Metrics for Data.Colour.SRGB:invTransferFunction from colour-2.3.3

analyze11.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (14.6%)

Memory

-27.5MiB live, 888.9MiB allocated

Samples

722.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 421.0ms

ival-div: 223.0ms (53% of total)

ival-add: 183.0ms (43.5% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

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

Bogosity

preprocess57.0ms (0.7%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

402×	`times-frac`
356×	`associate-r`
272×	`div-sub`
238×	`unsub-neg`
238×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	42	35
2	86	35
3	204	35
4	577	35
5	1216	35
6	1586	35
7	1979	35
8	2103	35
9	2174	35
10	2186	35
0	6	7
1	10	7
0	10	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (+ y 1))

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

explain101.0ms (1.3%)

Memory

4.6MiB live, 87.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
-	-	`(+.f64 y #s(literal 1 binary64))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

69.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 51.0ms (92.4% of total)

ival-div: 3.0ms (5.4% 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
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

-29.1MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	10	16
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (+ y 1))
(+ x y)
x
y
(+ y 1)
1

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

localize19.0ms (0.2%)

Memory

8.9MiB live, 46.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-add: 3.0ms (59.7% of total)

ival-div: 2.0ms (39.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/ (+ x y) (+ y 1))>
#<alt (+ x y)>
#<alt (+ y 1)>

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

Calls

15 calls:

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

rewrite486.0ms (6.2%)

Memory

-19.3MiB live, 713.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 790×	`/-lowering-/.f32`
5 790×	`/-lowering-/.f64`
5 040×	`-lowering-.f32`
5 040×	`-lowering-.f64`
2 694×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	304	13
3	3739	13
0	9900	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 471

Calls

Call 1

Inputs
(/ (+ x y) (+ y 1))
(+ x y)
(+ y 1)

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

simplify348.0ms (4.4%)

Memory

14.6MiB live, 563.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 130×	`accelerator-lowering-fma.f32`
12 130×	`accelerator-lowering-fma.f64`
3 512×	`+-lowering-+.f64`
3 512×	`+-lowering-+.f32`
3 160×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	362
1	263	358
2	670	338
3	2440	308
0	8253	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval61.0ms (0.8%)

Memory: 14.6MiB live, 176.6MiB allocated
Compiler: Compiled 12 712 to 1 478 computations (88.4% saved)

prune260.0ms (3.3%)

Memory

-2.0MiB live, 156.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	523	8	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	8	532

Accuracy

100.0%

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
▶	73.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
	50.3%	(/.f64 (+.f64 x y) y)
▶	49.7%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
	52.2%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	50.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	42.1%	x
▶	39.8%	#s(literal 1 binary64)

Compiler

Compiled 134 to 88 computations (34.3% saved)

simplify341.0ms (4.3%)

Memory

-21.7MiB live, 501.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	128	(*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	192	(-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 x y)))
✓	cost-diff	512	(*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
✓	cost-diff	896	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))

Rules

13 638×	`accelerator-lowering-fma.f32`
13 638×	`accelerator-lowering-fma.f64`
2 778×	`-lowering-.f32`
2 778×	`-lowering-.f64`
1 732×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
1	57	96
2	151	94
3	488	86
4	1769	86
5	5601	86
0	8235	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* 0 (- -1 y)) (* (- -1 y) (+ x y))) (* (+ y 1) (+ y 1)))
(- (* 0 (- -1 y)) (* (- -1 y) (+ x y)))
(* 0 (- -1 y))
0
(- -1 y)
-1
y
(* (- -1 y) (+ x y))
(+ x y)
x
(* (+ y 1) (+ y 1))
(+ y 1)
1
1
(+ (* y (- 1 x)) x)
y
(- 1 x)
1
x
(/ y (+ y 1))
y
(+ y 1)
1
(+ 1 (/ (+ x -1) y))
1
(/ (+ x -1) y)
(+ x -1)
x
-1
y

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

localize62.0ms (0.8%)

Memory

3.1MiB live, 117.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 x y))
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	74.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))

