Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB 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 11 to 9 computations (18.2% saved)

sample942.0ms (14.9%)

Memory

1.2MiB live, 1 060.7MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-mult: 201.0ms (60.9% of total)

ival-sub: 63.0ms (19.1% of total)

ival-div: 52.0ms (15.8% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain205.0ms (3.3%)

Memory

-6.4MiB live, 75.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
61	-	-	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(-.f64 x y)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	31	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	31
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	30	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	30

Confusion

	Predicted +	Predicted -
+	61	0
-	0	195

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	0
-	0	0	195

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 82 to 38 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45.5% of total)

ival-sub: 3.0ms (22.8% of total)

ival-div: 3.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess169.0ms (2.7%)

Memory

31.8MiB live, 104.7MiB allocated

Algorithm

1×	egg-herbie

Rules

962×	`times-frac`
882×	`associate-r`
840×	`times-frac`
788×	`distribute-lft-in`
730×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	45
2	212	45
3	775	45
4	2699	45
5	3378	45
6	3564	45
7	3578	45
8	3593	45
9	3598	45
10	3598	45
11	3802	45
12	3898	45
13	3898	45
14	4002	45
15	4621	45
0	7	9
0	11	9
1	19	9
2	40	9
3	64	9
4	84	9
5	148	9
6	310	9
7	682	9
8	1532	9
9	2375	9
10	2393	9
11	2407	9
12	2419	9
13	2419	9
0	2419	9

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Outputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify69.0ms (1.1%)

Memory

-23.0MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Rules

840×	`times-frac`
672×	`lower-fma.f64`
672×	`lower-fma.f32`
640×	`lower-*.f32`
636×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	40	23
3	64	23
4	84	23
5	148	23
6	310	23
7	682	23
8	1532	23
9	2375	23
10	2393	23
11	2407	23
12	2419	23
13	2419	23
0	2419	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y
(-.f64 x y)

Outputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 y (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y
(-.f64 x y)

localize18.0ms (0.3%)

Memory

23.4MiB live, 23.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	14.36951635158181	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (47.5% of total)

ival-div: 2.0ms (31.6% of total)

ival-sub: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-16.8MiB live, 21.3MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (* 2 y) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))

simplify162.0ms (2.6%)

Memory

-9.5MiB live, 272.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 398×	`lower-fma.f64`
14 398×	`lower-fma.f32`
5 052×	`lower-*.f64`
5 052×	`lower-*.f32`
1 978×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1014	523
3	3096	517
4	6425	517
0	8149	486

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))

Outputs
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) x))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite152.0ms (2.4%)

Memory

31.0MiB live, 224.2MiB allocated

Rules

5 632×	`lower-/.f32`
5 630×	`lower-/.f64`
3 830×	`lower-*.f32`
3 826×	`lower-*.f64`
2 056×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20

Stop Event

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

Counts

4 → 405

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(-.f64 x y)

Outputs
(.f64 (pow.f64 (/.f64 (+.f64 y x) (.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (.f64 y #s(literal 2 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1 binary64) (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (+.f64 y x))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (+.f64 y x))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
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(-.f64 (/.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval84.0ms (1.3%)

Memory: -22.0MiB live, 93.8MiB allocated
Compiler: Compiled 11 154 to 1 335 computations (88% saved)

prune61.0ms (1%)

Memory

-1.7MiB live, 110.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	479	7	486
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	7	487

Accuracy

100.0%

Counts

487 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
	77.3%	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
	54.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
▶	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	47.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify256.0ms (4.1%)

Memory

-2.0MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) x x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	0	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Rules

2 256×	`lower-fma.f32`
2 252×	`lower-fma.f64`
1 648×	`lower-*.f32`
1 636×	`lower-*.f64`
790×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	38	135
1	63	135
2	104	135
3	162	135
4	213	135
5	432	135
6	721	135
7	1604	135
8	2826	135
9	3535	135
10	3808	135
11	3901	135
12	3923	135
13	3925	135
14	4117	135
15	4189	135
16	4189	135
17	4189	135
18	4189	135
19	4261	135
20	4752	135
0	4752	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
#s(literal -2 binary64)

