Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, D

analyze40.0ms (0.6%)

Memory

-17.5MiB live, 40.4MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample694.0ms (10.3%)

Memory

7.2MiB live, 1 064.4MiB allocated

Samples

510.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-div: 62.0ms (36% of total)

ival-sub: 51.0ms (29.6% of total)

ival-add: 50.0ms (29% of total)

ival-true: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess63.0ms (0.9%)

Memory

8.3MiB live, 90.4MiB allocated

Algorithm

1×	egg-herbie

Rules

410×	`times-frac`
304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
228×	`associate-l`
182×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	50	37
2	122	35
3	313	35
4	821	35
5	1352	35
6	1401	35
7	1441	35
8	1484	35
9	1496	35
0	5	7
1	11	7
2	18	7
3	30	7
4	57	7
5	101	7
6	168	7
7	272	7
8	451	7
9	768	7
10	777	7
11	815	7
12	844	7
0	844	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain59.0ms (0.9%)

Memory

-1.6MiB live, 127.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) (+.f64 x y))`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.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

25.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (40.6% of total)

ival-sub: 3.0ms (30.4% of total)

ival-add: 3.0ms (30.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify103.0ms (1.5%)

Memory

-14.1MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
146×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	11	15
2	18	15
3	30	15
4	57	15
5	101	15
6	168	15
7	272	15
8	451	15
9	768	15
10	777	15
11	815	15
12	844	15
0	844	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.4%)

Memory

-12.3MiB live, 26.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (43.7% of total)

ival-sub: 1.0ms (21.8% of total)

ival-add: 1.0ms (21.8% of total)

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

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

series4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite488.0ms (7.2%)

Memory

34.9MiB live, 390.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 962×	`-lowering-.f32`
3 962×	`-lowering-.f64`
3 438×	`/-lowering-/.f32`
3 438×	`/-lowering-/.f64`
2 768×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	36	13
2	306	13
3	5158	13
0	8676	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 497

Calls

Call 1

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

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

simplify954.0ms (14.1%)

Memory

-26.3MiB live, 462.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 876×	`accelerator-lowering-fma.f32`
11 876×	`accelerator-lowering-fma.f64`
3 410×	`-lowering-.f32`
3 410×	`-lowering-.f64`
2 360×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval264.0ms (3.9%)

Memory: 20.7MiB live, 96.7MiB allocated
Compiler: Compiled 14 451 to 1 241 computations (91.4% saved)

prune341.0ms (5.1%)

Memory

-7.1MiB live, 152.4MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	562	7	569
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	562	8	570

Accuracy

100.0%

Counts

570 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	53.0%	(/.f64 (-.f64 x y) y)
	53.4%	(/.f64 (neg.f64 y) (+.f64 x y))
▶	49.1%	(/.f64 x (+.f64 x y))
▶	53.9%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
▶	47.9%	#s(literal 1 binary64)
▶	52.4%	#s(literal -1 binary64)

Compiler

Compiled 99 to 67 computations (32.3% saved)

simplify54.0ms (0.8%)

Memory

-15.9MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

736×	`accelerator-lowering-fma.f32`
736×	`accelerator-lowering-fma.f64`
368×	`-lowering-.f32`
368×	`-lowering-.f64`
254×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	22	40
2	30	40
3	40	40
4	55	40
5	91	40
6	141	40
7	251	40
8	519	40
9	1002	40
10	1404	40
11	1545	40
12	1654	40
13	1664	40
0	1664	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (0.6%)

Memory

16.1MiB live, 66.2MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

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

ival-div: 10.0ms (55.7% of total)

ival-add: 6.0ms (33.4% of total)

ival-sub: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

-19.5MiB live, 19.1MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(/ (+ x x) y)
1.0ms	x	@	0	(/ (- x y) y)
1.0ms	y	@	0	(+ -1 (/ (+ x x) y))
0.0ms	x	@	0	(+ -1 (/ (+ x x) y))
0.0ms	x	@	inf	(+ -1 (/ (+ x x) y))

rewrite76.0ms (1.1%)

