Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

30.1MiB live, 30.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample706.0ms (13.5%)

Memory

-7.6MiB live, 1 028.9MiB allocated

Samples

462.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-add: 88.0ms (37.4% of total)

ival-mult: 79.0ms (33.5% of total)

ival-div: 54.0ms (22.9% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain63.0ms (1.2%)

Memory

-15.8MiB live, 100.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
41	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	41	0
↳	`(*.f64 x y)`	overflow	41

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions

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

ival-add: 6.0ms (43.7% of total)

ival-mult: 4.0ms (29.1% of total)

ival-div: 3.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess53.0ms (1%)

Memory

20.6MiB live, 57.0MiB allocated

Algorithm

1×	egg-herbie

Rules

486×	`times-frac`
304×	`unsub-neg`
238×	`distribute-lft-in`
228×	`distribute-lft-neg-in`
228×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	443	35
4	1190	35
5	1667	35
6	1882	35
7	1938	35
8	1966	35
9	1970	35
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	18	16
3	19	16
0	19	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

-10.0MiB live, 37.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	9.665022227785213	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (39.6% of total)

ival-mult: 2.0ms (39.6% of total)

ival-add: 1.0ms (19.8% 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

11.2MiB live, 11.1MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

15 calls:

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

simplify178.0ms (3.4%)

Memory

6.0MiB live, 198.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
2 536×	`lower-*.f64`
2 536×	`lower-*.f32`
1 658×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

rewrite312.0ms (6%)

Memory

-8.3MiB live, 271.1MiB allocated

Rules

5 518×	`lower-/.f32`
5 516×	`lower-/.f64`
3 256×	`lower-*.f32`
3 254×	`lower-*.f64`
2 620×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Counts

3 → 336

Calls

Call 1

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

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

eval133.0ms (2.5%)

Memory: -16.9MiB live, 57.8MiB allocated
Compiler: Compiled 8 392 to 1 037 computations (87.6% saved)

prune91.0ms (1.7%)

Memory

1.7MiB live, 85.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	387	5	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	387	6	393

Accuracy

100.0%

Counts

393 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	84.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
▶	53.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	46.8%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
▶	47.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 97 to 56 computations (42.3% saved)

simplify85.0ms (1.6%)

Memory

10.2MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 x (/.f64 x y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 y (neg.f64 y) y)
cost-diff	0	(*.f64 x (fma.f64 y (neg.f64 y) y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)

Rules

800×	`lower-fma.f32`
798×	`lower-fma.f64`
536×	`lower-*.f32`
528×	`lower-*.f64`
220×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	31	109
1	57	109
2	100	109
3	201	109
4	326	109
5	578	109
6	882	109
7	1194	109
8	1437	109
9	1542	109
10	1549	109
11	1551	109
12	1554	109
13	1555	109
0	1555	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.8%)

Memory

17.6MiB live, 55.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
accuracy	9.714182237553656	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
accuracy	0	(/.f64 x y)
accuracy	0.0078125	(-.f64 x (/.f64 x y))
accuracy	29.723602956210357	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(fma.f64 y (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	3.5679849394694347	(*.f64 x (fma.f64 y (neg.f64 y) y))
accuracy	34.06059730675785	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
accuracy	0	(*.f64 x y)
accuracy	33.50347615652109	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy	0.01171875	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)

Samples

33.0ms

256×

valid

Compiler

Compiled 97 to 18 computations (81.4% saved)

Precisions

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

ival-mult: 7.0ms (36.9% of total)

ival-div: 6.0ms (31.6% of total)

ival-add: 3.0ms (15.8% of total)

ival-sub: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (1%)

Memory

-23.7MiB live, 14.4MiB allocated

Counts

14 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(/ x y)
1.0ms	x	@	-inf	(- x (/ x y))
1.0ms	x	@	0	(* x (+ (* y (neg y)) y))
0.0ms	x	@	inf	(- x (/ x y))
0.0ms	y	@	0	(* x (+ (* y (neg y)) y))

simplify348.0ms (6.7%)

Memory

29.5MiB live, 344.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 238×	`lower-fma.f64`
14 238×	`lower-fma.f32`
3 268×	`lower-*.f64`
3 268×	`lower-*.f32`
1 808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1767
1	283	1651
2	608	1603
3	2150	1569
4	6838	1569
0	8096	1555

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 260

Calls

Call 1

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

rewrite902.0ms (17.3%)

Memory

1.3MiB live, 366.8MiB allocated

Rules

6 392×	`lower-fma.f32`
6 390×	`lower-fma.f64`
4 496×	`lower-*.f32`
4 488×	`lower-*.f64`
3 934×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
0	31	91
1	112	91
2	704	91
0	8823	91

Stop Event

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

Counts

14 → 733

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y y)) (.f64 (/.f64 (.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) y) (.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y y) (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))) (.f64 (.f64 y y) (/.f64 (.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (.f64 y (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(fma.f64 y (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 (.f64 y y) (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y y) (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y y)))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) y (.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 y x) (+.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 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y x)))
(/.f64 (*.f64 y (neg.f64 x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(/.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (.f64 y x) (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 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 y (.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 x (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(/.f64 (.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(/.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 y x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) x))
(.f64 (neg.f64 y) (.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y x)))
(.f64 (.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 y (neg.f64 x)))
(.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 y x)))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y (.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) x))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 x (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (.f64 y y) y))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 y x) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
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(/.f64 (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))
(.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64))) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (neg.f64 y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64))) (fma.f64 y (.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))

eval176.0ms (3.4%)

Memory: 8.3MiB live, 278.8MiB allocated
Compiler: Compiled 19 805 to 1 925 computations (90.3% saved)

prune195.0ms (3.7%)

