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

analyze13.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB 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 11 to 9 computations (18.2% saved)

sample936.0ms (15.4%)

Memory

-25.8MiB live, 1 188.4MiB allocated

Samples

694.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-mult: 184.0ms (41.2% of total)

ival-sub: 141.0ms (31.6% of total)

ival-div: 108.0ms (24.2% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

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

Bogosity

preprocess180.0ms (3%)

Memory

5.0MiB live, 126.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain78.0ms (1.3%)

Memory

-15.4MiB live, 216.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	1	(1.7549972431482444e-33 8.591030691455284e-290)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	39
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	25	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	25

Confusion

	Predicted +	Predicted -
+	64	1
-	0	191

Precision

1.0

Recall

0.9846153846153847

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	1
-	0	0	191

Precision?

1.0

Recall?

0.9846153846153847

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-div: 6.0ms (34.7% of total)

ival-mult: 6.0ms (34.7% of total)

ival-sub: 4.0ms (23.1% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify69.0ms (1.1%)

Memory

-1.1MiB live, 83.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

3.5MiB live, 40.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	76.2%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (45.4% of total)

ival-div: 2.0ms (30.3% of total)

ival-sub: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.9MiB live, 14.0MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

21 calls:

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

rewrite343.0ms (5.6%)

Memory

-1.2MiB live, 509.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 405

Calls

Call 1

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

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

simplify428.0ms (7%)

Memory

-12.7MiB live, 510.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3099	517
4	6414	517
0	8134	486

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

eval53.0ms (0.9%)

Memory: 29.5MiB live, 105.6MiB allocated
Compiler: Compiled 13 364 to 1 314 computations (90.2% saved)

prune61.0ms (1%)

Memory

-8.4MiB live, 146.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	480	6	486
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	481	6	487

Accuracy

100.0%

Counts

487 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.8%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
▶	87.1%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
▶	56.1%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
▶	56.4%	(*.f64 y #s(literal 2 binary64))
▶	44.5%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
▶	45.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 104 to 68 computations (34.6% saved)

simplify269.0ms (4.4%)

Memory

-31.4MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	30	75
1	58	75
2	104	75
3	160	75
4	204	75
5	331	75
6	634	75
7	1327	75
8	2536	75
9	3296	75
10	3538	75
11	3634	75
12	3653	75
13	3661	75
14	3936	75
15	4048	75
16	4056	75
17	4056	75
18	4056	75
19	4056	75
20	4056	75
21	4128	75
22	4636	75
0	4636	75

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (1%)

Memory

-4.3MiB live, 112.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	accuracy	99.9%	(fma.f64 x (/.f64 x y) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓	accuracy	87.1%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)

Samples

35.0ms

256×

valid

Compiler

Compiled 81 to 20 computations (75.3% saved)

Precisions

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

ival-mult: 13.0ms (55.6% of total)

ival-div: 5.0ms (21.4% of total)

ival-sub: 2.0ms (8.6% of total)

ival-add: 2.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

12 → 240

Calls

Call 1

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

Outputs
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y))))>
#<alt (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)>
#<alt (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x)>
#<alt (/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x)>
#<alt (/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x)>
#<alt (* 2 (/ y x))>
#<alt (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>

Calls

60 calls:

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

rewrite527.0ms (8.7%)

Memory

0.1MiB live, 484.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 974×	`lower-fma.f32`
5 970×	`lower-fma.f64`
5 256×	`lower-*.f32`
5 244×	`lower-*.f64`
4 014×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	30	62
1	114	62
2	728	62
0	8211	62

Stop Event

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

Counts

12 → 634

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 x x)) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 y (+.f64 y x))))
(+.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 y (+.f64 y x))) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 y y (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 y x)))
(+.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) y) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) x))
(+.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) x) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) y))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))) (.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))))
(+.f64 (.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))) (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))))
(+.f64 (.f64 (fma.f64 y y (.f64 x x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))) (.f64 (.f64 y x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))))
(+.f64 (.f64 y (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x)))) (.f64 x (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (.f64 x (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x)))) (.f64 y (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 y (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 x (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 y x)))))
(fma.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 y x)))))
(fma.f64 (fma.f64 y y (.f64 x x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 y x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 x x) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (*.f64 y (+.f64 y x))))
(fma.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 y (+.f64 y x)) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (*.f64 y x)))
(fma.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) y (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) x))
(fma.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) x (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) y))
(neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)) x))
(neg.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 y x)))
(neg.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (-.f64 x y)))
(/.f64 x (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 x y) (*.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x)))))
(/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (-.f64 y x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(/.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (fma.f64 (.f64 y (+.f64 y x)) (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (-.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 y (.f64 x #s(literal -2 binary64)))) (-.f64 x y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 (.f64 y (+.f64 y x)) (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 y (/.f64 x (-.f64 x y))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 y (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(.f64 y (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
(.f64 y (.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) x))
(.f64 y (.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
(.f64 (.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) x))
(.f64 (.f64 y #s(literal -2 binary64)) (/.f64 x (-.f64 y x)))
(.f64 (.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 #s(literal 2 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (+.f64 y x) (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 y x) (-.f64 y x))))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 y (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y)))
(.f64 (.f64 y (/.f64 x (-.f64 x y))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 y #s(literal -2 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 y #s(literal -2 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (+.f64 y x) x))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 16 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 y (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))) #s(literal 8 binary64))))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal 16 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64)))))
(.f64 (neg.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64))) (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 4 binary64)) (+.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (/.f64 (.f64 y #s(literal 4 binary64)) x)))) (+.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (/.f64 (*.f64 y #s(literal 4 binary64)) x)))
(.f64 (/.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))

