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

analyze12.0ms (0.1%)

Memory

-21.9MiB live, 20.0MiB 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)

sample656.0ms (6.4%)

Memory

24.4MiB live, 1 042.8MiB allocated

Samples

404.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-div: 98.0ms (47.5% of total)

ival-add: 95.0ms (46.1% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess58.0ms (0.6%)

Memory

8.5MiB live, 44.0MiB allocated

Algorithm

2×	egg-herbie

Rules

452×	`times-frac`
348×	`associate-r`
298×	`div-sub`
238×	`unsub-neg`
238×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	44	42
2	88	42
3	206	42
4	578	42
5	1217	42
6	1643	42
7	2026	42
8	2162	42
9	2229	42
10	2233	42
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)))

Call 2

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

Outputs
(/ (+ x y) (+ y 1))
(/ (+ (neg x) y) (+ y 1))
(/ (- y x) (+ y 1))
(/ (+ x (neg y)) (+ (neg y) 1))
(/ (- y x) (+ y -1))
(neg (/ (+ (neg x) y) (+ y 1)))
(/ (- y x) (- -1 y))
(neg (/ (+ x (neg y)) (+ (neg y) 1)))
(/ (- y x) (- 1 y))
(/ (+ y x) (+ x 1))
(/ (+ x y) (+ x 1))

explain75.0ms (0.7%)

Memory

-24.3MiB live, 145.6MiB 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

24.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (52.9% of total)

ival-div: 3.0ms (31.7% 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

1.9MiB live, 1.9MiB 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)

simplify4.0ms (0%)

Memory

10.4MiB live, 10.4MiB 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)

localize21.0ms (0.2%)

Memory

5.6MiB live, 49.7MiB 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

15.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 5.0ms (59.6% of total)

ival-add: 3.0ms (35.8% 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

11.8MiB live, 11.8MiB 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))

rewrite466.0ms (4.6%)

Memory

-23.1MiB live, 628.6MiB 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 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 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 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 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 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) (-.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) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (-.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)))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (.f64 y y)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (.f64 y y)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (.f64 y y)) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 (/.f64 y #s(literal 1 binary64)) #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)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) y)))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(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) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #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 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (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 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.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 (+.f64 y #s(literal 1 binary64)) #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 (+.f64 y #s(literal 1 binary64)) #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) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y 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 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 y (.f64 y y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (/.f64 (+.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)))

simplify537.0ms (5.3%)

Memory

7.2MiB live, 595.0MiB 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)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x) #s(literal 0 binary64))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.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))))
(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))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (/.f64 x (.f64 y (.f64 y y))) (-.f64 (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)) (/.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)))
(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))
(+ 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))

eval178.0ms (1.7%)

Memory: 5.2MiB live, 124.0MiB allocated
Compiler: Compiled 12 913 to 1 471 computations (88.6% saved)

prune79.0ms (0.8%)

Memory

-17.1MiB live, 141.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	521	10	531
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	521	11	532

Accuracy

100.0%

Counts

532 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) x)
▶	55.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	45.2%	(/.f64 (+.f64 x y) y)
	55.2%	(/.f64 (+.f64 x y) #s(literal 1 binary64))
▶	76.2%	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
▶	56.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
	45.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
	45.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	37.0%	x
▶	37.1%	#s(literal 1 binary64)

Compiler

Compiled 165 to 110 computations (33.3% saved)

simplify512.0ms (5%)

Memory

44.5MiB live, 715.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) y)
✓	cost-diff	0	(+.f64 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	0	(fma.f64 y y #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	768	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))

Rules

14 092×	`accelerator-lowering-fma.f32`
14 092×	`accelerator-lowering-fma.f64`
3 488×	`+-lowering-+.f64`
3 488×	`+-lowering-+.f32`
2 804×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	37	68
2	87	64
3	209	62
4	443	62
5	1550	62
6	7767	62
0	8323	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize54.0ms (0.5%)

Memory

-30.3MiB live, 124.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) y)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	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)))
✓	accuracy	76.9%	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 7.0ms (38.1% of total)

ival-div: 5.0ms (27.2% of total)

ival-mult: 5.0ms (27.2% of total)

ival-sub: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

10 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite802.0ms (7.9%)

Memory

-48.3MiB live, 816.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 524×	`accelerator-lowering-fma.f32`
8 524×	`accelerator-lowering-fma.f64`
4 900×	`-lowering-.f32`
4 900×	`-lowering-.f64`
3 946×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	117	50
2	1035	48
0	8492	46

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 071

Calls

Call 1

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

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

simplify1.3s (12.6%)

Memory

42.2MiB live, 674.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 118×	`accelerator-lowering-fma.f32`
15 118×	`accelerator-lowering-fma.f64`
3 602×	`-lowering-.f32`
3 602×	`-lowering-.f64`
2 684×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1191
1	517	1059
2	1541	1025
3	5607	959
0	8305	925

