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

analyze10.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB 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)

sample772.0ms (9.9%)

Memory

-9.4MiB live, 934.4MiB allocated

Samples

510.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-div: 161.0ms (54.1% of total)

ival-add: 124.0ms (41.7% of total)

exact: 5.0ms (1.7% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess61.0ms (0.8%)

Memory

-3.2MiB live, 36.3MiB 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 (1%)

Memory

27.3MiB live, 104.8MiB 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

22.0ms

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 (54.2% of total)

ival-div: 3.0ms (32.5% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify12.0ms (0.2%)

Memory

-36.6MiB live, 4.7MiB 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)

localize20.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB 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

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 4.0ms (55.3% of total)

ival-add: 2.0ms (27.6% 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

5.1MiB live, 5.1MiB 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
1.0ms	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))

rewrite465.0ms (6%)

Memory

-0.6MiB live, 672.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 471

Calls

Call 1

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

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

simplify460.0ms (5.9%)

Memory

-34.7MiB live, 508.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval334.0ms (4.3%)

Memory: 20.4MiB live, 97.8MiB allocated
Compiler: Compiled 12 712 to 1 478 computations (88.4% saved)

prune141.0ms (1.8%)

Memory

9.2MiB live, 123.1MiB 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 (-.f64 (*.f64 y x) y) (+.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 163 to 108 computations (33.7% saved)

simplify505.0ms (6.5%)

Memory

-13.5MiB live, 475.1MiB 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	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	704	(/.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))
(*.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)
(+ (* 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

localize89.0ms (1.1%)

Memory

-2.2MiB live, 117.1MiB 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

71.0ms

256×

valid

Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 22.0ms (64.9% of total)

ival-add: 6.0ms (17.7% of total)

ival-mult: 4.0ms (11.8% of total)

ival-sub: 1.0ms (2.9% 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

-0.8MiB live, 37.9MiB allocated

Counts

9 → 168

Calls

Call 1

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

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 (- 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))))>
#<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 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))>

Calls

42 calls:

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

rewrite383.0ms (4.9%)

Memory

-8.9MiB live, 670.9MiB 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	49
1	117	45
2	1035	43
0	8492	42

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 937

Calls

Call 1

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

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

simplify351.0ms (4.5%)

Memory

44.5MiB live, 626.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 886×	`accelerator-lowering-fma.f32`
14 886×	`accelerator-lowering-fma.f64`
3 564×	`-lowering-.f32`
3 564×	`-lowering-.f64`
2 668×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1139
1	512	1007
2	1527	973
3	5571	907
0	8213	882

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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 (- 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))))
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)))
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))

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

eval154.0ms (2%)

Memory: -2.0MiB live, 309.9MiB allocated
Compiler: Compiled 24 444 to 2 502 computations (89.8% saved)

prune202.0ms (2.6%)

Memory

6.4MiB live, 279.9MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 183	7	1 190
Fresh	2	3	5
Picked	3	2	5
Done	0	1	1
Total	1 188	13	1 201

Accuracy

100.0%

Counts

1 201 → 13

Alt Table

Click to see full alt table

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

Compiler

Compiled 159 to 102 computations (35.8% saved)

simplify36.0ms (0.5%)

Memory

-0.5MiB live, 37.6MiB 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	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 y (*.f64 y y))
✓	cost-diff	192	(fma.f64 y #s(literal 1 binary64) x)

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
232×	`-lowering-.f32`
232×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	21	32
2	46	32
3	67	32
4	88	32
5	153	32
6	192	32
7	244	32
8	294	32
9	348	32
10	440	32
11	602	32
12	754	32
13	768	32
14	792	32
15	816	32
0	816	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y 1) x)
y
1
x
x
(- y (* y y))
y
(* y 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
(- y (* y y))
(-.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y 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)

localize167.0ms (2.2%)

Memory

-48.9MiB live, 56.0MiB 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 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	100.0%	(fma.f64 y #s(literal 1 binary64) x)

Samples

28.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-mult: 5.0ms (39.3% of total)

ival-div: 3.0ms (23.6% of total)

ival-add: 2.0ms (15.7% of total)

ival-sub: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 108

Calls

Call 1

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

27 calls:

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

rewrite407.0ms (5.2%)

Memory

37.9MiB live, 505.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 864×	`accelerator-lowering-fma.f32`
8 864×	`accelerator-lowering-fma.f64`
4 280×	`-lowering-.f32`
4 280×	`-lowering-.f64`
2 684×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	72	22
2	462	22
3	4273	22
0	8269	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 420

Calls

Call 1

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

simplify434.0ms (5.6%)