simplify705.0ms (11.6%)

Memory

2.5MiB live, 465.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 624×	`lower-fma.f64`
14 624×	`lower-fma.f32`
5 522×	`lower-*.f64`
5 522×	`lower-*.f32`
1 434×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1658
1	634	1612
2	1766	1553
3	5679	1551
0	8261	1432

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

eval160.0ms (2.6%)

Memory: 9.2MiB live, 173.3MiB allocated
Compiler: Compiled 18 900 to 1 919 computations (89.8% saved)

prune98.0ms (1.6%)

Memory

-15.7MiB live, 299.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	867	1	868
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	867	7	874

Accuracy

100.0%

Counts

874 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.8%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
▶	44.5%	(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) x)
✓	87.1%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	56.1%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	56.4%	(*.f64 y #s(literal 2 binary64))
✓	44.5%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	45.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 62 to 40 computations (35.5% saved)

simplify177.0ms (2.9%)

Memory

1.4MiB live, 162.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	0	(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) x)

Rules

1 528×	`lower-fma.f32`
1 526×	`lower-fma.f64`
1 176×	`lower-*.f32`
1 172×	`lower-*.f64`
568×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	19	43
1	34	43
2	64	43
3	100	43
4	141	43
5	262	43
6	529	43
7	1064	43
8	2326	43
9	3298	43
10	3511	43
11	3615	43
12	3629	43
13	3631	43
14	3879	43
15	3994	43
16	3994	43
17	3994	43
0	3994	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.6%)

Memory

2.7MiB live, 80.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) y)
✓	accuracy	86.8%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	99.9%	(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) x)
✓	accuracy	99.5%	(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-div: 6.0ms (46.4% of total)

ival-mult: 4.0ms (31% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

7 → 144

Calls

Call 1

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

Outputs
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* (+ (* x (/ -2 y)) -2) x)
0.0ms	x	@	inf	(* (+ (* x (/ -2 y)) -2) x)
0.0ms	x	@	0	(* (+ (* x (/ -2 y)) -2) x)
0.0ms	x	@	-inf	(* (+ (* x (/ -2 y)) -2) x)
0.0ms	x	@	-inf	(/ (- x y) y)

rewrite442.0ms (7.3%)

Memory

3.4MiB live, 446.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 240×	`lower-*.f32`
4 236×	`lower-*.f64`
3 324×	`lower-/.f32`
3 318×	`lower-/.f64`
3 180×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	19	37
1	80	37
2	554	37
3	6244	37
0	8121	37

Stop Event

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

Counts

7 → 534

Calls

Call 1

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

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

simplify433.0ms (7.1%)

Memory

15.7MiB live, 647.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 880×	`lower-fma.f64`
16 880×	`lower-fma.f32`
5 016×	`lower-*.f64`
5 016×	`lower-*.f32`
2 636×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	911
1	445	897
2	1266	877
3	3745	871
4	7368	871
0	8278	806

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

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

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

eval102.0ms (1.7%)

Memory: -11.4MiB live, 145.8MiB allocated
Compiler: Compiled 13 105 to 1 613 computations (87.7% saved)

prune79.0ms (1.3%)

Memory

-2.2MiB live, 211.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	675	0	675
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	675	7	682

Accuracy

100.0%

Counts

682 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.8%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	44.5%	(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) x)
✓	87.1%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	56.1%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	56.4%	(*.f64 y #s(literal 2 binary64))
✓	44.5%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	45.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 121 to 64 computations (47.1% saved)

regimes29.0ms (0.5%)

Memory

-16.9MiB live, 24.6MiB allocated

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
94.4%	3	`x`
95.9%	3	`y`
99.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

7 → 5

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	y
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
95.9%	3	`y`
87.1%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes23.0ms (0.4%)