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval365.0ms (3.6%)

Memory: 11.9MiB live, 316.6MiB allocated
Compiler: Compiled 28 383 to 2 830 computations (90% saved)

prune198.0ms (1.9%)

Memory

-21.2MiB live, 389.3MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 328	8	1 336
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	1 333	14	1 347

Accuracy

100.0%

Counts

1 347 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (+.f64 y #s(literal -1 binary64))) x)
	19.7%	(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	55.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
▶	55.2%	(fma.f64 y #s(literal 1 binary64) x)
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	56.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶	45.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	11.8%	(/.f64 x y)
	45.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	20.3%	(*.f64 y (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	36.8%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
	20.2%	y
▶	37.0%	x
✓	37.1%	#s(literal 1 binary64)

Compiler

Compiled 169 to 113 computations (33.1% saved)

simplify43.0ms (0.4%)

Memory

-11.7MiB live, 67.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	-64	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	192	(fma.f64 y #s(literal 1 binary64) x)

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
126×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	19	34
2	39	34
3	65	34
4	123	34
5	176	34
6	236	34
7	329	34
8	400	34
9	497	34
10	676	34
11	877	34
12	893	34
13	897	34
14	903	34
15	905	34
0	905	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.3%)

Memory

31.8MiB live, 109.6MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

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

ival-mult: 4.0ms (32.7% of total)

ival-div: 3.0ms (24.5% of total)

ival-sub: 2.0ms (16.4% of total)

ival-add: 2.0ms (16.4% 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

-15.8MiB live, 23.4MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite630.0ms (6.2%)

Memory

2.0MiB live, 849.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 988×	`-lowering-.f32`
6 988×	`-lowering-.f64`
4 482×	`/-lowering-/.f32`
4 482×	`/-lowering-/.f64`
4 232×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	67	22
2	408	22
3	4295	22
0	13351	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 978

Calls

Call 1

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

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

simplify593.0ms (5.8%)

Memory

20.6MiB live, 479.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 366×	`accelerator-lowering-fma.f32`
11 366×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`
3 070×	`-lowering-.f64`
1 386×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	488
1	232	476
2	512	468
3	1656	466
4	5205	466
5	7744	466
0	8021	464

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval462.0ms (4.5%)

Memory: -27.2MiB live, 258.4MiB allocated
Compiler: Compiled 29 365 to 2 306 computations (92.1% saved)

prune232.0ms (2.3%)

Memory

22.1MiB live, 300.3MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 096	2	1 098
Fresh	0	5	5
Picked	1	4	5
Done	0	4	4
Total	1 097	15	1 112

Accuracy

100.0%

Counts

1 112 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (+.f64 y #s(literal -1 binary64))) x)
▶	19.7%	(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	55.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	56.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	45.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	11.8%	(/.f64 x y)
▶	55.2%	(+.f64 y x)
▶	45.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶	37.1%	(*.f64 (+.f64 y #s(literal 1 binary64)) x)
	20.3%	(*.f64 y (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	36.8%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	20.2%	y
✓	37.0%	x
✓	37.1%	#s(literal 1 binary64)

Compiler

Compiled 159 to 106 computations (33.3% saved)

simplify41.0ms (0.4%)

Memory

6.0MiB live, 43.9MiB 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	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (+.f64 y #s(literal 1 binary64)) x)
✓	cost-diff	0	(+.f64 y x)

Rules

448×	`accelerator-lowering-fma.f32`
448×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
144×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	21	39
2	40	39
3	59	39
4	112	39
5	188	39
6	253	39
7	292	39
8	366	39
9	417	39
10	582	39
11	701	39
12	719	39
13	739	39
14	746	39
0	746	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize78.0ms (0.8%)

Memory

5.9MiB live, 83.2MiB 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%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(+.f64 y x)

Samples

27.0ms

256×

valid

Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (41.5% of total)

ival-add: 5.0ms (34.6% of total)

ival-div: 2.0ms (13.8% of total)

ival-sub: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-29.8MiB live, 8.2MiB allocated

Counts

7 → 132

Calls

Call 1

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

33 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ 1 (/ x y))
0.0ms	x	@	inf	(* (+ y 1) x)
0.0ms	y	@	-inf	(+ (* y (- 1 y)) 0)
0.0ms	x	@	-inf	(* (+ y 1) x)
0.0ms	y	@	0	(+ (* y (- 1 y)) 0)

rewrite382.0ms (3.7%)

Memory

-5.3MiB live, 638.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 410×	`accelerator-lowering-fma.f32`
6 410×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
3 564×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	80	27
2	719	27
0	8288	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 662

