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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample699.0ms (9.3%)

Memory

-0.4MiB live, 1 303.2MiB allocated

Samples

476.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-mult: 163.0ms (64.9% of total)

ival-add: 75.0ms (29.8% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain92.0ms (1.2%)

Memory

-20.2MiB live, 208.4MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
15	(-6.249955659002757e+245 -1.1443505469445865e+297)	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`	nan-rescue	15	0
↳	`(*.f64 x x)`	overflow	66
↳	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`	overflow	66
↳	`(*.f64 y y)`	overflow	69

Confusion

	Predicted +	Predicted -
+	0	0
-	15	241

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	15	0	241

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 109 to 42 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 17.0ms (76.9% of total)

ival-add: 4.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess35.0ms (0.5%)

Memory

2.2MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	68	49
2	215	46
3	578	45
4	1132	45
5	1396	45
6	1445	45
0	8	11
0	13	9
1	20	9
2	30	9
3	32	9
0	32	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify8.0ms (0.1%)

Memory

-19.0MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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×	`lower-fma.f64`
28×	`lower-fma.f32`
28×	`lower-+.f32`
24×	`lower-+.f64`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	20	26
2	30	26
3	32	26
0	32	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

22.4MiB live, 61.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
accuracy	0.0078125	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

15.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (69.6% of total)

ival-add: 2.0ms (27.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))>
#<alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 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	@	0	(+ (* x 2) (* x x))
0.0ms	x	@	inf	(+ (* x 2) (* x x))
0.0ms	y	@	0	(+ (+ (* x 2) (* x x)) (* y y))
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	0	(* x 2)

simplify393.0ms (5.2%)

Memory

-10.2MiB live, 467.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
3 308×	`lower-*.f64`
3 308×	`lower-*.f32`
1 722×	`lower--.f64`

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

rewrite404.0ms (5.4%)

Memory

-5.2MiB live, 678.3MiB allocated

Rules

6 744×	`lower-fma.f64`
6 744×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 710×	`lower-*.f64`
2 642×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19

Stop Event

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

Counts

4 → 211

Calls

Call 1

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

eval29.0ms (0.4%)

Memory: 15.7MiB live, 93.2MiB allocated
Compiler: Compiled 8 653 to 649 computations (92.5% saved)

prune56.0ms (0.7%)

Memory

-0.3MiB live, 79.6MiB 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 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
▶	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
	84.0%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
▶	69.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	53.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	54.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
▶	39.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 120 to 66 computations (45% saved)

simplify7.0ms (0.1%)

Memory

-25.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

28×	`lower-fma.f32`
28×	`lower-+.f32`
26×	`lower-+.f64`
22×	`lower-fma.f64`
14×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	27	108
1	40	108
2	44	108
0	44	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.6%)

Memory

3.3MiB live, 120.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	19.37943676937267	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(*.f64 x (+.f64 #s(literal 2 binary64) x))
accuracy	28.9363887361611	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
accuracy	0	(*.f64 y y)
accuracy	29.641241619927584	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	38.861923395661584	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))

Samples

27.0ms

256×

valid

Compiler

Compiled 101 to 16 computations (84.2% saved)

Precisions

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

ival-mult: 9.0ms (54.2% of total)

ival-add: 7.0ms (42.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

11 → 216

Calls

Call 1

Inputs
#<alt (fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))>
#<alt (fma.f64 x #s(literal 2 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))>
#<alt #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))>
#<alt (fma.f64 #s(literal 2 binary64) x (*.f64 y y))>

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 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 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 (+ (* 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 (+ (* 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 (* 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>
#<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 (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)))))>

Calls

54 calls:

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

simplify339.0ms (4.5%)

Memory

6.1MiB live, 486.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
2 114×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1400
1	132	1400
2	353	1304
3	1253	1304
4	3427	1304
5	7423	1304
0	8335	1188

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

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 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 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)
(+ (* 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))
(+ (* 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)
(* 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
(+ 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))))
(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)))))

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

rewrite432.0ms (5.7%)

Memory

11.0MiB live, 929.3MiB allocated

Rules

12 188×	`lower-fma.f32`
12 182×	`lower-fma.f64`
5 520×	`lower-*.f32`
5 514×	`lower-*.f64`
3 722×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
0	27	92
1	111	92
2	775	92
0	8286	87

