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

analyze40.0ms (0.6%)

Memory

-13.5MiB live, 26.3MiB 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)

sample725.0ms (10.7%)

Memory

43.0MiB live, 788.1MiB allocated

Samples

524.0ms	8 253×	0	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-sub: 130.0ms (61.7% of total)

ival-div: 68.0ms (32.3% of total)

exact: 5.0ms (2.4% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess121.0ms (1.8%)

Memory

-29.5MiB live, 91.8MiB allocated

Algorithm

2×	egg-herbie

Rules

288×	`accelerator-lowering-fma.f32`
288×	`accelerator-lowering-fma.f64`
256×	`div-sub`
242×	`times-frac`
222×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	56	45
2	133	43
3	366	42
4	814	42
5	1313	42
6	1562	42
7	1648	42
8	1698	42
9	1703	42
0	6	7
1	14	7
2	21	7
3	36	7
4	69	7
5	136	7
6	316	7
7	541	7
8	694	7
9	710	7
10	711	7
0	711	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain107.0ms (1.6%)

Memory

7.7MiB live, 85.7MiB allocated

FPErrors

Click to see full error table

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

21.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-sub: 5.0ms (54.1% of total)

ival-div: 3.0ms (32.4% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

ival-true: 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify26.0ms (0.4%)

Memory

6.6MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

288×	`accelerator-lowering-fma.f32`
288×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
142×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	14	16
2	21	16
3	36	16
4	69	16
5	136	16
6	316	16
7	541	16
8	694	16
9	710	16
10	711	16
0	711	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-3.4MiB live, 37.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-sub: 6.0ms (71.3% of total)

ival-div: 2.0ms (23.8% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite346.0ms (5.1%)

Memory

-3.6MiB live, 635.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 514×	`-lowering-.f32`
4 514×	`-lowering-.f64`
3 690×	`accelerator-lowering-fma.f32`
3 690×	`accelerator-lowering-fma.f64`
3 320×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	44	13
2	353	13
3	4965	13
0	9351	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 493

Calls

Call 1

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

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

simplify390.0ms (5.8%)

Memory

-5.1MiB live, 795.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 832×	`accelerator-lowering-fma.f32`
13 832×	`accelerator-lowering-fma.f64`
2 816×	`-lowering-.f32`
2 816×	`-lowering-.f64`
2 668×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	384
1	281	358
2	788	338
3	2735	311
4	7419	311
0	8107	302

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval120.0ms (1.8%)

Memory: 1.3MiB live, 194.4MiB allocated
Compiler: Compiled 12 635 to 1 304 computations (89.7% saved)

prune85.0ms (1.3%)

Memory

7.9MiB live, 208.1MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	547	6	553
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	547	7	554

Accuracy

100.0%

Counts

554 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(fma.f64 y (+.f64 #s(literal -1 binary64) x) x)
▶	53.4%	(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (-.f64 #s(literal 1 binary64) y))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
	50.6%	(/.f64 y (+.f64 #s(literal -1 binary64) y))
▶	50.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
▶	40.6%	x
▶	42.4%	#s(literal 1 binary64)

Compiler

Compiled 103 to 70 computations (32% saved)

simplify263.0ms (3.9%)

Memory

1.4MiB live, 563.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	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 (-.f64 #s(literal 0 binary64) y) x)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	192	(-.f64 (.f64 y y) (.f64 x x))
✓	cost-diff	1664	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))

Rules

8 326×	`accelerator-lowering-fma.f32`
8 326×	`accelerator-lowering-fma.f64`
2 476×	`-lowering-.f32`
2 476×	`-lowering-.f64`
1 696×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	47	80
2	105	80
3	304	80
4	938	62
5	3564	62
6	6084	62
7	7359	62
8	7911	62
0	8118	61

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize79.0ms (1.2%)

Memory

-1.8MiB live, 115.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	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 x x)
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	94.0%	(-.f64 (.f64 y y) (.f64 x x))
✓	accuracy	54.7%	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))