Calls

Call 1

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

simplify326.0ms (3.2%)

Memory

16.4MiB live, 532.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 590×	`-lowering-.f32`
4 590×	`-lowering-.f64`
3 722×	`accelerator-lowering-fma.f32`
3 722×	`accelerator-lowering-fma.f64`
2 048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	480
1	144	462
2	303	462
3	755	462
4	2043	462
5	3814	462
6	5173	462
7	6521	462
8	7873	462
0	8177	441

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval112.0ms (1.1%)

Memory: -17.4MiB live, 271.0MiB allocated
Compiler: Compiled 16 728 to 1 448 computations (91.3% saved)

prune95.0ms (0.9%)

Memory

14.7MiB live, 294.5MiB allocated

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	790	4	794
Fresh	0	2	2
Picked	2	3	5
Done	0	8	8
Total	792	17	809

Accuracy

100.0%

Counts

809 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.7%	(fma.f64 (-.f64 #s(literal 0 binary64) y) y y)
	55.2%	(fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (+.f64 y #s(literal -1 binary64))) x)
✓	55.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
	37.1%	(fma.f64 y x x)
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	56.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	45.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	11.8%	(/.f64 x y)
✓	55.2%	(+.f64 y x)
✓	45.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	19.7%	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
	20.3%	(*.f64 y (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
	3.8%	(*.f64 y x)
✓	36.8%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	20.2%	y
✓	37.0%	x
✓	37.1%	#s(literal 1 binary64)

Compiler

Compiled 253 to 116 computations (54.2% saved)

regimes26.0ms (0.3%)

Memory

-5.6MiB live, 70.7MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
8.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
8.0ms	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)

regimes23.0ms (0.2%)

Memory

26.0MiB live, 66.3MiB allocated

Counts

20 → 3

Calls

Call 1

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

9.0ms	y
6.0ms	x
6.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
81.7%	3	`x`
97.4%	3	`y`
98.8%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes100.0ms (1%)

Memory

-8.1MiB live, 30.0MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

2 calls:

93.0ms	y
6.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
96.9%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-14.0MiB live, 23.8MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

2 calls:

10.0ms	y
5.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.9%	3	`y`
97.5%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
88.7%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
88.8%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-10.8MiB live, 26.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
88.6%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
88.6%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
88.6%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-36.2MiB live, 14.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y

Results

Accuracy	Segments	Branch
88.6%	3	`y`
88.5%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
59.2%	5	`x`
78.4%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
72.0%	4	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)
x
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.4%	3	`y`
70.1%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-24.1MiB live, 13.3MiB 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:

3.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
37.1%	1	`x`
37.1%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
37.1%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch22.0ms (0.2%)

Memory

29.5MiB live, 67.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.010596707753008344	14.88332223928426
10.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

12.0ms

272×

valid

Compiler

Compiled 335 to 249 computations (25.7% saved)

Precisions

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

ival-add: 4.0ms (63.9% 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)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000008161404077	1208202034064846.8
0.0ms	1.712105355884578e-6	5.5974267541389626e-5
0.0ms	-2.8436068647400886e+34	-2.864791724789067e+24

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch27.0ms (0.3%)

Memory

-19.8MiB live, 58.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.010596707753008344	14.88332223928426
11.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

10.0ms

272×

valid

Compiler

Compiled 301 to 215 computations (28.6% saved)

Precisions

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

ival-div: 2.0ms (42.1% of total)

ival-add: 2.0ms (42.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

21.3MiB live, 59.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.010596707753008344	14.88332223928426
12.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

12.0ms

272×

valid

Compiler

Compiled 233 to 181 computations (22.3% saved)

Precisions

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

ival-add: 4.0ms (63.4% of total)

ival-div: 2.0ms (31.7% 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

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000008161404077	1208202034064846.8
0.0ms	0.10944802715136402	0.9370408794246649

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000008161404077	1208202034064846.8
0.0ms	0.10944802715136402	0.9370408794246649

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch24.0ms (0.2%)

Memory

-9.2MiB live, 65.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.010596707753008344	14.88332223928426
11.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

13.0ms

272×

valid

Compiler

Compiled 182 to 147 computations (19.2% saved)

Precisions

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

ival-div: 4.0ms (55.6% of total)

ival-add: 3.0ms (41.7% 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

1.9MiB live, 1.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000008161404077	1208202034064846.8
0.0ms	0.010485594967521107	0.10944802715136402
0.0ms	-5.595875280415411e-6	-1.850131059914453e-10

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch29.0ms (0.3%)

Memory

21.2MiB live, 57.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.037073611152793e-8	5.5977400835400255e-5
19.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

19.0ms

272×

valid

Compiler

Compiled 148 to 130 computations (12.2% saved)

