (.f64 (fma.f64 x y x) (fma.f64 x y x)) (.f64 y (-.f64 y (fma.f64 x y x)))))
(.f64 (/.f64 (.f64 (+.f64 y (fma.f64 x y x)) (-.f64 (fma.f64 x y x) y)) (-.f64 (.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (fma.f64 x y x))) (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 y (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x))))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)

eval31.0ms (0.4%)

Memory: -6.1MiB live, 76.8MiB allocated
Compiler: Compiled 6 709 to 539 computations (92% saved)

prune33.0ms (0.4%)

Memory

15.7MiB live, 93.2MiB 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 y #s(literal 1 binary64)) x y)
▶	63.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y y))
▶	62.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y x))

Compiler

Compiled 22 to 11 computations (50% saved)

simplify9.0ms (0.1%)

Memory

-25.9MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
cost-diff	0	(fma.f64 x y y)
cost-diff	0	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y y))
cost-diff	0	(fma.f64 x y x)
cost-diff	0	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y 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	46
0	17	46
1	30	46
2	43	46
3	49	46
4	59	46
5	65	46
6	69	46
0	69	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.3%)

Memory

12.0MiB live, 50.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
accuracy	0	(fma.f64 x y y)
accuracy	23.12642180796769	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y y))
accuracy	0	(fma.f64 x y x)
accuracy	23.81131600780931	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y x))

Samples

19.0ms

256×

valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

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

ival-add: 5.0ms (55.5% of total)

ival-mult: 3.0ms (33.3% 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

8.6MiB live, 8.6MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify349.0ms (4.2%)

Memory

-3.4MiB live, 548.1MiB 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	1204	698
4	2724	698
5	3528	698
6	3923	698
7	4203	698
8	4352	698
9	4440	698
0	8376	590

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 122

Calls

Call 1

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

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

rewrite258.0ms (3.1%)

Memory

11.9MiB live, 488.1MiB allocated

Rules

8 476×	`lower-fma.f32`
8 470×	`lower-fma.f64`
6 058×	`lower-*.f64`
6 058×	`lower-*.f32`
4 586×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	17	39
1	83	39
2	696	39
0	8510	39

Stop Event

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

Counts

6 → 307

Calls

Call 1

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

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

eval49.0ms (0.6%)

Memory: -26.6MiB live, 93.8MiB allocated
Compiler: Compiled 8 418 to 784 computations (90.7% saved)

prune57.0ms (0.7%)

Memory

-2.4MiB live, 117.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	426	3	429
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	426	6	432

Accuracy

100.0%

Counts

432 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
▶	73.4%	(fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y)
✓	63.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y y))
✓	62.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y x))
▶	63.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
▶	28.5%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ y 1) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) y) (*.f64 y x))
cost-diff	0	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	21	71
1	35	71
2	47	71
3	48	71
4	66	71
5	69	71
6	77	71
7	82	71
8	83	71
0	83	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.5%)

Memory

2.0MiB live, 76.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y)
accuracy	33.016199845120894	#s(approx (+ y 1) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) y)
accuracy	23.12642180796769	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
accuracy	0	(*.f64 y x)
accuracy	23.12642180796769	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))
accuracy	30.44489631467806	#s(approx (+ (* x y) y) (*.f64 y x))

Samples

23.0ms

256×

valid

Compiler

Compiled 50 to 15 computations (70% saved)

Precisions

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

ival-mult: 7.0ms (49.6% of total)

ival-add: 6.0ms (42.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify212.0ms (2.5%)

Memory

23.7MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 268×	`lower-fma.f64`
7 268×	`lower-fma.f32`
3 238×	`lower-*.f64`
3 238×	`lower-*.f32`
1 518×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	800
1	171	800
2	426	800
3	1163	800
4	3348	800
5	4670	800
6	5505	800
7	5939	800
8	6097	800
9	6231	800
10	7804	800
0	8119	692

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 156

Calls

Call 1

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

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

rewrite396.0ms (4.7%)

Memory

-39.5MiB live, 492.3MiB allocated

Rules

9 810×	`lower-fma.f32`
9 808×	`lower-fma.f64`
5 862×	`lower-*.f32`
5 858×	`lower-*.f64`
4 302×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	21	63
1	96	63
2	742	63
0	8387	57

Stop Event

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

Counts

8 → 182

Calls

Call 1

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

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

eval38.0ms (0.5%)

Memory: -1.6MiB live, 111.6MiB allocated
Compiler: Compiled 5 080 to 500 computations (90.2% saved)

prune60.0ms (0.7%)

Memory

-4.9MiB live, 133.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	337	7	344

Accuracy

100.0%

Counts

344 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
✓	73.4%	(fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y)
✓	63.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y y))
✓	62.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y x))
✓	63.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
▶	37.5%	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
✓	28.5%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

simplify6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

76×	`lower-fma.f64`
76×	`lower-fma.f32`
60×	`lower-*.f32`
58×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	11	29
1	20	29
2	29	29
3	33	29
4	40	29
5	46	29
6	56	29
7	68	29
8	72	29
0	72	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

-23.3MiB live, 54.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	23.12642180796769	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
accuracy	32.72875008229075	#s(approx (+ x 1) #s(literal 1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (43.3% of total)

ival-mult: 3.0ms (43.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.2MiB live, 5.3MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

Calls

15 calls:

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

simplify199.0ms (2.4%)

Memory

25.2MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 252×	`lower-fma.f64`
5 252×	`lower-fma.f32`
4 094×	`lower-*.f64`
4 094×	`lower-*.f32`
1 196×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	290
1	141	290
2	345	290
3	970	290
4	2908	290
5	4439	290
6	5403	290
7	6417	290
8	7625	290
0	8033	247

