Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 13 to 10 computations (23.1% saved)

sample738.0ms (7.2%)

Memory

-1.1MiB live, 1 194.1MiB allocated

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-mult: 175.0ms (50.4% of total)

ival-add: 158.0ms (45.5% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess35.0ms (0.3%)

Memory

15.3MiB live, 52.7MiB allocated

Algorithm

2×	egg-herbie

Rules

266×	`sub-neg`
198×	`unsub-neg`
146×	`cancel-sign-sub-inv`
144×	`associate-+l-`
136×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
1	68	58
2	215	55
3	580	54
4	1133	54
5	1390	54
6	1439	54
0	8	9
1	15	9
2	25	9
3	27	9
0	27	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x 2) (* x x)) (* y y))

Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))

Call 2

Inputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y))
(+ (+ (* x 2) (* x x)) (* (neg y) (neg y)))
(neg (+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y)))
(neg (+ (+ (* x 2) (* x x)) (* (neg y) (neg y))))
(+ (+ (* y 2) (* y y)) (* x x))

Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (* x (+ x 2)) (* y y))
(+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y))
(+ (* y y) (* x (+ x -2)))
(+ (+ (* x 2) (* x x)) (* (neg y) (neg y)))
(+ (* x (+ x 2)) (* y y))
(neg (+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y)))
(- (* x (- 2 x)) (* y y))
(neg (+ (+ (* x 2) (* x x)) (* (neg y) (neg y))))
(- (* x (- -2 x)) (* y y))
(+ (+ (* y 2) (* y y)) (* x x))
(- (* x x) (* y (- -2 y)))

Symmetry

(abs y)

explain128.0ms (1.2%)

Memory

16.2MiB live, 174.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`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

31.0ms

512×

valid

Compiler

Compiled 90 to 36 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (66.3% of total)

ival-add: 5.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.1%)

Memory

-23.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	cost-diff	320	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	15	26
2	25	26
3	27	26
0	27	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (* x 2) (* x x))
(* x 2)
x
2
(* x x)
(* y y)
y

Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+ (* x 2) (* x x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(* y y)
(*.f64 y y)
y

localize38.0ms (0.4%)

Memory

-5.5MiB live, 34.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (65.6% of total)

ival-add: 2.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (+ (* x 2) (* x x))>
#<alt (+ (+ (* x 2) (* x x)) (* y y))>
#<alt (* x 2)>
#<alt (* x x)>

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

15 calls:

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

rewrite393.0ms (3.8%)

Memory

27.7MiB live, 611.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 744×	`accelerator-lowering-fma.f32`
6 744×	`accelerator-lowering-fma.f64`
4 716×	`-lowering-.f32`
4 716×	`-lowering-.f64`
2 642×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	42	20
2	401	20
3	6135	20
0	8089	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 211

Calls

Call 1

Inputs
(+ (* x 2) (* x x))
(+ (+ (* x 2) (* x x)) (* y y))
(* x 2)
(* x x)

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 4 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
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(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))) (fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64))))) (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (*.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))))) (fma.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))))) (-.f64 (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 y y) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(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)))

simplify520.0ms (5%)

Memory

7.9MiB live, 577.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 938×	`accelerator-lowering-fma.f32`
9 938×	`accelerator-lowering-fma.f64`
3 308×	`-lowering-.f32`
3 308×	`-lowering-.f64`
1 722×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	101	298
2	272	298
3	917	298
4	2774	298
5	4851	298
6	7645	298
0	8375	282

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

eval30.0ms (0.3%)

Memory: 10.6MiB live, 86.2MiB allocated
Compiler: Compiled 8 813 to 659 computations (92.5% saved)

prune37.0ms (0.4%)

Memory

-30.0MiB live, 85.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	264	7	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	7	272

Accuracy

100.0%

Counts

272 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
▶	51.7%	(fma.f64 y y #s(literal 0 binary64))
▶	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
▶	38.8%	(fma.f64 x x #s(literal 0 binary64))
▶	68.8%	(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
▶	56.2%	(*.f64 x (+.f64 #s(literal 2 binary64) x))