Memory

-24.0MiB live, 526.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 934×	`accelerator-lowering-fma.f32`
11 934×	`accelerator-lowering-fma.f64`
3 360×	`-lowering-.f32`
3 360×	`-lowering-.f64`
1 636×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	442
1	211	420
2	438	412
3	1541	410
4	5561	410
0	8160	408

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

eval62.0ms (0.8%)

Memory: 10.2MiB live, 164.1MiB allocated
Compiler: Compiled 8 932 to 1 051 computations (88.2% saved)

prune75.0ms (1%)

Memory

-13.4MiB live, 197.2MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	526	2	528
Fresh	0	5	5
Picked	1	4	5
Done	0	3	3
Total	527	14	541

Accuracy

100.0%

Counts

541 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
	20.3%	(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
▶	36.8%	(fma.f64 y (neg.f64 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)
✓	19.7%	(-.f64 y (*.f64 y y))
▶	55.2%	(+.f64 y x)
▶	45.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶	2.5%	(*.f64 y (neg.f64 y))
▶	20.2%	y
✓	37.0%	x
✓	37.1%	#s(literal 1 binary64)

Compiler

Compiled 147 to 94 computations (36.1% saved)

simplify37.0ms (0.5%)

Memory

6.7MiB live, 81.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

344×	`accelerator-lowering-fma.f32`
344×	`accelerator-lowering-fma.f64`
216×	`-lowering-.f32`
216×	`-lowering-.f64`
164×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	27	33
2	42	33
3	62	33
4	89	33
5	145	33
6	201	33
7	327	33
8	389	33
9	536	33
10	668	33
11	685	33
12	711	33
13	821	33
14	825	33
0	825	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize110.0ms (1.4%)

Memory

28.3MiB live, 67.7MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 4.0ms (35.9% of total)

ival-mult: 3.0ms (26.9% of total)

ival-div: 2.0ms (18% of total)

ival-neg: 2.0ms (18% 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

5.5MiB live, 5.5MiB allocated

Counts

7 → 132

Calls

Call 1

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

Calls

33 calls:

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

rewrite408.0ms (5.2%)

Memory

-47.1MiB live, 494.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 072×	`accelerator-lowering-fma.f32`
6 072×	`accelerator-lowering-fma.f64`
3 496×	`-lowering-.f32`
3 496×	`-lowering-.f64`
2 888×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	65	24
2	484	24
3	7769	24
0	8151	24

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 320

Calls

Call 1

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

simplify477.0ms (6.1%)

Memory

33.9MiB live, 264.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 234×	`accelerator-lowering-fma.f32`
4 234×	`accelerator-lowering-fma.f64`
2 858×	`-lowering-.f32`
2 858×	`-lowering-.f64`
2 528×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	465
1	125	444
2	253	444
3	672	444
4	1617	444
5	2387	444
6	2843	444
7	3187	444
8	3326	444
9	3394	444
10	7133	444
0	8037	444

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

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

eval51.0ms (0.7%)

Memory: -9.0MiB live, 109.4MiB allocated
Compiler: Compiled 7 299 to 786 computations (89.2% saved)

prune78.0ms (1%)

Memory

-16.9MiB live, 116.0MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	452	0	452
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	452	14	466

Accuracy

100.0%

Counts

466 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
	20.3%	(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
✓	36.8%	(fma.f64 y (neg.f64 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)
✓	19.7%	(-.f64 y (*.f64 y y))
✓	55.2%	(+.f64 y x)
✓	45.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	2.5%	(*.f64 y (neg.f64 y))
✓	20.2%	y
✓	37.0%	x
✓	37.1%	#s(literal 1 binary64)

Compiler

Compiled 201 to 97 computations (51.7% saved)

regimes28.0ms (0.4%)

Memory

0.2MiB live, 38.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

14.0ms	y
6.0ms	x
6.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

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)

regimes32.0ms (0.4%)

Memory

-1.7MiB live, 36.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

20.0ms	y
5.0ms	x
5.0ms	(/.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)

regimes10.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

15 → 4

Calls

Call 1

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

5.0ms	y
5.0ms	(/.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)

regimes33.0ms (0.4%)

Memory

-19.6MiB live, 19.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

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:

28.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	y

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)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
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)))`
88.8%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-33.5MiB live, 7.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
88.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

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)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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
1.0ms	(/.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)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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 (0.3%)

Memory

9.8MiB live, 49.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.010596707753008344	14.88332223928426
11.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

11.0ms

272×

valid

Compiler

Compiled 335 to 249 computations (25.7% saved)

Precisions

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

ival-div: 3.0ms (51.7% of total)

ival-add: 3.0ms (51.7% 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

1.1MiB 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)

bsearch23.0ms (0.3%)

Memory

-30.9MiB live, 46.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	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 (42.3% of total)

ival-add: 2.0ms (42.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

9.1MiB live, 49.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.010596707753008344	14.88332223928426
10.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

