Metrics for Examples.Basics.BasicTests:f1 from sbv-4.4

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (20%)

Memory

-35.4MiB live, 646.6MiB allocated

Samples

978.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-add: 111.0ms (41.1% of total)

ival-sub: 101.0ms (37.4% of total)

ival-mult: 50.0ms (18.5% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess1.2s (15.7%)

Memory

35.9MiB live, 1 346.1MiB allocated

Algorithm

2×	egg-herbie

Rules

37 776×	`accelerator-lowering-fma.f32`
37 776×	`accelerator-lowering-fma.f64`
8 740×	`+-lowering-+.f64`
8 740×	`+-lowering-+.f32`
3 214×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	48	42
2	164	42
3	541	42
4	1176	42
5	2021	42
6	2543	42
7	3236	42
8	4193	42
9	4792	42
10	4996	42
11	5062	42
12	5126	42
13	5158	42
14	6430	42
15	7858	42
0	5	7
1	9	7
2	28	7
3	70	7
4	182	7
5	346	7
6	693	7
7	1323	7
8	2261	7
9	2882	7
10	3050	7
11	3092	7
12	3130	7
13	3130	7
14	3130	7
15	3132	7
0	8264	7

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(* (+ x y) (- x y))
(- (* x x) (* y y))
(* (+ (neg x) y) (- (neg x) y))
(- (* x x) (* y y))
(* (+ x (neg y)) (- x (neg y)))
(- (* x x) (* y y))
(neg (* (+ (neg x) y) (- (neg x) y)))
(- (* y y) (* x x))
(neg (* (+ x (neg y)) (- x (neg y))))
(- (* y y) (* x x))
(* (+ y x) (- y x))
(- (* y y) (* x x))

Symmetry

(abs x)

(abs y)

explain52.0ms (0.7%)

Memory

8.1MiB live, 127.1MiB allocated

FPErrors

Click to see full error table

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

22.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-sub: 3.0ms (32.9% of total)

ival-add: 3.0ms (32.9% of total)

ival-mult: 3.0ms (32.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify1.1s (14.7%)

Memory

-1.8MiB live, 1 359.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 (+.f64 x y) (-.f64 x y))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(+.f64 x y)

Rules

37 776×	`accelerator-lowering-fma.f32`
37 776×	`accelerator-lowering-fma.f64`
8 740×	`+-lowering-+.f64`
8 740×	`+-lowering-+.f32`
3 214×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	9	15
2	28	15
3	70	15
4	182	15
5	346	15
6	693	15
7	1323	15
8	2261	15
9	2882	15
10	3050	15
11	3092	15
12	3130	15
13	3130	15
14	3130	15
15	3132	15
0	8264	15

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

-2.0MiB live, 35.9MiB 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

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 2.0ms (43.3% of total)

ival-sub: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

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

series3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite514.0ms (6.6%)

Memory

3.5MiB live, 752.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 088×	`accelerator-lowering-fma.f32`
5 088×	`accelerator-lowering-fma.f64`
4 974×	`-lowering-.f32`
4 974×	`-lowering-.f64`
3 706×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	26	13
2	247	13
3	3942	13
0	9468	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 1 091

Calls

Call 1

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

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

simplify375.0ms (4.8%)

Memory

9.0MiB live, 603.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 152×	`accelerator-lowering-fma.f32`
14 152×	`accelerator-lowering-fma.f64`
2 614×	`--lowering--.f32`
2 614×	`--lowering--.f64`
2 222×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	309
1	265	249
2	789	249
3	3286	249
0	8553	249

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval147.0ms (1.9%)

Memory: 7.6MiB live, 308.8MiB allocated
Compiler: Compiled 43 296 to 2 873 computations (93.4% saved)

prune206.0ms (2.6%)

Memory

-42.4MiB live, 346.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 160	3	1 163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 160	4	1 164

Accuracy

100.0%

Counts

1 164 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(fma.f64 x x #s(literal 0 binary64))
▶	55.9%	(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
▶	64.2%	(*.f64 y (-.f64 x y))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify18.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

248×	`accelerator-lowering-fma.f32`
248×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	20	24
2	36	24
3	62	24
4	84	24
5	138	24
6	193	24
7	293	24
8	349	24
9	369	24
10	371	24
0	371	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

-4.8MiB live, 67.7MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (50.1% of total)

ival-sub: 3.0ms (30.1% of total)

ival-add: 2.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.2MiB live, 7.3MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite632.0ms (8.1%)

Memory

16.5MiB live, 804.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 624×	`accelerator-lowering-fma.f32`
9 624×	`accelerator-lowering-fma.f64`
2 906×	`-lowering-.f32`
2 906×	`-lowering-.f64`
2 636×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	71	18
2	664	18
3	6586	18
0	8020	18

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 736

Calls

Call 1

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

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

simplify476.0ms (6.1%)

Memory

-40.7MiB live, 370.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 188×	`accelerator-lowering-fma.f32`
8 188×	`accelerator-lowering-fma.f64`
5 668×	`-lowering-.f32`
5 668×	`-lowering-.f64`
2 230×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	294
1	110	294
2	282	294
3	685	294
4	1847	294
5	3203	294
6	4614	294
7	5758	294
8	6214	294
9	6716	294
10	6828	294
0	8308	294

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval380.0ms (4.9%)