Stop Event

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

Counts

11 → 339

Calls

Call 1

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

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

eval109.0ms (1.5%)

Memory: -15.7MiB live, 133.7MiB allocated
Compiler: Compiled 11 303 to 773 computations (93.2% saved)

prune53.0ms (0.7%)

Memory

-8.2MiB live, 121.5MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	585	4	589
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	589	7	596

Accuracy

100.0%

Counts

596 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
▶	54.8%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
▶	69.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
✓	53.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	54.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
▶	18.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
✓	39.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 54 to 29 computations (46.3% saved)

simplify6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

36×	`lower-+.f64`
36×	`lower-+.f32`
32×	`lower-fma.f32`
26×	`lower-fma.f64`
16×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	29	115
1	40	115
2	46	115
0	46	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.6%)

Memory

-15.3MiB live, 101.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	27.767052787584642	#s(approx (+ (* x 2) (* y y)) (*.f64 y y))
accuracy	0	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	34.659896363220405	#s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	19.37943676937267	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
accuracy	0.00390625	(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
accuracy	28.9363887361611	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
accuracy	29.611072224875585	#s(approx (+ 2 x) #s(literal 2 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 93 to 16 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 12.0ms (64.3% of total)

ival-add: 7.0ms (37.5% 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

8.5MiB live, 8.5MiB allocated

Counts

12 → 228

Calls

Call 1

Inputs
#<alt #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))>
#<alt (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))>
#<alt #s(approx (+ 2 x) #s(literal 2 binary64))>
#<alt #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))>
#<alt (fma.f64 y y (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))>
#<alt #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))>
#<alt #s(approx (+ (* x 2) (* y y)) (*.f64 y y))>
#<alt (*.f64 y y)>

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 (* 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>
#<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 (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) (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)))>
#<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 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 (* 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 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)>

Calls

57 calls:

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

simplify255.0ms (3.4%)

Memory

18.0MiB live, 368.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
2 114×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1396
1	132	1396
2	353	1312
3	1256	1312
4	3436	1312
5	7419	1312
0	8331	1194

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

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)))))
(* 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
(+ 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))))
(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) (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)))
(* 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))
(+ (* 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)))))
(* 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))
(+ (* 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)

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

rewrite519.0ms (6.9%)

Memory

-16.3MiB live, 617.8MiB allocated

Rules

6 308×	`lower-fma.f32`
6 302×	`lower-fma.f64`
5 186×	`lower-*.f32`
5 178×	`lower-*.f64`
4 606×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	29	106
1	116	106
2	899	106
0	8299	104

Stop Event

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

Counts

12 → 148

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (.f64 (fma.f64 y y (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (fma.f64 y y (.f64 #s(literal -2 binary64) x)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.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)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.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)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))))
(/.f64 (.f64 (fma.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 512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.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 512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) #s(literal 4 binary64))))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) #s(literal 4 binary64))))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) #s(literal 4 binary64))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) #s(literal 4 binary64))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))) (+.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))))
(.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x)))))))
(.f64 (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (.f64 #s(literal -2 binary64) x)))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))))
(.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
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(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
(/.f64 (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (-.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y))))) (fma.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))) #s(literal 1 binary64)))
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(/.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))) (.f64 (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (-.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 x x)))) (neg.f64 (-.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) (/.f64 (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) (/.f64 (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ ( x 2) (* y y)) (.f64 y y))))) (.f64 (/.f64 (.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) (/.f64 (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) #s(approx (+ ( x 2) (* y y)) (.f64 y y)))) (/.f64 (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (-.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (fma.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))))))
(.f64 (.f64 (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))))
(.f64 (neg.f64 (fma.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) #s(approx (+ ( x 2) (* y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (-.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (neg.f64 (.f64 (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (.f64 y y))) (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x x) #s(approx (+ (* x 2) (* y y)) (*.f64 y y))))))
(.f64 #s(literal 1 binary64) (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (*.f64 y y))))
(.f64 (.f64 (fma.f64 x x #s(approx (+ (* x 2) (* y y)) (.f64 y y))) (-.f64 #s(approx (+ ( x 2) (* y y)) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* x 2) (* y y)) (.f64 y y)) (.f64 x x))))
#s(approx (+ (* x 2) (* y y)) (*.f64 y y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

eval43.0ms (0.6%)

Memory: 12.6MiB live, 111.5MiB allocated
Compiler: Compiled 7 788 to 440 computations (94.4% saved)

prune25.0ms (0.3%)