Outputs
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x)))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
#s(literal -2 binary64)

localize74.0ms (1.2%)

Memory

-21.8MiB live, 138.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.05078125	(fma.f64 (/.f64 x y) x x)
accuracy	29.636449274440565	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.07421875	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.0859375	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	33.95607728653023	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	33.70699391909434	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	29.496794492061998	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(/.f64 y (-.f64 x y))
accuracy	5.643969972470226	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Samples

55.0ms

256×

valid

Compiler

Compiled 115 to 23 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 31.0ms (74.1% of total)

ival-div: 7.0ms (16.7% of total)

ival-add: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

6.4MiB live, 44.0MiB allocated

Counts

16 → 336

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ y (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	x	@	inf	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	x	@	-inf	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	y	@	-inf	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	x	@	0	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))

simplify156.0ms (2.5%)

Memory

44.2MiB live, 227.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 314×	`lower-fma.f64`
11 314×	`lower-fma.f32`
4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
3 230×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	3056
1	709	2874
2	1989	2737
3	5938	2715
0	8235	2492

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(/ y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 (/ (pow x 2) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 (/ y x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(/.f64 (fma.f64 (/.f64 y x) y y) x)
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(fma.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (fma.f64 (/.f64 y x) y y) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* -2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal -2 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* 2 (/ (pow y 2) x))
(.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (neg.f64 y)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (neg.f64 y)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (neg.f64 y)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -2 x)
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(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) #s(literal 2 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal -2 binary64)))) x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) #s(literal 2 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal -2 binary64)))) x))
(* -2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite331.0ms (5.2%)

Memory

-32.9MiB live, 189.2MiB allocated

Rules

5 306×	`lower-*.f32`
5 294×	`lower-*.f64`
5 264×	`lower-fma.f32`
5 260×	`lower-fma.f64`
4 316×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	122	122
2	718	122
0	8452	122

Stop Event

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

Counts

16 → 646

Calls

Call 1

Inputs
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(/.f64 y (-.f64 x y))
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) (.f64 #s(literal 2 binary64) y))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 y x)) (neg.f64 y))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (fma.f64 (neg.f64 x) x (.f64 y y))) (neg.f64 (+.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) y) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (/.f64 y (-.f64 x y)) x))) (+.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) x) y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 #s(literal 2 binary64) y))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 x (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 y (+.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 y x)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 x y) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x)) (+.f64 x y))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 (+.f64 x y) (.f64 (*.f64 #s(literal 2 binary64) x) y)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 x (+.f64 x y))))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (*.f64 #s(literal 2 binary64) x) y)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 (/.f64 y (+.f64 x y)) (-.f64 x y)) (.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (/.f64 y (+.f64 x y)) (-.f64 x y)) (/.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -2 binary64) x) y))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) y))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 y x))))
(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)))
(.f64 (.f64 x y) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(.f64 (neg.f64 y) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 y x)))
(.f64 (neg.f64 y) (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (neg.f64 y) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) x) y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(.f64 (neg.f64 x) (.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(.f64 (.f64 (*.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 y (-.f64 x y)) x))
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(.f64 y (.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 y (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x))
(pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) x) y) #s(literal -1 binary64)) (-.f64 x y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (/.f64 y (-.f64 x y)) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (/.f64 y (-.f64 x y)) x)) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(/.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))))
(/.f64 (.f64 (.f64 (*.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 y x) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -2 binary64) x) y)) (-.f64 y x))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x))))))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (+.f64 x y))) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (fma.f64 x x (.f64 y (+.f64 x y)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (/.f64 y (-.f64 x y)) x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 y x) (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) y) (-.f64 y x))
(/.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (-.f64 y x) y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 y x)))))
(neg.f64 (.f64 (/.f64 y (-.f64 y x)) (.f64 #s(literal 2 binary64) x)))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 y x))))
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(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y))) (.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))) (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (fma.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))) (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (.f64 x (/.f64 x (*.f64 x (/.f64 (-.f64 x y) y))))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)))) (neg.f64 (-.f64 x (*.f64 (/.f64 x y) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x))))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x x)) (*.f64 x (/.f64 (-.f64 x y) y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (*.f64 x (/.f64 (-.f64 x y) y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 x y) x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 x y) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 x (/.f64 (-.f64 x y) y))) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) (.f64 x x))) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) (*.f64 x (/.f64 (-.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x x))))
(/.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x))) (-.f64 x (*.f64 (/.f64 x y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) (+.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 x y) x)))) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 x y) x)))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x)))) (fma.f64 (neg.f64 x) (/.f64 x y) x))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x))) (.f64 x (/.f64 (-.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (/.f64 x y) x)) (.f64 x (-.f64 x (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x)))) (.f64 x (/.f64 (-.f64 x y) y))))
(neg.f64 (/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x))) (fma.f64 (neg.f64 x) (/.f64 x y) x)))
(neg.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x)))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x)))) (fma.f64 (/.f64 x y) x x) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x) (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x y) x))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (/.f64 x y) (.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (.f64 x (/.f64 x (*.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 (-.f64 x y) y)) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) x) x)
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x)
(fma.f64 (.f64 (/.f64 x y) x) (/.f64 (.f64 (/.f64 x y) x) (.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (.f64 x (/.f64 x (*.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (/.f64 x y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (.f64 x (/.f64 x (*.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 (/.f64 x y) x x)
(fma.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x) (.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x))
(fma.f64 x (/.f64 x y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 x y) x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x (/.f64 (-.f64 x y) y)) y)) (neg.f64 (.f64 x (/.f64 x (.f64 x (/.f64 (-.f64 x y) y))))))
(+.f64 (*.f64 (/.f64 x y) x) x)
(+.f64 x (*.f64 (/.f64 x y) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval162.0ms (2.6%)

