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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.3%)

Memory

-23.9MiB live, 19.7MiB 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)

sample816.0ms (17.2%)

Memory

19.5MiB live, 725.5MiB allocated

Samples

420.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-mult: 106.0ms (49.4% of total)

ival-div: 49.0ms (22.8% of total)

ival-add: 47.0ms (21.9% of total)

ival-true: 5.0ms (2.3% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain77.0ms (1.6%)

Memory

-14.0MiB live, 70.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(/.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	29	0
↳	`(*.f64 x y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	29	0
-	0	227

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	0
-	0	0	227

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 15.0ms (65.9% of total)

ival-mult: 4.0ms (17.6% of total)

ival-add: 3.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess53.0ms (1.1%)

Memory

9.8MiB live, 47.5MiB 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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)

localize25.0ms (0.5%)

Memory

-5.6MiB live, 31.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	6.755601702975739	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

12.0ms

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 (39.5% of total)

ival-mult: 2.0ms (39.5% 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

7.0MiB live, 7.0MiB 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	x	@	inf	(/ (* x y) (+ y 1))
1.0ms	y	@	inf	(+ y 1)
1.0ms	y	@	inf	(/ (* x y) (+ y 1))
0.0ms	x	@	inf	(* x y)

simplify250.0ms (5.3%)

Memory

-6.7MiB live, 150.6MiB 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))

rewrite322.0ms (6.8%)

Memory

-19.4MiB live, 398.4MiB 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)))

eval44.0ms (0.9%)

Memory: 10.2MiB live, 123.9MiB allocated
Compiler: Compiled 8 392 to 1 037 computations (87.6% saved)

prune112.0ms (2.4%)

Memory

26.8MiB live, 142.4MiB 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
✓	89.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	90.7%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
▶	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	46.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
▶	54.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 93 to 54 computations (41.9% saved)

simplify96.0ms (2%)

Memory

-52.1MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 y #s(literal 1 binary64)) x)
cost-diff	384	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
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

928×	`lower-fma.f32`
926×	`lower-fma.f64`
616×	`lower-*.f32`
610×	`lower-*.f64`
560×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	106
0	31	106
1	52	106
2	80	106
3	149	106
4	221	106
5	383	106
6	697	106
7	1072	106
8	1613	106
9	2289	106
10	2383	106
11	2397	106
12	2400	106
13	2401	106
14	2401	106
0	2401	106

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

localize54.0ms (1.1%)

Memory

42.8MiB live, 119.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (+.f64 y #s(literal 1 binary64)) x)
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	5.964579575730398	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
accuracy	0	(/.f64 x y)
accuracy	0.015625	(-.f64 x (/.f64 x y))
accuracy	34.15708869366943	#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	2.865227348054151	(*.f64 x (fma.f64 y (neg.f64 y) y))
accuracy	29.645120322572843	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
accuracy	0	(*.f64 x y)
accuracy	29.321891478515575	#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	0.01953125	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)

Samples

33.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (40.2% of total)

ival-mult: 6.0ms (30.2% of total)

ival-add: 4.0ms (20.1% of total)

ival-sub: 1.0ms (5% of total)

ival-neg: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

-7.2MiB live, 37.4MiB allocated

Counts

14 → 288

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

Calls

72 calls:

Time	Variable		Point	Expression
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))
0.0ms	x	@	0	(- x (/ x y))

simplify313.0ms (6.6%)

Memory

-22.1MiB live, 329.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 052×	`lower-fma.f64`
14 052×	`lower-fma.f32`
3 318×	`lower-*.f64`
3 318×	`lower-*.f32`
1 728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1815
1	267	1717
2	544	1669
3	1978	1591
4	6339	1591
0	8167	1579

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 272

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

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

rewrite305.0ms (6.4%)

Memory

3.7MiB live, 446.1MiB allocated

Rules

6 366×	`lower-fma.f32`
6 364×	`lower-fma.f64`
4 252×	`lower-*.f32`
4 246×	`lower-*.f64`
3 574×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	31	91
1	114	91
2	748	91
3	7542	91
0	8186	91

Stop Event

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

Counts

14 → 743

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

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

eval172.0ms (3.6%)

Memory: 23.9MiB live, 278.5MiB allocated
Compiler: Compiled 17 891 to 1 845 computations (89.7% saved)

prune152.0ms (3.2%)

Memory

8.8MiB live, 340.5MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 099	2	1 101
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 099	8	1 107

Accuracy

100.0%

Counts

1 107 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	90.7%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	47.3%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	46.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
✓	53.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
✓	54.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 67 to 40 computations (40.3% saved)

simplify62.0ms (1.3%)

Memory

-11.1MiB live, 33.0MiB 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	(*.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))

Rules

688×	`lower-fma.f64`
688×	`lower-fma.f32`
488×	`lower-*.f32`
482×	`lower-*.f64`
322×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	17	49
1	28	49
2	48	49
3	91	49
4	170	49
5	280	49
6	415	49
7	651	49
8	837	49
9	1004	49
10	1272	49
11	1447	49
12	1556	49
13	1560	49
14	1566	49
15	1568	49
0	1568	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize51.0ms (1.1%)