Memory

-25.6MiB live, 14.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
2.0ms	x
2.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
59.9%	3	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
79.5%	3	`x`
76.3%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.1%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
45.1%	1	`y`
45.1%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.732396913096366e-86	1.3797559021976338e-81
0.0ms	-0.0	6.381665688432489e-304
0.0ms	-2.9250514315615907e-302	-4.2108329831347084e-305
0.0ms	-3.8150659146686966e-121	-3.237086510591144e-123

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.732396913096366e-86	1.3797559021976338e-81
0.0ms	-0.0	6.381665688432489e-304
0.0ms	-2.9250514315615907e-302	-4.2108329831347084e-305
0.0ms	-3.8150659146686966e-121	-3.237086510591144e-123

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch24.0ms (0.4%)

Memory

1.9MiB live, 40.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.5298503588923532e-129	8.814865205426594e-120
9.0ms	-2.9727162044485114e-118	-4.822397091391845e-119

Samples

12.0ms

256×

valid

Compiler

Compiled 382 to 252 computations (34% saved)

Precisions

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

ival-mult: 3.0ms (45.7% of total)

ival-div: 2.0ms (30.5% of total)

ival-sub: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Memory

-6.3MiB live, 31.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.5741977941893716e-57	8.083013480547312e-54
7.0ms	-0.0013095117477367275	-0.000883821403466043

Samples

11.0ms

192×

valid

Compiler

Compiled 238 to 164 computations (31.1% saved)

Precisions

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

ival-mult: 2.0ms (40.5% of total)

ival-sub: 1.0ms (20.2% of total)

ival-div: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.5741977941893716e-57	8.083013480547312e-54
3.0ms	-0.0013095117477367275	-0.000883821403466043

Samples

2.0ms

32×

valid

Compiler

Compiled 218 to 156 computations (28.4% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.5741977941893716e-57	8.083013480547312e-54
0.0ms	-0.0013095117477367275	-0.000883821403466043

Samples

2.0ms

48×

valid

Compiler

Compiled 158 to 132 computations (16.5% saved)

Precisions

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

ival-mult: 1.0ms (86.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify21.0ms (0.3%)

Memory

-30.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	289
1	64	289
2	68	289
3	70	289
4	71	289

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))))
(if (<=.f64 y #s(literal -4997016229532297/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 y #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))
(if (<=.f64 x #s(literal -5534023222112865/4611686018427387904 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -5072854620270127/4611686018427387904 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -5534023222112865/4611686018427387904 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 3235193600058077/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (.f64 #s(literal -2 binary64) x) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) x)

Outputs
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 x (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)))))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)))))))
(if (<=.f64 y #s(literal -4997016229532297/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 y #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))
(if (<=.f64 y #s(literal -4997016229532297/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y))) (if (<=.f64 y #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (.f64 x (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)))))
(if (<=.f64 x #s(literal -5534023222112865/4611686018427387904 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -5534023222112865/4611686018427387904 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 #s(literal 2 binary64) y)))
(if (<=.f64 x #s(literal -5072854620270127/4611686018427387904 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -5072854620270127/4611686018427387904 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 #s(literal 2 binary64) y)))
(if (<=.f64 x #s(literal -5534023222112865/4611686018427387904 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 3235193600058077/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (.f64 #s(literal -2 binary64) x) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -5534023222112865/4611686018427387904 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 3235193600058077/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))

soundness580.0ms (9.5%)

Memory

11.0MiB live, 408.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3099	517
4	6414	517
0	8134	486
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20

Stop Event

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

Compiler

Compiled 400 to 126 computations (68.5% saved)

preprocess71.0ms (1.2%)

Memory: 4.2MiB live, 155.7MiB allocated
Compiler: Compiled 678 to 154 computations (77.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

sample936.0ms (15.4%)

preprocess180.0ms (3%)

explain78.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (1.1%)

localize23.0ms (0.4%)

series7.0ms (0.1%)

rewrite343.0ms (5.6%)

simplify428.0ms (7%)

eval53.0ms (0.9%)

prune61.0ms (1%)

simplify269.0ms (4.4%)

localize59.0ms (1%)

series11.0ms (0.2%)

rewrite527.0ms (8.7%)

simplify705.0ms (11.6%)

eval160.0ms (2.6%)

prune98.0ms (1.6%)

simplify177.0ms (2.9%)

localize36.0ms (0.6%)

series7.0ms (0.1%)

rewrite442.0ms (7.3%)

simplify433.0ms (7.1%)

eval102.0ms (1.7%)

prune79.0ms (1.3%)

regimes29.0ms (0.5%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes23.0ms (0.4%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.4%)

bsearch19.0ms (0.3%)

bsearch4.0ms (0.1%)

bsearch5.0ms (0.1%)

simplify21.0ms (0.3%)

soundness580.0ms (9.5%)

preprocess71.0ms (1.2%)

end0.0ms (0%)

Profiling