Memory: 20.2MiB live, 205.7MiB allocated
Compiler: Compiled 18 438 to 2 373 computations (87.1% saved)

prune143.0ms (2.3%)

Memory

-15.0MiB live, 181.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	973	3	976
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	974	9	983

Accuracy

100.0%

Counts

983 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	77.3%	(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
▶	38.5%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
▶	54.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	47.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 75 to 60 computations (20% saved)

simplify109.0ms (1.7%)

Memory

24.4MiB live, 107.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 y x))
cost-diff	0	(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (/ y (- x y)) (/.f64 y x))
cost-diff	0	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))

Rules

5 154×	`lower-fma.f32`
5 148×	`lower-fma.f64`
2 586×	`lower-*.f32`
2 574×	`lower-*.f64`
1 842×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	151
0	41	151
1	84	151
2	186	151
3	326	151
4	519	151
5	1206	151
6	2119	151
7	5499	151
8	7454	151
0	8028	151

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)
(/.f64 x y)
x
y
(fma.f64 (/.f64 x y) x x)
#s(literal -2 binary64)
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
#s(approx (/ y (- x y)) (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
(/.f64 #s(literal -2 binary64) (-.f64 y x))
#s(literal -2 binary64)
(-.f64 y x)
y
x
(*.f64 x y)

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(*.f64 (fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)
(fma.f64 (fma.f64 (/.f64 x y) x x) (/.f64 x y) x)
(/.f64 x y)
x
y
(fma.f64 (/.f64 x y) x x)
#s(literal -2 binary64)
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
#s(approx (/ y (- x y)) (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
(.f64 (/.f64 x (-.f64 x y)) (.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 y x))
#s(literal -2 binary64)
(-.f64 y x)
y
x
(*.f64 x y)
(*.f64 y x)

localize87.0ms (1.4%)

Memory

-19.9MiB live, 140.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 x y)
accuracy	0.015625	(/.f64 #s(literal -2 binary64) (-.f64 y x))
accuracy	14.49842260158181	(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	5.643969972470226	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
accuracy	33.77143019657666	#s(approx (/ y (- x y)) (/.f64 y x))
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
accuracy	0.04296875	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)
accuracy	0.05078125	(fma.f64 (/.f64 x y) x x)
accuracy	29.203978987147696	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
accuracy	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.06640625	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	29.636449274440565	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))