Memory

19.6MiB live, 55.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
accuracy	34.09789166573934	#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.05859375	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
accuracy	29.645120322572843	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

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

ival-mult: 8.0ms (57.6% of total)

ival-div: 3.0ms (21.6% of total)

ival-sub: 1.0ms (7.2% of total)

ival-add: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-23.3MiB live, 12.6MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y 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 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y 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 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y 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 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y 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 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (patch (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x 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
4.0ms	x	@	0	(* (- 1 y) (* y x))
0.0ms	x	@	inf	(* (- 1 y) (* y x))
0.0ms	y	@	-inf	(* (- 1 y) (* y x))
0.0ms	y	@	inf	(* (- 1 y) (* y x))
0.0ms	y	@	0	(* (- 1 y) (* y x))

simplify259.0ms (5.4%)

Memory

-3.5MiB live, 360.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 132×	`lower-fma.f64`
13 132×	`lower-fma.f32`
2 696×	`lower-*.f64`
2 696×	`lower-*.f32`
1 630×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	777
1	234	738
2	513	714
3	1554	696
4	4661	696
5	7048	696
0	8239	690

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

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

rewrite344.0ms (7.2%)

Memory

37.5MiB live, 505.3MiB allocated

Rules

6 772×	`lower-fma.f64`
6 772×	`lower-fma.f32`
6 360×	`lower-*.f32`
6 354×	`lower-*.f64`
3 914×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
0	17	44
1	62	44
2	356	44
3	3663	44
0	12200	42

Stop Event

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

Counts

6 → 303

Calls

Call 1

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

eval83.0ms (1.8%)

Memory: -33.2MiB live, 108.6MiB allocated
Compiler: Compiled 8 202 to 860 computations (89.5% saved)

prune107.0ms (2.2%)

Memory

-1.6MiB live, 114.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	418	0	418
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	418	8	426

Accuracy

100.0%

Counts

426 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	90.7%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	47.3%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	46.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
✓	53.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
✓	54.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 120 to 59 computations (50.8% saved)

regimes10.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB 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 (-.f64 #s(literal 1 binary64) y) (.f64 y 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 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))

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

Calls

3 calls:

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

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)

regimes9.0ms (0.2%)

Memory

-21.8MiB live, 16.6MiB 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 (-.f64 #s(literal 1 binary64) y) (.f64 y 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 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))

Calls

3 calls:

3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
64.3%	4	`x`
98.7%	3	`y`
79.6%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))

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
97.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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:

1.0ms

Results

Accuracy	Segments	Branch
97.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB 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	x
1.0ms	y
1.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
54.2%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch27.0ms (0.6%)

Memory

-38.5MiB live, 43.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.234693118105145e-5	22.908274438756337
12.0ms	-26882.045896300555	-1.4508004071340047e-5

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 (34.9% of total)

ival-mult: 2.0ms (34.9% of total)

ival-add: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.234693118105145e-5	22.908274438756337
1.0ms	-26882.045896300555	-1.4508004071340047e-5

Samples

4.0ms

112×

valid

Compiler

Compiled 336 to 209 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (47.9% of total)

ival-mult: 1.0ms (47.9% 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

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.234693118105145e-5	22.908274438756337
1.0ms	-26882.045896300555	-1.4508004071340047e-5

Compiler

Compiled 264 to 173 computations (34.5% saved)

simplify10.0ms (0.2%)

Memory

-20.9MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-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	32	145
1	44	145
2	52	145
3	57	145
4	60	145
5	61	145

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 x (fma.f64 y (neg.f64 y) y))) #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 3422735716801577/4503599627370496 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 x (fma.f64 y (neg.f64 y) y))) #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 3422735716801577/4503599627370496 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 3422735716801577/4503599627370496 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))

soundness752.0ms (15.8%)

Memory

18.2MiB live, 367.5MiB allocated

Rules

14 052×	`lower-fma.f64`
14 052×	`lower-fma.f32`
9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
5 518×	`lower-/.f32`

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
0	90	1815
1	267	1717
2	544	1669
3	1978	1591
4	6339	1591
0	8167	1579
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 178 to 76 computations (57.3% saved)

preprocess172.0ms (3.6%)

Memory: -10.6MiB live, 112.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 302 to 118 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.3%)

sample816.0ms (17.2%)

explain77.0ms (1.6%)

preprocess53.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.5%)

series6.0ms (0.1%)

simplify250.0ms (5.3%)

rewrite322.0ms (6.8%)

eval44.0ms (0.9%)

prune112.0ms (2.4%)

simplify96.0ms (2%)

localize54.0ms (1.1%)

series21.0ms (0.4%)

simplify313.0ms (6.6%)

rewrite305.0ms (6.4%)

eval172.0ms (3.6%)

prune152.0ms (3.2%)

simplify62.0ms (1.3%)

localize51.0ms (1.1%)

series9.0ms (0.2%)

simplify259.0ms (5.4%)

rewrite344.0ms (7.2%)

eval83.0ms (1.8%)

prune107.0ms (2.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch27.0ms (0.6%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

simplify10.0ms (0.2%)

soundness752.0ms (15.8%)

preprocess172.0ms (3.6%)

end0.0ms (0%)

Profiling