Memory

-24.6MiB live, 335.3MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 122	2	1 124
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 123	7	1 130

Accuracy

100.0%

Counts

1 130 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	84.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
▶	53.9%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	53.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	46.8%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 y (neg.f64 x) x)))
✓	47.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify49.0ms (0.9%)

Memory

22.1MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

688×	`lower-fma.f32`
686×	`lower-fma.f64`
488×	`lower-*.f32`
484×	`lower-*.f64`
222×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	18	49
1	37	49
2	59	49
3	108	49
4	151	49
5	257	49
6	360	49
7	611	49
8	987	49
9	1207	49
10	1407	49
11	1443	49
12	1471	49
13	1487	49
0	1487	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.7%)

Memory

3.3MiB live, 80.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
accuracy	29.83434276207551	#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
accuracy	0	(fma.f64 y (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	0.05859375	(*.f64 y (fma.f64 y (neg.f64 x) x))
accuracy	34.06059730675785	#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 y (neg.f64 x) x)))

Samples

25.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

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

ival-mult: 8.0ms (47.7% of total)

ival-div: 5.0ms (29.8% of total)

ival-add: 2.0ms (11.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-55.5MiB live, 12.6MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

simplify241.0ms (4.6%)

Memory

35.1MiB live, 300.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 492×	`lower-fma.f64`
12 492×	`lower-fma.f32`
2 980×	`lower-*.f64`
2 980×	`lower-*.f32`
2 276×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	834
1	257	772
2	567	748
3	1681	730
4	4783	730
5	7176	730
0	8108	724

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

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

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

rewrite326.0ms (6.3%)

Memory

-5.5MiB live, 407.3MiB allocated

Rules

5 056×	`lower-fma.f32`
5 054×	`lower-fma.f64`
4 658×	`lower-*.f32`
4 654×	`lower-*.f64`
3 150×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	18	45
1	74	45
2	445	45
3	4363	41
0	11269	41

Stop Event

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

Counts

6 → 264

Calls

Call 1

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

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

eval47.0ms (0.9%)

Memory: -19.3MiB live, 97.7MiB allocated
Compiler: Compiled 7 684 to 788 computations (89.7% saved)

prune54.0ms (1%)

Memory

3.9MiB live, 116.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	378	7	385

Accuracy

100.0%

Counts

385 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	84.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
✓	53.9%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	53.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	46.8%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 y (neg.f64 x) x)))
✓	47.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 114 to 54 computations (52.6% saved)

regimes10.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory

-29.1MiB live, 15.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.9%	4	`x`
98.8%	3	`y`
82.0%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.7%	1	`x`
47.7%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
47.7%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch24.0ms (0.5%)

Memory

0.6MiB live, 39.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.054686822655056734	34288.63648866202
11.0ms	-63.12347101736622	-4.561813881668958e-6

Samples

11.0ms

288×

valid

Compiler

Compiled 372 to 209 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.1% of total)

ival-mult: 2.0ms (35.1% of total)

ival-add: 1.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.054686822655056734	34288.63648866202
1.0ms	-63.12347101736622	-4.561813881668958e-6

Samples

2.0ms

64×

valid

Compiler

Compiled 336 to 209 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (78.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.054686822655056734	34288.63648866202
1.0ms	-63.12347101736622	-4.561813881668958e-6

Compiler

Compiled 336 to 209 computations (37.8% saved)

bsearch2.0ms (0%)

Memory

-36.5MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.054686822655056734	34288.63648866202
1.0ms	-63.12347101736622	-4.561813881668958e-6

Compiler

Compiled 264 to 173 computations (34.5% saved)

simplify8.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	186
1	53	186
2	62	186
3	66	186
4	67	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 y (fma.f64 y (neg.f64 x) x))) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y (fma.f64 y (neg.f64 x) x))) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x (fma.f64 y (neg.f64 y) y))) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x y)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Outputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 y (fma.f64 y (neg.f64 x) x))) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y (fma.f64 y (neg.f64 x) x))) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y (fma.f64 y (neg.f64 x) x))) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x (fma.f64 y (neg.f64 y) y))) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x (fma.f64 y (neg.f64 y) y))) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x y)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y x)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness875.0ms (16.8%)

Memory

3.1MiB live, 439.0MiB allocated

Rules

14 238×	`lower-fma.f64`
14 238×	`lower-fma.f32`
9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
6 392×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1767
1	283	1651
2	608	1603
3	2150	1569
4	6838	1569
0	8096	1555
0	20	93
0	31	91
1	112	91
2	704	91
0	8823	91
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Compiler

Compiled 252 to 108 computations (57.1% saved)

preprocess67.0ms (1.3%)

Memory: -9.4MiB live, 108.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 350 to 128 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample706.0ms (13.5%)

explain63.0ms (1.2%)

preprocess53.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

simplify178.0ms (3.4%)

rewrite312.0ms (6%)

eval133.0ms (2.5%)

prune91.0ms (1.7%)

simplify85.0ms (1.6%)

localize92.0ms (1.8%)

series52.0ms (1%)

simplify348.0ms (6.7%)

rewrite902.0ms (17.3%)

eval176.0ms (3.4%)

prune195.0ms (3.7%)

simplify49.0ms (0.9%)

localize36.0ms (0.7%)

series19.0ms (0.4%)

simplify241.0ms (4.6%)

rewrite326.0ms (6.3%)

eval47.0ms (0.9%)

prune54.0ms (1%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.5%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

simplify8.0ms (0.2%)

soundness875.0ms (16.8%)

preprocess67.0ms (1.3%)

end0.0ms (0%)

Profiling