Samples

72.0ms

256×

valid

Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 19.0ms (36.1% of total)

ival-mult: 19.0ms (36.1% of total)

ival-sub: 11.0ms (20.9% of total)

ival-add: 3.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

26.1MiB live, 63.2MiB allocated

Counts

16 → 372

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())

Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -2 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -2 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -2 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<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 (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow x 3) (pow y 2))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* -2 (pow x 3))) (pow y 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* -2 (pow x 2))))) (pow y 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* -2 (pow x 2))))) (pow y 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 3) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) y) (pow x 3)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ y (pow x 2)))) (taylor 0 y) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<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 (/ (pow x 2) y) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<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 (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* 2 (/ 1 (pow y 2))) (+ (/ 2 (* x y)) (/ 2 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* 2 (/ 1 (pow y 2))) (+ (/ 2 (* x y)) (/ 2 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 3) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (patch (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ y (- x y)) (/.f64 y x)) (patch #s(approx (/ y (- x y)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -2 (/ y x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<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 (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (- y x) (* x y) (+ (* (/ x y) x) x))
4.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (- y x) (* x y) (+ (* (/ x y) x) x))
3.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (- y x) (* x y) (+ (* (/ x y) x) x))
2.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (- y x) (* x y) (+ (* (/ x y) x) x))
2.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) (+ (* (/ x y) x) x)) x) -2) (+ (* (/ x y) (+ (* (/ x y) x) x)) x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (- y x) (* x y) (+ (* (/ x y) x) x))

simplify229.0ms (3.6%)

Memory

-4.6MiB live, 267.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 950×	`lower-fma.f64`
11 950×	`lower-fma.f32`
4 218×	`lower-*.f64`
4 218×	`lower-*.f32`
3 032×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	3518
1	1133	3369
2	3340	3170
0	8926	2923

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 363

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
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Outputs
(* 2 y)
(*.f64 y #s(literal 2 binary64))
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(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
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(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) #s(literal 2 binary64)) y)
(* -2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal -2 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (+.f64 x y)) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (+.f64 x y)) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
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(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)) #s(literal 2 binary64)) y)
(* -2 (/ (pow x 3) (pow y 2)))
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(/ (+ (* -2 (* (pow x 2) y)) (* -2 (pow x 3))) (pow y 2))
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(/ (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 2))
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-1
#s(literal -1 binary64)
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y
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(/ x y)
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(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))
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(* (pow x 3) (+ (/ 1 (* x y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
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(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
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(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/ 2 x)
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(/ (+ 2 (* 2 (/ y x))) x)
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(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
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(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
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(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 y x) y y)) x)))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) (.f64 (.f64 y y) #s(literal 2 binary64))) x))
(* -2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(* -2 (/ x y))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
(/ x y)
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(* 2 y)
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(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 y x) y y)) x)))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) (.f64 (.f64 y y) #s(literal 2 binary64))) x))
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(.f64 (.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x) #s(literal -2 binary64))
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(* -1 (* (pow x 3) (+ (* 2 (/ 1 (pow y 2))) (+ (/ 2 (* x y)) (/ 2 (pow x 2))))))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 #s(literal 2 binary64) y)))
(/ (pow x 3) (pow y 2))
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y)
(* (pow x 3) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 x #s(literal 3 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 y x) y y)) x)))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x) (.f64 (.f64 y y) #s(literal 2 binary64))) x))
(/ y x)
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(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
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(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 (/.f64 y x) y y)) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x)
(/ y x)
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(/ y x)
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(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 y x) y y)) x)))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
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(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 2 binary64)) x)
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(/.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 y x) y y)) x))) x) #s(literal 2 binary64)) x)
(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)

rewrite265.0ms (4.2%)

Memory

15.9MiB live, 242.6MiB allocated

Rules

5 290×	`lower-fma.f32`
5 284×	`lower-fma.f64`
4 644×	`lower-/.f32`
4 638×	`lower-/.f64`
4 074×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	136
0	41	136
1	163	136
2	1176	136
0	8386	136