Memory: 45.6MiB live, 153.9MiB allocated
Compiler: Compiled 22 335 to 1 368 computations (93.9% saved)

prune105.0ms (1.3%)

Memory

-28.6MiB live, 247.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	818	2	820
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	821	3	824

Accuracy

100.0%

Counts

824 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
▶	54.4%	(*.f64 x x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify5.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

16×	`+-lowering-+.f64`
16×	`-lowering-.f32`
16×	`-lowering-.f64`
16×	`+-lowering-+.f32`
14×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	11	13
2	18	13
3	24	13
4	33	13
5	42	13
6	45	13
7	51	13
8	52	13
0	52	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x x)
x
(- 0 (* y y))
0
(* y y)
y

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

localize19.0ms (0.2%)

Memory

13.8MiB live, 53.1MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (62% of total)

ival-sub: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite121.0ms (1.6%)

Memory

-32.6MiB live, 182.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

596×	`/-lowering-/.f32`
596×	`/-lowering-/.f64`
582×	`-lowering-.f32`
582×	`-lowering-.f64`
292×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	27	10
2	193	10
0	1898	10

Stop Event

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

Counts

3 → 182

Calls

Call 1

Inputs
(* x x)
(- 0 (* y y))
(* y y)

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

simplify9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-lowering-+.f64`
16×	`-lowering-.f32`
16×	`-lowering-.f64`
16×	`+-lowering-+.f32`
14×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	120
1	11	120
2	20	120
3	22	120
4	25	120
5	32	120
6	40	120
7	48	120
8	54	120
9	55	120
0	55	120

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval23.0ms (0.3%)

Memory: -20.1MiB live, 55.7MiB allocated
Compiler: Compiled 5 342 to 366 computations (93.1% saved)

prune26.0ms (0.3%)

Memory

-14.7MiB live, 67.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	218	3	221

Accuracy

100.0%

Counts

221 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	54.4%	(*.f64 x x)

Compiler

Compiled 53 to 26 computations (50.9% saved)

regimes8.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 x x)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
83.6%	2	`x`
82.9%	2	`y`
98.6%	2	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes7.0ms (0.1%)

Memory

-26.9MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))

Outputs
(*.f64 x x)

Calls

3 calls:

4.0ms	x
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
54.4%	1	`y`
54.4%	1	`x`
54.4%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.883335297839991e-285	-0.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.883335297839991e-285	-0.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`
2×	`sub0-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	24	45
2	31	45
3	34	45
4	35	45

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 -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 x x))
(if (<=.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (.f64 y (-.f64 x y)) (*.f64 x x))
(*.f64 x x)

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 x x))
(if (<=.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (.f64 y (-.f64 x y)) (*.f64 x x))
(*.f64 x x)

soundness620.0ms (7.9%)

Memory

-36.2MiB live, 345.7MiB allocated

Rules

14 152×	`accelerator-lowering-fma.f32`
14 152×	`accelerator-lowering-fma.f64`
9 624×	`accelerator-lowering-fma.f32`
9 624×	`accelerator-lowering-fma.f64`
2 906×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	309
1	265	249
2	789	249
3	3286	249
0	8553	249
0	10	18
1	71	18
2	664	18
3	6586	18
0	8020	18

Stop Event

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

Compiler

Compiled 103 to 49 computations (52.4% saved)

preprocess54.0ms (0.7%)

Memory

-6.8MiB live, 73.9MiB allocated

Remove

(abs y)

(abs x)

Compiler

Compiled 186 to 78 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	24
1	20	24
2	36	24
3	62	24
4	84	24
5	138	24
6	193	24
7	293	24
8	349	24
9	369	24
10	371	24
0	371	24

Iter	Nodes	Cost
0	7	120
1	11	120
2	20	120
3	22	120
4	25	120
5	32	120
6	40	120
7	48	120
8	54	120
9	55	120
0	55	120

Iter	Nodes	Cost
0	10	24
1	20	24
2	36	24
3	62	24
4	84	24
5	138	24
6	193	24
7	293	24
8	349	24
9	369	24
10	371	24
0	371	24

Iter	Nodes	Cost
0	7	120
1	11	120
2	20	120
3	22	120
4	25	120
5	32	120
6	40	120
7	48	120
8	54	120
9	55	120
0	55	120

analyze0.0ms (0%)

sample1.6s (20%)

preprocess1.2s (15.7%)

explain52.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.1s (14.7%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite514.0ms (6.6%)

simplify375.0ms (4.8%)

eval147.0ms (1.9%)

prune206.0ms (2.6%)

simplify18.0ms (0.2%)

localize34.0ms (0.4%)

series3.0ms (0%)

rewrite632.0ms (8.1%)

simplify476.0ms (6.1%)

eval380.0ms (4.9%)

prune105.0ms (1.3%)

simplify5.0ms (0.1%)

localize19.0ms (0.2%)

series0.0ms (0%)

rewrite121.0ms (1.6%)

simplify9.0ms (0.1%)

eval23.0ms (0.3%)

prune26.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness620.0ms (7.9%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	24
1	20	24
2	36	24
3	62	24
4	84	24
5	138	24
6	193	24
7	293	24
8	349	24
9	369	24
10	371	24
0	371	24

Iter	Nodes	Cost
0	7	120
1	11	120
2	20	120
3	22	120
4	25	120
5	32	120
6	40	120
7	48	120
8	54	120
9	55	120
0	55	120