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

analyze11.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample622.0ms (15.6%)

Memory

10.2MiB live, 961.0MiB allocated

Samples

393.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-div: 80.0ms (35.3% of total)

ival-mult: 76.0ms (33.6% of total)

ival-add: 57.0ms (25.2% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

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

Bogosity

preprocess51.0ms (1.3%)

Memory

1.4MiB live, 37.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain121.0ms (3%)

Memory

12.7MiB live, 160.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	31	0
↳	`(*.f64 x y)`	overflow	31

Confusion

	Predicted +	Predicted -
+	31	0
-	0	225

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	0
-	0	0	225

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	225
1	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-add: 10.0ms (57.2% of total)

ival-mult: 4.0ms (22.9% of total)

ival-div: 3.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.3%)

Memory

-29.9MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.5%)

Memory

5.5MiB live, 44.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	88.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (38.2% of total)

ival-mult: 2.0ms (38.2% of total)

ival-add: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

15 calls:

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

rewrite351.0ms (8.8%)

Memory

-27.5MiB live, 498.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 336

Calls

Call 1

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

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

simplify261.0ms (6.6%)

Memory

26.2MiB live, 429.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

eval45.0ms (1.1%)

Memory: -1.9MiB live, 109.4MiB allocated
Compiler: Compiled 8 336 to 1 037 computations (87.6% saved)

prune87.0ms (2.2%)

Memory

9.3MiB live, 132.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	5	393

Accuracy

100.0%

Counts

393 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	87.3%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
▶	50.4%	(-.f64 x (/.f64 x y))
▶	50.3%	(*.f64 x (fma.f64 y (neg.f64 y) y))
▶	51.2%	(*.f64 x y)

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify94.0ms (2.4%)

Memory

2.4MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

928×	`lower-fma.f32`
926×	`lower-fma.f64`
616×	`lower-*.f32`
612×	`lower-*.f64`
550×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	22	49
1	43	49
2	71	49
3	141	49
4	210	49
5	372	49
6	682	49
7	1048	49
8	1584	49
9	2239	49
10	2338	49
11	2352	49
12	2355	49
13	2356	49
14	2356	49
0	2356	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.7%)

Memory

-13.6MiB live, 27.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 y #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	87.3%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
✓	accuracy	100.0%	(fma.f64 y (neg.f64 y) y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	96.0%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	accuracy	100.0%	(*.f64 x y)

Samples

46.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 26.0ms (72.8% of total)

ival-div: 5.0ms (14% of total)

ival-add: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ x y)
1.0ms	x	@	0	(* x (+ (* y (neg y)) y))
0.0ms	x	@	inf	(- x (/ x y))
0.0ms	y	@	0	(* x (+ (* y (neg y)) y))
0.0ms	x	@	0	(- x (/ x y))

rewrite393.0ms (9.9%)

Memory

-33.3MiB live, 425.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 836×	`lower-fma.f32`
5 834×	`lower-fma.f64`
4 588×	`lower-*.f32`
4 584×	`lower-*.f64`
4 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	22	40
1	95	40
2	673	40
0	8710	40

Stop Event

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

Counts

9 → 610

Calls

Call 1

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

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

simplify375.0ms (9.4%)

Memory

7.0MiB live, 408.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 218×	`lower-fma.f64`
10 218×	`lower-fma.f32`
2 548×	`lower-*.f64`
2 548×	`lower-*.f32`
1 650×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	209	869
2	406	861
3	1640	813
4	5745	813
0	8208	811

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 173

Calls

Call 1

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

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

eval170.0ms (4.3%)

Memory: -3.1MiB live, 148.1MiB allocated
Compiler: Compiled 14 128 to 1 717 computations (87.8% saved)

prune167.0ms (4.2%)

Memory

6.5MiB live, 127.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	782	1	783
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	782	6	788

Accuracy

100.0%

Counts

788 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	87.3%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
▶	3.3%	(/.f64 x (neg.f64 y))
✓	50.4%	(-.f64 x (/.f64 x y))
✓	50.3%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	51.2%	(*.f64 x y)

Compiler

Compiled 45 to 28 computations (37.8% saved)

simplify8.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 x (neg.f64 y))

Rules

28×	`lower-+.f64`
28×	`lower-+.f32`
24×	`sub-neg`
20×	`lower--.f64`
20×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	12	8
2	20	8
3	27	8
4	35	8
5	45	8
6	56	8
7	64	8
8	73	8
9	76	8
10	77	8
0	77	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y

Outputs
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y

localize26.0ms (0.6%)

Memory

-23.5MiB live, 15.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)

Samples

21.0ms

256×

valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-div: 2.0ms (57.9% of total)

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

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

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite155.0ms (3.9%)

Memory

34.0MiB live, 267.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 970×	`lower-fma.f64`
1 970×	`lower-fma.f32`
1 644×	`lower-*.f64`
1 644×	`lower-*.f32`
1 336×	`frac-times`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	20	6
2	86	6
3	480	6
4	5110	4
0	9083	4

Stop Event

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

Counts

2 → 433

Calls

Call 1

Inputs
(/.f64 x (neg.f64 y))
(neg.f64 y)

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

simplify13.0ms (0.3%)

Memory

-25.0MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`lower-+.f64`
28×	`lower-+.f32`
24×	`sub-neg`
20×	`lower--.f64`
20×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	120
1	12	120
2	19	120
3	27	120
4	34	120
5	40	120
6	49	120
7	62	120
8	71	120
9	74	120
10	75	120
0	75	120