Stop Event

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

Counts

16 → 616

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
#s(approx (/ y (- x y)) (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) x)
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
(/.f64 #s(literal -2 binary64) (-.f64 y x))
(-.f64 y x)
(*.f64 x y)
(fma.f64 (/.f64 x y) x x)

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x))
(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) x) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) x) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 #s(literal -2 binary64) x))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y)))) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x))) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))))) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x)) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y)))) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) x)) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) x) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64)))) (.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) x (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x))
(fma.f64 #s(literal -2 binary64) x (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))))
(fma.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y)) (.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x))
(fma.f64 x #s(literal -2 binary64) (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x) (*.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) x))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -2 binary64))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))))
(.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 x y) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (/.f64 x y))) (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
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(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
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(-.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (/.f64 x y) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 x y) x)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 x y) x)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 x y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (/.f64 x y) x (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (/.f64 x y) x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (/.f64 x y) x)) (-.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) x)) x)
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x y) x))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x))
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x)))))
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) x)
(fma.f64 (/.f64 x y) x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x))
(fma.f64 x (/.f64 x y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 x y) x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 x y) x) x)
(+.f64 x (*.f64 (/.f64 x y) x))

eval244.0ms (3.9%)

Memory: 9.1MiB live, 330.3MiB allocated
Compiler: Compiled 21 988 to 2 948 computations (86.6% saved)

prune225.0ms (3.6%)

Memory

-4.1MiB live, 274.9MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 077	2	1 079
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 077	11	1 088

Accuracy

100.0%

Counts

1 088 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	77.3%	(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
✓	38.5%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
▶	34.2%	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
▶	45.1%	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
✓	54.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	47.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 91 to 74 computations (18.7% saved)

simplify34.0ms (0.5%)

Memory

-14.2MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 #s(literal -2 binary64) y)
cost-diff	0	#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
cost-diff	0	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))

Rules

448×	`lower-fma.f64`
448×	`lower-fma.f32`
416×	`lower-*.f32`
410×	`lower-*.f64`
226×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
0	18	62
1	27	62
2	46	62
3	56	62
4	65	62
5	112	62
6	168	62
7	265	62
8	598	62
9	830	62
10	895	62
11	925	62
12	947	62
13	956	62
14	957	62
0	957	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(*.f64 x y)
x
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x y)
y

Outputs
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
(.f64 (.f64 x y) #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)))
#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(*.f64 x y)
x
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x y)
y

localize30.0ms (0.5%)

Memory

27.4MiB live, 62.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 x y)
accuracy	14.49842260158181	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
accuracy	33.649888103154105	#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	14.49842260158181	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
accuracy	29.54526580037328	#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))

Samples

22.0ms

256×

valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

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

ival-div: 8.0ms (58.5% of total)

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

ival-sub: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.6%)

Memory

-67.9MiB live, 5.6MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 y) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ y x))) x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) 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 (* 2 y) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ y x))) x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) (taylor inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -2 (/ y x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) 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 (* 2 y) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) (patch (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -2 (/ y x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	y	@	-inf	((* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ -2 y) (* x y) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ 2 x))
1.0ms	x	@	-inf	((* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ -2 y) (* x y) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ 2 x))
0.0ms	x	@	0	((* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ -2 y) (* x y) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ 2 x))
0.0ms	y	@	0	((* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ -2 y) (* x y) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ 2 x))
0.0ms	y	@	inf	((* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ -2 y) (* x y) (* (/ -2 (- y x)) (* x y)) (/ -2 (- y x)) (/ 2 x))

simplify230.0ms (3.6%)

Memory

41.8MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 750×	`lower-fma.f64`
16 750×	`lower-fma.f32`
6 092×	`lower-*.f64`
6 092×	`lower-*.f32`
1 636×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1528
1	597	1464
2	1668	1360
3	5009	1336
0	8463	1206

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)