Precisions

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

ival-div: 2.0ms (42.5% of total)

ival-add: 2.0ms (42.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

-7.7MiB live, 30.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	229
1	87	229
2	90	229
3	92	229
4	93	229

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 2296835809958953/2251799813685248 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 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -19999999999999998911504619740856320 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4722366482869645/2361183241434822606848 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 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 3602879701896397/18014398509481984 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 y x x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3433994715870003/562949953421312 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -5902958103587057/1180591620717411303424 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3984496719921263/73786976294838206464 binary64)) x #s(literal 1 binary64)))
#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 2296835809958953/2251799813685248 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 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -19999999999999998911504619740856320 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4722366482869645/2361183241434822606848 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -19999999999999998911504619740856320 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4722366482869645/2361183241434822606848 binary64)) (+.f64 x y) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 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 3602879701896397/18014398509481984 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 x y) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 y x x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 x y) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 y x x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3433994715870003/562949953421312 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3433994715870003/562949953421312 binary64)) (+.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -5902958103587057/1180591620717411303424 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3984496719921263/73786976294838206464 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.4s (13.3%)

Memory

7.9MiB live, 886.7MiB allocated

Rules

15 118×	`accelerator-lowering-fma.f32`
15 118×	`accelerator-lowering-fma.f64`
12 130×	`accelerator-lowering-fma.f32`
12 130×	`accelerator-lowering-fma.f64`
6 988×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	67	22
2	408	22
3	4295	22
0	13351	22
0	12	27
1	80	27
2	719	27
0	8288	26
0	167	1191
1	517	1059
2	1541	1025
3	5607	959
0	8305	925
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
1×	iter limit
1×	node limit

Compiler

Compiled 456 to 208 computations (54.4% saved)

preprocess114.0ms (1.1%)

Memory: -16.2MiB live, 186.9MiB allocated
Compiler: Compiled 500 to 132 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	34
1	19	34
2	39	34
3	65	34
4	123	34
5	176	34
6	236	34
7	329	34
8	400	34
9	497	34
10	676	34
11	877	34
12	893	34
13	897	34
14	903	34
15	905	34
0	905	34

Iter	Nodes	Cost
0	12	39
1	21	39
2	40	39
3	59	39
4	112	39
5	188	39
6	253	39
7	292	39
8	366	39
9	417	39
10	582	39
11	701	39
12	719	39
13	739	39
14	746	39
0	746	38

Iter	Nodes	Cost
0	10	34
1	19	34
2	39	34
3	65	34
4	123	34
5	176	34
6	236	34
7	329	34
8	400	34
9	497	34
10	676	34
11	877	34
12	893	34
13	897	34
14	903	34
15	905	34
0	905	34

Iter	Nodes	Cost
0	12	39
1	21	39
2	40	39
3	59	39
4	112	39
5	188	39
6	253	39
7	292	39
8	366	39
9	417	39
10	582	39
11	701	39
12	719	39
13	739	39
14	746	39
0	746	38

analyze12.0ms (0.1%)

sample656.0ms (6.4%)

preprocess58.0ms (0.6%)

explain75.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize21.0ms (0.2%)

series3.0ms (0%)

rewrite466.0ms (4.6%)

simplify537.0ms (5.3%)

eval178.0ms (1.7%)

prune79.0ms (0.8%)

simplify512.0ms (5%)

localize54.0ms (0.5%)

series11.0ms (0.1%)

rewrite802.0ms (7.9%)

simplify1.3s (12.6%)

eval365.0ms (3.6%)

prune198.0ms (1.9%)

simplify43.0ms (0.4%)

localize34.0ms (0.3%)

series8.0ms (0.1%)

rewrite630.0ms (6.2%)

simplify593.0ms (5.8%)

eval462.0ms (4.5%)

prune232.0ms (2.3%)

simplify41.0ms (0.4%)

localize78.0ms (0.8%)

series7.0ms (0.1%)

rewrite382.0ms (3.7%)

simplify326.0ms (3.2%)

eval112.0ms (1.1%)

prune95.0ms (0.9%)

regimes26.0ms (0.3%)

regimes23.0ms (0.2%)

regimes100.0ms (1%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.2%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

simplify13.0ms (0.1%)

soundness1.4s (13.3%)

preprocess114.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	34
1	19	34
2	39	34
3	65	34
4	123	34
5	176	34
6	236	34
7	329	34
8	400	34
9	497	34
10	676	34
11	877	34
12	893	34
13	897	34
14	903	34
15	905	34
0	905	34

Iter	Nodes	Cost
0	12	39
1	21	39
2	40	39
3	59	39
4	112	39
5	188	39
6	253	39
7	292	39
8	366	39
9	417	39
10	582	39
11	701	39
12	719	39
13	739	39
14	746	39
0	746	38