Samples

35.0ms

256×

valid

Compiler

Compiled 111 to 22 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 6.0ms (29.2% of total)

ival-div: 5.0ms (24.3% of total)

ival-mult: 5.0ms (24.3% of total)

ival-sub: 4.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

12 → 216

Calls

Call 1

Inputs
#<alt (/ (- (* 0 (- -1 y)) (* (- -1 y) (+ x y))) (* (+ y 1) (+ y 1)))>
#<alt (* 0 (- -1 y))>
#<alt (- (* 0 (- -1 y)) (* (- -1 y) (+ x y)))>
#<alt (* (+ y 1) (+ y 1))>
#<alt (+ (* y (- 1 x)) x)>
#<alt (- 1 x)>
#<alt (/ y (+ y 1))>
#<alt (+ y 1)>
#<alt (+ 1 (/ (+ x -1) y))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
#<alt (* (- -1 y) (+ x y))>

Outputs
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ x y)) (/ 1 y))) (* -2 (/ (- x 1) y))) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- (+ 1 (* -1 x)) (* -2 (- x 1)))) (/ 1 y)) (+ (* -2 (/ (- (+ 1 (* -1 x)) (* -2 (- x 1))) y)) (/ x y))) y))) y)))>
#<alt (/ y (+ 1 y))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (/ x (+ 1 y))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (/ x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt x>
#<alt (- (* y (+ 1 x)) (* -1 x))>
#<alt (- (* y (- y (* -1 (+ 1 x)))) (* -1 x))>
#<alt (- (* y (- y (* -1 (+ 1 x)))) (* -1 x))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (/ 1 y) (/ x y))))>
#<alt (* (pow y 2) (- (+ 1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))))>
#<alt (* (pow y 2) (- (+ 1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (/ 1 y) (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ x y)) (+ 1 x)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ x y)) (+ 1 x)) y))))>
#<alt (* y (+ 1 y))>
#<alt (- (* x (+ 1 y)) (* -1 (* y (+ 1 y))))>
#<alt (- (* x (+ 1 y)) (* -1 (* y (+ 1 y))))>
#<alt (- (* x (+ 1 y)) (* -1 (* y (+ 1 y))))>
#<alt (* x (+ 1 y))>
#<alt (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))>
#<alt (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))>
#<alt (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))>
#<alt (* x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))))>
#<alt 1>
#<alt (+ 1 (* 2 y))>
#<alt (+ 1 (* y (+ 2 y)))>
#<alt (+ 1 (* y (+ 2 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (/ x y)) x))>
#<alt (* y (- (+ 1 (/ x y)) x))>
#<alt (* y (- (+ 1 (/ x y)) x))>
#<alt (* y (- 1 x))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))>
#<alt y>
#<alt (+ y (* x (+ 1 (* -1 y))))>
#<alt (+ y (* x (+ 1 (* -1 y))))>
#<alt (+ y (* x (+ 1 (* -1 y))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* y (+ 1 x))))>
#<alt (+ (* -1 x) (* y (+ (* -1 y) (* -1 (+ 1 x)))))>
#<alt (+ (* -1 x) (* y (+ (* -1 y) (* -1 (+ 1 x)))))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ x (/ x y))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ x (/ x y))) y)) 1))>
#<alt (* -1 (* y (+ 1 y)))>
#<alt (+ (* -1 (* x (+ 1 y))) (* -1 (* y (+ 1 y))))>
#<alt (+ (* -1 (* x (+ 1 y))) (* -1 (* y (+ 1 y))))>
#<alt (+ (* -1 (* x (+ 1 y))) (* -1 (* y (+ 1 y))))>
#<alt (* -1 (* x (+ 1 y)))>
#<alt (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))>
#<alt (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))>
#<alt (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))>
#<alt (* -1 (* x (+ 1 y)))>
#<alt (* -1 (* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))))>
#<alt (* -1 (* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))))>
#<alt (* -1 (* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))))>

Calls

54 calls:

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

rewrite894.0ms (11.3%)

Memory

7.3MiB live, 445.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 962×	`/-lowering-/.f32`
4 962×	`/-lowering-/.f64`
4 278×	`-lowering-.f32`
4 278×	`-lowering-.f64`
3 660×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	70
1	162	68
2	1560	68
0	8555	67

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 795

Calls

Call 1

Inputs
(/ (- (* 0 (- -1 y)) (* (- -1 y) (+ x y))) (* (+ y 1) (+ y 1)))
(* 0 (- -1 y))
(- (* 0 (- -1 y)) (* (- -1 y) (+ x y)))
(* (+ y 1) (+ y 1))
(+ (* y (- 1 x)) x)
(- 1 x)
(/ y (+ y 1))
(+ y 1)
(+ 1 (/ (+ x -1) y))
(/ (+ x -1) y)
(+ x -1)
(* (- -1 y) (+ x y))

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

simplify663.0ms (8.4%)

Memory

-22.3MiB live, 876.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 166×	`accelerator-lowering-fma.f32`
16 166×	`accelerator-lowering-fma.f64`
3 626×	`-lowering-.f32`
3 626×	`-lowering-.f64`
3 516×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1511
1	696	1406
2	2018	1279
3	7761	1275
0	9096	1229

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ x y)) (/ 1 y))) (* -2 (/ (- x 1) y))) y)))
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- (+ 1 (* -1 x)) (* -2 (- x 1)))) (/ 1 y)) (+ (* -2 (/ (- (+ 1 (* -1 x)) (* -2 (- x 1))) y)) (/ x y))) y))) y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
0
0
0
0
0
0
0
0
0
0
0
0
x
(- (* y (+ 1 x)) (* -1 x))
(- (* y (- y (* -1 (+ 1 x)))) (* -1 x))
(- (* y (- y (* -1 (+ 1 x)))) (* -1 x))
(pow y 2)
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ x y))))
(* (pow y 2) (- (+ 1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))))
(* (pow y 2) (- (+ 1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ x y)) (+ 1 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ x y)) (+ 1 x)) y))))
(* y (+ 1 y))
(- (* x (+ 1 y)) (* -1 (* y (+ 1 y))))
(- (* x (+ 1 y)) (* -1 (* y (+ 1 y))))
(- (* x (+ 1 y)) (* -1 (* y (+ 1 y))))
(* x (+ 1 y))
(* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))
(* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))
(* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))
(* x (+ 1 y))
(* -1 (* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))))
(* -1 (* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))))
(* -1 (* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))))
1
(+ 1 (* 2 y))
(+ 1 (* y (+ 2 y)))
(+ 1 (* y (+ 2 y)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ 1 (pow y 2)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
y
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 x)
(+ (* -1 x) (* -1 (* y (+ 1 x))))
(+ (* -1 x) (* y (+ (* -1 y) (* -1 (+ 1 x)))))
(+ (* -1 x) (* y (+ (* -1 y) (* -1 (+ 1 x)))))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))) 1))
(* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (* -1 (/ (+ 1 x) y))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ 1 (+ x (/ x y))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ 1 (+ x (/ x y))) y)) 1))
(* -1 (* y (+ 1 y)))
(+ (* -1 (* x (+ 1 y))) (* -1 (* y (+ 1 y))))
(+ (* -1 (* x (+ 1 y))) (* -1 (* y (+ 1 y))))
(+ (* -1 (* x (+ 1 y))) (* -1 (* y (+ 1 y))))
(* -1 (* x (+ 1 y)))
(* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))
(* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))
(* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))
(* -1 (* x (+ 1 y)))
(* -1 (* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))))
(* -1 (* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))))
(* -1 (* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))))

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

eval212.0ms (2.7%)

Memory: -1.4MiB live, 304.4MiB allocated
Compiler: Compiled 31 913 to 2 929 computations (90.8% saved)

prune131.0ms (1.7%)

Memory

38.1MiB live, 310.5MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 109	6	1 115
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	1 113	10	1 123