Outputs
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -2 (/ x y)) 2) y)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -2 (/ x y)) 2) y)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)))) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)))) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y)
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y)
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))) x (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y) x #s(literal -2 binary64)) x)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y)
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -2 binary64) #s(literal -2 binary64)) y)
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))) x (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 2 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 2 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) y (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) y (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64) #s(literal 2 binary64)) x) y #s(literal 2 binary64)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)

rewrite218.0ms (3.5%)

Memory

7.9MiB live, 201.5MiB allocated

Rules

4 368×	`lower-/.f32`
4 364×	`lower-/.f64`
3 738×	`lower-fma.f64`
3 738×	`lower-fma.f32`
3 706×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
0	18	53
1	60	53
2	282	53
3	2237	53
0	8624	53

Stop Event

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

Counts

7 → 62

Calls

Call 1

Inputs
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
(*.f64 x y)
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)

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

eval29.0ms (0.5%)

Memory: -30.5MiB live, 54.5MiB allocated
Compiler: Compiled 2 624 to 291 computations (88.9% saved)

prune18.0ms (0.3%)

Memory

11.9MiB live, 50.2MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	230	13	243

Accuracy

100.0%

Counts

243 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	77.3%	(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
	53.8%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) y) x)
	39.5%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
✓	38.5%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	34.2%	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
✓	45.1%	(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
✓	54.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	47.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	53.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 232 to 135 computations (41.8% saved)

regimes17.0ms (0.3%)

Memory

0.1MiB live, 38.4MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) y) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))

(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
98.9%	3	`x`
95.6%	3	`y`
99.9%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-5.2MiB live, 33.6MiB allocated

Counts

12 → 5

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) y) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 x y))

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Calls

3 calls:

5.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
89.6%	5	`y`
92.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
87.3%	5	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes81.0ms (1.3%)

Memory

6.4MiB live, 66.8MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) y) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Calls

3 calls:

73.0ms	x
4.0ms	y
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
78.1%	3	`x`
78.1%	3	`y`
64.1%	4	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-27.8MiB live, 10.6MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) (.f64 x y))
(.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) (.f64 x y))
(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) y) x)

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Calls

2 calls:

9.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
77.5%	3	`x`
78.0%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Calls

3 calls:

1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.9%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
53.9%	1	`x`
53.9%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch39.0ms (0.6%)

Memory

-11.1MiB live, 25.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.1101507464985556e+104	7.88647722304945e+105
3.0ms	-3.5887489798847286e+174	-3.2445331236211214e+174

Samples

7.0ms

144×

valid

Compiler

Compiled 164 to 152 computations (7.3% saved)

Precisions

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

ival-mult: 2.0ms (55.3% of total)

ival-sub: 1.0ms (27.7% of total)

ival-div: 1.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.885799887936104e+126	+inf
0.0ms	-0.0	1.838215308942897e-302
0.0ms	-1.0236963982216762e-299	-5.519810951480187e-302
0.0ms	-inf	-1.2700251446253887e+120

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch46.0ms (0.7%)

Memory

11.6MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	8.683306839066267e+46	2.8654998080192646e+51
12.0ms	-6.706442420293284e-6	-1.2313903230828186e-11

Samples

33.0ms

272×

valid

Compiler

Compiled 233 to 250 computations (-7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 23.0ms (85.2% of total)

ival-div: 2.0ms (7.4% of total)

ival-sub: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.6%)

Memory

-15.4MiB live, 28.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.4724802434896765e+77	2.4044442154960774e+80
1.0ms	-6.706442420293284e-6	-1.2313903230828186e-11

Samples

6.0ms

128×

valid

Compiler

Compiled 148 to 216 computations (-45.9% saved)

Precisions

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

ival-mult: 2.0ms (60.9% of total)

ival-sub: 1.0ms (30.5% of total)

ival-div: 1.0ms (30.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify43.0ms (0.7%)

Memory

6.9MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	270
1	67	270
2	74	270
3	78	270
4	80	270