Samples

30.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

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

ival-div: 6.0ms (33.1% of total)

ival-mult: 5.0ms (27.6% of total)

ival-sub: 4.0ms (22.1% of total)

ival-add: 2.0ms (11% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series16.0ms (0.2%)

Memory

-7.7MiB live, 33.0MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ (* y (+ -1 x)) x)
2.0ms	x	@	0	(/ (/ (- (* y y) (* x x)) (- (- 0 y) x)) (- 1 y))
1.0ms	x	@	inf	(/ x (- 1 y))
1.0ms	y	@	-inf	(/ (- (* y y) (* x x)) (- (- 0 y) x))
1.0ms	y	@	0	(/ (- (* y y) (* x x)) (- (- 0 y) x))

rewrite366.0ms (5.4%)

Memory

7.4MiB live, 606.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 892×	`accelerator-lowering-fma.f32`
5 892×	`accelerator-lowering-fma.f64`
3 832×	`/-lowering-/.f32`
3 832×	`/-lowering-/.f64`
2 996×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	133	44
2	1260	40
0	9547	39

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 787

Calls

Call 1

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

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

simplify542.0ms (8%)

Memory

8.7MiB live, 1 046.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 262×	`accelerator-lowering-fma.f32`
19 262×	`accelerator-lowering-fma.f64`
3 876×	`-lowering-.f32`
3 876×	`-lowering-.f64`
3 722×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1202
1	624	1086
2	1898	1033
3	7536	1033
0	8268	998

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval129.0ms (1.9%)

Memory: 2.5MiB live, 303.1MiB allocated
Compiler: Compiled 27 299 to 2 390 computations (91.2% saved)

prune136.0ms (2%)

Memory

1.3MiB live, 356.7MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 033	6	1 039
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1 035	11	1 046

Accuracy

100.0%

Counts

1 046 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(fma.f64 y (fma.f64 x y x) x)
▶	39.8%	(fma.f64 y x x)
▶	48.9%	(fma.f64 y #s(literal -1 binary64) x)
	32.9%	(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	50.6%	(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓	50.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
▶	48.9%	(-.f64 x (fma.f64 y x y))
▶	11.1%	(-.f64 #s(literal 0 binary64) y)
✓	40.6%	x
✓	42.4%	#s(literal 1 binary64)

Compiler

Compiled 138 to 86 computations (37.7% saved)

simplify62.0ms (0.9%)

Memory

15.3MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

656×	`accelerator-lowering-fma.f32`
656×	`accelerator-lowering-fma.f64`
288×	`-lowering-.f32`
288×	`-lowering-.f64`
184×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	28	42
2	52	41
3	117	41
4	244	41
5	438	41
6	614	41
7	797	41
8	945	41
9	975	41
10	993	41
11	1111	41
12	1127	41
13	1143	41
14	1157	41
15	1159	41
0	1159	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

21.6MiB live, 100.0MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

23.0ms

256×

valid

Compiler

Compiled 42 to 15 computations (64.3% saved)

Precisions

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

ival-add: 5.0ms (40.4% of total)

ival-mult: 3.0ms (24.2% of total)

ival-div: 2.0ms (16.1% of total)

ival-sub: 2.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-26.0MiB live, 13.0MiB allocated

Counts

7 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite273.0ms (4%)

Memory

-11.2MiB live, 493.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 866×	`accelerator-lowering-fma.f32`
3 866×	`accelerator-lowering-fma.f64`
3 122×	`/-lowering-/.f32`
3 122×	`/-lowering-/.f64`
2 812×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	97	31
2	848	29
0	10394	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 422

Calls

Call 1

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

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

simplify274.0ms (4.1%)

Memory

-1.9MiB live, 429.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`accelerator-lowering-fma.f32`
7 514×	`accelerator-lowering-fma.f64`
2 720×	`-lowering-.f32`
2 720×	`-lowering-.f64`
1 400×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	610
1	274	592
2	701	587
3	1695	585
4	3509	573
5	5256	572
6	7226	572
0	8056	511