14.0ms

272×

valid

Compiler

Compiled 233 to 181 computations (22.3% saved)

Precisions

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

ival-div: 2.0ms (41.5% of total)

ival-add: 2.0ms (41.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

-3.9MiB live, 71.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.010596707753008344	14.88332223928426
12.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

12.0ms

272×

valid

Compiler

Compiled 182 to 147 computations (19.2% saved)

Precisions

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

ival-add: 3.0ms (62.2% of total)

ival-div: 2.0ms (41.5% 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

1.6MiB live, 1.5MiB 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)

bsearch22.0ms (0.3%)

Memory

18.5MiB live, 57.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.037073611152793e-8	5.5977400835400255e-5
10.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

10.0ms

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 (41.6% of total)

ival-add: 2.0ms (41.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify45.0ms (0.6%)

Memory

-16.4MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	172
1	78	172
2	81	172
3	83	172
4	84	172

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 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 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)

soundness991.0ms (12.8%)

Memory

37.4MiB live, 705.1MiB allocated

Rules

14 886×	`accelerator-lowering-fma.f32`
14 886×	`accelerator-lowering-fma.f64`
12 130×	`accelerator-lowering-fma.f32`
12 130×	`accelerator-lowering-fma.f64`
8 864×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	72	22
2	462	22
3	4273	22
0	8269	22
0	88	362
1	263	358
2	670	338
3	2440	308
0	8253	300
0	165	1139
1	512	1007
2	1527	973
3	5571	907
0	8213	882

Stop Event

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

Compiler

Compiled 315 to 143 computations (54.6% saved)

preprocess84.0ms (1.1%)

Memory: -37.9MiB live, 171.7MiB allocated
Compiler: Compiled 386 to 116 computations (69.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	32
1	21	32
2	46	32
3	67	32
4	88	32
5	153	32
6	192	32
7	244	32
8	294	32
9	348	32
10	440	32
11	602	32
12	754	32
13	768	32
14	792	32
15	816	32
0	816	32

Iter	Nodes	Cost
0	11	34
1	27	33
2	42	33
3	62	33
4	89	33
5	145	33
6	201	33
7	327	33
8	389	33
9	536	33
10	668	33
11	685	33
12	711	33
13	821	33
14	825	33
0	825	33

Iter	Nodes	Cost
0	10	32
1	21	32
2	46	32
3	67	32
4	88	32
5	153	32
6	192	32
7	244	32
8	294	32
9	348	32
10	440	32
11	602	32
12	754	32
13	768	32
14	792	32
15	816	32
0	816	32

Iter	Nodes	Cost
0	11	34
1	27	33
2	42	33
3	62	33
4	89	33
5	145	33
6	201	33
7	327	33
8	389	33
9	536	33
10	668	33
11	685	33
12	711	33
13	821	33
14	825	33
0	825	33

analyze10.0ms (0.1%)

sample772.0ms (9.9%)

preprocess61.0ms (0.8%)

explain75.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize20.0ms (0.3%)

series3.0ms (0%)

rewrite465.0ms (6%)

simplify460.0ms (5.9%)

eval334.0ms (4.3%)

prune141.0ms (1.8%)

simplify505.0ms (6.5%)

localize89.0ms (1.1%)

series11.0ms (0.1%)

rewrite383.0ms (4.9%)

simplify351.0ms (4.5%)

eval154.0ms (2%)

prune202.0ms (2.6%)

simplify36.0ms (0.5%)

localize167.0ms (2.2%)

series5.0ms (0.1%)

rewrite407.0ms (5.2%)

simplify434.0ms (5.6%)

eval62.0ms (0.8%)

prune75.0ms (1%)

simplify37.0ms (0.5%)

localize110.0ms (1.4%)

series3.0ms (0%)

rewrite408.0ms (5.2%)

simplify477.0ms (6.1%)

eval51.0ms (0.7%)

prune78.0ms (1%)

regimes28.0ms (0.4%)

regimes32.0ms (0.4%)

regimes10.0ms (0.1%)

regimes33.0ms (0.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch0.0ms (0%)

bsearch22.0ms (0.3%)

simplify45.0ms (0.6%)

soundness991.0ms (12.8%)

preprocess84.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	32
1	21	32
2	46	32
3	67	32
4	88	32
5	153	32
6	192	32
7	244	32
8	294	32
9	348	32
10	440	32
11	602	32
12	754	32
13	768	32
14	792	32
15	816	32
0	816	32

Iter	Nodes	Cost
0	11	34
1	27	33
2	42	33
3	62	33
4	89	33
5	145	33
6	201	33
7	327	33
8	389	33
9	536	33
10	668	33
11	685	33
12	711	33
13	821	33
14	825	33
0	825	33