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 55

Calls

Call 1

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

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

rewrite267.0ms (3.2%)

Memory

-12.1MiB live, 341.0MiB allocated

Rules

5 948×	`lower-fma.f64`
5 948×	`lower-fma.f32`
4 360×	`lower-*.f32`
4 358×	`lower-*.f64`
2 912×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	11	27
1	55	27
2	431	27
3	6184	27
0	8104	26

Stop Event

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

Counts

3 → 4

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 13.6MiB live, 13.6MiB allocated
Compiler: Compiled 372 to 11 computations (97% saved)

prune8.0ms (0.1%)

Memory

-24.7MiB live, 13.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	59	7	66

Accuracy

100.0%

Counts

66 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
✓	73.4%	(fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y)
✓	63.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y y))
✓	62.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 x y x))
✓	63.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
✓	37.5%	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
✓	28.5%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))

Compiler

Compiled 97 to 42 computations (56.7% saved)

regimes10.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.0%	3	`y`
99.8%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes7.0ms (0.1%)

Memory

-30.1MiB live, 8.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.4%	2	`x`
98.0%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.4%	2	`y`
92.4%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
41.7%	2	`y`
63.1%	3	`x`
58.3%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB 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 (+ (* x y) y) (*.f64 y x)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
28.5%	1	`y`
28.5%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
28.5%	1	`x`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9450924518391162e-86	1.4627301043344032e-71
0.0ms	-1.5629488879087668e+54	-5.316395062148169e+52

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6443260887866246e-281	6.5710014099499106e-223

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.304775981472556e+301	6.6925725565773305e+302
0.0ms	-1.6443260887866246e-281	6.5710014099499106e-223

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch19.0ms (0.2%)

Memory

-18.8MiB live, 26.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.00040136409653820503	243256.13832503205
8.0ms	-6268482.7571949605	-3906190.3779963823

Samples

11.0ms

208×

valid

Compiler

Compiled 220 to 127 computations (42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (58% of total)

ival-mult: 1.0ms (29% of total)

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

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

simplify7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	230
1	52	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) (if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 5599361855444511/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y y))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 x y y)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) (if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))))
(if (<=.f64 x #s(literal -3950000 binary64)) #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (.f64 y x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) (if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 5599361855444511/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y y))))
(if (<=.f64 (+.f64 y (+.f64 x (.f64 y x))) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) (if (<=.f64 (+.f64 y (+.f64 x (.f64 y x))) #s(literal 5599361855444511/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (fma.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x y) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y y))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 x y y)))
(if (<=.f64 (+.f64 y (+.f64 x (.f64 y x))) #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 x y y)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) (if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))))
(if (<=.f64 (+.f64 y (+.f64 x (.f64 y x))) #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 x y x)) (if (<=.f64 (+.f64 y (+.f64 x (.f64 y x))) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 y #s(approx (+ x 1) #s(literal 1 binary64)))) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))))
(if (<=.f64 x #s(literal -3950000 binary64)) #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (.f64 y x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))))
(if (<=.f64 x #s(literal -3950000 binary64)) #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (.f64 y x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 y #s(approx (+ x 1) #s(literal 1 binary64)))) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* x y) y) (*.f64 y x)))

soundness2.3s (27.2%)

Memory

-6.6MiB live, 631.1MiB allocated

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
8 476×	`lower-fma.f32`
8 470×	`lower-fma.f64`
8 312×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	800
1	171	800
2	426	800
3	1163	800
4	3348	800
5	4670	800
6	5505	800
7	5939	800
8	6097	800
9	6231	800
10	7804	800
0	8119	692
0	12	39
0	17	39
1	83	39
2	696	39
0	8510	39
0	52	698
1	182	698
2	465	698
3	1204	698
4	2724	698
5	3528	698
6	3923	698
7	4203	698
8	4352	698
9	4440	698
0	8376	590
0	5	15
0	8	15
1	38	15
2	332	15
3	5289	15
0	8143	13
0	41	332
1	131	332
2	333	332
3	948	332
4	2142	332
5	3039	332
6	3608	332
7	4320	332
8	4535	332
9	4679	332
10	5377	332
0	8581	289

Stop Event

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

Compiler

Compiled 254 to 100 computations (60.6% saved)

preprocess64.0ms (0.8%)

Memory: -1.7MiB live, 74.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 286 to 80 computations (72% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (13.6%)

explain196.0ms (2.3%)

preprocess55.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize31.0ms (0.4%)

series4.0ms (0.1%)

simplify249.0ms (3%)

rewrite2.2s (26.2%)

eval31.0ms (0.4%)

prune33.0ms (0.4%)

simplify9.0ms (0.1%)

localize29.0ms (0.3%)

series5.0ms (0.1%)

simplify349.0ms (4.2%)

rewrite258.0ms (3.1%)

eval49.0ms (0.6%)

prune57.0ms (0.7%)

simplify7.0ms (0.1%)

localize46.0ms (0.5%)

series6.0ms (0.1%)

simplify212.0ms (2.5%)

rewrite396.0ms (4.7%)

eval38.0ms (0.5%)

prune60.0ms (0.7%)

simplify6.0ms (0.1%)

localize25.0ms (0.3%)

series2.0ms (0%)

simplify199.0ms (2.4%)

rewrite267.0ms (3.2%)

eval5.0ms (0.1%)

prune8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

simplify7.0ms (0.1%)

soundness2.3s (27.2%)

preprocess64.0ms (0.8%)

end0.0ms (0%)

Profiling