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval82.0ms (1.2%)

Memory: 25.1MiB live, 142.3MiB allocated
Compiler: Compiled 10 233 to 1 071 computations (89.5% saved)

prune402.0ms (5.9%)

Memory

-5.4MiB live, 154.4MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	548	6	554
Fresh	1	1	2
Picked	3	2	5
Done	0	4	4
Total	552	13	565

Accuracy

100.0%

Counts

565 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y) x)
	39.9%	(fma.f64 y (fma.f64 x y x) x)
▶	10.1%	(fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
✓	39.8%	(fma.f64 y x x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	50.6%	(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓	50.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
▶	40.1%	(-.f64 x (*.f64 y x))
▶	48.9%	(-.f64 x y)
▶	11.1%	(neg.f64 y)
▶	3.1%	y
✓	40.6%	x
✓	42.4%	#s(literal 1 binary64)

Compiler

Compiled 129 to 82 computations (36.4% saved)

simplify21.0ms (0.3%)

Memory

-0.7MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
200×	`-lowering-.f32`
200×	`-lowering-.f64`
112×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	22	30
2	46	30
3	89	30
4	198	30
5	286	30
6	419	30
7	454	30
0	454	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

0.5MiB live, 80.2MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 33 to 13 computations (60.6% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite669.0ms (9.9%)

Memory

-12.7MiB live, 540.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 786×	`accelerator-lowering-fma.f32`
5 786×	`accelerator-lowering-fma.f64`
3 230×	`-lowering-.f32`
3 230×	`-lowering-.f64`
2 268×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	68	21
2	583	21
3	6004	20
0	9044	18

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 609

Calls

Call 1

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

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

simplify259.0ms (3.8%)

Memory

-1.1MiB live, 442.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 226×	`accelerator-lowering-fma.f32`
7 226×	`accelerator-lowering-fma.f64`
4 178×	`-lowering-.f32`
4 178×	`-lowering-.f64`
1 356×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	378
1	135	378
2	326	360
3	1083	360
4	4560	360
5	7926	360
0	8423	360

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval112.0ms (1.7%)

Memory: 18.6MiB live, 163.4MiB allocated
Compiler: Compiled 14 602 to 1 199 computations (91.8% saved)

prune98.0ms (1.4%)

Memory

-1.7MiB live, 224.9MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	715	2	717
Fresh	0	2	2
Picked	2	3	5
Done	0	6	6
Total	717	13	730

Accuracy

100.0%

Counts

730 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y) x)
	39.9%	(fma.f64 y (fma.f64 x y x) x)
	3.6%	(fma.f64 y y y)
✓	39.8%	(fma.f64 y x x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	50.6%	(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓	50.8%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	48.9%	(-.f64 x y)
	10.1%	(neg.f64 (fma.f64 y y y))
✓	11.1%	(neg.f64 y)
✓	3.1%	y
✓	40.6%	x
✓	42.4%	#s(literal 1 binary64)

Compiler

Compiled 198 to 87 computations (56.1% saved)

regimes42.0ms (0.6%)

Memory

-12.7MiB live, 49.7MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
6.0ms	y
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-8.3MiB live, 27.0MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
75.7%	3	`x`
88.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
87.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-29.6MiB live, 7.6MiB 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

2 calls:

3.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
42.4%	1	`x`
42.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.4%)

Memory

12.6MiB live, 49.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2631085925759962e-32	57483010687465.375
9.0ms	-0.516840005188766	-3.80680116056998e-5

Samples

15.0ms

320×

valid

Compiler

Compiled 352 to 251 computations (28.7% saved)

Precisions

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

ival-sub: 6.0ms (73.8% of total)

ival-div: 2.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Memory

4.0MiB live, 42.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.2631085925759962e-32	57483010687465.375
5.0ms	-1.931285474448705	-0.516840005188766

Samples

19.0ms

272×

valid

Compiler

Compiled 233 to 181 computations (22.3% saved)