Accuracy

100.0%

Counts

1 123 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.9%	(fma.f64 y (neg.f64 x) x)
▶	51.8%	(fma.f64 y #s(literal 1 binary64) x)
✓	49.7%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶	52.2%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
	13.3%	(/.f64 x y)
	12.2%	(-.f64 y (*.f64 y y))
▶	50.3%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	12.6%	y
▶	42.1%	x
✓	39.8%	#s(literal 1 binary64)

Compiler

Compiled 100 to 66 computations (34% saved)

simplify45.0ms (0.6%)

Memory

-10.8MiB live, 77.6MiB 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 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) x)
✓	cost-diff	192	(fma.f64 y #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 y #s(literal 1 binary64)))

Rules

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
136×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	668	38
9	858	38
10	887	38
11	893	38
12	899	38
13	901	38
0	901	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (+ y 1))
x
(+ y 1)
y
1
x
(+ (* y 1) x)
y
1
x
(+ (* y (neg x)) x)
y
(neg x)
x
(+ 1 (/ x y))
1
(/ x y)
x
y

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

localize41.0ms (0.5%)

Memory

-11.9MiB live, 111.4MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

28.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 6.0ms (39.5% of total)

ival-add: 5.0ms (32.9% of total)

ival-mult: 3.0ms (19.7% of total)

ival-neg: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-20.9MiB live, 17.6MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (/ x (+ y 1))>
#<alt (+ y 1)>
#<alt (+ (* y 1) x)>
#<alt (+ (* y (neg x)) x)>
#<alt (neg x)>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ x y)
1.0ms	x	@	inf	(/ x (+ y 1))
1.0ms	x	@	inf	(+ (* y (neg x)) x)
0.0ms	x	@	0	(/ x (+ y 1))
0.0ms	x	@	0	(+ (* y (neg x)) x)

rewrite373.0ms (4.7%)

Memory

42.6MiB live, 430.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 518×	`accelerator-lowering-fma.f32`
6 518×	`accelerator-lowering-fma.f64`
4 168×	`-lowering-.f32`
4 168×	`-lowering-.f64`
3 600×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	86	26
2	629	26
0	8883	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 398

Calls

Call 1

Inputs
(/ x (+ y 1))
(+ y 1)
(+ (* y 1) x)
(+ (* y (neg x)) x)
(neg x)
(+ 1 (/ x y))
(/ x y)

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

simplify364.0ms (4.6%)

Memory

-25.3MiB live, 411.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 830×	`accelerator-lowering-fma.f32`
8 830×	`accelerator-lowering-fma.f64`
2 544×	`-lowering-.f32`
2 544×	`-lowering-.f64`
1 658×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	604
1	241	570
2	508	562
3	1729	560
4	6087	560
0	8223	558

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval62.0ms (0.8%)

Memory: 28.0MiB live, 141.5MiB allocated
Compiler: Compiled 8 593 to 1 052 computations (87.8% saved)

prune77.0ms (1%)

Memory

-20.7MiB live, 128.0MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	541	1	542
Fresh	0	3	3
Picked	1	4	5
Done	0	2	2
Total	542	10	552

Accuracy

100.0%

Counts

552 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.9%	(fma.f64 y (neg.f64 x) x)
✓	49.7%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	52.2%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	13.3%	(/.f64 x y)
▶	12.2%	(-.f64 y (*.f64 y y))
▶	51.8%	(+.f64 y x)
✓	50.3%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶	12.6%	y
✓	42.1%	x
✓	39.8%	#s(literal 1 binary64)

Compiler

Compiled 54 to 36 computations (33.3% saved)

simplify55.0ms (0.7%)

Memory

-26.0MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(-.f64 y (*.f64 y y))
✓	cost-diff	(+.f64 y x)