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

Outputs
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval47.0ms (1.2%)

Memory: 10.7MiB live, 120.7MiB allocated
Compiler: Compiled 6 289 to 652 computations (89.6% saved)

prune147.0ms (3.7%)

Memory

-21.8MiB live, 179.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	468	1	469
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	468	7	475

Accuracy

100.0%

Counts

475 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	87.3%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	3.3%	(/.f64 x (neg.f64 y))
▶	4.2%	(/.f64 x y)
✓	50.4%	(-.f64 x (/.f64 x y))
✓	50.3%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	51.2%	(*.f64 x y)

Compiler

Compiled 50 to 31 computations (38% saved)

simplify4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)

Rules

2×	`lift-/.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x y)
x
y

Outputs
(/.f64 x y)
x
y

localize11.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)

Samples

7.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-div: 2.0ms (84.6% of total)

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

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

series1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite64.0ms (1.6%)

Memory

-3.5MiB live, 109.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

520×	`lower-*.f64`
520×	`lower-*.f32`
470×	`lower-/.f32`
468×	`lower-/.f64`
134×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	3
1	12	3
2	47	3
3	216	3
0	1204	3

Stop Event

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

Counts

1 → 58

Calls

Call 1

Inputs
(/.f64 x y)

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

simplify4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`lower-/.f32`
2×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
0	3	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval17.0ms (0.4%)

Memory: -11.2MiB live, 28.6MiB allocated
Compiler: Compiled 618 to 135 computations (78.2% saved)

prune15.0ms (0.4%)

Memory

-1.5MiB live, 34.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	82	7	89

Accuracy

100.0%

Counts

89 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	87.3%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	3.3%	(/.f64 x (neg.f64 y))
✓	4.2%	(/.f64 x y)
✓	50.4%	(-.f64 x (/.f64 x y))
✓	50.3%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	51.2%	(*.f64 x y)

Compiler

Compiled 88 to 45 computations (48.9% saved)

regimes10.0ms (0.3%)

Memory

-10.3MiB live, 29.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.8%	2	`x`
100.0%	3	`y`
99.9%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 x y)
(/.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
(/.f64 x (neg.f64 y))
(-.f64 x (/.f64 x y))

Outputs
(-.f64 x (/.f64 x y))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(-.f64 x (/.f64 x y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	3	`y`
65.4%	6	`x`
83.8%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.2%)

Memory

-16.9MiB live, 22.9MiB allocated

Accuracy

Total -31.7b remaining (-101.7%)

Threshold costs -31.7b (-101.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(/.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
(/.f64 x (neg.f64 y))

Outputs
(*.f64 x y)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
51.2%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9393559268213193e+209	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch32.0ms (0.8%)

Memory

-25.9MiB live, 66.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.009546408000313297	1109.2846304419277
18.0ms	-2.747417933136964	-4.4147600644880776e-13

Samples

18.0ms

304×

valid

Compiler

Compiled 354 to 220 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 7.0ms (57.8% of total)

ival-div: 2.0ms (16.5% of total)

ival-mult: 2.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	29	50
2	37	50
3	42	50
4	45	50
5	46	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 x (/.f64 x y)))

(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) (-.f64 x (/.f64 x y))))

(*.f64 x y)

Outputs

(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 x (/.f64 x y)))

(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) (-.f64 x (/.f64 x y))))

(*.f64 x y)

soundness407.0ms (10.2%)

Memory

-13.7MiB live, 184.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 80 to 35 computations (56.3% saved)

preprocess134.0ms (3.4%)

Memory: 2.5MiB live, 236.1MiB allocated
Compiler: Compiled 248 to 106 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	120
1	12	120
2	19	120
3	27	120
4	34	120
5	40	120
6	49	120
7	62	120
8	71	120
9	74	120
10	75	120
0	75	120

Iter	Nodes	Cost
0	6	120
1	12	120
2	19	120
3	27	120
4	34	120
5	40	120
6	49	120
7	62	120
8	71	120
9	74	120
10	75	120
0	75	120

analyze11.0ms (0.3%)

sample622.0ms (15.6%)

preprocess51.0ms (1.3%)

explain121.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize19.0ms (0.5%)

series6.0ms (0.2%)

rewrite351.0ms (8.8%)

simplify261.0ms (6.6%)

eval45.0ms (1.1%)

prune87.0ms (2.2%)

simplify94.0ms (2.4%)

localize66.0ms (1.7%)

series11.0ms (0.3%)

rewrite393.0ms (9.9%)

simplify375.0ms (9.4%)

eval170.0ms (4.3%)

prune167.0ms (4.2%)

simplify8.0ms (0.2%)

localize26.0ms (0.6%)

series1.0ms (0%)

rewrite155.0ms (3.9%)

simplify13.0ms (0.3%)

eval47.0ms (1.2%)

prune147.0ms (3.7%)

simplify4.0ms (0.1%)

localize11.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (1.6%)

simplify4.0ms (0.1%)

eval17.0ms (0.4%)

prune15.0ms (0.4%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch32.0ms (0.8%)

simplify7.0ms (0.2%)

soundness407.0ms (10.2%)

preprocess134.0ms (3.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	120
1	12	120
2	19	120
3	27	120
4	34	120
5	40	120
6	49	120
7	62	120
8	71	120
9	74	120
10	75	120
0	75	120