Precisions

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

ival-sub: 3.0ms (62.6% of total)

ival-div: 2.0ms (41.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

4.4MiB live, 41.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2631085925759962e-32	57483010687465.375
5.0ms	-1.931285474448705	-0.516840005188766

Samples

13.0ms

272×

valid

Compiler

Compiled 182 to 147 computations (19.2% saved)

Precisions

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

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

ival-div: 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)

bsearch33.0ms (0.5%)

Memory

-0.3MiB live, 67.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2631085925759962e-32	57483010687465.375
8.0ms	-0.516840005188766	-3.80680116056998e-5

Samples

16.0ms

320×

valid

Compiler

Compiled 172 to 151 computations (12.2% saved)

Precisions

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

ival-sub: 7.0ms (76.4% of total)

ival-div: 2.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

31.5MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	68
1	47	68
2	51	68
3	53	68
4	54	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -8116567392432203/73786976294838206464 binary64)) (/.f64 y (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3246626956972881/73786976294838206464 binary64)) (fma.f64 y (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal -1 binary64) 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 -4278419646001971/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -607985949695017/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -8116567392432203/73786976294838206464 binary64)) (/.f64 y (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3246626956972881/73786976294838206464 binary64)) (fma.f64 y (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -8116567392432203/73786976294838206464 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64))) (if (<=.f64 y #s(literal 3246626956972881/73786976294838206464 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) x) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(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 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -4278419646001971/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -607985949695017/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness684.0ms (10.1%)

Memory

-32.5MiB live, 497.0MiB allocated

Rules

19 262×	`accelerator-lowering-fma.f32`
19 262×	`accelerator-lowering-fma.f64`
13 832×	`accelerator-lowering-fma.f32`
13 832×	`accelerator-lowering-fma.f64`
3 876×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	97	31
2	848	29
0	10394	26
0	202	1202
1	624	1086
2	1898	1033
3	7536	1033
0	8268	998
0	96	384
1	281	358
2	788	338
3	2735	311
4	7419	311
0	8107	302

Stop Event

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

Compiler

Compiled 131 to 70 computations (46.6% saved)

preprocess35.0ms (0.5%)

Memory: 0.3MiB live, 77.8MiB allocated
Compiler: Compiled 166 to 70 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	16
1	14	16
2	21	16
3	36	16
4	69	16
5	136	16
6	316	16
7	541	16
8	694	16
9	710	16
10	711	16
0	711	16

Iter	Nodes	Cost
0	6	16
1	14	16
2	21	16
3	36	16
4	69	16
5	136	16
6	316	16
7	541	16
8	694	16
9	710	16
10	711	16
0	711	16

analyze40.0ms (0.6%)

sample725.0ms (10.7%)

preprocess121.0ms (1.8%)

explain107.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.4%)

localize21.0ms (0.3%)

series4.0ms (0.1%)

rewrite346.0ms (5.1%)

simplify390.0ms (5.8%)

eval120.0ms (1.8%)

prune85.0ms (1.3%)

simplify263.0ms (3.9%)

localize79.0ms (1.2%)

series16.0ms (0.2%)

rewrite366.0ms (5.4%)

simplify542.0ms (8%)

eval129.0ms (1.9%)

prune136.0ms (2%)

simplify62.0ms (0.9%)

localize36.0ms (0.5%)

series6.0ms (0.1%)

rewrite273.0ms (4%)

simplify274.0ms (4.1%)

eval82.0ms (1.2%)

prune402.0ms (5.9%)

simplify21.0ms (0.3%)

localize36.0ms (0.5%)

series5.0ms (0.1%)

rewrite669.0ms (9.9%)

simplify259.0ms (3.8%)

eval112.0ms (1.7%)

prune98.0ms (1.4%)

regimes42.0ms (0.6%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch33.0ms (0.5%)

simplify9.0ms (0.1%)

soundness684.0ms (10.1%)

preprocess35.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	16
1	14	16
2	21	16
3	36	16
4	69	16
5	136	16
6	316	16
7	541	16
8	694	16
9	710	16
10	711	16
0	711	16