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
168×	`-lowering-.f32`
168×	`-lowering-.f64`
88×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	12	20
2	23	20
3	37	20
4	62	20
5	122	20
6	195	20
7	242	20
8	283	20
9	320	20
10	381	20
11	459	20
12	530	20
13	532	20
14	546	20
15	558	20
0	558	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
y
(+ y x)
(+.f64 y x)
y
x
(- y (* y y))
(-.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(/ x y)
(/.f64 x y)
x
y

localize29.0ms (0.4%)

Memory

-0.8MiB live, 37.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-div: 2.0ms (30.2% of total)

ival-mult: 2.0ms (30.2% of total)

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

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

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

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

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ y x)>
#<alt (- y (* y y))>
#<alt (* y y)>
#<alt (/ x y)>

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

Calls

18 calls:

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

rewrite423.0ms (5.4%)

Memory

12.6MiB live, 564.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 138×	`accelerator-lowering-fma.f32`
6 138×	`accelerator-lowering-fma.f64`
4 144×	`/-lowering-/.f32`
4 144×	`/-lowering-/.f64`
3 228×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	43	14
2	311	14
3	2799	14
0	8973	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 419

Calls

Call 1

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

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

simplify309.0ms (3.9%)

Memory

10.4MiB live, 436.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 812×	`accelerator-lowering-fma.f32`
4 812×	`accelerator-lowering-fma.f64`
4 792×	`-lowering-.f32`
4 792×	`-lowering-.f64`
1 228×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	231
1	78	222
2	160	222
3	479	222
4	1304	222
5	2450	222
6	3515	222
7	4311	222
8	5408	222
9	6489	222
10	7072	222
11	7658	222
0	8044	222

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval68.0ms (0.9%)

Memory: 23.1MiB live, 138.5MiB allocated
Compiler: Compiled 13 990 to 1 108 computations (92.1% saved)

prune98.0ms (1.2%)

Memory

-8.1MiB live, 163.7MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	489	2	491
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	489	12	501

Accuracy

100.0%

Counts

501 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.9%	(fma.f64 y (neg.f64 x) x)
	12.9%	(fma.f64 y y y)
✓	49.7%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	52.2%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	13.3%	(/.f64 x y)
✓	12.2%	(-.f64 y (*.f64 y y))
✓	51.8%	(+.f64 y x)
✓	50.3%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	2.5%	(*.f64 y (neg.f64 y))
✓	12.6%	y
✓	42.1%	x
✓	39.8%	#s(literal 1 binary64)

Compiler

Compiled 160 to 76 computations (52.5% saved)

regimes94.0ms (1.2%)

Memory

-8.1MiB live, 30.5MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 y y y)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))

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

Calls

3 calls:

81.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
6.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory

-11.8MiB live, 30.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
5.0ms	x
5.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
79.0%	3	`x`
99.4%	3	`y`
99.3%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-16.6MiB live, 19.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	y

Results

Accuracy	Segments	Branch
88.3%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
88.4%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.2%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
88.2%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y

Outputs
x
y
#s(literal 1 binary64)
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.7%	3	`x`
78.1%	3	`y`
79.7%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

-31.9MiB live, 5.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x
#s(literal 1 binary64)
x

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
78.1%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
39.8%	1	`x`
39.8%	1	`y`
39.8%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch30.0ms (0.4%)

Memory

-15.4MiB live, 67.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.002455483667739817	13739269524283.715
13.0ms	-2053297308.453854	-3.5670108091573956e-11

Samples

13.0ms

336×

valid

Compiler

Compiled 411 to 305 computations (25.8% saved)

Precisions

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

ival-add: 3.0ms (47.8% of total)

ival-div: 2.0ms (31.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Memory

20.9MiB live, 59.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.002455483667739817	13739269524283.715
13.0ms	-2053297308.453854	-3.5670108091573956e-11

Samples

14.0ms

336×

valid

Compiler

Compiled 369 to 263 computations (28.7% saved)

Precisions

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

ival-add: 3.0ms (49.9% of total)

ival-div: 2.0ms (33.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Memory

-11.0MiB live, 65.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.002455483667739817	13739269524283.715
14.0ms	-2053297308.453854	-3.5670108091573956e-11