Compiler

Compiled 118 to 74 computations (37.3% saved)

simplify6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
✓	cost-diff	192	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))

Rules

56×	`+-lowering-+.f64`
56×	`+-lowering-+.f32`
40×	`accelerator-lowering-fma.f32`
40×	`accelerator-lowering-fma.f64`
24×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	30	56
2	49	56
3	56	56
0	56	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x x) (+ (* x 2) (* y y)))
x
(+ (* x 2) (* y y))
2
(* y y)
y
(+ (* x x) 0)
x
0
(+ (* y y) 0)
y
0
(* x (+ 2 x))
x
(+ 2 x)
2
(+ (* 2 x) (+ (* y y) 0))
2
x
(+ (* y y) 0)
y
0

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

localize52.0ms (0.5%)

Memory

5.3MiB live, 93.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))

Samples

34.0ms

256×

valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 15.0ms (63.9% of total)

ival-mult: 8.0ms (34.1% 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

7.9MiB live, 7.9MiB allocated

Counts

8 → 132

Calls

Call 1

Inputs
#<alt (+ (* x x) (+ (* x 2) (* y y)))>
#<alt (+ (* x 2) (* y y))>
#<alt (* y y)>
#<alt (+ (* x x) 0)>
#<alt (+ (* y y) 0)>
#<alt (+ 2 x)>
#<alt (* x (+ 2 x))>
#<alt (+ (* 2 x) (+ (* y y) 0))>

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ 2 x))
0.0ms	x	@	0	(* x (+ 2 x))
0.0ms	x	@	inf	(* x (+ 2 x))
0.0ms	y	@	inf	(* y y)
0.0ms	x	@	0	(+ (* x 2) (* y y))

rewrite571.0ms (5.5%)

Memory

-41.9MiB live, 769.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 156×	`accelerator-lowering-fma.f32`
6 156×	`accelerator-lowering-fma.f64`
3 694×	`/-lowering-/.f32`
3 694×	`/-lowering-/.f64`
3 432×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	105	40
2	966	40
0	8826	37

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 830

Calls

Call 1

Inputs
(+ (* x x) (+ (* x 2) (* y y)))
(+ (* x 2) (* y y))
(* y y)
(+ (* x x) 0)
(+ (* y y) 0)
(+ 2 x)
(* x (+ 2 x))
(+ (* 2 x) (+ (* y y) 0))

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

simplify341.0ms (3.3%)

Memory

43.9MiB live, 467.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`accelerator-lowering-fma.f32`
7 768×	`accelerator-lowering-fma.f64`
3 084×	`-lowering-.f32`
3 084×	`-lowering-.f64`
2 114×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	700
1	132	700
2	353	652
3	1253	652
4	3427	652
5	7423	652
0	8335	600

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval214.0ms (2.1%)

Memory: -10.7MiB live, 305.4MiB allocated
Compiler: Compiled 35 322 to 1 850 computations (94.8% saved)

prune139.0ms (1.3%)

Memory

-10.7MiB live, 360.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 039	7	1 046
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	1 045	8	1 053

Accuracy

100.0%

Counts

1 053 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
▶	81.9%	(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
	56.2%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
▶	68.8%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
▶	51.7%	(*.f64 y y)
✓	56.2%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	38.8%	(*.f64 x x)
▶	19.6%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 107 to 69 computations (35.5% saved)

simplify5.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
18×	`accelerator-lowering-fma.f32`
18×	`accelerator-lowering-fma.f64`
10×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	16	39
2	29	39
3	29	39
0	29	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x x) (+ (* y y) 0))
x
(+ (* y y) 0)
y
0
(* x 2)
x
2
(* x x)
x
(* y y)
y
(+ (* 2 x) (* y y))
2
x
(* y y)
y

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

localize35.0ms (0.3%)

Memory

-15.9MiB live, 100.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-mult: 8.0ms (65.2% of total)

ival-add: 4.0ms (32.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

6 → 96

Calls

Call 1

Inputs
#<alt (+ (* x x) (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (* x 2)>
#<alt (* x x)>
#<alt (* y y)>
#<alt (+ (* 2 x) (* y y))>