Memory

7.2MiB live, 84.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

378×	`/-lowering-/.f32`
378×	`/-lowering-/.f64`
274×	`-lowering-.f32`
274×	`-lowering-.f64`
160×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	73	31
0	658	30

Stop Event

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

Counts

7 → 140

Calls

Call 1

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

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

simplify1.7s (24.6%)

Memory

5.0MiB live, 440.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 642×	`accelerator-lowering-fma.f32`
9 642×	`accelerator-lowering-fma.f64`
3 672×	`-lowering-.f32`
3 672×	`-lowering-.f64`
2 466×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	834
1	448	813
2	1184	783
3	4339	781
0	8568	750

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval316.0ms (4.7%)

Memory: -7.9MiB live, 73.5MiB allocated
Compiler: Compiled 2 835 to 406 computations (85.7% saved)

prune27.0ms (0.4%)

Memory

10.1MiB live, 48.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	296	8	304

Accuracy

100.0%

Counts

304 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	53.4%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	49.1%	(/.f64 x (+.f64 x y))
▶	53.0%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	53.9%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
✓	47.9%	#s(literal 1 binary64)
✓	52.4%	#s(literal -1 binary64)

Compiler

Compiled 54 to 37 computations (31.5% saved)

simplify44.0ms (0.6%)

Memory

20.1MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(neg.f64 y)
✓	cost-diff	(/.f64 (neg.f64 y) (+.f64 x y))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(-.f64 (/.f64 x y) #s(literal 1 binary64))

Rules

480×	`accelerator-lowering-fma.f32`
480×	`accelerator-lowering-fma.f64`
352×	`-lowering-.f32`
352×	`-lowering-.f64`
324×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	26	38
2	37	38
3	51	38
4	75	38
5	110	38
6	157	38
7	239	38
8	582	38
9	1093	38
10	1465	38
11	1510	38
12	1546	38
13	1559	38
0	1559	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (0.6%)

Memory

-17.2MiB live, 101.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.9%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 x y) #s(literal 1 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (56.5% of total)

ival-add: 2.0ms (12.6% of total)

ival-mult: 2.0ms (12.6% of total)

ival-sub: 1.0ms (6.3% of total)

ival-neg: 1.0ms (6.3% 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

15.0MiB live, 15.0MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (neg y) (+ x y))
0.0ms	y	@	0	(+ (* y (/ -2 x)) 1)
0.0ms	x	@	0	(+ (* y (/ -2 x)) 1)
0.0ms	y	@	inf	(+ (* y (/ -2 x)) 1)
0.0ms	x	@	-inf	(/ x y)

rewrite336.0ms (5%)

Memory

-27.2MiB live, 687.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 438×	`accelerator-lowering-fma.f32`
5 438×	`accelerator-lowering-fma.f64`
3 998×	`-lowering-.f32`
3 998×	`-lowering-.f64`
3 100×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	81	29
2	599	29
3	7388	29
0	8427	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 395

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) (.f64 y (.f64 y y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 x (/.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x y) (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 x y) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 x x) (/.f64 x (.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) y #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (/.f64 x y) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (.f64 y y))) #s(literal -1 binary64))) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (.f64 y y))) #s(literal -1 binary64)) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (.f64 y y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 x (neg.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (.f64 y y))) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x x) (/.f64 x (.f64 y (*.f64 y y))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (/.f64 x (.f64 y (*.f64 y y))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (fma.f64 (/.f64 x y) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 x (.f64 y (.f64 y y))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 x y)) #s(literal 1 binary64)))))
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(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))) (+.f64 (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 x x)))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))))) (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 y (.f64 x #s(literal -1/2 binary64))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))))) (-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 y (/.f64 y (*.f64 x #s(literal -1/2 binary64))) y) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 y (/.f64 y (.f64 x #s(literal -1/2 binary64))) y) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))

simplify381.0ms (5.6%)