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -3500000000000000131514723816866284842168978558931238370517275104795410571936315294012962864296671665032145689669688226444310361387980185591010728019554484890974960692288815104 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2600000000000000195952878004268209301828266619268701827572451044139909740068537892472460830094085045878784 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 y #s(literal -2630622583481433/77371252455336267181195264 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 88000000000000001424545035528504916334126039040 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -2630622583481433/77371252455336267181195264 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 269999999999999983781351517232651829316791575871472185235871269351981701922816 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
(if (<=.f64 x #s(literal -3500000000000000131514723816866284842168978558931238370517275104795410571936315294012962864296671665032145689669688226444310361387980185591010728019554484890974960692288815104 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2600000000000000195952878004268209301828266619268701827572451044139909740068537892472460830094085045878784 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -3500000000000000131514723816866284842168978558931238370517275104795410571936315294012962864296671665032145689669688226444310361387980185591010728019554484890974960692288815104 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2600000000000000195952878004268209301828266619268701827572451044139909740068537892472460830094085045878784 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 y x)) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 0 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (.f64 y x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 y #s(literal -2630622583481433/77371252455336267181195264 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 88000000000000001424545035528504916334126039040 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -2630622583481433/77371252455336267181195264 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 269999999999999983781351517232651829316791575871472185235871269351981701922816 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

soundness891.0ms (14.1%)

Memory

18.3MiB live, 300.6MiB allocated

Rules

14 398×	`lower-fma.f64`
14 398×	`lower-fma.f32`
5 632×	`lower-/.f32`
5 630×	`lower-/.f64`
5 052×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20
0	136	557
1	378	543
2	1014	523
3	3096	517
4	6425	517
0	8149	486

Stop Event

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

Compiler

Compiled 252 to 119 computations (52.8% saved)

preprocess273.0ms (4.3%)

Memory: -7.0MiB live, 152.5MiB allocated
Compiler: Compiled 412 to 146 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	62
0	18	62
1	27	62
2	46	62
3	56	62
4	65	62
5	112	62
6	168	62
7	265	62
8	598	62
9	830	62
10	895	62
11	925	62
12	947	62
13	956	62
14	957	62
0	957	62

Iter	Nodes	Cost
0	13	62
0	18	62
1	27	62
2	46	62
3	56	62
4	65	62
5	112	62
6	168	62
7	265	62
8	598	62
9	830	62
10	895	62
11	925	62
12	947	62
13	956	62
14	957	62
0	957	62

start0.0ms (0%)

analyze13.0ms (0.2%)

sample942.0ms (14.9%)

explain205.0ms (3.3%)

preprocess169.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (1.1%)

localize18.0ms (0.3%)

series34.0ms (0.5%)

simplify162.0ms (2.6%)

rewrite152.0ms (2.4%)

eval84.0ms (1.3%)

prune61.0ms (1%)

simplify256.0ms (4.1%)

localize74.0ms (1.2%)

series23.0ms (0.4%)

simplify156.0ms (2.5%)

rewrite331.0ms (5.2%)

eval162.0ms (2.6%)

prune143.0ms (2.3%)

simplify109.0ms (1.7%)

localize87.0ms (1.4%)

series32.0ms (0.5%)

simplify229.0ms (3.6%)

rewrite265.0ms (4.2%)

eval244.0ms (3.9%)

prune225.0ms (3.6%)

simplify34.0ms (0.5%)

localize30.0ms (0.5%)

series36.0ms (0.6%)

simplify230.0ms (3.6%)

rewrite218.0ms (3.5%)

eval29.0ms (0.5%)

prune18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes15.0ms (0.2%)

regimes81.0ms (1.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch39.0ms (0.6%)

bsearch1.0ms (0%)

bsearch46.0ms (0.7%)

bsearch41.0ms (0.6%)

simplify43.0ms (0.7%)

soundness891.0ms (14.1%)

preprocess273.0ms (4.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	62
0	18	62
1	27	62
2	46	62
3	56	62
4	65	62
5	112	62
6	168	62
7	265	62
8	598	62
9	830	62
10	895	62
11	925	62
12	947	62
13	956	62
14	957	62
0	957	62