Memory

-16.9MiB live, 60.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	374	0	374
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	374	7	381

Accuracy

100.0%

Counts

381 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
✓	54.8%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
✓	69.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
✓	53.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	54.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
✓	18.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
✓	39.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 139 to 50 computations (64% saved)

regimes23.0ms (0.3%)

Memory

7.1MiB live, 44.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

Calls

5 calls:

6.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
4.0ms	(*.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)

regimes44.0ms (0.6%)

Memory

-11.6MiB live, 30.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	y
4.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.7%	3	`x`
97.1%	2	`y`
99.7%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
99.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
97.1%	2	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes15.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
88.3%	2	`y`
88.3%	2	`(*.f64 y y)`
92.7%	3	`x`
69.7%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
92.1%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
92.1%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes25.0ms (0.3%)

Memory

-23.1MiB live, 16.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
88.3%	2	`y`
88.3%	2	`(*.f64 y y)`
76.9%	3	`x`
76.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

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

#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

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

Calls

3 calls:

2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	(*.f64 y y)
2.0ms	y

Results

Accuracy	Segments	Branch
76.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
76.5%	4	`y`
72.9%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory

-15.2MiB live, 23.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
54.6%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
39.3%	1	`(*.f64 y y)`
42.9%	3	`y`
54.4%	3	`x`
54.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

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

Calls

4 calls:

1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

Accuracy	Segments	Branch
39.3%	1	`y`
39.3%	1	`x`
39.3%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
39.3%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.341288403724016e-13	1626313.9558214878

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2190973391675966e+30	2.2772572982461853e+37

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2190973391675966e+30	2.2772572982461853e+37

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch11.0ms (0.2%)

Memory

-13.5MiB live, 24.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.151910865403311e-18	1.5397668101267612e-16

Samples

5.0ms

112×

valid

Compiler

Compiled 114 to 76 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (37.8% of total)

ival-mult: 1.0ms (37.8% 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2190973391675966e+30	2.2772572982461853e+37

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00035210143188569546	95961.86642313153

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	277
1	52	277

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4000000000000000079538499354624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4000000000000000079538499354624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 1784852045121347/40564819207303340847894502572032 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x (+.f64 #s(literal 2 binary64) x))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4000000000000000079538499354624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4000000000000000079538499354624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4000000000000000079538499354624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 1784852045121347/40564819207303340847894502572032 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x (+.f64 #s(literal 2 binary64) x))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (.f64 y y) #s(literal 1784852045121347/40564819207303340847894502572032 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4000000000000000079538499354624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness1.8s (23.8%)

Memory

-19.3MiB live, 593.8MiB allocated

Rules

12 188×	`lower-fma.f32`
12 182×	`lower-fma.f64`
9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
7 768×	`lower-fma.f64`

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
0	8	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19
0	19	100
0	27	92
1	111	92
2	775	92
0	8286	87
0	43	1400
1	132	1400
2	353	1304
3	1253	1304
4	3427	1304
5	7423	1304
0	8335	1188

Stop Event

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

Compiler

Compiled 295 to 114 computations (61.4% saved)

preprocess2.0s (26%)

Memory: -16.8MiB live, 175.8MiB allocated
Remove: (abs y)
Compiler: Compiled 346 to 100 computations (71.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample699.0ms (9.3%)

explain92.0ms (1.2%)

preprocess35.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize23.0ms (0.3%)

series4.0ms (0.1%)

simplify393.0ms (5.2%)

rewrite404.0ms (5.4%)

eval29.0ms (0.4%)

prune56.0ms (0.7%)

simplify7.0ms (0.1%)

localize47.0ms (0.6%)

series5.0ms (0.1%)

simplify339.0ms (4.5%)

rewrite432.0ms (5.7%)

eval109.0ms (1.5%)

prune53.0ms (0.7%)

simplify6.0ms (0.1%)

localize47.0ms (0.6%)

series3.0ms (0%)

simplify255.0ms (3.4%)

rewrite519.0ms (6.9%)

eval43.0ms (0.6%)

prune25.0ms (0.3%)

regimes23.0ms (0.3%)

regimes44.0ms (0.6%)

regimes15.0ms (0.2%)

regimes3.0ms (0%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.8s (23.8%)

preprocess2.0s (26%)

end0.0ms (0%)

Profiling