Samples

15.0ms

336×

valid

Compiler

Compiled 285 to 221 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 5.0ms (65.5% of total)

ival-div: 2.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000004870215	163697526962.02536
0.0ms	0.0024494690365259933	0.9993472624279662

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000004870215	163697526962.02536
0.0ms	0.0024494690365259933	0.9993472624279662
0.0ms	9.02342186092125e-96	3.0430288159717845e-91

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000004870215	163697526962.02536
0.0ms	7.219866078150459e-28	5.801301823704842e-13

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.1%)

Memory

24.7MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	148
1	58	148
2	61	148
3	63	148
4	64	148

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) y (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 348449143727041/348449143727040986586495598010130648530944 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 x y) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) y (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 348449143727041/348449143727040986586495598010130648530944 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness792.0ms (10%)

Memory

-15.1MiB live, 585.4MiB allocated

Rules

16 166×	`accelerator-lowering-fma.f32`
16 166×	`accelerator-lowering-fma.f64`
12 130×	`accelerator-lowering-fma.f32`
12 130×	`accelerator-lowering-fma.f64`
6 518×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	86	26
2	629	26
0	8883	26
0	220	1511
1	696	1406
2	2018	1279
3	7761	1275
0	9096	1229
0	88	362
1	263	358
2	670	338
3	2440	308
0	8253	300

Stop Event

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

Compiler

Compiled 263 to 111 computations (57.8% saved)

preprocess81.0ms (1%)

Memory: -6.7MiB live, 109.6MiB allocated
Compiler: Compiled 338 to 86 computations (74.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	668	38
9	858	38
10	887	38
11	893	38
12	899	38
13	901	38
0	901	38

Iter	Nodes	Cost
0	6	20
1	12	20
2	23	20
3	37	20
4	62	20
5	122	20
6	195	20
7	242	20
8	283	20
9	320	20
10	381	20
11	459	20
12	530	20
13	532	20
14	546	20
15	558	20
0	558	20

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	668	38
9	858	38
10	887	38
11	893	38
12	899	38
13	901	38
0	901	38

Iter	Nodes	Cost
0	6	20
1	12	20
2	23	20
3	37	20
4	62	20
5	122	20
6	195	20
7	242	20
8	283	20
9	320	20
10	381	20
11	459	20
12	530	20
13	532	20
14	546	20
15	558	20
0	558	20

analyze11.0ms (0.1%)

sample1.2s (14.6%)

preprocess57.0ms (0.7%)

explain101.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize19.0ms (0.2%)

series3.0ms (0%)

rewrite486.0ms (6.2%)

simplify348.0ms (4.4%)

eval61.0ms (0.8%)

prune260.0ms (3.3%)

simplify341.0ms (4.3%)

localize62.0ms (0.8%)

series11.0ms (0.1%)

rewrite894.0ms (11.3%)

simplify663.0ms (8.4%)

eval212.0ms (2.7%)

prune131.0ms (1.7%)

simplify45.0ms (0.6%)

localize41.0ms (0.5%)

series8.0ms (0.1%)

rewrite373.0ms (4.7%)

simplify364.0ms (4.6%)

eval62.0ms (0.8%)

prune77.0ms (1%)

simplify55.0ms (0.7%)

localize29.0ms (0.4%)

series1.0ms (0%)

rewrite423.0ms (5.4%)

simplify309.0ms (3.9%)

eval68.0ms (0.9%)

prune98.0ms (1.2%)

regimes94.0ms (1.2%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch30.0ms (0.4%)

bsearch28.0ms (0.4%)

bsearch29.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness792.0ms (10%)

preprocess81.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	668	38
9	858	38
10	887	38
11	893	38
12	899	38
13	901	38
0	901	38

Iter	Nodes	Cost
0	6	20
1	12	20
2	23	20
3	37	20
4	62	20
5	122	20
6	195	20
7	242	20
8	283	20
9	320	20
10	381	20
11	459	20
12	530	20
13	532	20
14	546	20
15	558	20
0	558	20