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

Calls

24 calls:

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

rewrite1.5s (14.9%)

Memory

-13.4MiB live, 549.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 062×	`accelerator-lowering-fma.f32`
9 062×	`accelerator-lowering-fma.f64`
3 528×	`-lowering-.f32`
3 528×	`-lowering-.f64`
2 736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	56	26
2	517	26
3	6812	26
0	8035	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 564

Calls

Call 1

Inputs
(+ (* x x) (+ (* y y) 0))
(+ (* y y) 0)
(* x 2)
(* x x)
(* y y)
(+ (* 2 x) (* y y))

Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))))
(-.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (-.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(fma.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))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 y (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)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.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))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.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))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
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(/.f64 (.f64 (.f64 (fma.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 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #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 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (fma.f64 y (fma.f64 y (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)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64)) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 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)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y y (.f64 x #s(literal -2 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -4 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(.f64 (fma.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 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))))))
(.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64)))))))))
(.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (/.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))))
(.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.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 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64)))))))))
(.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (fma.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 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -4 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (/.f64 (fma.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 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y (.f64 x #s(literal -2 binary64))) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (.f64 (.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)))) #s(literal 64 binary64)))) (fma.f64 (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (-.f64 (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.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 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (-.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y (.f64 x #s(literal -2 binary64))) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64))))))))) (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (.f64 y (.f64 y (fma.f64 y y (.f64 x #s(literal -2 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))))

simplify303.0ms (2.9%)

Memory

5.4MiB live, 553.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 534×	`accelerator-lowering-fma.f32`
6 534×	`accelerator-lowering-fma.f64`
3 676×	`-lowering-.f32`
3 676×	`-lowering-.f64`
1 780×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	432
1	77	432
2	196	432
3	714	432
4	2146	432
5	3841	432
6	7213	432
0	8299	396

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval93.0ms (0.9%)

Memory: 21.9MiB live, 187.9MiB allocated
Compiler: Compiled 23 459 to 1 048 computations (95.5% saved)

prune160.0ms (1.6%)

Memory

4.0MiB live, 246.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	795	1	796
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	796	8	804

Accuracy

100.0%

Counts

804 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
▶	56.2%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
▶	81.9%	(fma.f64 x x (*.f64 y y))
✓	68.8%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	51.7%	(*.f64 y y)
✓	56.2%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	38.8%	(*.f64 x x)
✓	19.6%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 56 to 36 computations (35.7% saved)

simplify8.0ms (0.1%)

Memory

-24.0MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
✓	cost-diff	192	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	0	(fma.f64 x x (*.f64 y y))

Rules

40×	`+-lowering-+.f64`
40×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
14×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	21	37
2	38	37
3	39	37
4	41	37
0	41	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x x) (* y y))
x
(* y y)
y
(+ (* x x) (+ (* x 2) 0))
x
(+ (* x 2) 0)
2
0
(+ (* y y) (+ (* x 2) 0))
y
(+ (* x 2) 0)
x
2
0

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

localize35.0ms (0.3%)

Memory

10.1MiB live, 92.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)

Samples

23.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

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

ival-mult: 7.0ms (59.4% of total)

ival-add: 5.0ms (42.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (+ (* x x) (* y y))>
#<alt (* y y)>
#<alt (+ (* x x) (+ (* x 2) 0))>
#<alt (+ (* x 2) 0)>
#<alt (+ (* y y) (+ (* x 2) 0))>

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

Calls

21 calls:

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

rewrite403.0ms (3.9%)

Memory

12.4MiB live, 681.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 390×	`accelerator-lowering-fma.f32`
11 390×	`accelerator-lowering-fma.f64`
4 814×	`-lowering-.f32`
4 814×	`-lowering-.f64`
3 778×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	69	25
2	639	25
0	8802	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 605

Calls

Call 1

Inputs
(+ (* x x) (* y y))
(* y y)
(+ (* x x) (+ (* x 2) 0))
(+ (* x 2) 0)
(+ (* y y) (+ (* x 2) 0))

Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y)))))
(-.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (.f64 (+.f64 y x) (-.f64 y x))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (+.f64 x y) (-.f64 x y)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))))))
(neg.f64 (/.f64 (.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 y (.f64 y (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (fma.f64 y (.f64 y (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))) (neg.f64 (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 (.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))
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(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (.f64 (/.f64 (.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 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 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))) (+.f64 (/.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))))))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (fma.f64 y (.f64 y (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 y (.f64 y (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (fma.f64 y (.f64 y (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 y (.f64 (.f64 y (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))))))
(.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))))
(.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))) (.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))))
(.f64 (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 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 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))

simplify304.0ms (3%)

Memory

-0.0MiB live, 443.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 432×	`accelerator-lowering-fma.f32`
7 432×	`accelerator-lowering-fma.f64`
4 068×	`-lowering-.f32`
4 068×	`-lowering-.f64`
1 558×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	414
1	96	414
2	239	414
3	800	414
4	2265	414
5	4155	414
0	8341	378

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval104.0ms (1%)

Memory: 18.9MiB live, 208.7MiB allocated
Compiler: Compiled 20 624 to 1 491 computations (92.8% saved)

prune2.2s (21.1%)

Memory

-17.1MiB live, 193.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	899	2	901
Fresh	0	0	0
Picked	2	1	3
Done	1	4	5
Total	902	7	909

Accuracy

100.0%

Counts

909 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	81.9%	(fma.f64 x x (*.f64 y y))
	56.2%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	51.7%	(*.f64 y y)
✓	56.2%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	38.8%	(*.f64 x x)
✓	19.6%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 158 to 57 computations (63.9% saved)

regimes32.0ms (0.3%)

Memory

-8.3MiB live, 69.4MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Outputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))

Calls

5 calls:

8.0ms	y
6.0ms	(*.f64 y y)
6.0ms	x
6.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
5.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes18.0ms (0.2%)

Memory

-3.8MiB live, 32.5MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))

Outputs
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))

Calls

3 calls:

8.0ms	x
5.0ms	y
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes18.0ms (0.2%)

Memory

9.1MiB live, 48.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))

Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))

Calls

3 calls:

7.0ms	x
5.0ms	y
4.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes16.0ms (0.2%)

Memory

5.5MiB live, 44.8MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))

Outputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
98.7%	3	`x`
97.6%	2	`y`
97.6%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory

-9.5MiB live, 32.6MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))

Outputs
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(*.f64 x x)

Calls

3 calls:

6.0ms	y
3.0ms	x
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
91.2%	3	`x`
86.8%	2	`y`
86.8%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory

-12.0MiB live, 27.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))

Outputs
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 y y)

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.7%	2	`y`
86.7%	2	`(*.f64 y y)`
74.2%	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.2%	3	`x`
72.8%	3	`y`
69.2%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)

Outputs
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
42.4%	2	`y`
54.9%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-27.9MiB live, 10.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))

Outputs
(*.f64 x #s(literal 2 binary64))

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
19.6%	1	`y`
19.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.006576059941075e-187	1.9467034918307794e-180

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch27.0ms (0.3%)

Memory

14.1MiB live, 51.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5549261900396461e+128	3.0010643727763366e+143
11.0ms	-1.1709221914188644e+83	-1.673936261366666e+79

Samples

16.0ms

288×

valid

Compiler

Compiled 286 to 193 computations (32.5% saved)

Precisions

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

ival-mult: 7.0ms (73.2% of total)

ival-add: 2.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3936331793434052e+23	4.2765197385572554e+27

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch29.0ms (0.3%)

Memory

0.7MiB live, 40.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5549261900396461e+128	3.0010643727763366e+143
10.0ms	-1.1709221914188644e+83	-1.673936261366666e+79

Samples

18.0ms

288×

valid

Compiler

Compiled 232 to 157 computations (32.3% saved)