Memory

32.3MiB live, 471.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 128×	`accelerator-lowering-fma.f32`
12 128×	`accelerator-lowering-fma.f64`
3 298×	`-lowering-.f32`
3 298×	`-lowering-.f64`
1 878×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	751
1	358	724
2	925	701
3	2796	695
4	6404	689
0	8077	658

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: 3.1MiB live, 120.9MiB allocated
Compiler: Compiled 9 486 to 1 024 computations (89.2% saved)

prune60.0ms (0.9%)

Memory

-7.8MiB live, 154.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	539	0	539
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	539	8	547

Accuracy

100.0%

Counts

547 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.4%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	49.1%	(/.f64 x (+.f64 x y))
✓	53.0%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	53.9%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
✓	47.9%	#s(literal 1 binary64)
✓	52.4%	#s(literal -1 binary64)

Compiler

Compiled 99 to 56 computations (43.4% saved)

regimes12.0ms (0.2%)

Memory

-7.5MiB live, 31.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
3.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
81.4%	3	`x`
78.9%	3	`y`
99.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes25.0ms (0.4%)

Memory

-33.6MiB live, 5.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

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

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.7%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.7%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
52.4%	1	`y`
52.4%	1	`x`
52.4%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999991945	1.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999991945	1.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999991945	1.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-0.9999999999991945	1.0

Samples

0.0ms

16×

valid

Compiler

Compiled 20 to 18 computations (10% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify37.0ms (0.6%)

Memory

-26.7MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	28	78
2	34	78
3	41	78
4	42	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)) (/.f64 x (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)) (/.f64 x (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness440.0ms (6.5%)

Memory

10.6MiB live, 334.8MiB allocated

Rules

11 876×	`accelerator-lowering-fma.f32`
11 876×	`accelerator-lowering-fma.f64`
3 410×	`-lowering-.f32`
3 410×	`-lowering-.f64`
2 360×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	73	31
0	658	30
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

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

Compiler

Compiled 143 to 63 computations (55.9% saved)

preprocess44.0ms (0.7%)

Memory: -1.8MiB live, 111.6MiB allocated
Compiler: Compiled 204 to 60 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
1	11	15
2	18	15
3	30	15
4	57	15
5	101	15
6	168	15
7	272	15
8	451	15
9	768	15
10	777	15
11	815	15
12	844	15
0	844	15

Iter	Nodes	Cost
0	5	15
1	11	15
2	18	15
3	30	15
4	57	15
5	101	15
6	168	15
7	272	15
8	451	15
9	768	15
10	777	15
11	815	15
12	844	15
0	844	15

analyze40.0ms (0.6%)

sample694.0ms (10.3%)

preprocess63.0ms (0.9%)

explain59.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify103.0ms (1.5%)

localize27.0ms (0.4%)

series4.0ms (0.1%)

rewrite488.0ms (7.2%)

simplify954.0ms (14.1%)

eval264.0ms (3.9%)

prune341.0ms (5.1%)

simplify54.0ms (0.8%)

localize39.0ms (0.6%)

series29.0ms (0.4%)

rewrite76.0ms (1.1%)

simplify1.7s (24.6%)

eval316.0ms (4.7%)

prune27.0ms (0.4%)

simplify44.0ms (0.6%)

localize42.0ms (0.6%)

series6.0ms (0.1%)

rewrite336.0ms (5%)

simplify381.0ms (5.6%)

eval66.0ms (1%)

prune60.0ms (0.9%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes25.0ms (0.4%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify37.0ms (0.6%)

soundness440.0ms (6.5%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
1	11	15
2	18	15
3	30	15
4	57	15
5	101	15
6	168	15
7	272	15
8	451	15
9	768	15
10	777	15
11	815	15
12	844	15
0	844	15