Precisions

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

ival-mult: 5.0ms (59.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

-0.8MiB live, 36.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.42218701954823157	7.532928287857835
12.0ms	-1679345.6561328396	-0.05948897829008092

Samples

13.0ms

256×

valid

Compiler

Compiled 208 to 157 computations (24.5% saved)

Precisions

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

ival-mult: 5.0ms (68.6% of total)

ival-add: 2.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	108
1	49	108

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (fma.f64 x x (.f64 x #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 x #s(literal -23000000000000000401041362640013923720795156085440307288426962566361811754418176 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 155999999999999992487959120893598743014917885140726753041742379310855103503689133135812078032377884672187294218035778869350367232 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 199999999999999983222784 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 x #s(literal -42000000000000001590860518205872056614479423751160824604641861538702367559516160 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 155999999999999992487959120893598743014917885140726753041742379310855103503689133135812078032377884672187294218035778869350367232 binary64)) (.f64 y y) (*.f64 x x)))
(if (<=.f64 x #s(literal -2 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 x #s(literal 2 binary64))

Outputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (fma.f64 x x (.f64 x #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 x #s(literal -23000000000000000401041362640013923720795156085440307288426962566361811754418176 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 155999999999999992487959120893598743014917885140726753041742379310855103503689133135812078032377884672187294218035778869350367232 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 199999999999999983222784 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 199999999999999983222784 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))
(if (<=.f64 x #s(literal -42000000000000001590860518205872056614479423751160824604641861538702367559516160 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 155999999999999992487959120893598743014917885140726753041742379310855103503689133135812078032377884672187294218035778869350367232 binary64)) (.f64 y y) (*.f64 x x)))
(if (<=.f64 x #s(literal -2 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 x #s(literal 2 binary64))

soundness1.5s (14.8%)

Memory

-15.5MiB live, 989.6MiB allocated

Rules

11 390×	`accelerator-lowering-fma.f32`
11 390×	`accelerator-lowering-fma.f64`
9 938×	`accelerator-lowering-fma.f32`
9 938×	`accelerator-lowering-fma.f64`
9 062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	56	26
2	517	26
3	6812	26
0	8035	24
0	36	298
1	101	298
2	272	298
3	917	298
4	2774	298
5	4851	298
6	7645	298
0	8375	282
0	43	700
1	132	700
2	353	652
3	1253	652
4	3427	652
5	7423	652
0	8335	600
0	15	42
1	105	40
2	966	40
0	8826	37
0	11	27
1	69	25
2	639	25
0	8802	23
0	8	20
1	42	20
2	401	20
3	6135	20
0	8089	19

Stop Event

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

Compiler

Compiled 302 to 154 computations (49% saved)

preprocess151.0ms (1.5%)

Memory: -7.3MiB live, 147.8MiB allocated
Remove: (abs y)
Compiler: Compiled 306 to 116 computations (62.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample738.0ms (7.2%)

preprocess35.0ms (0.3%)

explain128.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize38.0ms (0.4%)

series4.0ms (0%)

rewrite393.0ms (3.8%)

simplify520.0ms (5%)

eval30.0ms (0.3%)

prune37.0ms (0.4%)

simplify6.0ms (0.1%)

localize52.0ms (0.5%)

series3.0ms (0%)

rewrite571.0ms (5.5%)

simplify341.0ms (3.3%)

eval214.0ms (2.1%)

prune139.0ms (1.3%)

simplify5.0ms (0%)

localize35.0ms (0.3%)

series1.0ms (0%)

rewrite1.5s (14.9%)

simplify303.0ms (2.9%)

eval93.0ms (0.9%)

prune160.0ms (1.6%)

simplify8.0ms (0.1%)

localize35.0ms (0.3%)

series1.0ms (0%)

rewrite403.0ms (3.9%)

simplify304.0ms (3%)

eval104.0ms (1%)

prune2.2s (21.1%)

regimes32.0ms (0.3%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

bsearch26.0ms (0.3%)

simplify8.0ms (0.1%)

soundness1.5s (14.8%)

preprocess151.0ms (1.5%)

end0.0ms (0%)

Profiling